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
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2023/10/Johan-Commelin_360x360.jpg)
Johan Commelin
(webpage)
Interests: formalization of mathematics, arithmetic geometry, o-minimal theory, categorical logic, type theory
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2016/09/GuntherCornelissen-1.jpg)
Gunther Cornelissen
(webpage)
Interests: Number Theory and Geometry
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2016/09/UGCphoto.png)
Valentijn Karemaker
(webpage)
Interests: Arithmetic geometry and number theory: rational points on, zeta functions of, and Galois representations attached to algebraic varieties.
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2020/11/PhotoUU_Marta-Pieropan-scaled-e1685377937271.jpg)
Marta Pieropan
(webpage)
Interests: algebraic geometry and number theory, Diophantine geometry, analytic number theory
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2021/01/Lola-Square.jpg)
Lola Thompson
(webpage)
Interests: Analytic number theory, algorithmic number theory, applications of number theory to spectral geometry
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2021/03/P1070956.jpg)
Stefano Marseglia
(webpage)
Interests: Arithmetic Geometry and Number Theory, with focus on computational aspects
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2023/10/Sara-Mehidi.jpg)
Sara Mehidi
(webpage)
Interests: Algebraic geometry and logarithmic geometry and their applications to arithmetics
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2023/10/Picture-for-website-copy.jpg)
Soumya Sankar
(webpage)
Interests: Arithmetic geometry, rational points on varieties and stacks, moduli spaces, curves and abelian varieties, obstruction problems.
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2022/02/SebastianCarrillo.jpg)
Sebastián Carrillo Santana
(webpage)
Supervisor: Lola Thompson
Interests: Analytic number theory, modular forms and sieve methods
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2021/03/Photo-Mar.jpeg)
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.
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2022/10/picture-UGC-website-Samira.jpg)
Samira le Grand
Supervisor: Lola Thompson
Interests: Applications of number theory to spectral geometry
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2022/10/unnamed.jpg)
David Hokken
(webpage)
Supervisor: Gunther Cornelissen & Lola Thompson
Interests: Number theory, in particular zeroes/Galois theory/complex dynamics of Littlewood polynomials
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2021/10/BoazMoerman.jpg)
Boaz Moerman
(webpage)
Supervisor: Marta Pieropan
Interests: Number theory and algebraic geometry: rational points, L-functions, modular forms.
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2023/09/Justin-Uhlemann.jpg)
Justin Uhlemann
(webpage)
Supervisor: Marta Pieropan
Interests: Arithmetic geometry and analytic number theory: Points of bounded height, local-global principles
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2023/09/HsinYi-Yang.jpeg)
Hsin-Yi Yang
Supervisor: Valentijn Karemaker
Interests: Algebraic number theory and abelian varieties
Emeritus staff
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2016/09/FritsBeukers.jpg)
Frits Beukers
(webpage)
Interests: Number theory (in particular diophantine matters), Arithmetic and monodromy of linear differential equations, hypergeometric functions.
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2022/01/bruggeman.jpg)
Roelof W. Bruggeman
(webpage)
Interests: Automorphic forms.
![](https://utrechtgeometrycentre.nl/wp-content/uploads/2016/09/picturemissing.jpg)
Frans Oort
(webpage)
Interests: Algebraic geometry, arithmetic algebraic geometry, moduli of abelian varieties in positive characteristic.