# Papers

**Source**: https://www.maths.tcd.ie/research/papers/
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# Papers

*The TCDMATH Report Series is a series based at the [School of Mathematics, Trinity College, Dublin 2, Ireland.](http://www.maths.tcd.ie/) It contains technical reports and preprints produced by members of the School and was started in this form in 1997.*\
If there are any problems, contact Colm Ó Dúnlaing,\
[odunlain@maths.tcd.ie. (click here to send e-mail)](mailto: odunlain@maths.tcd.ie)

**TCDMATH 24-02.**\
\
A perturbative approach to the non-relativistic string spectrum,
by Marius de Leeuw, Andrea
Fontanella, and Juan Miguel Nieto García.
\
[link to arXiv 2403.09563](http://arxiv.org/abs/2403.09563)
\

**TCDMATH 24-01.**\
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**TCDMATH 23-01.**\
Non-perturbative path integral quantization of the
electroweak model: the Maxwell integration, by M. P. Fry.
\

**TCDMATH 22-09.**\
Decay channels for double extremal black holes in four dimensions,
by Johannes Aspman and Jan Manschot.
\

**TCDMATH 22-08.**\
Supersymmetric black holes and TT deformation, by Jan Manschot, and
Swapnamay Mondal.
\

**TCDMATH 22-07.**\
Topological twists of massive SQCD, Part I,
by Johannes Aspman, Elias Furrer, and
Jan Manschot.
\

**TCDMATH 22-06.**\
Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau
threefolds, by
Sergei Alexandrov, Nava Gaddam, Jan Manschot, Boris Pioline.
\

**TCDMATH 22-05.**\
Classifying integrable spin-1/2 chains with nearest neighbour
interactions, by
Marius de Leeuw, Anton Pribytok, and Paul Ryan.
\

**TCDMATH 22-04.**\
Celestial holography on Kerr-Schild backgrounds, by
Riccardo Gonzo, Tristan McLoughlin, and Andrea Puhm.
[\](http://arxiv.org/abs/2207.13719)
\

**TCDMATH 22-03.**\
Lifting integrable models and long-range interactions, by
Marius de Leeuw and Ana. L. Retore.
\

**TCDMATH 22-02.**\
The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft
Theorems and Celestial Amplitudes, by
Tristan McLoughlin, Andrea Puhm, and Ana-Maria Raclariu.
\

**TCDMATH 22-01.**\
Chaotic spin chains in AdS/CFT, by Tristan McLoughlin and Anne
Spiering.
\

**TCDMATH 21-16.**\
Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2, by Sergey Frolov and
Alessandro Sfondrini.
\

**TCDMATH 21-15.**\
New Dressing Factors for AdS3/CFT2, by Sergey Frolov and Alessandro
Sfondrini.
\

**TCDMATH 21-14.**\
Massless S matrices for AdS3/CFT2,
by Sergey Frolov and Alessandro Sfondrini.
\

**TCDMATH 21-13.**\
Four flavours, triality and bimodular forms
by Johannes Aspman, Elias Furrer, and Jan Manschot.
\
[link to arXiv 2110.11969](http://arxiv.org/abs/2110.11969)
\

**TCDMATH 21-12.**\
Scaling Black Holes and Modularity, by Aradhita Chattopadhyaya,
Jan Manschot, and Swapnamay Mondal.
\
[link to arXiv 2110.11969](http://arxiv.org/abs/2110.05504)
\

**TCDMATH 21-11.**\
Cutting and gluing with running couplings in N = 2 QCD, by
Johannes Aspman, Elias Furrer, and Jan Manschot.
\
[link to arXiv 2107.04600](http://arxiv.org/abs/2107.04600)
\

**TCDMATH 21-10.**\
Integrable deformations of AdS/CFT, by Marius de Leeuw, Anton
Pribytok, Ana L. Retore, and Paul Ryan.
\

**TCDMATH 21-09.**\
Spin chains with boundary inhomogeneities, by Rafael I.
Nepomechie and Ana L. Retore.
\

**TCDMATH 21-08.**\
A coefficient related to splay-to-root traversal, correct
to thousands of decimal places, by Colm Ó Dúnlaing.
\

**TCDMATH 21-07.**\
The diagrammatic coaction beyond one loop, by Samuel Abreu,
Ruth Britto, Claude Duhr, Einan Gardi, and James Matthew.
\

**TCDMATH 21-06.**\
Coaction and double-copy properties of configuration-space
integrals at genus zero, by Ruth Britto, Sebastian Mizera,
Carlos Rodriguez, and Oliver Schlotterer.
\

**TCDMATH 21-05.**\
The dimension-shift conjecture for one-loop amplitudes, by
Ruth Britto, Guy R. Jehu, and Andrea Orta.
\

**TCDMATH 21-04.**\
Topological correlators of SU(2), N=2\*SYM on four-manifolds,
by Jan Manschot and Gregory W. Moore.
\

**TCDMATH 21-03.**\
TTbar Deformations of nonrelativistic models, by
Chantelle Esper and Sergey Frolov
\

**TCDMATH 21-02.**\
Constructing Integrable Lindblad Superoperators, by Marius de Leeuw,
Chiara Paletta, and Balázs Pozsgay.
\

**TCDMATH 21-01.**\
Factorization identities and algebraic Bethe ansatz for
D(2)2 models, by Rafael I. Nepomechie and Ana L. Retore.
\

**TCDMATH 20-15.**\
Determinant Form of Correlators in High Rank Integrable
Spin Chains via Separation of Variables, by Nikolay Gromov,
Fedor Levkovich-Maslyuk, and Paul Ryan.
\

**TCDMATH 20-14.**\
Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT, by
Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L.
Retore, and Alessandro Torrielli.
\

**TCDMATH 20-13.**\
Quantum Chaos in Perturbative super-Yang-Mills Theory, by
Tristan McLoughlin, Raul Pereira, and Anne Spiering.
\

**TCDMATH 20-12.**\
Yang-Baxter and the Boost: splitting the difference, by
Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L.
Retore, and Paul Ryan.
\

**TCDMATH 20-11.**\
Horizon states and the sign of their index in N=4 dyons, by
Aradhita Chattopadhyaya and Justin R. David.
\

**TCDMATH 20-10.**\
Vafa-Witten invariants from exceptional collections, by
Guillaume Beaujard, Jan Manschot, and Boris Pioline.
\

**TCDMATH 20-09.**\
Elliptic Loci of SU(3) Vacua, by Johannes Aspman, Elias
Furrer, and Jan Manschot.
\

**TCDMATH 20-08.**\
Bound State Scattering Simplified, by Marius de Leeuw,
Burkhard Eden, and Alessandro Sfondrini.
\

**TCDMATH 20-07.**\
DiffExp, a Mathematica package for computing Feynman
integrals in terms of one-dimensional series expansions,
by
Martijn Hidding.
\

**TCDMATH 20-06.**\
One-Loop Non-Planar Anomalous Dimensions in Super
Yang-Mills Theory, by Tristan McLoughlin, Raul Pereira, and
Anne Spiering.
\

**TCDMATH 20-05.**\
Near Lightcone Thermal Conformal
Correlators and Holography, by Andrei Parnachev.
\

**TCDMATH 20-04.**\
Stress Tensor Sector of Conformal Correlators, by Robin Karlsson,
Manuela Kulaxizi, Andrei Parnachev, and Petar Tadić.
\

**TCDMATH 20-03.**\
Gravitational couplings in N=2 heterotic
compactifications with Wilson lines, by Aradhita Chattopadhyaya.
\

**TCDMATH 20-02.**\
Classifying nearest-neighbour interactions and deformations
of AdS, by Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana
L. Retore, and Paul Ryan.
\

**TCDMATH 20-01.**\
Separation of variables for rational gl(n) spin chains in
any compact representation, via fusion, embedding morphism
and Backlund flow, by Paul Ryan and Dmytro Volin.
\

**TCDMATH 19-32.**\
Multi-particle finite-volume effects for hexagon
tessellations, by Marius de Leeuw, Burkhard Eden, Dennis le
Plat, Tim Meier, and Alessandro Sfondrini.\

**TCDMATH 19-31.**\
Spin Chain Overlaps and the Twisted Yangian, by Marius de
Leeuw, Tamás Gombor, Charlotte Kristjansen, Georgios
Linardopoulos, and Balázs Pozsgay. \

**TCDMATH 19-30.**\
A simple model for Hawking radiation, by Swapnamay Mondal.\

**TCDMATH 19-29.**\
The complete set of two-loop master integrals for Higgs +
jet production in QCD, by
Hjalte Frellesvig, Martijn Hidding, Leila Maestri,
Francesco Moriello, and Giulio Salvatori.\

**TCDMATH 19-28.**\
Effective gravitational couplings of four-dimensional �${\cal N}=2$
supersymmetric gauge theories, by Jan Manschot, Gregory W.
Moore, and Xinyu Zhang.\

**TCDMATH 19-27.**\
Convolutions on the complex torus, by Marianne Leitner.
\

**TCDMATH 19-26.**\
Multi-stress tensors and next-to-leading singularities in
the Regge limit, by Robin Karlsson.
\

**TCDMATH 19-25.**\
Heterotic strings on $(K3\times T^2)/\IZ\_3$ and their dual
Calabi-Yau threefolds,
by
Andreas Banlaki, Aradhita Chattopadhyaya, Abhiram Kidambi,
Thorsten Schimannek, and Maria Schimpf.
\

