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.

- Three mathematicians are awarded project grants by the Independent Research Fund Denmark (2021.05.07)
- Peter Jørgensen receives DNRF Chair from the Danish National Research Foundation (2021.01.07)
- Henrik Garde, new Tenure Track Assistant Professor in Mathematics (2020.08.04)
- Peter Jørgensen new Professor in Mathematics (2020.07.01)
- Søren Fournais receives DFF Forskningsprojekt 2 grant (2020.05.18)

Gallardo, P., Martinez-Garcia, J. & Spotti, C. (2021). Applications of the moduli continuity method to log K-stable pairs. *Journal of the London Mathematical Society*, *103*(2), 729-759. https://doi.org/10.1112/jlms.12390

Juhl, A. & Orsted, B. (2020). Shift operators, residue families and degenerate Laplacians. *Pacific Journal of Mathematics*, *308*(1), 103-160. https://doi.org/10.2140/pjm.2020.308.103

Stetkaer, H. (2021). The small dimension lemma and d'Alembert's equation on semigroups. *Aequationes Mathematicae*, *95*(2), 281-299. https://doi.org/10.1007/s00010-020-00746-x

Ørsted, B. & Vargas, J. A. (2020). Branching problems in reproducing kernel spaces. *Duke Mathematical Journal*, *169*(18), 3477-3537. https://doi.org/10.1215/00127094-2020-0032

Dam, T. N. & Møller, J. S. (2020). Spin-boson type models analyzed using symmetries. *Kyoto Journal of Mathematics*, *60*(4), 1261-1332. https://doi.org/10.1215/21562261-2019-0062

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

Algebraic Geometry, Enumerative Geometry (Gromov-Witten theory, Donaldson-Thomas theory) Mirror symmetry, Derived Algebraic Geometry, Mathematics of String theory.

Associate professor

Tenure Track Assistant Professor

PDE governed inverse and ill-posed problems, computational mathematics

Associate professor

Algebraic geometry, non-commutative algebra, representation theory.

Professor with Special Responsibilities

Operator algebras, dynamical systems, K-theory

Associate professor

Algebraic geometry, non-commutative geometry, computational algebra

Associate professor

Associate professor

Number theory, Diophantine approximation, dynamical systems, ergodic theory

Postdoc

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

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

Complex geometry, Kähler geometry, K-stability, canonical metrics, perturbation problems

Postdoc

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

Postdoc

Mathematical Physics, Nonlinear Analysis, Spectral Theory, Quantum Field Theory, Condensed Matter Physics, Polarons, Magnetic Fields.

Emeritus professor

Harmonic analysis, representation theory, differential geometry, global analysis