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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 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.

Faculty

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

Permanent Faculty

Assistant Professor, AIAS-COFUND Fellow
Differential Geometry
Associate professor
Computer algebra, applied algebraic geometry, computational tropical geometry
Associate professor
Andrew Francis Swann
Professor
Differential geometry, Lie groups; connections to physics and data
Cristiano Spotti
Associate professor
Differential and Algebraic Geometry, Geometric PDEs.
Associate professor
Mathematical physics, PDEs, spectral and scattering theory of Schroedinger operators
Gergely Bérczi
Associate professor
Algebraic geometry, Algebraic topology
Greg Stevenson
Associate professor
Homotopy theory, commutative algebra, representation theory
Henrik Garde
Tenure Track Assistant Professor
PDE governed inverse and ill-posed problems, computational mathematics
Jacob Schach Møller
Head of Department
Spectral Theory, Mathematical Physics
Jan Frahm
Associate Professor
Lie groups, representation theory, harmonic analysis
Associate professor
Algebraic geometry, non-commutative algebra, representation theory.
Professor with Special Responsibilities
operator algebras, dynamical systems, K-theory
Professor
Homotopy theory, K-theory, Differentiable manifolds, Configuration spaces
Niels Lauritzen
Associate professor
Algebraic geometry, non-commutative geometry, computational algebra
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
Associate professor
Number theory, Diophantine approximation, dynamical systems, ergodic theory
Associate professor
Søren Fournais
Professor
Mathematical Physics, Spectral Theory, Many-Body Quantum Mechanics
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

Abdellah Lahdili
Postdoc
Differential Geometry, Geometric Analysis.
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
Higher homological algebra, homological conjectures
Postdoc
Representation theory, homological algebra, derived categories, finite dimensional algebras, and the homological conjectures.
Corina-Gabriela Ciobotaru
Assistant Professor, AIAS-COFUND Fellow
Geometric Group Theory: CAT(0) spaces, totally disconnected locally compact groups, unitary representations
David Lindemann
Postdoc
Differential geometry, centro-affine geometry, Lie groups, Einstein metrics
Esther Mae Banaian
Postdoc
Cluster Algebras, Frieze Patterns, Finite-Dimensional Algebra, Teichmuller Theory
PhD Student
Complex Geometry, Special non-Kähler Metrics, Strominger system, Hermitian Curvature Flows
Francesco Pediconi
Postdoc
Real and Complex Differential Geometry, Lie groups and Lie algebras, Geometric Analysis.
PhD Student
Lie groups, Branching Laws for Real Reductive Lie groups, Representation theory.
PhD Student
Manifold Learning
Jenny August
Postdoc
Homological algebra, representation theory, algebras from birational geometry
PhD Student
Non-reductive GIT, enumerative geometry
PhD Student
Lie groups, representation theory
Postdoc
Representation theory of algebras, (higher) homological algebra, frieze patterns, continuous representations, tilting theory, gentle algebras
Léo Paul David Morin
Postdoc
Mathematical Physics, Spectral Theory, Many-Body Quantum Systems, Semiclassical Analysis, Magnetic Fields
PhD Student
Kähler Geometry, Hybrid Geometry, Singular Metrics.
PhD Student
Mathematical Physics, Many-body quantum mechanics, Bose-Einstein condensation, Spectral theory and Spectral geometry.
Marco Olivieri
Postdoc
Many Body Quantum Systems, Quantum Field Theory, Quantum Electrodynamics, Semiclassical Analysis, Spectral Theory
Mathias Løkkegaard Laursen
PhD Student
Number theory, Diophantine approximations
Postdoc
Complex geometry, K-stability, canonical Kähler metrics.
Polyxeni Spilioti
Postdoc
Harmonic analysis on locally symmetric spaces, trace formulas, dynamical zeta functions of Ruelle and Selberg, refined analytic torsion, prime geodesic theorems
Postdoc
Representation theory of Lie groups, Branching problems, Harmonic analysis.
Théotime Pierrot Girardot
Postdoc
Mathematical Physics, Many-body quantum mechanics, Bose-Einstein condensation, Semiclassical Analysis, Physics of anyons.

Emeritus and Alumni

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