**TCDMATH 19-24.**\
New integrable 1D models of superconductivity, by Marius de
Leeuw, Anton Pribytok, Ana L. Retore, and Paul Ryan.
\

**TCDMATH 19-23.**\
Non-planar data of N=4 SYM, by Thiago Fleury and
Raul Pereira.
\

**TCDMATH 19-22.**\
Dual Separated Variables and Scalar Products, by
Nikolay Gromov, Fedor Levkovich-Maslyuk, Paul Ryan, and
Dmytro Volin.
\

**TCDMATH 19-21.**\
Mocking the u-plane integral, by Georgios Korpas, Jan Manschot,
Gregory W. Moore, and Iurii Nidaiev.
\

**TCDMATH 19-20.**\
From positive geometries to a coaction on hypergeometric
functions, by Samuel Abreu, Ruth Britto, Claude Duhr, Einan
Gardi, and James Matthew.
\

**TCDMATH 19-19.**\
S-duality and refined BPS indices, by Sergei Alexandrov, Jan
Manschot, and Boris Pioline.
\

**TCDMATH 19-18.**\
Leading Multi-Stress Tensors and Conformal Bootstrap,
by Robin
Karlsson, Manuela Kulaxizi, Andrei Parnachev, and Petar Tadić.
\

**TCDMATH 19-17.**\
One-point functions in AdS/dCFT, by Marius de Leeuw.
\

**TCDMATH 19-16.**\
Evaluating two-loop non-planar master integrals for Higgs +
jet production with full heavy-quark mass dependence,
by R. Bonciani, V. Del Duca, H. Frellesvig, J.M. Henn, M.
Hidding, L. Maestri, F. Moriello, G. Salvatori, and V.A. Smirnov.
\

**TCDMATH 19-15.**\
$T\bar{T}$, $\tilde{J}J$, $JT$, and $\tilde{J}T$ deformations, by
Sergey Frolov.
\

**TCDMATH 19-14.**\
The light-fermion contribution to the exact Higgs-gluon form
factor in QCD, by
Robert V. Harlander, Mario Prausa, and Johann Usovitsch.
\

**TCDMATH 19-13.**\
Polylogarithms from the bound state S-matrix, by Marius de
Leeuw, Burkhard Eden, Dennis le Plat, and Tim Meier.
\

**TCDMATH 19-12.**\
Electroweak pseudo-observables and Z-boson form factors at
two-loop accuracy, by Ievgen Dubovyk, Ayres Freitas, Janusz
Gluza, Tord Riemann, and Johann Usovitsch.
\

**TCDMATH 19-11.**\
Theory report on the 11th FCC-ee workshop, \

**TCDMATH 19-10.**\
Subleading Eikonal, AdS/CFT and Double Stress Tensors, by
Manuela Kulaxizi, Gim Seng Ng, and Andrei Parnachev.
\

**TCDMATH 19-09.**\
Asymptotic Charges and Coherent States in QCD, by Riccardo
Gonzo, Tristan McLoughlin, Diego Medrano, and Anne
Spiering.
\

**TCDMATH 19-08.**\
A non-integrable quench from AdS/dCFT, by Marius de Leeuw,
Charlotte Kristjansen, and Kasper E. Vardinghus.
\

**TCDMATH 19-07.**\
20' Five-Point Function from AdS5×S5 Supergravity,
by Vasco Gonçalves, Raul Pereira, and Xinan Zhou.
\

**TCDMATH 19-06.**\
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**TCDMATH 19-05.**\
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**TCDMATH 19-04.**\
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**TCDMATH 19-03.**\
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**TCDMATH 19-02.**\
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**TCDMATH 19-01.**\
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**TCDMATH 18-21.**\
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**TCDMATH 18-20.**\
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**TCDMATH 18-19.**\
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**TCDMATH 18-18.**\
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**TCDMATH 18-17.**\
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**TCDMATH 18-16.**\
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**TCDMATH 18-15.**\
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**TCDMATH 18-14.**\
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**TCDMATH 18-13.**\
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**TCDMATH 18-12.**\
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**TCDMATH 18-12.**\
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**TCDMATH 18-11.**\
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**TCDMATH 18-10.**\
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**TCDMATH 18-09.**\
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**TCDMATH 18-08.**\
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**TCDMATH 18-07.**\
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**TCDMATH 18-06.**\
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**TCDMATH 18-05.**\
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**TCDMATH 18-04.**\
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**TCDMATH 18-03.**\
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**TCDMATH 18-02.**\
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**TCDMATH 18-01.**\
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**TCDMATH 17-23.**\
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**TCDMATH 17-22.**\
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**TCDMATH 17-21.**\
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**TCDMATH 17-20.**\
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**TCDMATH 17-19.**\
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**TCDMATH 17-18.**\
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**TCDMATH 17-17.**\
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**TCDMATH 17-16.**\
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**TCDMATH 17-15.**\
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**TCDMATH 17-14.**\
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**TCDMATH 17-13.**\
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**TCDMATH 17-12.**\
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**TCDMATH 17-11.**\
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**TCDMATH 17-10.**\
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**TCDMATH 17-09.**\
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**TCDMATH 17-08.**\
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**TCDMATH 17-07.**\
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**TCDMATH 17-06.**\
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**TCDMATH 17-05.**\
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**TCDMATH 17-04.**\
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**TCDMATH 17-03.**\
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**TCDMATH 17-02.**\
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**TCDMATH 17-01.**\
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**TCDMATH 16-17.**\
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**TCDMATH 16-16.**\
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**TCDMATH 16-15.**\
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**TCDMATH 16-14.**\
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**TCDMATH 16-13.**\
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**TCDMATH 16-12.**\
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**TCDMATH 16-11.**\
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**TCDMATH 16-10.**\
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**TCDMATH 16-09.**\
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**TCDMATH 16-08.**\
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**TCDMATH 16-07.**\
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**TCDMATH 16-06.**\
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**TCDMATH 16-05.**\
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**TCDMATH 16-04.**\
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**TCDMATH 16-03.**\
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**TCDMATH 16-02.**\
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**TCDMATH 16-01.**\
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**TCDMATH 15-l4.**\
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**TCDMATH 15-l3.**\
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**TCDMATH 15-l2.**\
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**TCDMATH 15-11.**\
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**TCDMATH 15-10.**\
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**TCDMATH 15-09.**\
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**TCDMATH 15-08.**\
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**TCDMATH 15-07.**\
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**TCDMATH 15-06.**\
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**TCDMATH 15-05.**\
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**TCDMATH 15-04.**\
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**TCDMATH 15-03.**\
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**TCDMATH 15-02.**\
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**TCDMATH 15-01.**\
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**TCDMATH 14-09.**\
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**TCDMATH 14-08.**\
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**TCDMATH 14-07.**\
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**TCDMATH 14-06.**\
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**TCDMATH 14-05.**\
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**TCDMATH 14-04.**\
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**TCDMATH 14-03.**\
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**TCDMATH 14-02.**\
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**TCDMATH 14-01.**\
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**TCDMATH 13-17.**\
Quantum geometry and quiver gauge theories, by
Nikita Nekrasov, Vasily Pestun, and Samson Shatashvili.
\

**TCDMATH 13-16.**\
S-matrix for strings on $\eta$-deformed AdS5 x S5,
by Gleb Arutyunov, Riccardo Borsato, and Sergey Frolov.
\

**TCDMATH 13-15.**\
Compact families of Jordan curves and
convex hulls in three dimensions, by
Colm Ó Dúnlaing.
\

**TCDMATH 13-14.**\
The b-quark mass from non-perturbative Nf=2 Heavy Quark Effective
Theory
at O(1/mh), by
F. Bernardoni, B. Blossier, J. Bulava, M. Della Morte, P. Fritzsch, N.
Garron, A. Gerardin, J. Heitger, G. von Hippel, H. Simma, and R. Sommer
\

**TCDMATH 13-13.**\
Kaon Mixing Beyond the Standard Model,
by
A. T. Lytle, P. A. Boyle, N. Garron, R. J. Hudspith, and C. T.
Sachrajda
(the RBC-UKQCD Collaboration).
\

**TCDMATH 13-12.**\
Static Gauge and Energy Spectrum of Single-mode Strings in
AdS\_5xS^5,
by
Sergey Frolov, Martin Heinze, George Jorjadze, and Jan Plefka.
\

**TCDMATH 13-11.**\
Toward the excited isoscalar meson spectrum from lattice QCD,
by
Jozef J. Dudek, Robert G. Edwards, Peng Guo, and
Christopher E. Thomas.
\

**TCDMATH 13-10.**\
B-physics with $N\_f=2$ Wilson fermions,
by
F.Bernardoni, B.Blossier, J. Bulava, M. Della Morte, P.
Fritzsch, N. Garron, A. Gerardin, J. Heitger, G. von
Hippel, H. Simma, and R. Sommer.
\

