Number Theory
Our research encompasses a broad range of topics within number theory.
Research interests
- 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).
Events
Learning Enough/Extra/Elementary/Explicit Number Theory
LENT is a learning seminar in number theory. Please contact Gunther Cornelissen for more information.
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.
Dutch Analytic Number Theory Symposium
The Dutch Analytic Number Theory Symposium takes place annually at Utrecht.
DIAMANT Symposium
Semiannual meeting of the Dutch research cluster DIAMANT.
Getaltheorie in het Vlakke land - Arithmétique en plat pays
This seminar is organised between multiple universities in France, Belgium, and the Netherlands. The last edition in Utrecht took place in winter 2024. The winter 2026 edition will take place in Lille.
Staff
dr. J.M. (Johan) Commelin
Assistant Professor- Interests: formalization of mathematics, arithmetic geometry, o-minimal theory, categorical logic, type theory
- Interests: Number Theory and Geometry
dr. M. (Marta) Pieropan
Associate Professor- Interests: algebraic geometry and number theory, Diophantine geometry, analytic number theory
dr. S. (Sara) Mehidi
Researcher- Interests: Algebraic geometry and logarithmic geometry and their applications to arithmetics
dr. S. (Soumya) Sankar
Researcher- Interests: Arithmetic geometry, rational points on varieties and stacks, moduli spaces, curves and abelian varieties, obstruction problems.
A.M.C. (Audrey) Antoine
PhD Candidate- PhD Supervisor: Marta Pieropan
Interests: Geometric Manin's conjecture for rational curves on positive characteristic function fields - PhD Supervisor: Lola Thompson
Interests: Analytic number theory, modular forms and sieve methods S.S. (Samira) le Grand MSc
PhD Candidate- PhD Supervisor: Lola Thompson
Interests: Applications of number theory to spectral geometry D.P.T. (David) Hokken MSc
PhD Candidate- PhD Supervisors: Gunther Cornelissen & Lola Thompson
Interests: Number theory, in particular zeroes/Galois theory/complex dynamics of Littlewood polynomials J.A. (Justin) Uhlemann
PhD Candidate- PhD Supervisor: Marta Pieropan
Interests: Arithmetic geometry and analytic number theory: Points of bounded height, local-global principles
Emeriti and Guests
prof. dr. F. (Frits) Beukers
Emeritus Professor- Interests: Number theory (in particular diophantine matters), Arithmetic and monodromy of linear differential equations, hypergeometric functions.
- Interests: Automorphic forms.
prof. dr. F. (Frans) Oort
Emeritus Professor- Interests: Algebraic geometry, arithmetic algebraic geometry, moduli of abelian varieties in positive characteristic.
Past events
More information about events organised by the group in the past can be found here.