The members of the Research group consists of permanent staff, graduate students and postdocs as well as emeriti.

Currently in charge of the group

Boris Shapiro,
Professor
Commutative algebra, real algebraic geometry

Permanent Staff

Gregory Arone,
Professor
Topology
Alexander Berglund,
Senior Lecturer
My research revolves around interactions between algebraic topology and commutative algebra. I am particularly interested in algebraic models for homotopy types, Koszul duality for algebras over operads and homology of commutative rings.
Jonas Bergström,
Senior Lecturer
My research is in algebraic geometry and centers around the moduli spaces of curves and abelian varieties. In particular I would like to understand the cohomology of such spaces and their connection to modular forms.
Rikard Bögvad,
Professor
My research interests center around algebraic theories of differential equations, and their use in algebraic geometry, e. g. algebraic D-module theory (how to interpret topology in terms of DE) or asymptotic behaviour of zero-sets of solutions to parameter dependent systems of DE.
Wushi Goldring,
Senior Lecturer
Arithmetic algebraic geometry
Håkan Granath,
Senior Lecturer
My research in number theory centers around so called Shimura varieties, in particular explicit computations concerning associated moduli problems, related modular forms, and periods.
Samuel Lundqvist,
Research Engineer
My research in computational algebra concerns commutative and non-commutative Gröbner bases, vanishing ideals of points, graded Lie algebras, and Boolean rings.
Dan Petersen,
Senior Lecturer
Topology of algebraic varieties, moduli spaces, Hodge theory and arithmetic.
Torbjörn Tambour,
Senior Lecturer
My research interest is algebra, especially representation theory and invariant theory. I am also involved in a research project in mathematics education about algebra in elementary school.

Graduate Students and Postdocs

Gabrielle Baletti,
PhD student
Polytopes, commutative algebra
Kaj Börjeson, PhD student I am a PhD student at in the topology group. My advisor is Alexander Berglund. My research centers around questions in topology and algebra, especially topics connected to rational homotopy theory, Hochschild cohomology, operads and BV-algebras.
Hadrien Espic,
PhD student
 
Matthias Grey,
Postdoc
 
Tobias Grøsfjeld,
PhD student
 
Andreas Holmström,
Postdoc
Number theory, algebraic geometry, homotopy theory and representation theory. More specifically, I study zeta functions, lambda-rings and Tannakian symbols arising in all these areas. I also think about automated conjecturing and automated proofs.
Oliver Krüger,
PhD student
Combinatorics
Lionel Lang,
Postdoc
 
Stefano Marseglia,
PhD student
My research areas are algebraic geometry and algebraic number theory. At the moment I am working on:
  • Effective methods to count isomorphism classes of polarized abelian varieties over finite fields;
  • Ideal Class Monoid of orders in Number Fields.
Gleb Nenashev,
PhD student
Commutative algebra and graph theory
Lisa Nicklasson,
PhD student
Commutative algebra
Petra Poklukar,
PhD student
Topology
Bashar Saleh,
PhD student
Topology
Benjamin Ward,
Postdoc
 
Felix Wierstra,
PhD student
Topology

Emeriti

Jörgen Backelin,
Senior Lecturer
Commutative algebra and combinatorics
Ralf Fröberg,
Professor
Commutative algebra
Christian Gottlieb,
Senior Lecturer
My area of research is commutative algebra. I have mainly been concerned with the theory of noetherian rings and modules and made some research on chain conditions, lengths, generating sets of ideals etc.
Ralf Fröberg,
Professor
Commutative algebra
Dmitry Leites,
Professor
I am working on various aspects of supersymmetry and their applications. Some of them are unexpected, e.g., EVERY differential equation possesses a supersymmetry (this phenomenon is manifest in terms of Cartan's exterior differential systems). I intend to describe the Lie superalgebras of classical equations of mathematical physics.
Jan-Erik Roos,
Professor
Commutative and non-commutative algebra