Some of our research interests include:
- 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).
Our members
Johan Commelin
(webpage)
Interests: formalization of mathematics, arithmetic geometry, o-minimal theory, categorical logic, type theory
Carel Faber
(webpage)
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).
Valentijn Karemaker
(webpage)
Interests: Arithmetic geometry and number theory: rational points on, zeta functions of, and Galois representations attached to algebraic varieties.
Martijn Kool
(webpage)
Interests: Algebraic geometry. Moduli spaces of sheaves on toric varieties. Stable pair invariants and their connections with enumerative geometry.
Marta Pieropan
(webpage)
Interests: algebraic geometry and number theory, Diophantine geometry, analytic number theory
Younghan Bae
(webpage)
Interests: Moduli spaces arising from algebraic geometry, including moduli spaces of curves, moduli spaces of sheaves, Picard stacks, abelian fibration, Calabi-Yau 4-folds and intersection theory.
Remy van Dobben de Bruyn
(webpage)
Interests: Algebraic geometry in positive and mixed characteristic, Chow motives, intersection theory, étale cohomology, and étale homotopy.
Woonam Lim
(webpage)
Interests: Algebraic geometry. Moduli spaces of sheaves and related enumerative problems.
Sara Mehidi
(webpage)
Interests: Algebraic geometry and logarithmic geometry and their applications to arithmetics
Soumya Sankar
(webpage)
Interests: Arithmetic geometry, rational points on varieties and stacks, moduli spaces, curves and abelian varieties, obstruction problems.
Mar Curcó Iranzo
(webpage)
Supervisor: Valentijn Karemaker
Interests: Arithmetic geometry and number theory: Rational points on Jacobians of modular curves, modular forms and elliptic K3 surfaces.
Dusan Dragutinovic
Supervisor: Carel Faber
Raphael Douglas Giles
(webpage)
Supervisor: Johan Commelin
Interests: Formalization of Mathematics, Algebraic Geometry, Birational Geometry, Type Theory
Boaz Moerman
(webpage)
Supervisor: Marta Pieropan
Interests: Number theory and algebraic geometry: rational points, L-functions, modular forms.
Reinier Schmiermann
Supervisor: Martijn Kool
Justin Uhlemann
(webpage)
Supervisor: Marta Pieropan
Interests: Arithmetic geometry and analytic number theory: Points of bounded height, local-global principles
Weisheng Wang
Supervisor: Martijn Kool
Interests: algebraic geometry and theoretical physics
Hsin-Yi Yang
Supervisor: Valentijn Karemaker
Interests: Algebraic number theory and abelian varieties
Emeritus staff
Wilberd van der Kallen
(webpage)
Interests: Algebraic groups, their representations and geometry.
Frans Oort
(webpage)
Interests: Algebraic geometry, arithmetic algebraic geometry, moduli of abelian varieties in positive characteristic.
Dirk Siersma
(webpage)
Interests: Geometry and Topology (in particular Singularity Theory).
Jan Stienstra
(webpage)
Interests: Hypergeometric systems; Calabi-Yau and toric varieties; Frobenius operators in various contexts; quivers and dimers; connections with string theory.
Local events
Vector bundles on curves - Quivers and sheaves. The workshop will take place on May 14-15, in Utrecht. It will focus on moduli of objects in abelian categories of low dimension, namely quiver representations, sheaves and Higgs sheaves on curves and surfaces.
Algebraic Geometry Seminar. The Spring 2025 incarnation of the seminar is held on Tuesdays in the period 1:30pm - 2:30pm CET.
