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.

Asadollahi, J., Jørgensen, P., Schroll, S. & Treffinger, H. (2022). On higher torsion classes. *Nagoya Mathematical Journal*, *248*, 823-848. https://doi.org/10.1017/nmj.2022.8

August, J. & Wemyss, M. (2022). Stability conditions for contraction algebras. *Forum of Mathematics, Sigma*, *10*, [e73]. https://doi.org/10.1017/fms.2022.65

Jørgensen, P. & Yakimov, M. (2022). Green groupoids of 2-Calabi–Yau categories, derived Picard actions, and hyperplane arrangements. *Transactions of the American Mathematical Society*, *375*(11), 7981-8031. https://doi.org/10.1090/tran/8770

Juhl, A. & Ørsted, B. (2022). Residue families, singular Yamabe problems and extrinsic conformal Laplacians. *Advances in Mathematics*, *409*(Part A), [108634]. https://doi.org/10.1016/j.aim.2022.108634

Elliott, G. A., Sato, Y. & Thomsen, K. (2022). On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra. *Communications in Mathematical Physics*, *393*(2), 1105-1123. https://doi.org/10.1007/s00220-022-04386-x

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

Associate professor

Associate professor

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

Tenure Track Assistant Professor

PDE governed inverse and ill-posed problems, computational mathematics

Associate professor

Algebraic geometry, non-commutative algebra, representation theory.

Associate professor

Algebraic geometry, non-commutative geometry, computational algebra

Associate 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.

Associate professor

Number theory, Diophantine approximation, dynamical systems, ergodic theory

Associate professor

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.

Assistant Professor, AIAS-COFUND Fellow

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

PhD Student

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

Postdoc

Postdoc

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

PhD Student

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

PhD Student

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

Postdoc

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

Postdoc

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

PhD Student

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

Postdoc

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

Postdoc

Representations of algebras, homological algebra, model-theoretic algebra

Guest PhD

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

Postdoc

Mathematical Physics,
Many-body quantum mechanics,
Bose-Einstein condensation,
Semiclassical Analysis,
Physics of anyons.

Emeritus professor

Harmonic analysis, representation theory, differential geometry, global analysis