# Research group 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.

## Group description

Research in commutative and homological algebra at the mathematics department was initiated in the late 1960s by Jan-Erik Roos, Christer Lech and Jan-Erik Björk. They gradually built a strong group in this area including, in particular, C.Löfwall, R.Fröberg, Ch.Gottlieb, J.Backelin. Studies of algebraic and tropical geometry, homotopy theory and operads were later strengthened by T.Ekedahl, M.Passare, and S.Merkulov. Some of the present research efforts in the group may be regarded as a continuation of the activities of this internationally recognized research group. At the same time new members of the group broaden the number of research directions which now additionally include e.g. stable homotopy theory, moduli spaces, number theory, Langlands program, to mention a few.

## Seminars

Seminar in algebra and geometry (joint with KTH)

Topological activities (joint with KTH)

Problem solving seminar in commutative algebra

## Group members

### Group managers

Boris Shapiro

Professor

### Members

Gregory Arone

Professor

Jörgen Backelin

Docent, emeritus

Alexander Berglund

Docent

Jonas Bergström

Docent, Stf prefekt

Rikard Bögvad

Professor

Sjoerd Wijnand de Vries

Doktorand

Ralf Fröberg

Professor emeritus

Wushi Goldring

Universitetslektor

Christian Gottlieb

Docent, emeritus

Håkan Granath

Universitetslektor

Tobias Grøsfjeld

Doktorand

Louis Hainaut

PhD

Dimitry Leites

Professor, Emeritus

Erik Lindell

Doktorand

Samuel Lundqvist

Docent, Universitetslektor

Dan Petersen

Universitetslektor

Stefan Reppen

PhD

Torbjörn Tambour

Docent, Emeritus

Sofia Tirabassi

Universitetslektor