Department of Mathematics

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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 • Automorphic forms • Computational mathematics • Dynamical systems • Geometric Group Theory • Geometric invariant theory • Geometric, algebraic and analytic representation theory • Harmonic analysis •  Inverse problems • Number theory • Operator algebras and free probability • Partial differential equations • Spectral theory and mathematical physics • Stochastic Analysis.

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

Section Coordinator

Sira Helena Gratz

Associate Professor Department of Mathematics
M
H 1530, 428
P +4587151798

Recent publications

Khalid, S. & Dyrefelt, Z. S. (2026). Wall–chamber decompositions for generalised Monge–Ampère equations. Journal of the London Mathematical Society, 114(1), Article e70616. https://doi.org/10.1112/jlms.70616
Assing, E., Blomer, V. & Nelson, P. D. (2026). Local analysis of the Kuznetsov formula and the density conjecture. Journal des Mathematiques Pures et Appliquees, 214, Article 103954. https://doi.org/10.1016/j.matpur.2026.103954
Minddal, F. (2026). Virtual K-theoretic invariants of the nested Hilbert scheme on $\mathbb{C}^2$.
Droschl, J. (2026). On modular representations of inner forms of GLn over a local non-archimedean field. Selecta Mathematica, New Series, 32(3), Article 58. https://doi.org/10.1007/s00029-026-01171-9
Gravgaard, M. & Lee, Y. W. (2026). Decomposition of real numbers into sums of Lüroth sets. International Journal of Number Theory. Advance online publication. https://doi.org/10.1142/S1793042126500958

Project: Aarhus Homological Algebra

Project: Aarhus Diophantine Approximation

Project: Categories, Clusters and Completions

Project: Aarhus Algebraic Geometry

Project: Geometry and Representation Theory of Locally Compact Groups

Project: Canonical Metrics in Complex Geometry

Project: Aarhus Automorphic Forms

Project: Complex Calderón Problem

Project: Conformal Geometry: Metrics and cohomology

Project: Special metrics in Kähler geometry

Project: Aarhus Operator Algebra Group

Project: Random Dynamics and Geometric Analysis

Faculty

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

Permanent Faculty

Alexandra-Iulia Otiman
Associate Professor
Differential Geometry
Anders Nedergaard Jensen
Associate Professor
Computer algebra, applied algebraic geometry, computational tropical geometry
Andrew Francis Swann
Andrew Francis Swann
Professor
Differential geometry, Lie groups; connections to physics and data
Corina-Gabriela Ciobotaru
Corina-Gabriela Ciobotaru
Associate Professor
Geometric Group Theory: CAT(0) spaces, totally disconnected locally compact groups, unitary representations
Cristiano Spotti
Cristiano Spotti
Professor
Complex Geometry, Algebraic Geometry, Differential Geometry, Geometric PDEs.
Erik Skibsted
Associate Professor
Mathematical physics, PDEs, spectral and scattering theory of Schroedinger operators
Fabrice Baudoin
Fabrice Baudoin
Professor, Villum Investigator
Dirichlet forms, Differential geometry, Random matrices, Stochastic analysis
Gergely Bérczi
Gergely Bérczi
Associate Professor
Algebraic geometry, Algebraic topology
Greg Stevenson
Greg Stevenson
Associate Professor
Homotopy theory, commutative algebra, representation theory
Henrik Garde
Henrik Garde
Associate Professor
Inverse problems, computational mathematics, applied analysis, PDEs
Jacob Schach Møller
Jacob Schach Møller
Professor
Mathematical Physics, Spectral Theory, Renormalization
Jan Frahm
Jan Frahm
Associate Professor
Lie groups, representation theory, harmonic analysis
Jesper Funch Thomsen
Associate Professor
Algebraic geometry, non-commutative algebra, representation theory.
Li Chen
Li Chen
Associate Professor
Harmonic analysis, PDEs, Stochastic analysis
Niels Lauritzen
Niels Lauritzen
Associate Professor
Algebraic geometry, non-commutative geometry, computational algebra
Paul David Nelson
Paul David Nelson
Professor, Villum Investigator
Analytic number theory, automorphic forms, representation theory, L-functions, microlocal analysis
Peter Jørgensen
Peter Jørgensen
Professor
Algebra, combinatorics
Sergey Arkhipov
Sergey Arkhipov
Associate Professor
Geometric representation theory, D-modules, derived algebraic geometry, homological and homotopical algebra, DG-categories and algebraic operads.
Simon Kristensen
Simon Kristensen
Professor
Number theory, Diophantine approximation, dynamical systems, ergodic theory
Sira Helena Gratz
Sira Helena Gratz
Associate Professor
homological algebra, finite dimensional algebras, cluster combinatorics
Steen Thorbjørnsen
Steen Thorbjørnsen
Associate Professor
Free probability theory, random matrices, Lévy processes, operator algebras.
Zakarias Sjöström Dyrefelt
Zakarias Sjöström Dyrefelt
Associate Professor
Complex geometry, Differential geometry, Pluripotential theory, Canonical metrics in Kähler geometry.

