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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

Associate professor
Computer algebra, applied algebraic geometry, computational tropical geometry
Professor
Differential geometry, Lie groups; connections to physics and data
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
Differential and Algebraic Geometry, Geometric PDEs.
Associate professor
Algebraic geometry, Algebraic topology
Head of Department
Spectral Theory, Mathematical Physics
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
Associate professor
Algebraic geometry, non-commutative geometry, computational algebra
Associate professor
Number theory, Diophantine approximation, dynamical systems, ergodic theory
Professor
Mathematical Physics, Spectral Theory, Many-Body Quantum Mechanics

Temporary faculty and PhD students

Postdoc
Mathematical Physics, Quantum Field Theory, Renormalisation, Scattering theory
PhD Student
Manifold Learning
Postdoc
Operator algebras, dynamical systems, ergodic theory.
PhD Student
Lie groups, representation theory
Postdoc
Complex geometry, Kähler geometry, K-stability, canonical metrics, perturbation problems
PhD Student
Kähler Geometry, Hybrid Geometry, Singular Metrics.
Postdoctoral Scholar
Representation Theory, Algebraic Geometry, Mathematical Physics.
Postdoc
Noncommutative geometry, Batalin-Vilkovisky formalism, Quantum Field Theory

Emeriti and Alumni

Associate professor
Harmonic analysis, functional equations
Professor
Lie theory, algebraic groups, representation theory