Summer School

Every year, the Utrecht Geometry Centre organises a Summer School on Geometry aimed at students that have completed their 2nd or 3rd year of undergraduate studies in Mathematics. For two weeks, attendees will interact with our staff, through lectures and tutorials, learning about some of the topics studied at the UGC.

The Summer School is organised within the framework of the campus-wide. They take care of all practical issues, such as arranging housing, waivers and grants, as well as offering an attractive social programme.

The application round has now been completed for the 2025 edition, which will take place in the period 11-22 August. Further details can be found on the . 

How to enroll

Interested in attending the Summer School? (Applications for the 2026 edition will open in early 2026)

Many people on stairs, staff and students from the Summer School 2025
Summer School 2025 students and teachers

2025 edition courses

  • Quaternion algebras and their applications
  • Matrix Lie groups and Lie algebras
  • In how many ways can we prove the Whitney-Graustein theorem?
  • Elliptic curves and congruent numbers
  • A hands-on introduction to Formalizing Mathematics in Lean
  • Mathematical Billiards
  • Manifolds and algebraic topology
  • History of geometry
  • An introduction to category theory
  • Analysis in multiple complex variables

Previous editions

  • Summer School 2024

    • Zeta functions
    • Black hole spacetimes
    • Representations of finite groups
    • Newton polygons
    • History of geometry
    • Elliptic Curves
    • A topologist鈥檚 time machine
    • A gentle introduction to Morse theory
    • Representations of matrix groups
    • Topological quantum field theories and cobordisms

  • Summer School 2023

    • Fixed point theorems and their applications
    • Some highlights of symplectic geometry
    • A topologist鈥檚 time machine
    • In how many ways can we prove the Whitney-Graustein theorem?
    • Geometry of numbers
    • Modular forms
    • Discrete logarithm problem for elliptic curves over finite fields
    • Representations of finite groups
    • Random geometry of equilibrium phases
    • Random geometry of equilibrium phases

Organizers