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Katrin TentView profile

Professor

• Model theory
• Group theory
• Geometry
• +4 more

Professor Katrin Tent is a distinguished mathematician specializing in mathematical logic at the University of Münster, where she holds a professorship in the Faculty of Mathematics and Computer Science within the Institute for Mathematical Logic and Foundations Research. She is an active researcher in Mathematics Münster, an investigator in CRC 1442 Geometry: Deformations and Rigidity, and contributes to multiple research projects including Topics in Mathematics Münster T3: Models and universes, T4: Groups and actions, and T8: Random discrete structures and their limits. PhD in Linguistics, Christian-Albrechts-Universität zu Kiel (1988) Diplom in Mathematics, Christian-Albrechts-Universität zu Kiel (1989) PhD in Mathematics, University of Notre Dame (1994) Habilitation, "Model theory of groups and BN-pairs" (2000) Professor Tent's research bridges model theory, group theory, and geometry, with particular focus on finite Morley rank structures, BN-pairs, and sharply multiply transitive groups. Her work often combines methods from these areas to prove unexpected results, either constructing groups or incidence geometries with surprising model theoretic properties or using model theory to construct new and interesting geometries or groups. Her recent publications reveal a consistent trajectory connecting model theory with group-theoretic structures. She has made significant contributions to understanding sharply 2- and 3-transitive groups, finite Morley rank geometries, and the model theory of generalized polygons. Her work demonstrates how model-theoretic techniques can solve deep problems in group theory and geometry, particularly through the study of BN-pairs and incidence structures. DFG Research Fellowship (1996-1998) Bayerischer Habilitationsförderpreis (1998-2001) Heisenberg-Stipendium (2001-2004) ERC Consolidator Grants expert panel (2016, 2018) Elected to DFG Senate (2019) Professor Tent leads an active research group with current members including Marco Amelio, Dr. Benjamin Brück, Anna Cascioli, Lukas Jonuska, Silke Meissner, Zahra Mohammadi Khangheshlaghi, and Dr. Sam Shepherd. Her former research group members include Dr. Simon Andre, Dr. Isabel Müller, and Dr. Tim Clausen, among others. Her supervisory work spans both theoretical foundations and specific applications in geometric group theory and model theory. Her research group operates within the Institute for Mathematical Logic and Foundations Research at the University of Münster, collaborating closely with other researchers in the Mathematics Münster cluster. The group participates in various projects including CRC 1442 - C04: Group theoretic aspects of negative curvature, contributing to the vibrant mathematical research environment at one of Germany's leading mathematics institutions.

• Geometric Group Theory
• Algebraic Topology
• Coxeter Groups
• +3 more

Dr. Olga Varghese is a Lecturer and Academic Advisor at the University of Münster since 2025, with prior research roles at Heinrich-Heine Universität Düsseldorf (2023-2025) and OvGU Magdeburg (2021-2023) under DFG projects. She holds a PhD in Mathematics from the University of Münster (2010-2015) and has been a Postdoc there since 2015. Her research focuses on geometric group theory, particularly Coxeter groups, automorphism groups, and profinite properties, with significant contributions to group actions on CAT(0) spaces and graph products. Her recent work explores profinite rigidity, involutions in Coxeter groups, and automatic continuity in group actions. She has taught foundational and advanced courses in topology, algebra, and mathematics for natural sciences, with a strong emphasis on geometric group theory and algebraic structures. Current affiliations include the University of Münster's Department of Mathematics and Computer Science. Her publications span journals like Algebraic and Geometric Topology , Journal of Group Theory , and Geometriae Dedicata , reflecting her expertise in algebraic and geometric interplay.

Sam HughesView profile

Research Fellow

• Group Theory
• Topology
• Algebraic Topology
• +7 more

Sam Hughes is a Humboldt Research Fellow at the Mathematisches Institut of Rheinische Friedrich-Wilhelms-Universität Bonn, hosted by Professor Giles Gardam. His research focuses on interactions between group theory and topology, with interests in profinite rigidity, Kähler groups, ℓ²-invariants, and geometric group theory. He previously held positions at the University of Oxford (Postdoctoral Research Associate under Dawid Kielak) and the University of Southampton (PhD student under Ian Leary). His academic journey includes a PhD from the University of Southampton (2018–2021) and an MMath from the University of South Wales (2014–2018). He has been recognized with awards such as the Baer Prize (2022) and the BMC–BAMC 2021 poster prize. Hughes is actively involved in organizing conferences, including 'Modern Methods in Infinite Groups' and 'Profinite and Residual Methods Around Geometric Group Theory'. He has received grants from the Humboldt Foundation, Heilbronn Institute, and others. His teaching contributions include developing courses on profinite methods in geometric group theory and tutoring in algebraic topology and homological algebra. He has advised numerous students at the Oxford Master's and Part C levels, including award-winning projects. His research spans topics like lattices in CAT(0) spaces, BNSR invariants, and homological growth, with over 20 published works in top journals and venues.