**TCDMATH 13-09.**\
Comments on World-Sheet Form Factors in AdS/CFT, by
Thomas Klose and Tristan McLoughlin.
\

**TCDMATH 13-08.**\
The kaon semileptonic form factor with near physical domain
wall quarks, by
Peter A. Boyle, Jonathan M. Flynn, Nicolas Garron, Andreas
Juttner, Chris T. Sachrajda, Karthee Sivalingam, and James M.
Zanotti.
\

**TCDMATH 13-07.**\
Free field representation and form factors of the chiral
Gross-Neveu model, by Stephen Britton and Sergey Frolov.
\

**TCDMATH 13-06.**\
Improvement of N\_f=3 lattice QCD with Wilson fermions and
tree-level improved gauge action, by
John Bulava and Stefan Schaefer.
\

**TCDMATH 13-05.**\
Worked solutions to selected problems from the ACM
International Collegiate Programming Contest (ICPC),
by
Colin Dooley, Stiofáin Fordham, and Colm Ó Dúnlaing.
\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1305.html)
[pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1305.pdf)\

**TCDMATH 13-04.**\
On the B\*' --> B transition, by
Benoît Blossier, John Bulava, Michael Donnellan, and
Antoine Gérardin.
\

**TCDMATH 13-03.**\
Menelaus' Theorem, Weil Reciprocity, and a
generalisation to algebraic curves,
by
Eoin Ó Murchadha.
\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1303.html)
[pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1303.pdf)\

**TCDMATH 13-02.**\
Extended hadron and two-hadron operators of definite
momentum for spectrum calculations in lattice QCD,
by
C. Morningstar, J. Bulava, B. Fahy, J. Foley, Y.C. Jhang,
K.J. Juge, D. Lenkner, and C.H. Wong.
\

**TCDMATH 13-01.**\
Excited spectroscopy of charmed mesons from lattice QCD,
by
Graham Moir, Michael Peardon, Sinead M. Ryan,
Christopher E. Thomas, and Liuming Liu.
\

**TCDMATH 12-13.**\
Weak Matrix Elements of Beyond the Standard Model
$\Delta s=2$ four-quark operators from $n\_f=2+1$ Domain-Wall
fermions,
by Nicolas Garron, Peter A Boyle, Renwick J Hudspith, and Andrew T
Lytle.
\

**TCDMATH 12-12.**\
Emerging understanding of the $\Delta I = 1/2$ Rule from Lattice QCD,
by
P. A. Boyle, N. H. Christ, N. Garron, E. J. Goode, T.
Janowski, C. Lehner, Q. Liu, A. T. Lytle, C. T. Sachrajda,
A. Soni, D. Zhang, for the RBC Collaboration, for the UKQCD
Collaboration.
\

**TCDMATH 12-11.**\
Excited states in Bethe ansatz solvable models and the
dressing of spin and charge,
by
Eoin Quinn and Sergey Frolov.
\

**TCDMATH 12-10.**\
Energy dependence of the $\rho$ resonance in $\pi\pi$
elastic scattering from lattice QCD,
by
Jozef J. Dudek, Robert G. Edwards, and Christopher E.
Thomas.
\

**TCDMATH 12-09.**\
B-physics from HQET in two-flavour lattice QCD,
by
F. Bernardoni, B. Blossier, J. Bulava, M. Della
Morte, P. Fritzsch, N. Garron, A. Gérardin, J. Heitger, G.
von Hippel, H. Simma, and R. Sommer.
\

**TCDMATH 12-08.**\
B-physics
from non-perturbatively renormalized HQET in two-flavour lattice QCD,
by
Fabio Bernardoni, Benoit Blossier, John Bulava,
Michele Della Morte, Patrick Fritzsch,
Nicolas Garron, Antoine Gerardin,
Jochen Heitger, Georg M. von Hippel, and
Hubert Simma.\

**TCDMATH 12-07.**\
Universally reversible JC\*-triples and operator spaces,
by
Leslie J. Bunce and Richard M. Timoney.
\

**TCDMATH 12-06.**\
Neutral kaon mixing beyond the standard model with $n\_f=2+1$ chiral
fermions,
by
P. A. Boyle, N. Garron, and R. J. Hudspith.
\

**TCDMATH 12-05.**\
Exceptional Operators in $N=4$ super Yang-Mills,
by
Gleb Arutyunov, Sergey Frolov, Alessandro Sfondrini
\

**TCDMATH 12-04.**\
Excited and exotic charmonium spectroscopy from lattice QCD, by
Liuming Liu, Graham Moir, Michael Peardon, Sinéad M. Ryan,
Christopher E. Thomas, Pol Vilaseca, Jozef J. Dudek,
Robert G. Edwards, Bálint Joó, and David G. Richards
\
[link to arXiv 1204.5425](http://arxiv.org/abs/1204.5425) \

**TCDMATH 12-03.**\
S and D-wave phase shifts in isospin-2 pi pi scattering from
lattice QCD, by
Jozef J. Dudek, Robert G. Edwards, and Christopher E. Thomas
\

**TCDMATH 12-02.**\
CUDA implementation of Wagener's 2D convex hull PRAM algorithm,
by
Colm Ó Dúnlaing
\
[link to arXiv 1203.5004](http://arxiv.org/abs/1203.5004) \

**TCDMATH 12-01.**\
Scaling dimensions from the mirror TBA,
by
Sergey Frolov
\
[link to arXiv 1201.2317](http://arxiv.org/abs/1201.2317) \

**TCDMATH 11-14.**\
Hubbard-Shastry lattice models, by
Sergey Frolov and Eoin Quinn
\

**TCDMATH 11-13.**\
A note on the local hull of holomorphy of a real submanifold
*M*⊆ *CN+1* with a *CR* singularity,
by
Valentin Burcea
\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1113.html)
[pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1113.pdf)\

**TCDMATH 11-12.**\
Bound States in the Mirror TBA, by Gleb
Arutyunov,
Sergey Frolov, Stijn J. van Tongeren
\
[link to arXiv 1111.0564](http://arxiv.org/abs/1111.0564) \

**TCDMATH 11-11.**\
Einstein's equivalence principle and the gravitational red shift, by Petros S. Florides \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1111.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1111.pdf)\

**TCDMATH 11-10.**\
Quantisation revisited: a mathematical and computational model, by Declan Murphy \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1110.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1110.pdf)\

**TCDMATH 11-09.**\
Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks, by Waseem Kamleh and Mike Peardon \
[link to arXiv 1106.5625](http://arxiv.org/abs/1106.5625)\

**TCDMATH 11-08.**\
An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory, by Paula Pérez-Rubio, Stefan Sint, and Shinji Takeda \
[link to arXiv 1105.0110](http://arxiv.org/abs/1105.0110)\

**TCDMATH 11-07.**\
A normal form for a real 2-codimensional submanifold in **C***N*+1 near a CR singularity, by Valentin Burcea \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1107.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1107.pdf)\

**TCDMATH 11-06.**\
Haldane limits via Lagrangian embeddings, by Dmitri Bykov \
[link to arXiv 1104.1419 [hep-th]](http://arxiv.org/abs/1104.1419)\

**TCDMATH 11-05.**\
Darboux coordinates, Yang-Yang functional, and gauge theory, by Nikita Nekrasov, Alexey Rosly, and Samson Shatashvili \
[link to arXiv 1103.3919](http://arxiv.org/abs/1103.3919)\

**TCDMATH 11-04.**\
Comments on the mirror TBA, by Gleb Arutyunov and Sergey Frolov \
[link to arXiv 1103.2708](http://arxiv.org/abs/1103.2708)\

**TCDMATH 11-03**\
Fermionic screening operators in the sine-Gordon model, by M. Jimbo, T. Miwa, and F. Smirnov \
[link to arXiv 1103.1534](http://arxiv.org/abs/1103.1534)\

**TCDMATH 11-02.**\
Isoscalar meson spectroscopy from lattice QCD, by Jozef J. Dudek, Robert G. Edwards, Balint Joo, Michael J. Peardon, David G. Richards, and Christopher E. Thomas \
[link to arXiv 1102.4299](http://arxiv.org/abs/1102.4299)\

**TCDMATH 11-01.**\
Title: Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces, by Sergey A. Cherkis, Clare O'Hara, and Christian Saemann \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1101.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1101.pdf)\

**TCDMATH 10-09.**\
The phase-shift of isospin-2 pi-pi scattering from lattice QCD, by Jozef J. Dudek, Robert G. Edwards, Michael J. Peardon, David G. Richards, and Christopher E. Thomas \
[link to arXiv 1011.6352](http://arxiv.org/abs/1011.6352)\

**TCDMATH 10-08.**\
Singular Monopoles from Cheshire Bows, by Chris D. A. Blair and Sergey A. Cherkis \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1008.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1008.pdf)\

**TCDMATH 10-07.**\
The chirally rotated Schroedinger functional with Wilson fermions and automatic O(a) improvement, by Stefan Sint \
[link to arXiv 1008.4857](http://arxiv.org/abs/1008.4857)\

**TCDMATH 10-06.**\
One monopole with $k$ singularities, by Chris D. A. Blair and Sergey A. Cherkis \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1006.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1006.pdf)\

**TCDMATH 10-05.**\
Konishi operator at intermediate coupling, by Sergey Frolov \
[link to arXiv 1006.5032](http://arxiv.org/abs/1006.5032)\

