The Summer School on Geometry is a two-week program featuring ten one-day mini-courses on various topics within Geometry, to take place from 10th to 21st August in Utrecht University (The Netherlands).

The School will consist of 10 one-day minicourses, aimed at Mathematics students that have at least completed their 2nd year of undergraduate studies. Physics students with a basic background in algebra, analysis and topology are also welcome to apply. The courses will cover topics in Geometry (understood broadly) and are meant not to overlap with standard content covered in most mathematics majors. A detailed programme is still being finalised; to get an idea of the topics we try to cover, here is the list of courses given in 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

If you are interested in applying, you should go to the website of the School: https://utrechtsummerschool.nl/courses/science/geometry

All information can be found there. If you have any questions, feel free to send an email to W. de Graaf ([email protected]).