Algebra and Geometry
The research program's breadth of expertise in numerous areas makes it unique in Sweden. The program is a strong center for physically inspired mathematics at the national level.
Our research in algebra and geometry presently undergoes rapid development by striking cross fertilisation between its two main areas but also through its strong interconnections with the quantum field theory and string theory of high energy physics. An example is mirror symmetry discovered in physics where homological algebra and related higher structures interact with symplectic and algebraic geometry.
We also conduct successful research in both commutative and non-commutative algebra. Our algebraists have contributed to the development of various directions of modern representation theory and homological algebra and applications to combinatorics and topology.
Conducting research in algebra
Conducting research in symplectic geometry
Conducting research in topology
The research programme has three active seminar series: algebra and geometry, geometry and physics and geometry and topology. The seminars are usually announced in the department's calendar.
Below you find links to algebra and geometry projects, hosted by the Department of Mathematics.
The Memory of Solitons (ERC Starting Grant, #851931, 2020-2025. P.I.: Michele Del Zotto)