**TCDMATH 10-04.**\
Instantons on Gravitons, by Sergey A. Cherkis \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm1004.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm1004.pdf)\

**TCDMATH 10-03.**\
Toward the excited meson spectrum of dynamical QCD, by Jozef J. Dudek, Robert G. Edwards, Michael J. Peardon, David G. Richards, and Christopher E. Thomas \
[link to arXiv 1004.4930 [hep-ph]](http://arxiv.org/abs/1004.4930)\

**TCDMATH 10-02.**\
The worldsheet low-energy limit of the AdS\_4 x CP^3 superstring, by Dmitri Bykov\
[link to arXiv 1003.2199 [hep-th]](http://arxiv.org/abs/1003.2199)\

**TCDMATH 10-01.**\
Title: Five-loop Konishi from the Mirror TBA by Gleb Arutyunov, Sergey Frolov, and Ryo Suzuki \
[link to arXiv 1002.1711](http://arxiv.org/abs/1002.1711)\

**TCDMATH 09-24.**\
Exploring the mirror TBA, by Gleb Arutyunov, Sergey Frolov, and Ryo Suzuki \
[link to arXiv 0911.2224](http://arxiv.org/abs/0911.2224)\

**TCDMATH 09-23.**\
Physical charges in QED and QCD. by Anton Ilderton, Martin Lavelle, and David McMullan \
[link to arXiv 0910.5395](http://www.arxiv.org/abs/0910.5395)\

**TCDMATH 09-22.**\
An anisotropic preconditioning for the Wilson fermion matrix on the lattice, by Balint Joo, Robert G. Edwards, and Michael J. Peardon \
[link to arXiv 0910.0992 [hep-th]](http://arxiv.org/abs/0910.0992)\

**TCDMATH 09-21.**\
New regular non compact Calabi-Yau metrics in D=6, by Osvaldo P. Santillan \
[link to arXiv 0909.1718 [hep-th]](http://arxiv.org/abs/0909.1718)\

**TCDMATH 09-20.**\
Laser intensity effects in noncommutative QED, by Thomas Heinzl, Anton Ilderton, and Mattias Marklund \
[link to arXiv 0909.0656 [hep-ph]](http://arxiv.org/abs/0909.0656)\

**TCDMATH 09-19.**\
Quantization of Integrable Systems and Four Dimensional Gauge Theories, by Nikita A. Nekrasov and Samson L. Shatashvili \
[link to arXiv 0908.4052](http://arxiv.org/abs/0908.4052)\

**TCDMATH 09-18.**\
Stability, creation and annihilation of charges in gauge theories, Anton Ilderton, Martin Lavelle, and David McMullan \
[link to arXiv 0907.4071 [hep-th]](http://arxiv.org/abs/0907.4071)\

**TCDMATH 09-17.**\
Simplified TBA equations of the AdS\_5 x S^5 mirror model, by Gleb Arutyunov and Sergey Frolov \
[link to arXiv 0907.2647 [hep-th]](http://www.arxiv.org/abs/0907.2647)\

**TCDMATH 09-16.**\
Bound State Transfer Matrix for AdS5 x S5 Superstring, by Gleb Arutyunov, Marius de Leeuw, Ryo Suzuki, and Alessandro Torrielli \
[link to arXiv 0906.4783 [hep-th]](http://www.arxiv.org/abs/0906.4783)\

**TCDMATH 09-15.**\
Marginal Deformations and 3-Algebra Structures, by Nikolas Akerblom, Christian Saemann, and Martin Wolf \
[link to arXiv 0906.1705](http://www.arxiv.org/abs/0906.1705)\

**TCDMATH 09-14.**\
Temperature quantization from the TBA equations, by Sergey Frolov and Ryo Suzuki \
[link to arXiv 0906.0499](http://www.arxiv.org/abs/0906.0499)\

**TCDMATH 09-13.**\
A novel quark-field creation operator construction for hadronic physics in lattice QCD, by Michael Peardon, John Bulava, Justin Foley, Colin Morningstar, Jozef Dudek, Robert G. Edwards, Balint Joo, Huey-Wen Lin, David G. Richards, and Keisuke Jimmy Juge \
[link to arXiv 0905.2160 [hep-lat]](http://arxiv.org/abs/0905.2160)\

**TCDMATH 09-12.**\
The Dressing Factor and Crossing Equations, by Gleb Arutyunov and Sergey Frolov \
[link to arXiv 0904.4575](http://arxiv.org/abs/0904.4575)\

**TCDMATH 09-11.**\
Off-shell symmetry algebra of the AdS\_4 x CP^3 superstring, by Dmitri Bykov\
[link to arXiv 0904.0208](http://www.arxiv.org/abs/0904.0208)\

**TCDMATH 09-10.**\
Signatures of high-intensity Compton scattering, by Chris Harvey, Thomas Heinzl, and Anton Ilderton \
[link to arXiv 0903.4151 [hep-th]](http://www.arxiv.org/abs/0903.4151)\

**TCDMATH 09-09.**\
Thermodynamic Bethe Ansatz for the AdS\_5 x S^5 Mirror Model, by Gleb Arutyunov and Sergey Frolov \
[link to arXiv 0903.0141 [hep-th]](http://www.arxiv.org/abs/0903.0141)\

**TCDMATH 09-08.**\
Instantons on the Taub-NUT Space, by Sergey A. Cherkis \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0908.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0908.pdf)\

**TCDMATH 09-07.**\
Giant Magnons on CP^3 by Dressing Method, by Ryo Suzuki \
[link to arXiv 0902.3368](http://www.arxiv.org/abs/0902.3368)\

**TCDMATH 09-06.**\
Foundations of the *AdS5 x S5* Superstring, Part I, by Gleb Arutyunov and Sergey Frolov \
[link to arXiv 0901.4937](http://arxiv.org/abs/0901.4937)\

**TCDMATH 09-05.**\
Quantum integrability and supersymmetric vacua, by Nikita A. Nekrasov and Samson L. Shatashvili \
[link to arXiv 0901.4748](http://arxiv.org/abs/0901.4748)\

**TCDMATH 09-04.**\
Supersymmetric vacua and Bethe ansats, by Nikita A. Nekrasov and Samson L. Shatashvili \
[link to arXiv 0901.4744](http://arxiv.org/abs/0901.4744)\

**TCDMATH 09-03.**\
Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes, by Calin I. Lazaroiu, Daniel McNamee, Christian Saemann, and Aleksandar Zejak \
[link to arXiv 0901.3905](http://www.arxiv.org/abs/0901.3905)\

**TCDMATH 09-02.**\
New Spin(7) holonomy metrics admitting $G\_2$ holonomy reductions and M-theory/IIA dualities, by Sema Salur and Osvaldo Santillan. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0902.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0902.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0902.pdf)\

**TCDMATH 09-01.**\
String hypothesis for the AdS\_5 x S^5 mirror by Gleb Arutyunov and Sergey Frolov \
[link to arXiv 0901.1417 [hep-th]](http://www.arxiv.org/abs/0901.1417)\

**TCDMATH 08-20.**\
Gröbner bases for operads, by Vladimir Dotsenko and Anton Khoroshkin \
[link to arXiv 0812.4069](http://www.arxiv.org/abs/0812.4069)\

**TCDMATH 08-19.**\
On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification, by Sergey Cherkis, Vladimir Dotsenko, and Christian Saemann \
[link to arXiv 0812.3127](http://www.arxiv.org/abs/0812.3127)\

**TCDMATH 08-18.**\
Finding community structures in networks by playing pass-the-parcel, by Conor Houghton \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0818.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0818.pdf)\

**TCDMATH 08-17.**\
Generalized Berezin-Toeplitz quantization of Kaehler supermanifolds, by Calin Lazaroiu, Daniel McNamee and Christian Saemann \
[link to arXiv 0811.4743 [hep-th]](http://www.arxiv.org/abs/0811.4743)\

**TCDMATH 08-16.**\
A parameter uniform finite difference method for multiscale singularly perturbed linear dynamical systems, by S. Valarmathi and John J.H. Miller \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0816.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0816.pdf)\

**TCDMATH 08-15.**\
Unparticle actions and gauge invariance, by Anton Ilderton \
[link to arXiv 0810.3916 [hep-th]](http://www.arxiv.org/abs/0810.3916)\

**TCDMATH 08-14.**\
Fermionic correlation functions from the staggered Schrödinger functional, by Paula Pérez Rubio and Stefan Sint \
[link to arXiv 0810.3866 [hep-lat]](http://www.arxiv.org/abs/0810.3866)\

**TCDMATH 08-13**\
First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass, by Huey-Wen Lin, Saul D. Cohen, Jozef Dudek, Robert G. Edwards, Balint Joo, David G. Richards, John Bulava, Justin Foley, Colin Morningstar, Eric Engelson, Stephen Wallace, K. Jimmy Juge, Nilmani Mathur, Michael J. Peardon and Sinead M. Ryan \
[link to arXiv 0810.3588 [hep-lat]](http://www.arxiv.org/abs/0810.3588)\

