# Pure Mathematics (Research)

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

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[Disciplines](https://www.maths.tcd.ie/disciplines/) > Pure Mathematics (Research)

## 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/)
- [Nikhil Savale — Differential Geometry, geometric analysis and partial differential equations](https://www.maths.tcd.ie/people/savalen/)
- [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/)
- [Nikhil Savale — Differential Geometry, geometric analysis and partial differential equations](https://www.maths.tcd.ie/people/savalen/)

## 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/)
- [Nikhil Savale — Differential Geometry, geometric analysis and partial differential equations](https://www.maths.tcd.ie/people/savalen/)
- [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)