# Research at the Department of Mathematics

The Department of Mathematics consists of three divisions, mathematics, mathematical statistics and computational mathematics.

At the division of Mathematics research is carried out in areas such as algebra, analysis, geometry and mathematical logic. At the division of Mathematical Statistics, research is carried out in areas such as biostatistics, financial mathematics, chemometrics and probability theory. The division of Computational Mathematics works with mathematical modeling and method development for the study of systems, encompassing mathematical proof structures as well as physical structures spanning from the molecular to the planetary level.

# Research Groups

- Research group in Algebra, Geometry, Topology, and Combinatorics The research group in algebra, geometry, topology, and combinatorics is active in several areas of these fields including, commutative and homological algebra, complex and real algebraic geometry as well as arithmetic geometry, homotopy theory, Ramsey theory and a number of other topics.
- Research group in Analysis Mathematical analysis deals generally with problems that involve questions like how does a quantity develop, that is, how does it depend on variables/parameters? In our group we are mainly working in operator theory, in particular, differential operators, as well as in complex analysis.
- Research group in Computational Mathematics The division of Computational Mathematics works with mathematical modeling and method development for the study of systems, encompassing mathematical proof structures as well as physical structures spanning from the molecular to the planetary level.
- Research group in Mathematical Logic Logic as an academic subject is the study of reasoning, and mathematical logic is the study of mathematical reasoning its various precise forms. The research group in mathematical logic is active in several areas of the field including, constructive mathematics, type theory and category-theoretic logic, as well as the philosophical aspects of logic and mathematics.
- Research group in Mathematical Statistics The research in mathematical statistics comprises probability theory and statistical inference theory with applications in many domains. Our research group interest has focus on the applications in biostatistics (in particular genetics, epidemic spread, neural systems), climatology, econometrics, finance and insurance. Several people in the group are interested in probabilistic modelling and analysis of random networks (and more generally of discrete probability).

## Research contacts

**Head of the department**

Joanna Tyrcha, room 316, joanna@math.su.se Ph. +46 8 164567

**Deputy head of the department, Head of the division of mathematics**

Jonas Bergström, room 410. jonasb@math.su.se Ph. +46 8 164563

**Head of the division of mathematical statistics**

Filip Lindskog, room 307, lindskog@math.su.se Ph. +46 8 164564

**Director of studies for PhD studies in mathematics**

Alexander Berglund, room 414. alexb@math.su.se Ph. +46 8 164537

**Director of studies for PhD studies in mathematical statistics**

Mia Deijfen, room 322. mia@math.su.se Ph. +46 8 164591