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).
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
National and international events
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.