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Research at the Department of Mathematics and Mathematical Statistics

We have around 80 active scientists at all levels; From PhD students to postdocs, assistant professors, senior lecturers, and full professors. We mainly conduct research in six complementary research domains.

Our research domains

The Computational Mathematics research group today. From the left: Balaje Kalyanaraman, hantiram Mahata, Karl Larsson, Siyang Wang, Jonatan Vallin, Andreas Granath, Carl Lundholm and Mats G Larson.
Computational Mathematics

Research on novel computational methods for the solution of partial and stochastic differential equations.

Complex Algorithm
Discrete Mathematics

More about our research in Discrete Mathematics.

Hjärna mörkblå bakgrund
Mathematical Foundations of Artificial Intelligence

About our research in Mathematical Foundations of Artificial Intelligence

Bild på griffeltavla med matematiska formler
Mathematical Modeling and Analysis

More about our research in Mathematical Modeling and Analysis

Stockfoto för att illustrera statistik och kvantitativ data
Mathematical Statistics

More about our research in Mathematical Statistics.

Polyederorigami som ett sätt att utforska geometri genom praktiskt arbete.
Geometry

More about our research in Geometry.

The daily work is carried out within one or several of our research groups. For example, we have innovative research groups in

Geometric Deep Learning
Group theory

In addition to the research domains above, individual researchers are also working in mathematical didactics at Umeå Mathematics Education Research Centre (UMERC).

Recent publications

Computer Methods in Applied Mechanics and Engineering, Elsevier 2027, Vol. 463, (B)
Kumar, Mukesh; Kvamsdal, Trond; Larson, Mats G.; et al.
Nature Communications, Nature Portfolio 2026, Vol. 17, (1)
Leal-Garza, Luis Mario; Zachrisson, Hanna; Dvirnas, Albertas; et al.
European Journal of Political Research
Morrison, Kelly; Lundstedt, Martin; Sato, Yuko; et al.
Latest update: 2026-10-09