Temporary Faculty and PhD Students

Alexandre Yann Benoît Reber
PhD Student
Stochastic analysis, Differential geometry, SPDEs
Andreas Duerlund Rasmussen
PhD Student
Operator algebras
Andres David Gomez Villegas
PhD Student
Complex and algebraic geometry
Anjali Shriwastawa
Anjali Shriwastawa
Postdoc
Analysis on metric measure spaces, Functional inequalities on homogeneous groups, sub-Riemannian geometry (with a focus on sub-Finsler geometry)
Armando Gutiérrez Terradillos
Armando Gutiérrez Terradillos
Postdoc
Automorphic representations, integral representations of L-functions, Poisson summation conjecture.
Blanca Gil Rosell
Blanca Gil Rosell
PhD Student
Analytic number theory, representation theory
David Johansson
David Johansson
Postdoc
Inverse problems, PDEs
Erlend Due Børve
Postdoc
Esben Hjort Bonnerup
PhD Student
Geometric Group Theory
Felix Minddal
Felix Minddal
PhD Student
Algebraic Geometry, Enumerative Geometry, The Hilbert Scheme of Points
Giacomo Perri
Giacomo Perri
PhD Student
Complex differential geometry, special metrics, LCK geometry
Giuseppe Barbaro
Giuseppe Barbaro
Postdoc
Complex differential geometry: special metrics on Hermitian non-Kähler manifolds, evolution of geometric flows, non-Kähler Calabi-Yau geometries.
Hongyi Chen
Postdoc
Stochastic Analysis, Partial Differential Equations, Differential and Fractal Geometry
Johannes Carl Droschl
Postdoc
My main scientific interests lie in the local and global Langlands program. They include the study of local and global L-functions, (modular) representation theory of p-adic groups, and the Deligne-Langlands correspondence
Johannes Christensen
Johannes Christensen
Associate Professor
Operator algebras, dynamical systems
Killian Sylvestre
PhD Student
Complex Geometry, Differential Geometry, Pluripotential theory, Canonical metrics in Kähler Geometry, Algebraic Geometry, Geometric PDEs, Condensed Mathematics.
Knut Ville Nordström
Postdoc
Homological algebra, Algebraic geometry, DG categories, Hochschild homology
Maiken Balman Gravgaard
Maiken Balman Gravgaard
PhD Student
Number theory, Diophantine approximation
Marius Fischer
Marius Fischer
PhD Student
Automorphic forms
Meng Yang
Postdoc
Analysis on fractals and metric measure spaces
Michael Coons
Visiting Professor
Oskar Nicolaj Press Mathiasen
PhD Student
Peter Vang Uttenthal
Peter Vang Uttenthal
Postdoc
Number theory, representation theory
Recep Özkan
Postdoc
Algebraic Geometry, Modular Forms, Random Geometry, Mathematical and Statistical Foundations of Machine Learning, Large Deviations of Deep Neural Networks
Sivaram Petchimuthu
Postdoc
Søren Kjærsgaard
PhD Student
Analysis/SDEs on fractals
Teije Kuijper
PhD Student
Stochastic analysis on Riemannian manifolds, Convexity on Riemannian manifolds
Thanasis Zacharopoulos
Thanasis Zacharopoulos
Postdoc
Inverse problems, PDEs, harmonic and geometric analysis

Emeriti and Honorary Staff

Anders Kock
Associate Professor Emeritus
category theory, differential geometry
Andrew du Plessis
Associate Professor Emeritus
Bent Ørsted
Bent Ørsted
Professor Emeritus
Harmonic analysis, representation theory, differential geometry, global analysis
Hans Anton Salomonsen
Associate Professor Emeritus
number theory, mathematical physics
Henrik Stetkær
Henrik Stetkær
Emeritus associate professor
Harmonic analysis, functional equations
Jens Carsten Jantzen
Professor Emeritus
Lie theory, algebraic groups, representation theory
Jørgen Brandt
Associate Professor Emeritus
Combinatorics
Klaus Thomsen
Professor Emeritus
operator algebras, dynamical systems, K-theory
Marcel Bökstedt
Professor Emeritus
Homotopy theory, K-theory, Differentiable manifolds, Configuration spaces
Michael Steenstrup Vogelius
Michael Steenstrup Vogelius
Honorary professor
Mathematical analysis, partial differential equations, numerical analysis
Peter Landrok
Emeritus professor
Cryptography
Søren Galatius
Honorary professor
Algebraic Topology
Revised 18.06.2026
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Lars Madsen