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
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. 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
Future Principal Investigators
Prof. Dr. Ana Botero
Prof. Dr. Fabian Hebestreit
Mercator Fellows
Prof. Dr. Amnon Neeman
Prof. Dr. Maryna Viazovska
Investigators
Francisco Araujo
A2: Algebraic and arithmetic aspects of aperiodicity
Dr. Edgar Assing
B1: Theta lifts and equidistribution
Dr. Patrick Bieker
C6: Stratifying derived categories over arbitrary bases
C8: Cohomological structures of hyper-Kähler varieties
Dr. Gabriele Bogo
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
B1: Theta lifts and equidistribution
Dominik Brennecken
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
Dr. Annika Burmester
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
C1: Hyper-Kähler varieties and moduli spaces
Lars Bügemannskemper
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
Dr. Ilaria Castellano
B4: Geodesic flows and Weyl chamber flows on affine buildings
Dr. Teresa Conde
C6: Stratifying derived categories over arbitrary bases
Sebastian Degen
A7: Matroids, codes, and their $q$-analogues
Dr. Benjamin Delarue
B2: Spectral theory in higher rank and infinite volume
Alena Ernst
A3: Codes and designs
Dr. Salvatore Floccari
C1: Hyper-Kähler varieties and moduli spaces
C8: Cohomological structures of hyper-Kähler varieties
Benedikt Fluhr
C6: Stratifying derived categories over arbitrary bases
Dr. Lennart Gehrmann
B6: Equivariant cohomology and Shimura varieties
Dr. Wassilij Gnedin
C3: Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry
Jan Mathis Grumbach
A3: Codes and designs
Dr. Fabian Gundlach
A4: Combinatorial Euler products
A2: Algebraic and arithmetic aspects of aperiodicity
Anna Guntermann
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
Shi He
C1: Hyper-Kähler varieties and moduli spaces
Heike Herr
C2: Hereditary categories, reflection groups, and non-commutative curves
Dr. Manuel Hoff
C8: Cohomological structures of hyper-Kähler varieties
Dr. Max Hoffmann
Dr. Andrew Hubery
A6: Zeta functions of integral quiver representations
C2: Hereditary categories, reflection groups, and non-commutative curves
Abhijit Aryampilly Jayanthan
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
Daniel Kahl
B4: Geodesic flows and Weyl chamber flows on affine buildings
Dr. Paul Kiefer
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
B1: Theta lifts and equidistribution
C1: Hyper-Kähler varieties and moduli spaces
PD Dr. Markus Kirschmer
A2: Algebraic and arithmetic aspects of aperiodicity
Lukas Klawuhn
A3: Codes and designs
Johannes Krah
C7: Derived splinters and full exceptional collections
Lukas Langen
A3: Codes and designs
Dr. Jan-Paul Lerch
C4: Counting points on quiver Grassmannians
Dr. Janina Letz
C6: Stratifying derived categories over arbitrary bases
C7: Derived splinters and full exceptional collections
Daniel Luz
A2: Algebraic and arithmetic aspects of aperiodicity
Dr. Pablo Magni
C7: Derived splinters and full exceptional collections
C1: Hyper-Kähler varieties and moduli spaces
C8: Cohomological structures of hyper-Kähler varieties
Dr. Alexandre Maksoud
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
Bianca Marchionna
A4: Combinatorial Euler products
Dr. Luigi Martinelli
C7: Derived splinters and full exceptional collections
Dr. Stepan Maximov
A5: Affine Kac–Moody groups: analysis, algebra, and arithmetic
Carl Mazzanti
C1: Hyper-Kähler varieties and moduli spaces
Sarah Meier
B6: Equivariant cohomology and Shimura varieties
Leonie Mühlherr
A7: Matroids, codes, and their $q$-analogues
Dr. Georges Neaime
A3: Codes and designs
C2: Hereditary categories, reflection groups, and non-commutative curves
Mingyu Ni
C3: Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry
Simon Paege
C8: Cohomological structures of hyper-Kähler varieties
Marcel Palmer
C2: Hereditary categories, reflection groups, and non-commutative curves
Dr. Efthymia Papageorgiou
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
Christopher J. Parker
C6: Stratifying derived categories over arbitrary bases
Daniel Perniok
C2: Hereditary categories, reflection groups, and non-commutative curves
Dr. Carsten Peterson
B4: Geodesic flows and Weyl chamber flows on affine buildings
B3: Spherical harmonic analysis of affine buildings and Macdonald theory
Dr. Moritz Petschick
A6: Zeta functions of integral quiver representations
Nicolas Potthast
A4: Combinatorial Euler products
Dr. Alexander Pütz
C4: Counting points on quiver Grassmannians
Praful Rahangdale
A5: Affine Kac–Moody groups: analysis, algebra, and arithmetic
Dr. Karthika Rajeev
A6: Zeta functions of integral quiver representations
Tomas Reunbrouck
A1: The structure of (almost) lattices – algebra, analysis, and arithmetic
Dr. Kyungmin Rho
C3: Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry
Dr. Juan Omar Gomez Rodriguez
C6: Stratifying derived categories over arbitrary bases
Noam von Rotberg
A4: Combinatorial Euler products
Paul Schneider
B4: Geodesic flows and Weyl chamber flows on affine buildings
Charly Schwabe
C2: Hereditary categories, reflection groups, and non-commutative curves
Dr. Beranger Seguin
A4: Combinatorial Euler products
Luca Speciale
B5: $p$-adic $L$-functions, $\mathcal L$-invariants and the cohomology of arithmetic groups
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
Dr. Hongwei Zhang
B2: Spectral theory in higher rank and infinite volume
Dr. Haitao Zou
C8: Cohomological structures of hyper-Kähler varieties