Number Theory – Utrecht Geometry Centre

Our research encompasses a broad range of topics within number theory. Some of our research interests include:

Algebraic curves
Algebraic and arithmetic dynamics
Algorithmic number theory
Analytic number theory
Applications of number theory to spectral geometry
Arithmetic geometry
Arithmetic of linear differential equations
Arithmetic statistics
Diophantine problems
Geometry of numbers
Hypergeometric functions
Number theory in function fields of positive characteristic
Relation between number theory and logic: undecidability and o-minimality

Our members are part of the Dutch clusters on 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

Gunther Cornelissen (webpage)

Interests: Number Theory and Geometry

Valentijn Karemaker (webpage)

Interests: Arithmetic geometry and number theory: rational points on, zeta functions of, and Galois representations attached to algebraic varieties.

Marta Pieropan (webpage)

Interests: algebraic geometry and number theory, Diophantine geometry, analytic number theory

Lola Thompson (webpage)

Interests: Analytic number theory, algorithmic number theory, applications of number theory to spectral geometry

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.

Sebastián Carrillo Santana (webpage)

Supervisor: Lola Thompson

Interests: Analytic number theory, modular forms and sieve methods

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.

Samira le Grand

Supervisor: Lola Thompson

Interests: Applications of number theory to spectral geometry

David Hokken (webpage)

Supervisor: Gunther Cornelissen & Lola Thompson

Interests: Number theory, in particular zeroes/Galois theory/complex dynamics of Littlewood polynomials

Boaz Moerman (webpage)

Supervisor: Marta Pieropan

Interests: Number theory and algebraic geometry: rational points, L-functions, modular forms.

Justin Uhlemann (webpage)

Supervisor: Marta Pieropan

Interests: Arithmetic geometry and analytic number theory: Points of bounded height, local-global principles

Hsin-Yi Yang

Supervisor: Valentijn Karemaker

Interests: Algebraic number theory and abelian varieties

Emeritus staff

Frits Beukers (webpage)

Interests: Number theory (in particular diophantine matters), Arithmetic and monodromy of linear differential equations, hypergeometric functions.

Roelof W. Bruggeman (webpage)

Interests: Automorphic forms.

Frans Oort (webpage)

Interests: Algebraic geometry, arithmetic algebraic geometry, moduli of abelian varieties in positive characteristic.

Local events

Learning Enough/Extra/Elementary/Explicit Number Theory. LENT is a learning seminar in number theory. Please contact Gunther Cornelissen for more information.

National and international events

Getaltheorie in het Vlakke land and Arithmétique en plat pays.

DIAMANT Symposium. Semiannual meeting of the Dutch research cluster DIAMANT.

ABKLS. A regional seminar on modular forms and related topics.

Intercity Number Theory Seminar. Since 1993 the Intercity number theory seminar has met once or twice a month on Fridays at varying locations in or close to Holland, most frequently in Leiden, Amsterdam, Groningen, Utrecht, Nijmegen and Eindhoven.