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).

Staff

  • dr. J.M. (Johan) Commelin

    Assistant Professor
  • Interests: formalization of mathematics, arithmetic geometry, o-minimal theory, categorical logic, type theory

  • prof. dr. G.L.M. (Gunther) Cornelissen

    Professor
    Academic Director
  • Interests: Number Theory and Geometry

  • dr. M. (Marta) Pieropan

    Assistant 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.

  • S. (Sebastián) Carrillo Santana

    PhD Candidate
  • 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

  • dr. B.C. (Boaz) Moerman

  • PhD Supervisor: Marta Pieropan
    Interests: Number theory and algebraic geometry: rational points, L-functions, modular forms.

  • 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.

  • dr. R.W. (Roelof) Bruggeman

    Guest
  • Interests: Automorphic forms.

  • prof. dr. F. (Frans) Oort

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