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.

- Peter Jørgensen new Professor in Mathematics (2020.07.01)
- Søren Fournais receives DFF Forskningsprojekt 2 grant (2020.05.18)
- Andrew F. Swann appointed Professor of Mathematics (2020.05.01)
- Johannes Christensen receives a DFF- International Postdoc grant (2020.02.28)
- Artan Sheshmani receives Sapere Aude: DFF-Forskningsleder grant (2019.11.20)

Bley, G. A. & Fournais, S. (2020). The magnetic Scott correction for relativistic matter at criticality. *Journal of Mathematical Physics*, *61*(6), [062102]. https://doi.org/10.1063/5.0007903

Duff, T., Hill, C., Jensen, A., Lee, K., Leykin, A. & Sommars, J. (2019). Solving polynomial systems via homotopy continuation and monodromy. *IMA Journal of Numerical Analysis*, *39*(3), 1421-1446. https://doi.org/10.1093/imanum/dry017

Stetkær, H. (2020). More about Wilson’s functional equation. *Aequationes Mathematicae*, *94*(3), 429-446. https://doi.org/10.1007/s00010-019-00654-9

Brietzke, B., Fournais, S. & Solovej, J. P. (2020). A Simple 2nd Order Lower Bound to the Energy of Dilute Bose Gases. *Communications in Mathematical Physics*, *376*, 323–351. https://doi.org/10.1007/s00220-020-03715-2

Fournais, S. & Madsen, P. S. (2020). Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields. *Annales Henri Poincare*, *21*(5), 1401-1449. https://doi.org/10.1007/s00023-019-00880-6

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

Associate professor

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

Professor

Harmonic analysis, representation theory, differential geometry, global analysis

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

Number theory, Diophantine approximation, dynamical systems, ergodic theory

Postdoc

Mathematical Physics, Quantum Field Theory, Renormalisation, Scattering theory

Postdoc

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

Postdoctoral Scholar

Representation Theory, Algebraic Geometry, Mathematical Physics.

Postdoc

Noncommutative geometry, Batalin-Vilkovisky formalism, Quantum Field Theory