# Research in Pure Mathematics
**Source**: https://www.maths.tcd.ie/research/fields/pure/
**Parent**: https://www.maths.tcd.ie/
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[Research](https://www.maths.tcd.ie/research/) > [Fields](https://www.maths.tcd.ie/research/fields/) > Pure Mathematics
# Research in Pure Mathematics
## Algebraic Geometry
- [Marvin Hahn — Combinatorial algebraic geometry, enumerative geometry, tropical geometry, degeneration techniques](https://www.maths.tcd.ie/people/hanhnma/)
- [Nicolas Mascot — Explicit methods for Galois representations, étale cohomology, and related domains in number theory](https://www.maths.tcd.ie/people/mascotn/)
- [Sergey Mozgovoy — Algebraic geometry, representation theory, combinatorics](https://www.maths.tcd.ie/people/mozgovoy/)
- [Andreea Nicoara — Several complex variables and real algebraic geometry](https://www.maths.tcd.ie/people/anicoara/)
- [Katrin Wendland — Complex algebraic and differential geometry, representation theory, conformal and topological quantum field theory](https://www.maths.tcd.ie/people/wendland/)
## Complex analysis and geometry
- [Jan Manschot — Quantum Field Theory, String Theory, Algebraic Geometry and Modular Forms](https://www.maths.tcd.ie/people/manschot/)
- [Sergey Mozgovoy — Algebraic geometry, representation theory, combinatorics](https://www.maths.tcd.ie/people/mozgovoy/)
- [Andreea Nicoara — Several complex variables and real algebraic geometry](https://www.maths.tcd.ie/people/anicoara/)
- [Katrin Wendland — Complex algebraic and differential geometry, representation theory, conformal and topological quantum field theory](https://www.maths.tcd.ie/people/wendland/)
- [Dmitri Zaitsev — several complex variables (CR geometry), real and complex algebraic geometry, symplectic geometry and Lie Group actions](https://www.maths.tcd.ie/people/zaitsev/)
## Computational number theory
- [Nicolas Mascot — Explicit methods for Galois representations, étale cohomology, and related domains in number theory](https://www.maths.tcd.ie/people/mascotn/)
## Geometry and Topology
- [Tommaso Cremaschi — Hyperbolic geometry, Teichmüller Theory and moduli space of 2 and 3-manifolds and low dimensional topology](https://www.maths.tcd.ie/people/cremaschi/)
- [Florian Naef — Non-commutative geometry and string topology](https://www.maths.tcd.ie/people/naef/)
## History of Mathematics
- [David Wilkins — works on the history of mathematics, concentrating on the work of Hamilton and contemporaries of the 19th century](https://www.maths.tcd.ie/people/dwilkins/)
## 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/)
## Partial Differential Equations
- [Paschalis Karageorgis — Analysis, Ordinary Differential Equations, Partial Differential Equations](https://www.maths.tcd.ie/people/pete/)
- [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)