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.

Baudoin, F., Gordina, M., Herzog, D., Kim, J. & Melcher, T. (2023). *Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise*.

Ruiz, P. A. & Baudoin, F. (2023). *Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies*.

Baudoin, F., Demni, N. & Wang, J. (2023). Generalized Stochastic Areas, Winding Numbers, and Hyperbolic Stiefel Fibrations. *International Mathematics Research Notices*, *2023*(9), 7925-7960. https://doi.org/10.1093/imrn/rnac072

Baudoin, F. & Chen, L. (2022). A note on second order Riesz transforms in 3-dimensional Lie groups. *ARCHIV DER MATHEMATIK*, *118*(3), 291-304. https://doi.org/10.1007/s00013-021-01699-6

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

Associate professor

Computer algebra, applied algebraic geometry, computational tropical geometry

Professor

Complex Geometry, Algebraic Geometry, Differential Geometry, Geometric PDEs.

Associate professor

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

Professor

Dirichlet forms, Differential geometry, Random matrices, Stochastic analysis

Associate Professor

Inverse problems, computational mathematics, applied analysis, PDEs

Associate professor

Algebraic geometry, non-commutative algebra, representation theory.

Associate professor

Algebraic geometry, non-commutative geometry, computational algebra

Villum Investigator, Professor

Analytic number theory, automorphic forms, representation theory, L-functions, microlocal analysis

Associate professor

Geometric representation theory, D-modules, derived algebraic geometry, homological and homotopical algebra, DG-categories and algebraic operads.

Professor

Number theory, Diophantine approximation, dynamical systems, ergodic theory

Associate professor

homological algebra, finite dimensional algebras, cluster combinatorics

Associate professor

Free probability theory, random matrices, Lévy processes, operator algebras.

Tenure Track Assistant Professor, AIAS-COFUND Fellow

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

Postdoc

Representation theory of algebras, (classical/higher) homological algebra, category theory, (co)torsion theories, cluster categories, cluster-tilting theory, Auslander–Reiten theory, cluster algebras

Postdoc

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

Associate professor

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

PhD Student

PhD Student

Homological algebra, Representation theory of quivers and algebras, Cluster theory, Differentially graded categories

Postdoc

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

PhD Student

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

Postdoc

Postdoc

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

Postdoc

PhD Student

Postdoc

Representations of algebras, homological algebra, model-theoretic algebra

Postdoc

Guest PhD

Algebraic topology, triangulated categories, n-angulated categories, representation theory

Postdoc

PhD Student

Stochastic analysis on Riemannian manifolds, Convexity on Riemannian manifolds

Postdoc

Emeritus associate professor

Emeritus professor

Harmonic analysis, representation theory, differential geometry, global analysis

Honorary professor

Mathematical analysis, partial differential equations, numerical analysis