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,
Senior Lecturer
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.
Sven Raum,
Senior lecturer
My research interest concerns the interaction between operator algebras, group theory and representation theory. The major link between these topics is created by group operator algebras, such as the reduced group C*-algebras or the group von Neumann algebra, both associated with an arbitrary locally compact group. Next to research mathematics, my professional interests include didactics of higher education and learning different languages.
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.
Sofia Tirabassi,
Senior Lecturer
My research focuses in algebraic geometry. More precisely, in this moment, my interests can be divided in two main branches. On one side I aim to recover geometric and arithmetic information from the derived category of coherent sheaves of a smooth projective variety, paying particular attention to varieties defined over field of positive characteristic. On the other side I am working on a cohomological characterization of semi-abelian varieties.

Graduate Students and Postdocs

Johan Alm,
Postdoc
 
Hadrien Espic,
PhD student
 
Tobias Grøsfjeld,
PhD student
 
Louis Hainaut,
PhD student
 
Asaf Horev,
Postdoc
 
Valentijn Karemaker,
Postdoc
My research is in arithmetic geometry and number theory . In particular I study rational points on, zeta functions of, and Galois representations attached to algebraic varieties.
Oliver Krüger,
PhD student
Combinatorics
Lionel Lang,
Postdoc
 
Oliver Leigh,
Postdoc
 
Erik Lindell,
PhD student
 
Lisa Nicklasson,
PhD student
Commutative algebra
Sanaz Pooya,
Postdoc
 
Stefan Reppen,
PhD student
 
Bashar Saleh,
PhD student
Topology
Tomas Zeman,
Postdoc
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.