# Research in Applied Mathematics and Theoretical Physics

**Source**: https://www.maths.tcd.ie/research/fields/amtp/
**Parent**: https://www.maths.tcd.ie/

**You are here**
[Research](https://www.maths.tcd.ie/research/) > [Fields](https://www.maths.tcd.ie/research/fields/) > Applied Mathematics and Theoretical Physics

# Research in Applied Mathematics and Theoretical Physics

## Lattice Quantum Chromodynamics (Lattice QCD)

- [Patrick Fritzsch - Standard model of elementary particle physics, Renormalisation, Resurgence, Effective Field Theory](https://www.maths.tcd.ie/people/fritzscp/)
- [Michael Peardon - Hadron physics and spectroscopy, Monte Carlo methods](https://www.maths.tcd.ie/people/mjp/)
- [Sinéad M. Ryan - QCD at zero and finite temperature, heavy quark physics, spectroscopy of strong exotic matter](https://www.maths.tcd.ie/people/ryan/)
- [Stefan Sint - Precision studies in lattice QCD, non-perturbative renormalization and O(a) improvement, effective theories, perturbation theory](https://www.maths.tcd.ie/people/sint/)

## Numerical Analysis and Scientific Computing

- [Kirk Soodhalter -
  Numerical Linear Algebra, Ill-posed problems, Krylov subspace methods, data-driven iterative methods, High-Performance computing applications](https://www.maths.tcd.ie/people/ksoodha/)

## Quantum Field Theory

- [Ruth Britto - Scattering Amplitudes, Feynman Integrals](https://www.maths.tcd.ie/people/britto/)
- [Nigel Buttimore - Spin structure of hadrons in the context of their constituent quarks and gluons; theoretical support for spin programmes at polarized proton and antiproton colliders](https://www.maths.tcd.ie/people/nhb/)
- [Marius de Leeuw - Integrability, String Theory, QFT](https://www.maths.tcd.ie/people/mdeleeuw/)
- [Sergey Frolov - String sigma models related to AdS/CFT, integrable systems, conformal field theory](https://www.maths.tcd.ie/people/frolovs/)
- [Michael Fry - Analytical calculation of the functional determinant of the Dirac operator in the presence of an external background gauge field](https://www.maths.tcd.ie/people/mpfry/)
- [Manuela Kulaxizi- Conformal Field Theory, Quantum Gravity, holography, Quantum field theory, String Theory](https://www.maths.tcd.ie/people/manuela/)
- [Jan Manschot - Quantum Field Theory, String Theory, Algebraic Geometry and Modular Forms](https://www.maths.tcd.ie/people/manschot/)
- [Tristan McLoughlin - Quantum Field theory, Quantum Gravity, String Theory, Integrable models and Many-body physics](https://www.maths.tcd.ie/people/tristan/)
- [Andrei Parnachev - Quantum Field Theory, Quantum Gravity, Holography, Conformal Field Theory, String Theory](https://www.maths.tcd.ie/people/parnachev/)
- [Samson Shatashvili - Quantum field theory, string theory, integrable systems, mathematical physics, representation theory, conformal field theory](https://www.maths.tcd.ie/people/samson/)

## Mathematical Physics

- [Florian Naef — Non-commutative geometry and string topology.](https://www.maths.tcd.ie/people/naef/)
- [Jan Manschot — Quantum Field Theory, String Theory, Algebraic Geometry and Modular Forms](https://www.maths.tcd.ie/people/manschot/)
- [Samson Shatashvili — Quantum field theory, string theory, integrable systems, mathematical physics, representation theory, conformal field theory.](https://www.maths.tcd.ie/people/samson)
- [John Stalker — Classical general relativity, hyperbolic partial differential equations, Vlasov and Boltzmann equations, linear and nonlinear theories of electromagnetism, numerical analysis.](https://www.maths.tcd.ie/people/stalker)
- [Katrin Wendland — Complex algebraic and differential geometry, representation theory, conformal and topological quantum field theory.](https://www.maths.tcd.ie/people/wendland/)

## String Theory

- [Marius de Leeuw - Integrability, String Theory, QFT](https://www.maths.tcd.ie/people/mdeleeuw/)
- [Sergey Frolov - String sigma models related to AdS/CFT, integrable systems, conformal field theory](https://www.maths.tcd.ie/people/frolovs/)
- [Manuela Kulaxizi - Conformal Field Theory, Quantum Gravity, holography, Quantum field theory, String Theory](https://www.maths.tcd.ie/people/manuela/)
- [Jan Manschot - Quantum Field Theory, String Theory, Algebraic Geometry and Modular Forms](https://www.maths.tcd.ie/people/manschot/)
- [Tristan McLoughlin - Quantum Field theory, Quantum Gravity, String Theory, Integrable models and Many-body physics](https://www.maths.tcd.ie/people/tristan/)
- [Andrei Parnachev - Quantum Field Theory, Quantum Gravity, Holography, Conformal Field Theory, String Theory](https://www.maths.tcd.ie/people/parnachev/)
- [Samson Shatashvili - Quantum field theory, string theory, integrable systems, mathematical physics, representation theory, conformal field theory](https://www.maths.tcd.ie/people/samson/)