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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.

Coming activities

News

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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
Associate professor
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.
Associate professor
Differential and Algebraic Geometry, Geometric PDEs.
Associate professor
Associate professor
Algebraic geometry, Algebraic topology
Tenure Track Assistant Professor
PDE governed inverse and ill-posed problems, computational mathematics
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
DNRF Chair Professor
Algebra, combinatorics
Associate professor
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
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
Higher homological algebra, homological conjectures
Postdoc
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.
PhD Student
Manifold Learning
Postdoc
Homological algebra, representation theory, algebras from birational geometry
PhD Student
Non-reductive GIT, enumerative geometry
PhD Student
Lie groups, representation theory
Postdoc
Postdoc
Mathematical Physics, Spectral Theory, Many-Body Quantum Systems, Semiclassical Analysis, Magnetic Fields
PhD Student
Kähler Geometry, Hybrid Geometry, Singular Metrics.
PhD Student
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.

Emeriti and honorary

Emeritus professor
Harmonic analysis, representation theory, differential geometry, global analysis
Emeritus associate professor
Number theory, mathematical physics
Emeritus associate professor
Harmonic analysis, functional equations
Emeritus professor
Lie theory, algebraic groups, representation theory
Emeritus associate professor
Combinatorics