• Group Theory
• Topology
• Set Theory
• +3 more

Sam Corson is a Ramon y Cajal Fellow (Research Fellow) at the Technical University of Madrid, specializing in the construction of unconventional mathematical structures at the intersection of group theory, topology, and set theory. His work resolves longstanding conjectures, such as the Cannon-Conner problem on fundamental groups of the harmonic archipelago and Griffiths double cone, and introduces novel objects like Artinian groups of arbitrary cardinality and Jonsson groups satisfying Babai’s infinitary edge orbit conjecture. His research interests emphasize automatic continuity (proving open kernels for homomorphisms from topological groups to hyperbolic/braid groups), wild topology (analyzing fundamental groups of non-locally simply connected spaces), and set-theoretic group theory (constructing groups under ZF axioms without choice). Key contributions include models of ZF where metric spaces fail paracompactness or torsion-free abelian groups lack bi-orderings, demonstrating deep interactions between logic and algebra. Recent publications (2021–2025) reveal a trend toward profinite rigidity in Coxeter groups, cardinality constraints in infinite groups, and geometric realizations of permutation actions. His work spans journals like Bulletin of the London Mathematical Society and Proceedings of the American Mathematical Society , often coauthored with Saharon Shelah and Olga Varghese. Scientific recognition includes: Ramon y Cajal Fellowship (prestigious Spanish postdoctoral award) With an Erdős number of 2, Corson collaborates extensively but has no documented advisees, teaching roles, or grants. His research operates within pure mathematics frameworks without applied lab structures or institutional teams beyond coauthor networks.

Claudio Llosa IsenrichView profile

Assistant Professor

• Geometric Group Theory
• Complex Geometry
• Kähler Groups
• +7 more

Claudio Llosa Isenrich is an Assistant Professor in the Institute of Algebra and Geometry at Karlsruhe Institute of Technology (KIT), leading a young research group in Complex Geometry and Geometric Group Theory since October 2020. His work bridges algebraic and geometric methods, with a focus on Kähler groups, finiteness properties, and Dehn functions. His research explores the interplay between Geometric Group Theory and Complex Geometry, particularly the study of fundamental groups of compact Kähler manifolds, constructions of Kähler manifolds, large-scale geometry of nilpotent groups, and rigidity properties of mapping class groups. He also investigates Dehn functions, finiteness properties, and subgroups of hyperbolic groups. His recent preprints and publications emphasize Dehn functions of subgroups, profinite rigidity of Kähler groups, and geometric properties of CAT(0) groups. He has received significant funding, including a Lise Meitner Postdoctoral Fellowship and the KIT Faculty Prize for Excellent Teaching, and has organized seminars and workshops like the GCD Seminar and Geometry Days with Heidelberg and Straßburg. His advisees include PhD student Jannis Weis and former PhD student Jeronimo Garcia Mejia, now at the University of Oxford.

• Geometric Group Theory
• Algebra
• Topology
• +5 more

Dr. Olga Varghese is a Lecturer and Academic Advisor in the Department of Mathematics and Computer Science at the University of Münster since 2025. Her primary research focuses on geometric group theory, algebra, and topology, with a strong emphasis on Coxeter groups, automorphism groups, and CAT(0) spaces. She has held postdoctoral positions at the University of Münster (2015–2020) and DFG-funded roles at Heinrich Heine University Düsseldorf (2023–2025) and OvGU Magdeburg (2021–2023). She also served as a visiting scholar at the University of Chicago (2012–2013). PhD in Mathematics (2010–2015) and earlier studies (2005–2010) at the University of Münster Her research explores profinite properties, parabolic subgroups, graph products, and fixed point theorems in CAT(0) spaces. She has taught courses in topology, algebra, and geometry, including lectures on foundational and advanced topics. Her academic advisory service guides MSc Mathematics students in course selection and degree structure. She has presented at conferences in Münster, Cambridge, Cáceres, and Bielefeld, focusing on profinite rigidity and subgroup classification. Her publications span journals like Algebraic and Geometric Topology , Journal of Group Theory , and Communications in Algebra , addressing coherence, hyperbolicity, and automorphism group properties.

• Geometric Group Theory
• Algebra
• Topology
• +7 more

Dawid Kielak is a Professor of Pure Mathematics at the University of Oxford's Mathematical Institute and a Tutorial Fellow in Pure Mathematics at Hertford College, Oxford. His research bridges Geometric Group Theory and Algebra, with a focus on group rings, cohomology, and ℓ²-invariants. He is a member of the Algebra and Topology research groups and holds an ERC Starting Grant 'Fibring' (2019). His work explores properties like Kazhdan's T, BNSR invariants, and fibring in groups. Education: PhD in Mathematics from the University of Oxford (supervised by Martin Bridson), Habilitation thesis at Bielefeld University on 'Free groups, RAAGs, and their automorphisms'. Research interests include geometric and algebraic aspects of groups, with applications to 3-manifolds, hyperbolic geometry, and representation theory. His recent work addresses conjectures in group theory (e.g., Surface Group Conjectures), expands on ℓ²-Betti numbers, and investigates profinite rigidity. Publications span topics like coboundary expanders, quasi-BNS invariants, and algebraically hyperbolic groups, reflecting a focus on geometric and algebraic interplay. His articles often connect abstract group theory to topological and homological methods. Awards: Whitehead Prize (2022), ERC Consolidator Grant (2024), and multiple DFG/ERC grants. Advising: Supervises DPhil students in geometric group theory and algebra, including Gargi Biswas and Will Thomas. Labs/Teams: Coordinates a research group focusing on group theory and topology, with collaborations on projects involving random groups, RAAGs, and automorphisms.

