Pure Mathematics (Research)
Source: https://www.maths.tcd.ie/pure/research/ Parent: https://www.maths.tcd.ie/
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Algebraic Geometry
- Marvin Hahn — Combinatorial algebraic geometry, enumerative geometry, tropical geometry, degeneration techniques
- Nicolas Mascot — Explicit methods for Galois representations, étale cohomology, and related domains in number theory
- Sergey Mozgovoy — Algebraic geometry, representation theory, combinatorics
- Andreea Nicoara — Several complex variables and real algebraic geometry
- Katrin Wendland — Complex algebraic and differential geometry, representation theory, conformal and topological quantum field theory
Complex analysis and geometry
- Jan Manschot — Quantum Field Theory, String Theory, Algebraic Geometry and Modular Forms
- Sergey Mozgovoy — Algebraic geometry, representation theory, combinatorics
- Andreea Nicoara — Several complex variables and real algebraic geometry
- Nikhil Savale — Differential Geometry, geometric analysis and partial differential equations
- Dmitri Zaitsev — several complex variables (CR geometry), real and complex algebraic geometry, symplectic geometry and Lie Group actions
Computational number theory
Geometry and Topology
- Tommaso Cremaschi — Hyperbolic geometry, Teichmüller Theory and moduli space of 2 and 3-manifolds and low dimensional topology
- Florian Naef — Non-commutative geometry and string topology
- Nikhil Savale — Differential Geometry, geometric analysis and partial differential equations
Mathematical Physics
- Florian Naef — Non-commutative geometry and string topology
- Jan Manschot — Quantum Field Theory, String Theory, Algebraic Geometry and Modular Forms
- Samson Shatashvili — Quantum field theory, string theory, integrable systems, mathematical physics, representation theory, conformal field theory
- John Stalker — Classical general relativity, hyperbolic partial differential equations, Vlasov and Boltzmann equations, linear and nonlinear theories of electromagnetism, numerical analysis
- Katrin Wendland — Complex algebraic and differential geometry, representation theory, conformal and topological quantum field theory
Partial Differential Equations
- Paschalis Karageorgis — Analysis, Ordinary Differential Equations, Partial Differential Equations
- Nikhil Savale — Differential Geometry, geometric analysis and partial differential equations
- John Stalker — Classical general relativity, hyperbolic partial differential equations, Vlasov and Boltzmann equations, linear and nonlinear theories of electromagnetism, numerical analysis