Doctoral courses

The Department of Mathematics and Mathematical Statistics offers several doctoral courses each year. These courses aim to provide doctoral students with a broad knowledge of the research subject and more specific knowledge needed in particular research projects. Beyond the courses that are listed below, it is possible to sometimes (in consultation with the supervisor, the Director of Doctoral Studies or the PhD Coordinator) read and be examined on other courses, such as the courses given in our master's programmes (Mathematics, Mathematical Statistics) with an adaption to the doctoral level, or doctoral courses from other universities.  

The following courses are planned for 2026:

• Symmetries of Differential Equations, 7.5 ECTS, Fredrik Ohlsson, February-April 2026. 
• Major Breakthroughs in Ramsey Theory, 10 ECTS, Victor Falgas-Ravry, February-June 2026.
• Manifold-like Polyfolds, 7.5 ECTS, Fredrik Ohlsson, February-June 2026.
• Control Theory, 7.5 ECTS, Eric Libby, March-May 2026.
• Computational Statistics, 7.5 ECTS, Natalya Pya Arnqvist, November-December 2026.

The following courses were given in 2025:

• Erdős-Ko-Rado combinatorics of strongly regular graphs, 5 ECTS, Sergey Goryainov, January-February 2025
• Optimal Transport, 7.5 ECTS, Jakob Hultgren, March-April 2025
• Modular Forms, 7.5 ECTS, Henrik Gustafsson, October 2025-March 2026. 
• Equivariant Neural Networks, 6 ECTS, Axel Kisch Flinth, November 2025-January 2026.
• Random Algebraic Constructions, 9 ECTS, Victor Falgas-Ravry, November 2025-February 2026.

The following courses were given in 2024:

• Advanced Statistical Inference II, 7.5 ECTS, Jun Yu, January 2024.
• Spread Measures, Sunflowers and Thresholds, 7.5 ECTS, Victor Falgas-Ravry, January-May 2024
• High Dimensional Density Estimation by HMM-VB for Clustering and Classification, 1.5 ECTS, Jia Li, May 20-22, 2024.
• Optimal Transport: Algorithms and Applications in Machine Learning, 1.5 ECTS, Jia Li, June 17-19, 2024.
• Constructions in Ramsey and Sparse Turán Theory, 7.5 ECTS, Victor Falgas-Ravry, June-December 2024.  
• Advanced Techniques in Probabilistic Combinatorics, 10 ECTS, Victor Falgas-Ravry, June-December 2024.
• Advanced Probability Theory, 7.5 ECTS, Jun Yu, September-October, 2024
• Fundamental Mathematical Models in Evolution, 7.5 ECTS, Eric Libby, October 2024.
• Nonlinear Dynamics and Chaos, 7.5 ECTS, Eric Libby, October 2024.

The following courses were given in 2023:

• Introduction to Symmetries of Differential Equations, 4 ECTS, Fredrik Ohlsson, February - April
• Advanced Probability Theory, 7.5 ECTS, Jun Yu, April-June
• First-Order Methods in Optimization with Applications to Machine Learning, 7.5 ECTS, Alp Yurtsever, May - August
• Advanced Statistical Inference I, 7.5 ECTS, Jun Yu, October 2023.
• Discrete Modelling, 7.5 ECTS, Gerold Jäger & Jonas Westin, October-November 2023.
• Representation Theory, 7.5 ECTS, Axel Flinth & Fredrik Ohlsson, November-December 2023

Additional information:

• In addition to the courses above, there is a PhD student seminar series that can give you course credits.
• Information about the generic doctoral courses given by the Faculty of Science and Technology.
• Courses given by the University library.