**TCDMATH 08-12.**\
Semiclassical Quantization of Spinning Strings in AdS\_4 x CP^3, by Authors: Luis F. Alday, Gleb Arutyunov, and Dmitri Bykov. \
[link to xxx.lanl.gov/abs/0807.4400](http://xxx.lanl.gov/abs/0807.4400)

**TCDMATH 08-11.**\
A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case, by P. Maragatha Meenakshi, S. Valarmathi, and J.J.H. Miller. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0811.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0811.pdf)\

**TCDMATH 08-10.**\
Multiple M2-branes and Generalized 3-Lie algebras, by Sergey Cherkis and Christian Saemann. \
[link to arXiv 0807.0808 [hep-th]](http://www.arxiv.org/abs/0807.0808)\

**TCDMATH 08-09.**\
Finite-Size Effects for Multi-Magnon States, by Yasuyuki Hatsuda and Ryo Suzuki. \
[link to arXiv 0807.0643 [hep-th]](http://www.arxiv.org/abs/0807.0643)\

**TCDMATH 08-08.**\
Superstrings on AdS\_4 x CP^3 as a Coset Sigma-model, by Gleb Arutyunov and Sergey Frolov. \
[link to arXiv 0806.4940 [hep-th]](http://www.arxiv.org/abs/0806.4940)\

**TCDMATH 08-07.**\
Studying spike trains using a van Rossum metric with a synapse-like filter, by Conor Houghton. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0807.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0807.pdf)\

**TCDMATH 08-06.**\
Giant magnons in TsT-transformed *AdS5 x S5*, by Dmitri V. Bykov and Sergey Frolov \
[link to arXiv 0805.1070](http://www.arxiv.org/abs/0805.1070)\

**TCDMATH 08-05.**\
Moduli Spaces of Instantons on the Taub-NUT Space, by Sergey A. Cherkis \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0805.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0805.pdf)\

**TCDMATH 08-04.**\
Title: Generalized Berezin quantization, Bergman metrics and fuzzy Laplacians, by Calin Iuliu-Lazaroiu, Daniel McNamee and Christian Saemann \
[link to arXiv 0804.4555](http://www.arxiv.org/abs/0804.4555)\

**TCDMATH 08-03.**\
The S-matrix of String Bound States, by Gleb Arutyunov and Sergey Frolov. \
[link to arXiv 0803.4323 [hep-th]](http://arxiv.org/abs/0803.4323)\

**TCDMATH 08-02.**\
Negative-Tension Branes and Tensionless 1/2 Brane in Boundary Conformal Field Theory, by Akira Ishida, Chanju Kim, Yoonbai Kim, and O-Kab Kwon. \
[link to arXiv 0801.3455](http://www.arxiv.org/abs/0801.3455)\

**TCDMATH 08-01.**\
Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory, by O-Kab Kwon \
[link to arXiv 0801.0573 [hep-th]](http://www.arxiv.org/abs/0801.0573)\

**TCDMATH 07-26.**\
From planar graph layout to flat embeddings of 2-complexes, by Colm Ó Dúnlaing. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0726.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0726.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0726.pdf)\

**TCDMATH 07-25.**\
A normal-form theorem for monoids and groups with the single relation xy<->yx by Michael Batty, Colm Ó Dúnlaing, and Claas Röver. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0725.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0725.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0725.pdf)\

**TCDMATH 07-24.**\
A simple bound for sequential access in splay trees, by Colm Ó Dúnlaing. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0724.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0724.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0724.pdf)\

**TCDMATH 07-23.**\
Singular Monopoles via the Nahm Transform, by Sergey Cherkis and Brian Durcan. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0723.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0723.pdf)\

**TCDMATH 07-22.**\
The 't Hooft-Polyakov Monopole in the Presence of an 't Hooft Operator, by Sergey Cherkis and Brian Durcan. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0722.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0722.pdf)\

**TCDMATH 07-21.**\
Two-dimensional Gauge Theories and Quantum Integrable Systems by Anton A. Gerasimov and Samson L. Shatashvili. \
[link to arXiv 0711.1472 [hep-th]](http://www.arxiv.org/abs/0711.1472)\

**TCDMATH 07-20.**\
Test of the Schrödinger functional with chiral fermions in the Gross-Neveu model, by Björn Leder. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0720.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0720.pdf)\

**TCDMATH 07-19.**\
Charmonium properties in the quark-gluon plasma, by M.B. Oktay, M.J. Peardon, J.I. Skullerud, G. Aarts, and C.R. Allton \
[link to arXiv 0710.2795](http://www.arxiv.org/abs/0710.2795)\

**TCDMATH 07-18.**\
Hadron Spectrum in a Two-Colour Baryon-Rich Medium, by Simon Hands, Peter Sitch, Jon-Ivar Skullerud \
[link to arXiv 0710.1966](http://www.arxiv.org/abs/0710.1966)\

**TCDMATH 07-17.**\
Charmonium at high temperature in two-flavor QCD, by Gert Aarts, Chris Allton, Mehmet Bu?rahan Oktay, Mike Peardon, and Jon-Ivar Skullerud \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0717.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0717.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0717.pdf)\

**TCDMATH 07-16.**\
Obstructions to embeddability into hyperquadrics and explicit examples by Dmitri Zaitsev \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0716.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0716.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0716.pdf)\

**TCDMATH 07-15.**\
On String S-matrix, Bound States and TBA, by Gleb Arutyunov and Sergey Frolov \
[link to www.arxiv.org/abs/0710.1568 [hep-th]](http://www.arxiv.org/abs/0710.1568)

**TCDMATH 07-14.**\
Enhanced neural discrimination of sensory stimuli using an adaptive spike distance, by Conor Houghton and Kamal Sen. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0714.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0714.pdf)\

**TCDMATH 07-13.**\
The SF running coupling with four flavours of staggered quarks, by Paula Pérez Rubio and Stefan Sint \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0713.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0713.pdf)\

**TCDMATH 07-12.**\
Fluctuations around the tachyon vacuum in open string field theory, by O-Kab Kwon, Bum-Hoon Lee, Changyong Park, and Sang-Jin Sin \
[link to arxiv.org/abs/0709.2888](http://arxiv.org/abs/0709.2888)\

**TCDMATH 07-11.**\
Parameter--Uniform Finite Difference Method for a Singularly Perturbed Linear Dynamical System, by P.Maragatha Meenakshi, T.Bhuvaneswari, S.Valarmathi, and J.J.H.Miller \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0711.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0711.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0711.pdf)\
**TCDMATH 07-10.**\
Remarks on Jurdzi?ski and Lory?' proof that palindromes are not a Church-Rosser language, by Colm Ó Dúnlaing and Natalie Schluter \
[link to arXiv 0710.4499](http://www.arxiv.org/abs/0710.4499)\

**TCDMATH 07-09.**\
The flavour projection of staggered fermions and the quarter-root trick, by Steven Watterson \
[link to arxiv.org/abs/0706.2090 [hep-lat]>](http://arxiv.org/abs/0706.2090)\

**TCDMATH 07-08.**\
Instantons and Supersymmetry, by Massimo Bianchi, Stefano Kovacs, and Giancarlo Rossi. \
[link to hep-th/0703142>](http://arxiv.org/abs/hep-th?papernum=0703142)\

**TCDMATH 07-07.**\
Givental integral representation for classical groups, by A. Gerasimov, D. Lebedev, and S. Oblezin. \

**TCDMATH 07-06.**\
Baxter Q-operator and Givental integral representation for $C\_n$ and $D\_n$, by A. Gerasimov, D. Lebedev, and S. Oblezin. \
\

**TCDMATH 07-05.**\
Higgs Bundles, Gauge Theories and Quantum Groups by Anton A. Gerasimov and Samson L. Shatashvili. \
[link to hep-th/0609024](http://arxiv.org/abs/hep-th?papernum=0609024)\

**TCDMATH 07-04.**\
Lectures on topological quantum field theories and some modern problems of mathematics by Samson L. Shatashvili. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0704.html) [Part 1 (pdf)](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0704a.pdf) [Part 2 (pdf)](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0704b.pdf)\

**TCDMATH 07-03.**\
Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD, by P. Dimopoulos, J. Heitger, F. Palombi, C. Pena, S. Sint, and A. Vladikas \
[link to hep-lat/0702017](http://arxiv.org/abs/hep-lat?papernum=0702017)\

**TCDMATH 07-02.**\
Lattice QCD with a chiral twist, by Stefan Sint \
[link to hep-lat/0702008](http://arxiv.org/abs/hep-lat?papernum=0702008)\

**TCDMATH 07-01.**\
Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory, by Sudarshan Ananth, Stefano Kovacs, and Hidehiko Shimada \
[link to hep-th/0702020](http://arxiv.org/abs/hep-th?papernum=0702020)\

**TCDMATH 06-18.**\
The Zamolodchikov-Faddeev Algebra for AdS\_5 x S^5 Superstring, by Gleb Arutyunov, Sergey Frolov, and Marija Zamaklar. \
[link to hep-th/0612229](http://arxiv.org/abs/hep-th?papernum=0612229)\

**TCDMATH 06-17.**\
Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT, by S. Frolov, A. Tirziu, and A.A. Tseytlin. \
[link to hep-th/06011269](http://arxiv.org/abs/hep-th?papernum=0611269)\

