Principal Investigators
Prof. Dr. Claudia Alfes-Neumann
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
B1: Theta lifts and equidistribution
Prof. Dr. Michael Baake
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
A2: Algebraic and arithmetic aspects of aperiodicity
Jun.-Prof. Dr. Ignacio Barros
C1: Hyper-Kähler varieties and moduli spaces
PD Dr. Barbara Baumeister
A3: Codes and designs
C2: Hereditary categories, reflection groups, and non-commutative curves
Prof. Dr. Valentin Blomer
A4: Combinatorial Euler products
B1: Theta lifts and equidistribution
B2: Spectral theory in higher rank and infinite volume
Prof. Dr. Igor Burban
A5: Affine Kac–Moody groups: analysis, algebra, and arithmetic
C2: Hereditary categories, reflection groups, and non-commutative curves
C3: Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry
Prof. Dr. Kai-Uwe Bux
A5: Affine Kac–Moody groups: analysis, algebra, and arithmetic
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
B4: Geodesic flows and Weyl chamber flows on affine buildings
Prof. Dr. William Crawley-Boevey
A6: Zeta functions of integral quiver representations
C2: Hereditary categories, reflection groups, and non-commutative curves
C3: Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry
PD Dr. Hans Franzen
C4: Counting points on quiver Grassmannians
Prof. Dr. Helge Glöckner
A5: Affine Kac–Moody groups: analysis, algebra, and arithmetic
Prof. Dr. Joachim Hilgert
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
B4: Geodesic flows and Weyl chamber flows on affine buildings
Prof. Dr. Fabian Januszewski
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
C3: Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry
Prof. Dr. Jürgen Klüners
A2: Algebraic and arithmetic aspects of aperiodicity
A4: Combinatorial Euler products
Prof. Dr. Henning Krause
C6: Stratifying derived categories over arbitrary bases
C7: Derived splinters and full exceptional collections
Prof. Dr. Lukas Kühne
A7: Matroids, codes, and their $q$-analogues
Prof. Dr. Eike Lau
C6: Stratifying derived categories over arbitrary bases
C7: Derived splinters and full exceptional collections
C8: Cohomological structures of hyper-Kähler varieties
Prof. Dr. Margit Rösler
A3: Codes and designs
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
Dr. Julia Sauter
C4: Counting points on quiver Grassmannians
Prof. Dr. Kai-Uwe Schmidt
A3: Codes and designs
A7: Matroids, codes, and their $q$-analogues
Prof. Dr. Michael Spieß
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
B6: Equivariant cohomology and Shimura varieties
Prof. Dr. Charles Vial
C1: Hyper-Kähler varieties and moduli spaces
C7: Derived splinters and full exceptional collections
C8: Cohomological structures of hyper-Kähler varieties
Prof. Dr. Christopher Voll
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
A4: Combinatorial Euler products
A6: Zeta functions of integral quiver representations
Prof. Dr. Tobias Weich
B2: Spectral theory in higher rank and infinite volume
B4: Geodesic flows and Weyl chamber flows on affine buildings
Mercator Fellows
Prof. Dr. Amnon Neeman
Prof. Dr. Maryna Viazovska
Investigators
Dr. Edgar Assing
B1: Theta lifts and equidistribution
Dominik Brennecken
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
Kai Simon Bäuerle
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
Lars Bügemannskemper
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
Dr. Franz Gähler
A2: Algebraic and arithmetic aspects of aperiodicity
Dr. Elisa Hartmann
B4: Geodesic flows and Weyl chamber flows on affine buildings
Heike Herr
C2: Hereditary categories, reflection groups, and non-commutative curves
Daniel Kahl
B4: Geodesic flows and Weyl chamber flows on affine buildings
PD Dr. Markus Kirschmer
A2: Algebraic and arithmetic aspects of aperiodicity
Lukas Klawuhn
A3: Codes and designs
Lars Kleinemeier
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
Johannes Krah
C1: Hyper-Kähler varieties and moduli spaces
C7: Derived splinters and full exceptional collections
Dr. Janina Letz
C6: Stratifying derived categories over arbitrary bases
C7: Derived splinters and full exceptional collections
Dr. Tomasz Luks
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
Daniel Luz
A2: Algebraic and arithmetic aspects of aperiodicity
Dr. Alexandre Maksoud
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
Bianca Marchionna
A4: Combinatorial Euler products
Sarah Meier
B6: Equivariant cohomology and Shimura varieties
Leonie Mühlherr
A7: Matroids, codes, and their $q$-analogues
Simon Paege
C8: Cohomological structures of hyper-Kähler varieties
Nicolas Potthast
A4: Combinatorial Euler products
Dr. José Quintanilha
A5: Affine Kac–Moody groups: analysis, algebra, and arithmetic
Dr. Karthika Rajeev
A6: Zeta functions of integral quiver representations
Sören Sprehe
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
Dr. Marc Stephan
C6: Stratifying derived categories over arbitrary bases
C7: Derived splinters and full exceptional collections
Rebekka Strathausen
B1: Theta lifts and equidistribution
Dr. Charlene Weiß
A3: Codes and designs
Lasse Wolf
B2: Spectral theory in higher rank and infinite volume