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 Summer School Utrecht. They take care of all practical issues, such as arranging housing, waivers and grants, as well as offering an attractive social programme. Further details can be found on the website of the school.

Dom Tower as seen from the Stadhuisplein
Dom Tower Oudegracht

How to enroll

Interested in attending the Summer School? Keep an eye on this page. We will announce the 2027 edition, to take place in mid August, at some point in the spring.

Apply here

Previous editions

  • Summer School 2026

    • What is contact topology?
    • Affine lines as division rings
    • Catastrophic optics
    • Geometry and its applications before 1660
    • Quaternion algebras and quadratic forms
    • Topological embeddings of compact ndimensional metric spaces
    • Quivers, representations, and classifications
    • The Last Entry by Gauss and elliptic curves
    • Complex analysis in several variables
    • Constructivism in the history of geometry

  • Summer School 2025

    • 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

  • Summer School 2024

    • Zeta functions
    • Black hole spacetimes
    • Representations of finite groups
    • Newton polygons
    • History of geometry
    • Elliptic Curves
    • A topologist’s 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’s 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

Organizers