Doctoral courses at the Department of Mathematics (MAI)
Here you will find a compilation of current and recently offered doctoral courses at the Department of Mathematics (MAI).
Current doctoral courses
Autumn semester 2025
Computational Mathematics
Differential Geometry and Meshing for Scientific Computing
This course has dual focus. On the more theoretical side, students will examine differential geometry and its use in the design of approximations for curved domains in the context of partial differential equations. Therein, student will learn how to recover continuous properties of the mapping on the discrete level. On the more algorithmic side, students will explore how one divides a complex domain into a set of simpler "elements" that compose a mesh. Beyond the initial mesh creation, students will explore how to measure and improve mesh "quality".
For more information visit Differential Geometry and Meshing for Scientific Computing, 6.0 hp or contact the examiner Andrew Winters (andrew.winters@liu.se).
The course will start in HT2, i.e., the second half of the fall 2025.
Planned doctoral courses
Spring semester 2026
Mathematics
Graph Theory
Course starts in Week 4.
For more information, visit the course page or contact examiner Carl Johan Casselgren: carl.johan.casselgren@liu.se
Optimization
Nonlinear Optimization
Course starts in April.
Contact examiner Chuan He for more information: chuan.he@liu.se
Discrete Optimization
Course start will be announced later.
For more information, visit the course page or contact examiner Torbjörn Larsson: torbjorn.larsson@liu.se
Autumn semester 2026
Network Optimization
Matrix Analysis
Course start in September 2026. For more information, visit the course website or contact examiner Göran Bergqvist (goran.bergqvist@liu.se).
Autumn semester 2026/2027
Probability Theory 1
Probability Theory 2
Recently offered courses
Spring semester 2025
Mathematics
Online Course: Orbifolds
From 6 February to 10 April, 2025, the Spanish Topology Network organised an online course for anyone interested in orbifolds. The lecturers presented a selection of the most relevant results concerning orbifolds and how these objects appear in various mathematical areas. Contact Milagros Izquierdo (milagros.izquierdo@liu.se) for more information.
Mathematical Statistics
MAI0137 Applied Statistical Methods
The course in applied statistical methods was offered in spring 2025.
Optimization
Discrete Optimization
A course in discrete optimization was offered in spring 2025. More information will follow. Contact Torbjörn Larsson torbjorn.larsson@liu.se if interested.
Mathematics Education
Theory in Subject-Didactic Research
A course on scientific theories and their application in subject-didactic research was offered in spring 2025. For more information, contact Peter Frejd peter.frejd@liu.se.
Autumn semester 2024
Mathematics
Optimization
Spring semester 2024
Mathematics
Module theory and homological algebra, 8.0 credits
The course continued during autumn 2024.
