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The Mathematics Group

The mathematics group at the Department of Mathematics, Aarhus University, is an active and internationally recognized research unit. We carry out research in a wide selection of areas of mathematics and its applications. This includes:

  • Algebra • Algebraic, complex, symplectic and differential geometry  • Algebraic topology and homological algebra • Computational mathematics • Dynamical systems • Geometric invariant theory • Geometric and algebraic representation theory • Harmonic analysis •  Inverse problems • Number theory • Operator algebras and free probability • Partial differential equations • Spectral theory and mathematical physics.

The mathematics group has active collaborations both nationally and internationally and with many other scientific fields, including Computer Science, Engineering and Physics.

Coming activities

Monday 26 February 2024 16:15–18:00 Aud. D1 (1531-113)
Information meeting (WoMAn)
Sondre Kvamme (NTNU)
Wednesday 28 February 2024 16:15–17:15 Koll. G3 (1532-218)
Mathematics Seminar (AarHomAlg)
Joseph Grant (University of East Anglia)
Wednesday 13 March 2024 16:15–17:15 Koll. G3 (1532-218)
Mathematics Seminar (AarHomAlg)
Viktoria Klasz (University of Bonn)
Wednesday 3 April 2024 16:15–17:00 Koll. G3 (1532-218)
Mathematics Seminar (AarHomAlg)
Davide Morigi (Aarhus University)
Wednesday 17 April 2024 16:15–17:00 Koll. G3 (1532-218)
Mathematics Seminar (AarHomAlg)

Faculty

The links take you to the personal homepage in AU's system (pure), where you find publications and contact information.

Permanent Faculty

Tenure Track Assistant Professor, AIAS-COFUND Fellow
Differential Geometry
Associate professor
Computer algebra, applied algebraic geometry, computational tropical geometry
Andrew Francis Swann
Professor
Differential geometry, Lie groups; connections to physics and data
Cristiano Spotti
Professor
Complex Geometry, Algebraic Geometry, Differential Geometry, Geometric PDEs.
Associate professor
Mathematical physics, PDEs, spectral and scattering theory of Schroedinger operators
Fabrice Baudoin
Professor
Dirichlet forms, Differential geometry, Random matrices, Stochastic analysis
Gergely Bérczi
Associate professor
Algebraic geometry, Algebraic topology
Greg Stevenson
Associate professor
Homotopy theory, commutative algebra, representation theory
Henrik Garde
Associate Professor
Inverse problems, computational mathematics, applied analysis, PDEs
Jacob Schach Møller
Head of Department
Mathematical Physics, Spectral Theory, Renormalization
Jan Frahm
Associate Professor
Lie groups, representation theory, harmonic analysis
Associate professor
Algebraic geometry, non-commutative algebra, representation theory.
Professor
Homotopy theory, K-theory, Differentiable manifolds, Configuration spaces
Niels Lauritzen
Associate professor
Algebraic geometry, non-commutative geometry, computational algebra
Paul David Nelson
Villum Investigator, Professor
Analytic number theory, automorphic forms, representation theory, L-functions, microlocal analysis
Peter Jørgensen
DNRF Chair Professor
Algebra, combinatorics
Sergey Arkhipov
Associate professor
Geometric representation theory, D-modules, derived algebraic geometry, homological and homotopical algebra, DG-categories and algebraic operads.
Simon Kristensen
Professor
Number theory, Diophantine approximation, dynamical systems, ergodic theory
Sira Helena Gratz
Associate professor
homological algebra, finite dimensional algebras, cluster combinatorics
Steen Thorbjørnsen
Associate professor
Free probability theory, random matrices, Lévy processes, operator algebras.
Zakarias Sjöström Dyrefelt
Tenure Track Assistant Professor, AIAS-COFUND Fellow
Complex geometry, Differential geometry, Pluripotential theory, Canonical metrics in Kähler geometry.

Temporary Faculty and PhD Students

Amit Shah
Postdoc
Representation theory of algebras, (classical/higher) homological algebra, category theory, (co)torsion theories, cluster categories, cluster-tilting theory, Auslander–Reiten theory, cluster algebras
Anders Sten Kortegård
PhD Student
Algebra, Quivers, Homological Algebra, Category Theory
PhD Student
Complex and algebraic geometry
PhD Student
Higher homological algebra, homological conjectures
Postdoc
Representation theory, homological algebra, derived categories, finite dimensional algebras, and the homological conjectures.
Christian Arends
Postdoc
Harmonic analysis, spectral analysis, representation theory of Lie groups
Corina-Gabriela Ciobotaru
Associate professor
Geometric Group Theory: CAT(0) spaces, totally disconnected locally compact groups, unitary representations
PhD Student
David Lindemann
Postdoc
Differential geometry, centro-affine geometry, Lie groups, Einstein metrics
David Terrence Nkansah
PhD Student
Homological algebra, Representation theory of quivers and algebras, Cluster theory, Differentially graded categories
Davide Morigi
Postdoc
Homological algebra, cluster algebras, quiver mutations
Esther Mae Banaian
Postdoc
Cluster Algebras, Frieze Patterns, Finite-Dimensional Algebra, Teichmuller Theory
Felix Minddal
PhD Student
Higher Algebra, (Derived) Algebraic Geometry
PhD Student
Lie groups, Branching Laws for Real Reductive Lie groups, Representation theory.
Gaëtan Kuhn
PhD Student
Geometric group theory, p-adic Lie groups
PhD Student
Lie groups, representation theory
Postdoc
Representation theory of algebras, (higher) homological algebra, frieze patterns, continuous representations, tilting theory, gentle algebras
Li Chen
Associate Professor
Harmonic analysis, PDEs, Stochastic analysis
Maiken Balman Gravgaard
PhD Student
Number theory, Diophantine approximation
Mathias Løkkegaard Laursen
PhD Student
Number theory, Diophantine approximations
Postdoc
Complex geometry, K-stability, canonical Kähler metrics.
Postdoc
Postdoc
Representation theory of Lie groups, Branching problems, Harmonic analysis.
Raphael Jacob M Bennett-Tennenhaus
Postdoc
Representations of algebras, homological algebra, model-theoretic algebra
Postdoc
Guest PhD
Algebraic topology, triangulated categories, n-angulated categories, representation theory
PhD Student
Stochastic analysis on Riemannian manifolds, Convexity on Riemannian manifolds
Postdoc

Emeriti and Honorary Staff

Emeritus accociate professor
category theory, differential geometry
Emeritus associate professor
Bent Ørsted
Emeritus professor
Harmonic analysis, representation theory, differential geometry, global analysis
Emeritus associate professor
number theory, mathematical physics
Henrik Stetkær
Emeritus associate professor
Harmonic analysis, functional equations
Emeritus professor
Lie theory, algebraic groups, representation theory
Emeritus associate professor
Combinatorics
Emeritus professor
operator algebras, dynamical systems, K-theory
Michael Steenstrup Vogelius
Honorary professor
Mathematical analysis, partial differential equations, numerical analysis