**TCDMATH 06-16.**\
Nodally 3-connected planar graphs and convex combination mappings, by Colm Ó Dúnlaing. \
[link to arxiv.org/abs/0708.0964](http://arxiv.org/abs/0708.0964)\

**TCDMATH 06-15.**\
Quark-gluon vertex in general kinematics, by Ay?e K?z?lersü, Derek B. Leinweber, Jon-Ivar Skullerud, and Anthony G. Williams \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0615.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0615.pdf)\

**TCDMATH 06-14.**\
A new multineuron spike train metric, by Conor Houghton and Kamal Sen \
[Link to *Neural computation,* June 2008.](http://www.mitpressjournals.org/doi/abs/10.1162/neco.2007.10-06-350)\

**TCDMATH 06-13**\
The Off-shell Symmetry Algebra of the Light-cone AdS\_5 x S^5 Superstring, by Gleb Arutyunov, Sergey Frolov, Jan Plefka, and Marija Zamaklar \
[link to hep-th/0609157](http://arxiv.org/abs/hep-th?papernum=0609157)\

**TCDMATH 06-12**\
Proof of all-order finiteness for planar beta-deformed Yang-Mills, by Sudarshan Ananth, Stefano Kovacs, and Hidehiko Shimada \
[link to hep-th/0609149](http://arxiv.org/abs/hep-th?papernum=0609149)\

**TCDMATH 06-11**\
Higgs Bundles, Gauge Theories and Quantum Groups, by Anton A. Gerasimov and Samson L. Shatashvili\
[link to hep-th/0609024](http://arxiv.org/abs/hep-th?papernum=0609024)\

**TCDMATH 06-10**\
On the non-commutative geometry of topological D-branes, by C. I. Lazaroiu \
[link to hep-th/0507222](http://arxiv.org/abs/hep-th?papernum=0507222)\

**TCDMATH 06-09**\
D-brane effective action and tachyon condensation in topological minimal models, by M. Herbst, C. I. Lazaroiu, and W. Lerche \
[link to hep-th/0405138](http://arxiv.org/abs/hep-th?papernum=0405138)\

**TCDMATH 06-08**\
Localization and traces in open-closed topological Landau-Ginzburg models, by M. Herbst and C. I. Lazaroiu \
[link to hep-th/0404184](http://arxiv.org/abs/hep-th?papernum=0404184)\

**TCDMATH 06-07**\
Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings, M. Herbst, C. I. lazaroiu, and W. Lerche \
[link to hep-th/0402110](http://arxiv.org/abs/hep-th?papernum=0402110)\

**TCDMATH 06-06**\
C. I. Lazaroiu, On the boundary coupling of topological Landau-Ginzburg models \
[link to hep-th/0312286](http://arxiv.org/abs/hep-th?papernum=0312286)\

**TCDMATH 06-05.**\
Dynamical QCD simulations on anisotropic lattices, by Richie Morrin, Alan Ó Cais, Mike Peardon, Sinéad M. Ryan, and Jon-Ivar Skullerud \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0605.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0605.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0605.pdf)\

**TCDMATH 06-04.**\
Deconfinement in dense 2-colour QCD, by Simon Hands, Seyong Kim, Jon-Ivar Skullerud \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0604.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0604.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0604.pdf)\

**TCDMATH 06-03.**\
A New Hypothesis for Sleep: Tuning for Criticality, by Barak A. Pearlmutter and Conor J. Houghton \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0603.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0603.pdf)\

**TCDMATH 06-02.**\
The effect of pion mass on Skyrme configurations, by Conor Houghton and Shane Magee \
[link to hep-th/0602227](http://arxiv.org/abs/hep-th?papernum=0602227)\

**TCDMATH 06-01.**\
Noncommutative moduli spaces of topological D-branes, by Calin Lazaroiu \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0601.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0601.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0601.pdf)\

**TCDMATH 05-10.**\
Nodally 3-connected planar graphs and barycentric embeddings, by Colm Ó Dúnlaing. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0510.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0510.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0510.pdf)\

**TCDMATH 05-09.**\
Distributing the chiral and flavour components of Dirac-Kahler fermions across multiple lattices, by Steven Watterson and James Sexton. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0509.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0509.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0509.pdf)\

**TCDMATH 05-08.**\
A zero-mode quantization of the Skyrmion, by Conor Houghton and Shane Magee \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0508.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0508.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0508.pdf)\

**TCDMATH 05-07.**\
Towards Integrability of Topological Strings by A. Gerasimov \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0507.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0507.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0507.pdf)\

**TCDMATH 05-06.**\
On a Gauss-Givental Representation of Quantum Toda Chain Wave Function, by A. Gerasimov, S. Kharchev, D. Lebedev and S. Oblezin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0506.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0506.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0506.pdf)\

**TCDMATH 05-05.**\
Practical all-to-all propagators for lattice QCD, by Justin Foley, K. Jimmy Juge, Alan Ó Cais, Mike Peardon, Sinéad M. Ryan, and Jon-Ivar Skullerud \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0505.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0505.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0505.pdf)\

**TCDMATH 05-04.**\
Doubly Periodic Instanton Zero Modes, by C. Ford and J.M. Pawlowski \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0504.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0504.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0504.pdf)\

**TCDMATH 05-03.**\
Partial Hiding in Public-Key Cryptography, by Eabhnat Ni Fhloinn and Michael Purser. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0503.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0503.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0503.pdf)\

**TCDMATH 05-02.**\
Geometry and Physics of Instantons, by Samson L. Shatashvili. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0502.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0502.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0502.pdf)\

**TCDMATH 05-01.**\
On a class of representations of quantum groups, by A. Gerasimov, S. Kharchev, D. Lebedev, and S. Oblezin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0501.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0501.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0501.pdf)\

**TCDMATH 04-23.**\
Factorization Conjecture and the Open/Closed String Correspondence by Marcus Baumgartl, Ivo Sachs, and Samson L. Shatashvili \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0423.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0423.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0423.pdf)\

**TCDMATH 04-22.**\
Gravitational Instantons of Type *Dk*, by Sergey A. Cherkis and Nigel J. Hitchin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0422.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0422.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0422.pdf)\

**TCDMATH 04-21.**\
Optimal Voronoi diagram construction with *n* convex sites in three dimensions, by Paul Harrington, Colm Ó Dúnlaing, and Chee K. Yap. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0421.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0421.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0421.pdf)\

**TCDMATH 04-20.**\
Semiclassical Shor's Algorithm, by Paolo Giorda, Alfredo Iorio, Samik Sen, and Siddhartha Sen. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0420.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0420.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0420.pdf)\

**TCDMATH 04-19.**\
The appearance of the resolved singular hypersurface {x\_0}{x\_1}-x\_2}^n} =0 in the classical phase space of the Lie group SU(n), by Samir K. Paul and Siddhartha Sen. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0419.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0419.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0419.pdf)\

**TCDMATH 04-18.**\
New results on cut-off effects in spectroscopy with the fixed point action, by Peter Hasenfratz, Keisuke Jimmy Juge, and Ferenc Niedermayer. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0418.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0418.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0418.pdf)\
TCDMATH 04--18

**TCDMATH 04-17.**\
A path-integral representation of the free one-flavour staggered-fermion determinant by Francesca Maresca and Mike Peardon. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0417.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0417.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0417.pdf)\

**TCDMATH 04-16.**\
Pure Spinors are Higher-Dimensional Twistors by Nathan Berkovits and Sergey A. Cherkis \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0416.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0416.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0416.pdf)\

**TCDMATH 04-15.**\
On a class of representations of the Yangian and moduli space of monopoles by A. Gerasimov, S. Kharchev, D. Lebedev and S. Oblezin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0415.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0415.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0415.pdf)\

**TCDMATH 04-14.**\
Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds, by Anton A. Gerasimov and Samson L. Shatashvili. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0414.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0414.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0414.pdf)\

**TCDMATH 04-13.**\
Lie group structures on groups of diffeomorphisms and applications to CR manifolds, by M.S. Baouendi, L.P. Rothschild, J. Winkelmann, and D. Zaitsev. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0413.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0413.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0413.pdf)\

**TCDMATH 04-12.**\
A Reynolds and Prandtl uniform numerical method for Prandtl's boundary layer problem for flow past a wedge with heat transfer, by J.S. Butler, J.J.H. Miller, and G.I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0412.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0412.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0412.pdf)\

**TCDMATH 04-11.**\
A Reynolds uniform numerical method for Prandtl's boundary layer problem for flow past a three dimensional yawed wedge, by J.S. Butler, J.J.H. Miller, and G.I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0411.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0411.ps.gz) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0411.pdf)\

**TCDMATH 04-10.**\
Analytic Smearing of SU(3) Link Variables in Lattice QCD, by Colin Morningstar and Mike Peardon \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0410.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0410.pdf)\

**TCDMATH 04-09.**\
Non perturbative study of QCD on a 2+2 anisotropic lattice, by Giuseppe Burgio, Alessandra Feo, Mike Peardon, and Sinead M. Ryan \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0409.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0409.pdf)\

**TCDMATH 04-08.**\
Glueball Matrix Elements on Anisotropic Lattices, by Y. Chen, S.-J. Dong, T. Draper, I. Horvath, F.-X. Lee, N. Mathur, C. Morningstar, M. Peardon, S. Tamhankar, B.L. Young, and J.-B. Zhang \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0408.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0408.pdf)\

