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

**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.

**Stefano Marseglia**(webpage)

Interests: Arithmetic Geometry and Number Theory, with focus on computational aspects

**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

**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**

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.