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 and cryptography • Algebraic, symplectic and differential geometry • Algebraic topology and singularity theory • Computational mathematics and geometry of data • Dynamical systems and number theory • Operator algebras and free probability • Partial differential equations • Representation theory • 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.

Group contacts

Andrew Francis Swann

Professor

M swann@math.au.dk
H 1530, 331
P +4587155767

Jesper Funch Thomsen

Associate Professor

M funch@math.au.dk
H 1530, 417
P +4587155736

Coming activities

Conference (AarHomAlg)
20–22 July, 2022 | Aud. D1 (1531-113)
Geometric and combinatorial methods in homological algebra
Mathematics Seminar (AarHomAlg)
Wednesday, 27 July, 2022 | 14:15–15:15 | Aud. D3 (1531-215)
TBA
Dave Murphy (University of Glasgow)
Conference (AIAS)
1–2 September, 2022 | Aarhus Institute of Advanced Studies (AIAS)
Building(s) in Aarhus conference

Activity archive

News

12 May 2022

28 April 2022

08 February 2022

News archive

Recent publications

Stetkær, H. (2022). A Levi–Civita functional equation on semigroups. Aequationes Mathematicae, 96, 115-127. https://doi.org/10.1007/s00010-021-00865-z

Jørgensen, P. (2022). Abelian subcategories of triangulated categories induced by simple minded systems. Mathematische Zeitschrift, 301(1), 565-592. https://doi.org/10.1007/s00209-021-02913-5

Ciobotaru, C. & Mazza, C. (2022). Consistency and asymptotic normality of M-estimates of scatter on Grassmann manifolds. Journal of Multivariate Analysis, 190, [104998]. https://doi.org/10.1016/j.jmva.2022.104998

Christensen, J. & Thomsen, K. (2022). KMS states on the crossed product C^∗-algebra of a homeomorphism. Ergodic Theory and Dynamical Systems, 42(4), 1373-1414. https://doi.org/10.1017/etds.2020.141

Stetkær, H. (2022). Homomorphisms of Product Semigroups. Results in Mathematics, 77(2), [60]. https://doi.org/10.1007/s00025-022-01603-w

See full publication list

Project: Semiclassical Quantum Mechanics

Project: Symmetry Breaking in Mathematics

Project: Aarhus Homological Algebra

Project: Aarhus Diophantine Approximation

Group contacts

Andrew Francis Swann

Professor

M swann@math.au.dk
H 1530, 331
P +4587155767

Jesper Funch Thomsen

Associate Professor

M funch@math.au.dk
H 1530, 417
P +4587155736

Faculty

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

Alexandra-Iulia Otiman

Assistant Professor, AIAS-COFUND Fellow

Differential Geometry

Anders Nedergaard Jensen

Associate professor

Computer algebra, applied algebraic geometry, computational tropical geometry

Andrew du Plessis

Associate professor

$Andrew Francis Swann$

Andrew Francis Swann

Professor

Differential geometry, Lie groups; connections to physics and data

$Cristiano Spotti$

Cristiano Spotti

Associate professor

Differential and Algebraic Geometry, Geometric PDEs.

Erik Skibsted

Associate professor

Mathematical physics, PDEs, spectral and scattering theory of Schroedinger operators

$Gergely Bérczi$

Gergely Bérczi

Associate professor

Algebraic geometry, Algebraic topology

$Greg Stevenson$

Greg Stevenson

Associate professor

Homotopy theory, commutative algebra, representation theory

$Henrik Garde$

Henrik Garde

Tenure Track Assistant Professor

PDE governed inverse and ill-posed problems, computational mathematics

$Jacob Schach Møller$

Jacob Schach Møller

Head of Department

Spectral Theory, Mathematical Physics

$Jan Frahm$

Jan Frahm

Associate Professor

Lie groups, representation theory, harmonic analysis

Jesper Funch Thomsen

Associate professor

Algebraic geometry, non-commutative algebra, representation theory.