**TCDMATH 04-07.**\
Excitations of the torelon, by K.J. Juge, J. Kuti, F. Maresca, C. Morningstar, and M. Peardon \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0407.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0407.pdf)\

**TCDMATH 04-06.**\
Chiral Dirac fermions on the lattice using Geometric Discretisation, by Vivien de Beauce, Samik Sen, and James C. Sexton \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0406.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0406.pdf)\

**TCDMATH 04-05.**\
Heavy hadrons on an anisotropic lattice, by Justin Foley, Alan O Cais, Mike Peardon, and Sinead M. Ryan \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0405.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0405.pdf)\

**TCDMATH 04-04.**\
The 2+2 anisotropic Wilson gluon action with applications, by Giuseppe Burgio, Alessandra Feo, Mike Peardon, and Sinead M. Ryan \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0404.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0404.pdf)\

**TCDMATH 04-03.**\
Gauge Theories on a 2+2 Anisotropic Lattice Giuseppe Burgio Alessandra Feo Mike Peardon Sinead M. Ryan \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0403.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0403.pdf)\

**TCDMATH 04-02.**\
A New Criterion and Method for Amino Acid Classification, by Carolin Kosiol, Nick Goldman, and Nigel H. Buttimore. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0402.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0402.pdf)

**TCDMATH 04-01.**\
Grid Approximation of Singularly Perturbed Elliptic Convection-Diffusion Equations in Unbounded Domains, by Grigory I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0401.html) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0401.pdf)\

**TCDMATH 03-09.**\
Local differentiability and monotonicity properties of Voronoi diagrams for disjoint convex sites in three dimensions, by Colm Ó Dúnlaing. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0309.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0309.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0309.pdf)\

**TCDMATH 03-08.**\
Improved $\leps$-uniform Accurate Schemes for Singularly Perturbed Elliptic Convection-Diffusion 3D Problems. The Richardson Extrapolation Technique by Grigory I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0308.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0308.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0308.pdf)\

**TCDMATH 03-07.**\
Improved $\leps$-uniform Accurate Schemes for Singularly Perturbed Parabolic Convection-Diffusion Problems. Defect-Correction Technique by Pieter W. Hemker, Grigory I. Shishkin, and Lidia P. Shishkina. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0307.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0307.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0307.pdf)\

**TCDMATH 03-06.**\
A Reynolds--uniform numerical method for Prandtl's boundary layer problem for flow past a plate with mass transfer, by J.S. Butler, J.J.H Miller and G.I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0306.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0306.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0306.pdf)\

**TCDMATH 03-05.**\
A Reynolds--uniform numerical method for Prandtl's boundary layer problem for flow past a wedge, by J.S. Butler, J.J.H Miller and G.I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0305.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0305.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0305.pdf)\

**TCDMATH 03-04.**\
Pulsation and Precession of the Resonant Swinging Spring, by Peter Lynch and Conor Houghton \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0304.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0304.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0304.pdf)\
**TCDMATH 03-03.**\
Numerical Techniques for Flow Problems with Singularities, by Paul A. Farrell, Alan F. Hegarty, John J.H. Miller, Eugene O'Riordan, and Grigorii I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0303.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0303.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0303.pdf)\

**TCDMATH 03-02.**\
Domain Decomposition Method for a Singularly Perturbed Quasilinear Parabolic Convection-Diffusion Equation, by P.W. Hemker, G.I. Shishkin, and L.P. Shishkina. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0302.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0302.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0302.pdf)\

**TCDMATH 03-01.**\
On Conditioning of a Schwarz Method for Singularly Perturbed Convection-Diffusion Equations in the Case of Disturbances in the Data of the Boundary Value Problem, by G.I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0301.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0301.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0301.pdf)\

**TCDMATH 02-07.**\
Inorder traversal of splay trees, by Colm Ó Dúnlaing \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0207.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0207.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0207.pdf)\

**TCDMATH 02-06.**\
Recent fileystem optimisations in FreeBSD, by Ian Dowse and David Malone \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0206.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0206.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0206.pdf)\

**TCDMATH 02-05.**\
Grid Approximation of Multiscale Problem Arising in Singularly Perturbed Parabolic Reaction-Diffusion Equations in an Unbounded Domain, by J.J.H. Miller, R.E. O'Malley, and G.I. Shishkin \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0205.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0205.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0205.pdf)\

**TCDMATH 02-04.**\
High-Order Accurate Decomposition Methods Based on Richardson's Extrapolation for a Singularly Perturbed Elliptic Reaction-Diffusion Equation on a Strip, by P.W. Hemker, G.I. Shishkin, and L.P. Shishkina \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0204.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0204.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0204.pdf)\

**TCDMATH 02-03.**\
Variations on a theme of Kaplansky, by Robin Harte \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0203.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0203.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0203.pdf)\

**TCDMATH 02-02.**\
Limitations of Adaptive Mesh Refinement Methods for a Singularly Perturbed Parabolic Equation in a Composed Domain with a Concentrated Source on the Moving Interface Boundary, by G.I. Shishkin. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0202.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0202.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0202.pdf)\

**TCDMATH 02-01.**\
Grid Approximation of a Singularly Perturbed Boundary Value Problem Modelling Heat Transfer in the Case of Flow over a Flat Plate with Suction of the Boundary Layer, by J.J.H. Miller, G.I. Shishkin, L.P. Shishkina, and B. Koren. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0201.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0201.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0201.pdf)\

**TCDMATH 01-17.**\
Density of partition function zeroes and phase transition strength, by W. Janke and R. Kenna\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0117.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0117.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0117.pdf)\

**TCDMATH 01-16.**\
Approximation of Solutions and Derivatives for Singularly Perturbed Elliptic Convection-Diffusion Equations, by Grigorii I. Shishkin\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0116.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0116.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0116.pdf)\

**TCDMATH 01-15.**\
Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions, by W. Janke and R. Kenna\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0115.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0115.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0115.pdf)\

**TCDMATH 01-14.**\
Phase transition strengths from the density of partition function zeroes, by W. Janke and R. Kenna\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0114.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0114.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0114.pdf)\

**TCDMATH 01-13.**\
On skew exactness perturbation, by Robin Harte and David Larson\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0113.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0113.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0113.pdf)\

**TCDMATH 01-12.**\
An Arens-Royden Laugh In, by Robin Harte\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0112.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0112.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0112.pdf)\

**TCDMATH 01-11.**\
Solutions to dilation equations, by David Malone\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0111.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0111.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0111.pdf)\

**TCDMATH 01-10.**\
Compact semigroups of positive matrices, by T.T. West\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0110.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0110.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0110.pdf)\

**TCDMATH 01-09.**\
Touché Rouché, by Robin Harte and Gary Keogh\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0109.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0109.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0109.pdf)\

**TCDMATH 01-08.**\
Stepwise Precession of the Resonant Swinging Spring, by Darryl D Holm and Peter Lynch\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0108.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0108.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0108.pdf)\

**TCDMATH 01-07.**\
Enumeration of tree properties by naïve methods, by Lars Ericson and Colm Ó Dúnlaing\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0107.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0107.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0107.pdf)\

**TCDMATH 01-06.**\
The Weakly Coupled Gross-Neveu Model with Wilson Fermions, by R. Kenna and J.C. Sexton\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0106.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0106.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0106.pdf)\

**TCDMATH 01-05.**\
Analysis of the Density of Partition Function Zeroes - A Measure for Phase Transition Strength, by W. Janke and R. Kenna\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0105.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0105.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0105.pdf)\

**TCDMATH 01-04.**\
Exact Finite-Size Scaling and Corrections to Scaling in the Ising Model with Brascamp-Kunz Boundary Conditions, by W. Janke and R. Kenna\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0104.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0104.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0104.pdf)\

**TCDMATH 01-03.**\
Zeros of polynomials on Banach spaces: the real story by R.M. Aron, C. Boyd , R.A. Ryan, and I. Zalduendo \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0103.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0103.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0103.pdf)\

**TCDMATH 01-02.**\
The Structure of the Aoki Phase at Weak Coupling, by R. Kenna, C. Pinto and J.C. Sexton\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0102.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0102.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0102.pdf)\

**TCDMATH 01-01.**\
Resonant Motions of the Three-dimensional Elastic Pendulum, by Peter Lynch\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0101.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0101.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0101.pdf)\

**TCDMATH 00-13.**\
Algebras of symmetric holomorphic functions on *lp*, by Raymundo Alencar, Richard Aron, Pablo Galindo, and Andriy Zagorodnyuk\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0013.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0013.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0013.pdf)\

**TCDMATH 00-12.**\
Sets of weak sequential continuity for polynomials by R. Aron and V. Dimant.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0012.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0012.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0012.pdf)\

**TCDMATH 00-11.**\
On spectral pictures, by Robin Harte.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0011.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0011.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0011.pdf)\

**TCDMATH 00-10.**\
Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions, by M.P.Fry\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0010.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0010.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0010.pdf)\

**TCDMATH 00-09.**\
The complexity of scheduling TV commercials, by Klemens Hägele, Colm Ó Dúnlaing, and Søren Riis.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0009.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0009.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0009.pdf)\

