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

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

Sebastián Carrillo Santana
(webpage)
Supervisor: Lola Thompson
Interests: Analytic number theory, specially tools related with the analytical theory of the Riemann zeta function

Gunther Cornelissen
(webpage)
Interests: Number Theory and Geometry

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.

Mikhail Hlushchanka
(webpage)
Interests: Dynamical systems (in particular, holomorphic, symbolic, and arithmetic dynamics), self-similar groups, conformal and fractal geometry.

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

Stefano Marseglia
(webpage)
Interests: Arithmetic Geometry and Number Theory, with focus on computational aspects

Boaz Moerman
(webpage)
Supervisor: Marta Pieropan
Interests: Number theory and algebraic geometry: rational points, L-functions, modular forms.

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

Shuntaro Yamagishi
(webpage)
Interests: Number theory