Algebraic Geometry
Research interests
- Moduli spaces of curves and abelian varieties, tautological classes, Siegel and Teichmüller modular forms, and their relation to the cohomology of moduli spaces, linear orbits of plane curves
- Arithmetic geometry and algebraic number theory, rational points of algebraic varieties, zeta functions and Galois representations associated to algebraic varieties
- Moduli spaces of sheaves, (virtual) enumerative geometry on 2-, 3-, and (Calabi-Yau) 4-folds, Donaldson-Thomas and related invariants, relations to combinatorics, modular forms, and theoretical physics
- Diophantine geometry, arithmetic applications of birational geometry, varieties over non-algebraically closed fields, Cox rings, Fano varieties, toric varieties, rationally connected varieties, rational points over global fields
Our members are part of the Dutch clusters Discrete, Interactive and Algorithmic Mathematics, Algebra and Number Theory (DIAMANT) and Geometry and Quantum Theory (GQT).
Events
Wallcrossing Seminar
A hybrid seminar on wallcrossing techniques (recent and old) developing the techniques in Arkadij Bojko's recent work.
The Geometric Manin Conjecture
A reading seminar series aiming to understand the paper Geometric Manin's conjecture and rational curves by Lehmann and Tanimoto.
Algebraic Geometry Seminar
If you have any questions about the seminar, please contact the co-organizers Soumya Sankar or Sara Mehidi.
Members
dr. P. (Pieter) Belmans
Assistant Professor- Interests: Representation theory, (noncommutative) algebraic geometry
dr. J.M. (Johan) Commelin
Assistant Professor- Interests: formalization of mathematics, arithmetic geometry, o-minimal theory, categorical logic, type theory
prof. dr. C.F. (Carel) Faber
Professor- Interests: Algebraic geometry (moduli spaces of curves and of abelian varieties, tautological classes, Siegel and Teichmüller modular forms and their relation to the cohomology of moduli spaces, linear orbits of plane curves).
dr. M. (Martijn) Kool
Associate Professor- Interests: Algebraic geometry. Enumerative geometry and moduli spaces of sheaves. Connections to combinatorics, modular forms, and theoretical physics.
dr. M. (Marta) Pieropan
Assistant Professor- Interests: algebraic geometry and number theory, Diophantine geometry, analytic number theory
A.O.D. (Olivier) de Gaay Fortman
Researcher- Interests: Algebraic and arithmetic geometry, (real) Hodge theory, Torelli locus, Shimura varieties
dr. S. (Sara) Mehidi
Researcher- Interests: Algebraic geometry and logarithmic geometry and their applications to arithmetics
P. (Pim) Spelier MSc
Researcher- Interests: Algebraic and arithmetic geometry, log Gromov-Witten theory, quadratic Chabauty method
dr. S. (Soumya) Sankar
Researcher- Interests: Arithmetic geometry, rational points on varieties and stacks, moduli spaces, curves and abelian varieties, obstruction problems.
dr. Thorsten Schimannek
Researcher- Interests: String theory and connections to enumerative geometry, Gromov-Witten theory
A.M.C. (Audrey) Antoine
PhD Candidate- PhD Supervisor: Marta Pieropan
Interests: Algebraic geometry, number theory, rational points, Campana points, del Pezzo surfaces, geometric Manin’s conjecture, torsors, motivic counting R.O.T. (Raphael) Douglas Giles
PhD Candidate- PhD Supervisor: Johan Commelin
Interests: Formalization of Mathematics, Algebraic Geometry, Birational Geometry, Type Theory T. (Tom) Manopulo
PhD Candidate- PhD Supervisor: Martijn Kool
C.J. (Christian) Merten
PhD CandidateJ.A. (Justin) Uhlemann
PhD Candidate- PhD Supervisor: Marta Pieropan
Interests: Arithmetic geometry and analytic number theory: Points of bounded height, local-global principles
Emeritus and Guests
- Interests: Algebraic groups, their representations and geometry.
prof. dr. F. (Frans) Oort
Emeritus Professor- Interests: Algebraic geometry, arithmetic algebraic geometry, moduli of abelian varieties in positive characteristic.
prof. dr. D. (Dirk) Siersma
Emeritus Professor- Interests: Geometry and Topology (in particular Singularity Theory).
- Interests: Hypergeometric systems; Calabi-Yau and toric varieties; Frobenius operators in various contexts; quivers and dimers; connections with string theory.