Research in Pure Mathematics

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

You are here Research > Fields > Pure Mathematics

Research in Pure Mathematics

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
• Katrin Wendland — Complex algebraic and differential geometry, representation theory, conformal and topological quantum field theory
• Dmitri Zaitsev — several complex variables (CR geometry), real and complex algebraic geometry, symplectic geometry and Lie Group actions

Computational number theory

• Nicolas Mascot — Explicit methods for Galois representations, étale cohomology, and related domains in 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

History of Mathematics

• David Wilkins — works on the history of mathematics, concentrating on the work of Hamilton and contemporaries of the 19th century

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
• John Stalker — Classical general relativity, hyperbolic partial differential equations, Vlasov and Boltzmann equations, linear and nonlinear theories of electromagnetism, numerical analysis