Klaus Thomsen

Professor with Special Responsibilities

operator algebras, dynamical systems, K-theory

Marcel Bökstedt

Professor

Homotopy theory, K-theory, Differentiable manifolds, Configuration spaces

$Niels Lauritzen$

Niels Lauritzen

Associate professor

Algebraic geometry, non-commutative geometry, computational algebra

$Peter Jørgensen$

Peter Jørgensen

DNRF Chair 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

Associate professor

Number theory, Diophantine approximation, dynamical systems, ergodic theory

Sira Helena Gratz

Associate professor

$Søren Fournais$

Søren Fournais

Professor

Mathematical Physics, Spectral Theory, Many-Body Quantum Mechanics

$Zakarias Sjöström Dyrefelt$

Zakarias Sjöström Dyrefelt

Tenure Track Assistant Professor, AIAS-COFUND Fellow

Complex geometry, Differential geometry, Pluripotential theory, Canonical metrics in Kähler geometry.

$Abdellah Lahdili$

Abdellah Lahdili

Postdoc

Differential Geometry, Geometric Analysis.

$Amit Shah$

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

$Anders Sten Kortegård$

Anders Sten Kortegård

PhD Student

Algebra, Quivers, Homological Algebra, Category Theory

Carlo Klapproth

PhD Student

Higher homological algebra, homological conjectures

Charley Cummings

Postdoc

Representation theory, homological algebra, derived categories, finite dimensional algebras, and the homological conjectures.

$Corina-Gabriela Ciobotaru$

Corina-Gabriela Ciobotaru

Assistant Professor, AIAS-COFUND Fellow

Geometric Group Theory: CAT(0) spaces, totally disconnected locally compact groups, unitary representations

$David Lindemann$

David Lindemann

Postdoc

Differential geometry, centro-affine geometry, Lie groups, Einstein metrics

$Esther Mae Banaian$

Esther Mae Banaian

Postdoc

Cluster Algebras, Frieze Patterns, Finite-Dimensional Algebra, Teichmuller Theory

Federico Giusti

PhD Student

Complex Geometry, Special non-Kähler Metrics, Strominger system, Hermitian Curvature Flows

$Francesco Pediconi$

Francesco Pediconi

Postdoc

Real and Complex Differential Geometry, Lie groups and Lie algebras, Geometric Analysis.

Frederik Juul Bang-Jensen

PhD Student

Lie groups, Branching Laws for Real Reductive Lie groups, Representation theory.

Helene Hauschultz

PhD Student

Manifold Learning

$Jenny August$

Jenny August

Postdoc

Homological algebra, representation theory, algebras from birational geometry

Jonas Møller Svendsen

PhD Student

Non-reductive GIT, enumerative geometry

Jonathan Ditlevsen

PhD Student

Lie groups, representation theory

Karin Jacobsen

Postdoc

Representation theory of algebras, (higher) homological algebra, frieze patterns, continuous representations, tilting theory, gentle algebras

$Léo Paul David Morin$

Léo Paul David Morin

Postdoc

Mathematical Physics, Spectral Theory, Many-Body Quantum Systems, Semiclassical Analysis, Magnetic Fields

Lukas Bjarke Engberg

PhD Student

Kähler Geometry, Hybrid Geometry, Singular Metrics.

Lukas Junge

PhD Student

Mathematical Physics, Many-body quantum mechanics, Bose-Einstein condensation, Spectral theory and Spectral geometry.

$Marco Olivieri$

Marco Olivieri

Postdoc

Many Body Quantum Systems, Quantum Field Theory, Quantum Electrodynamics, Semiclassical Analysis, Spectral Theory

$Mathias Løkkegaard Laursen$

Mathias Løkkegaard Laursen

PhD Student

Number theory, Diophantine approximations

Michael Alexander Hallam

Postdoc

Complex geometry, K-stability, canonical Kähler metrics.

$Polyxeni Spilioti$

Polyxeni Spilioti

Postdoc

Harmonic analysis on locally symmetric spaces, trace formulas, dynamical zeta functions of Ruelle and Selberg, refined analytic torsion, prime geodesic theorems

Quentin Labriet

Postdoc

Representation theory of Lie groups, Branching problems, Harmonic analysis.

$Théotime Pierrot Girardot$