**TCDMATH 00-08.**\
Light Curves and Spectra from Gamma-Ray Bursts, by T.P. Downes, P. Duffy and S. Komissarov\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0008.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0008.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0008.pdf)\

**TCDMATH 00-07.**\
Reynolds--uniform numerical method for Prandtl's problem with suction--blowing based on Blasius' approach, by B. Gahan, J.J.H. Miller, and G.I. Shishkin\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0007.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0007.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0007.pdf)\

**TCDMATH 00-06.**\
An experimental technique for computing parameter--uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number, by P.A. Farrell, A.F. Hegary, J.J.H. Miller, E. O'Riordan, and G.I. Shishkin.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0006.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0006.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0006.pdf)\

**TCDMATH 00-05.**\
Accurate numerical method for Blasius' problem for flow past a flat plate with mass transfer by B. Gahan, J.J.H Miller, and G.I. Shishkin\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0005.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0005.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0005.pdf)\

**TCDMATH 00-04.**\
The Strength of First and Second Order Phase Transitions from Partition Function Zeroes, by W. Janke and R. Kenna.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0004.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0004.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0004.pdf) \

**TCDMATH 00-03.**\
A robust layer-resolving numerical method for a free convection problem, by Jocelyn Étienne, John J.H. Miller, and Grigorii I. Shishkin\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0003.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0003.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0003.pdf)\

**TCDMATH 00-02.**\
Chiral limit of the two-dimensional fermionic determinant in a general magnetic field, by M. P. Fry\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0002.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0002.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0002.pdf)\

**TCDMATH 00-01.**\
An Epistemological Derivation of Quantum Logic, by John Foy.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm0001.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0001.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm0001.pdf)\

**TCDMATH 99-17.**\
A Remark on Schwarz's Topological Field Theory by David H. Adams and Emil M. Prodanov \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9917.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9917.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9917.pdf)\

**TCDMATH 99-16.**\
Abelian Duality by Emil M. Prodanov and Siddhartha Sen \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9916.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9916.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9916.pdf)\

**TCDMATH 99-15.**\
On the Absence of Cross--Confinement for Dynamically Generated Multi--Chern--Simons Theories by Emil M. Prodanov and Siddhartha Sen \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9915.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9915.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9915.pdf)\

**TCDMATH 99-14.**\
Equivalence of the Self--Dual Model and Maxwell--Chern--Simons Theory on Arbitrary Manifolds, by Emil M. Prodanov and Siddhartha Sen \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9914.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9914.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9914.pdf)\

**TCDMATH 99-13.**\
Relativistic Shock Acceleration, by P. Duffy, T.P. Downes, Y.A. Gallant, and J.G. Kirk \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9913.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9913.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9913.pdf)\

**TCDMATH 99-12.**\
Discrete Approximation of the Riemann Problem for the Viscous Burgers Equation, by G. .I. Shishkin\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9912.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9912.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9912.pdf)\

**TCDMATH 99-11.**\
An iterative Re-uniform method for the numerical solution of the Prandtl boundary-layer problem, by Paul A. Farrell, Alan F. Hegarty, John.J.H. Miller, Eugene O'Riordan and G.I. Shishkin \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9911.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9911.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9911.pdf)\

**TCDMATH 99-10.**\
Numerical Stability of Lanczos Methods, by Eamonn Cahill, Alan Irving, Christopher Johnston, James Sexton, and The UKQCD Collaboration.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9910.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9910.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9910.pdf)\

**TCDMATH 99-09.**\
The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions, by R. Kenna, C. Pinto and J.C. Sexton.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9909.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9909.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9909.pdf)\

**TCDMATH 99-08.**\
Numerical Analysis of Re-Uniform Convergence for Boundary Layer Equations for a Flat Plate, by Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E., and Shishkin G.I.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9908.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9908.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9908.pdf)\

**TCDMATH 99-07.**\
The e-uniform convergence of the discrete derivatives for singularly perturbed problems, by Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E., and Shishkin G.I.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9907.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9907.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9907.pdf)\

**TCDMATH 99-06.**\
A technique for computing realistic values of the error parameters for the numerical solutions of singular perturbation problems, by Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E., and Shishkin G.I.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9906.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9906.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9906.pdf)\

**TCDMATH 99-05.**\
Ramond-Ramond Couplings on Brane-Antibrane Systems, by Conall Kennedy and Andy Wilkins.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9905.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9905.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9905.pdf)\

**TCDMATH 99-04.**\
Mathematics in primary schools, by Colm Ó Dúnlaing.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9904.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9904.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9904.pdf)\

**TCDMATH 99-03.**\
The spectral theory of non-negative matrices, by M.R.F. Smyth\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9903.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9903.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9903.pdf)\

**TCDMATH 99-02.**\
On the transfer of momentum from stellar jets to molecular outflows, by Turlough P. Downes and Tom P. Ray\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9902.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9902.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9902.pdf)\

**TCDMATH 99-01.**\
The Phase Structure of the Weakly Coupled Lattice Schwinger Model, by R. Kenna, C. Pinto and J.C. Sexton\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9901.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9901.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9901.pdf)\

**TCDMATH 98-10.**\
Fourier Analysis, Multiresolution Analysis, and Dilation Equations, by David Malone\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9810.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9810.ps) \

**TCDMATH 98-09.**\
Renormal-order improvement of the Schwinger mass, by Christoph Adam\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9809.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9809.ps) \

**TCDMATH 98-08.**\
Normalization of the chiral condensate in the massive Schwinger model, by Christoph Adam \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9808.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9808.ps) \

**TCDMATH 98-07.**Theta vacuum in different gauges, by Christoph Adam \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9807.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9807.ps) \

**TCDMATH 98-06.**\
A simple linear-time planar layout algorithm with a LEDA implementation, by Colm Ó Dúnlaing.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9806.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9806.ps) \

**TCDMATH 98-05.**\
Asymptotic expansion of the lattice scalar propagator in coordinate space, by Beatrice Paladini and James C. Sexton \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9805.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9805.ps) \

**TCDMATH 98-04.**\
Homeomorphism of 2-complexes is equivalent to graph isomorphism, by Colm Ó Dúnlaing, Colum Watt, and David Wilkins.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9804.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9804.ps) \

**TCDMATH 98-03.**\
Style Sheet Languages and Mathematical Material, by Richard M. Timoney. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9803.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9803.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9803.pdf)

**TCDMATH 98-02.**\
A note on positivity of elementary operators, by Richard M. Timoney. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9802.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9802.ps) [pdf](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9802.pdf)

**TCDMATH 98-01.**\
Singular Behaviour of the Potts Model in the Thermodynamic Limit, by Ralph Kenna.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9801.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9801.ps)

**TCDMATH 97-14.**\
Cosmology with a primordial scaling field, by Pedro G. Ferreira and Michael Joyce.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9714.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9714.ps)

**TCDMATH 97-13.**\
Electroweak baryogensis without the phase transition, by Michael Joyce.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9713.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9713.ps)

**TCDMATH 97-12.**\
Turning Around the Sphaleron Bound: Electroweak Baryogenesis in an Alternative Post-inflationary Cosmology, by Michael Joyce and Tomislav Prokopec.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9712.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9712.ps)

**TCDMATH 97-11.**\
Supersymmetric Electroweak Baryogenesis in the WKB Approximation, by James M. Cline, Michael Joyce and Kimmo Kainulainen.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9711.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9711.ps)

**TCDMATH 97-10.**\
Structure formation with a self-tuning scalar field, by Pedro G. Ferreira and Michael Joyce.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9710.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9710.ps)

**TCDMATH 97-09.**\
Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly, by M. Joyce and M. Shaposhnikov.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9709.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9709.ps)

**TCDMATH 97-08.**\
Three-Dimensional Black Holes and String Theory, by Danny Birmingham, Ivo Sachs, and Siddhartha Sen.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9708.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9708.ps)

**TCDMATH 97-07.**\
Fisher zeroes and singular behaviour of the two-dimensional Potts model in the Thermodynamic limit, by R. Kenna.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9707.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9707.ps)

**TCDMATH 97-06.**\
A short course in Eiffel, by Colm Ó Dúnlaing.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9706.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9706.ps)

**TCDMATH 97-05.**\
Completeness of some axioms of Lukasiewicz's: an exercise in problem-solving, by Colm Ó Dúnlaing.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9705.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9705.ps)

**TCDMATH 97-04.**\
Euromath system: alphabets and fonts, by Richard M. Timoney.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9704.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9704.ps)

**TCDMATH 97-03.**\
Fortune's Voronoi diagram algorithm extended to convex sites, by Andrew Farrell.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9703.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9703.ps)

**TCDMATH 97-02.**\
Pisier's operator Hilbert space, by Richard M. Timoney.\
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9702.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9702.ps)

**TCDMATH 97-01.**\
Miscellaneous topological algorithms, by Colm Ó Dúnlaing, Colum Watt, David Wilkins, and Chee Yap. \
[abstract](http://www.maths.tcd.ie/report_series/abstracts/tcdm9701.html) [postscript](http://www.maths.tcd.ie/report_series/tcdmath/tcdm9701.ps)