Raquel Murat GarcíaView profile

Researcher

• Group Theory
• Geometry
• Topology
• +3 more

Raquel Murat García is a researcher in the Geometry, Topology, and Group Theory research group at the Mathematisches Institut of Universität Münster. Her work focuses on the interplay between topology and geometric group theory, particularly applying condensed mathematics to study group cohomology for locally compact groups. She is active in academic service as a PhD representative (2024-2025) and mentor in the university's mentoring program for female master's students. Education: Master's degree in Mathematics (2024), Bachelor's degree in Mathematics (2021). Her master's thesis explored fibrations over coset spaces, while her bachelor's thesis addressed Wiener's lemma on convolution operators. Teaching roles include co-organizing a seminar on the Boone-Higman conjecture (SS25), tutoring in Locally Compact Groups (WS24/25), and teaching assistant roles in foundational analysis courses (SS24) and number theory (WS23/24). Recent academic activities include presenting at the 2024 Profinite Rigidity Workshop in Karlsruhe and the Bielefeld-Münster Seminar on Groups, Geometry, and Topology.

Holger KammeyerView profile

Assistant Professor

• Algebraic Topology
• Profinite Groups
• Arithmetic Groups
• +3 more

Holger Kammeyer is Junior Professor for Algebra and Geometry at Heinrich Heine University Düsseldorf's Mathematical Institute, within the Faculty of Mathematics and Natural Sciences. His research focuses on algebraic topology, profinite and arithmetic groups, and ℓ²-invariants. Kammeyer's research explores profinite group properties, arithmetic group invariants, ℓ²-Betti numbers, Galois cohomology applications, and geometric methods in group theory. He develops techniques for studying profinite rigidity of lattices in Lie groups and invariants of S-arithmetic groups. Recent work includes investigations of higher rank volume profiniteness, Euler characteristics of S-arithmetic groups, bounded cohomology as a profinite invariant, and Gassmann triples with special cycle types. His publications demonstrate expertise in both theoretical developments and educational materials, including textbooks on algebraic topology and ℓ²-invariants. As Principal Investigator in multiple research initiatives, Kammeyer leads projects on geometric structures in group theory and supervises doctoral students in algebra and number theory. He organizes research events including summer schools on analytic and arithmetic groups and conferences on the interface of group theory with geometry and topology.

• Geometric Group Theory
• Profinite Rigidity
• Coxeter Groups
• +4 more

Dr. Philip Möller is a Postdoctoral Researcher at the Heinrich Heine University Düsseldorf, affiliated with the Department of Algebra and Number Theory within the Faculty of Mathematics and Natural Sciences. His research focuses on Geometric Group Theory, Profinite Rigidity, Coxeter groups, and Locally Compact Groups. He has contributed to studies on automatic continuity, graph products of groups, and the interplay between algebraic structures and geometric/topological properties. His work frequently involves collaborations with mathematicians such as Olga Varghese and Samuel M. Corson. Dr. Möller has presented his research at international conferences like the Geometric Structures in Group Theory (Oberwolfach, 2025) and the Profinite Rigidity Workshop (Karlsruhe, 2024). He has also delivered talks on topics such as Profinite Rigidity of Crystallographic Groups and Automatic Continuity for Groups in Geometric Group Theory. In teaching, he has led tutorials for courses in Algebra, Analysis, and Mathematics for Computer Science at HHU Düsseldorf and the University of Münster. His academic contributions span preprints and peer-reviewed articles in journals like Journal of Algebra and Israel Journal of Mathematics . Beyond academia, Möller is actively involved in trampolining, serving as a coach and judge. He organizes regional judging courses and contributes to licensing programs through the Westfälischer Turnerbund (WTB).

Roman SauerView profile

Professor

• Topology
• Geometric Group Theory
• Geometric Topology
• +3 more

Prof. Dr. Roman Sauer is a Professor of Mathematics at Karlsruhe Institute of Technology (KIT), leading the Topology and Geometric Group Theory Group within the Institute of Algebra and Geometry. His research focuses on geometric topology, geometric group theory, and L²-invariants, with particular emphasis on manifolds, cohomology, and group actions. He has held roles such as Head of the Topology Group and contributed to foundational work on simplicial volume, bounded cohomology, and Kazhdan properties. Key research areas include the interplay between geometry and topology in manifolds, the study of arithmetic groups through profinite invariants, and applications of measure-theoretic methods to group theory. His work often bridges algebraic topology with geometric analysis, addressing questions about rigidity, stability, and quantitative invariants. Publications highlight contributions to L²-Betti numbers, geometric group actions, and the interplay between group properties and topological structures. Notable collaborations involve Uri Bader, Clara Löh, and others in advancing the field of geometric topology and related cohomological theories.