جست‌وجوی استاد و پژوهشگر

Daniel Grovesمشاهده پروفایل

استاد

• Geometric Group Theory
• Hyperbolic Geometry
• Low-Dimensional Topology
• +۳ مورد دیگر

Professor Daniel Groves is an academic at the University of Illinois Chicago (UIC), holding a position in the Department of Mathematics, Statistics, and Computer Science. His research focuses on Geometric Group Theory, with a particular emphasis on hyperbolic groups, relatively hyperbolic groups, and their applications to low-dimensional topology. He has organized significant conferences such as 'Cube complexes and 3-manifolds' (2013) and 'Geometric group theory and logic' (2011). Groves has secured funding from the National Science Foundation (NSF) through grants like DMS-2203343, DMS-1904913, and others, supporting his work on geometric group theory and related areas. His research has led to advancements in understanding limit groups, Dehn filling, and the structure of hyperbolic groups. Despite his extensive contributions, no formal student advisees are listed in the provided texts. His collaborations include notable mathematicians like Ian Agol, Jason Manning, and Henry Wilton. Key research highlights include foundational work on relatively hyperbolic groups, Makanin-Razborov diagrams, and the isomorphism problem for toral relatively hyperbolic groups. His publications often intersect with geometric topology, exploring topics like cubulations, boundaries of groups, and quasi-convex subgroups. Groves' work frequently addresses algorithmic questions, such as detecting free splittings and conjugacy classes of solutions in hyperbolic groups.

Eduard Scheslerمشاهده پروفایل

پژوهشگر

• Geometric Group Theory
• Euclidean Buildings
• Hyperbolic Spaces
• +۶ مورد دیگر

Dr. Eduard Schesler is a Postdoc in the Group on Topology and Geometric Group Theory at the Karlsruhe Institute of Technology , under the guidance of Roman Sauer. He previously held positions at institutions such as Fudan University, Erwin-Schrödinger Institute, and FernUniversität Hagen. PhD (2020), Universität Bielefeld (advisor: Stefan Witzel) Master’s (2016) and Bachelor (2014), HHU Düsseldorf (advisor: Oleg Bogopolski) His research focuses on geometric group theory , particularly groups acting on Euclidean buildings, hyperbolic spaces, and rooted trees. Key interests include finiteness properties, amenability, hyperbolicity, profinite completions, and asymptotic geometric/probabilistic behavior. Recent publications explore topics like sigma-invariants, just-infinite groups, and fibering of commutator subgroups in right-angled Coxeter groups. He received the Editors' Choice Award (2023) for his paper in Archiv der Mathematik. He has taught courses including Mathematik II (2025) and authored a 543-page Group Theory textbook with Steffen Kionke. He co-organized mathematical events like the Math Academy for children in Düsseldorf (2016–2017).

Jason Manningمشاهده پروفایل

استاد

• Algebra
• Topology
• Geometric Group Theory
• +۳ مورد دیگر

Jason Fox Manning is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences and the Department of Mathematics. His research focuses on geometric group theory and geometric topology, particularly exploring hyperbolic groups, Dehn fillings, and low-dimensional topology. Manning holds a Ph.D. from the University of California, Santa Barbara (2003) and has advised graduate students Teddy Einstein and Drew Zemke. He teaches courses such as Theoretical Linear Algebra and Calculus (MATH 2240) and Riemannian Geometry (MATH 6620). His work is supported by Simons Foundation Collaboration Grants. Recent research emphasizes boundaries of hyperbolic groups, stability of group actions, and cubulation techniques in geometric contexts. Education: Ph.D. in Mathematics, University of California, Santa Barbara (2003). Research Interests: Geometric group theory, geometric topology, hyperbolic geometry, low-dimensional topology, and applications to 3-manifolds. His studies investigate hyperbolic structures, group actions on boundaries, and the interplay between algebraic properties and geometric constructions. Advising & Grants: Supported by Simons Foundation grants, Manning has mentored students and contributed to foundational work in geometric group theory. Courses include advanced topics in geometry and topology.

Inhyeok Choiمشاهده پروفایل

استادیار

• Topology
• Probability and Statistics
• Low-dimensional geometry and topology
• +۶ مورد دیگر

Inhyeok Choi serves as the Harry Kesten Assistant Professor in the Department of Mathematics at Cornell University's College of Arts and Sciences. He maintains a concurrent research position at the Korea Institute for Advanced Study (KIAS) and is scheduled to participate in events at SLMath during Spring 2026. His academic journey includes completing his Ph.D. in 2023 at KAIST under the supervision of Professor Hyungryul Baik. Dr. Choi's research program centers on geometric group theory and low-dimensional topology, with particular emphasis on how groups act dynamically on various metric spaces. His work bridges several mathematical domains including random walks on groups, entropy of dynamical systems, and length spectra of manifolds. He has developed significant expertise in studying contracting elements within groups and their implications for understanding the geometry of group actions. His publication record reveals a consistent research trajectory focused on genericity problems in geometric group theory, with particular attention to pseudo-Anosov maps in mapping class groups, contracting geodesics, and random processes on non-positively curved spaces. His work demonstrates sophisticated integration of probabilistic methods with geometric structures, yielding fundamental insights about the behavior of groups in various mathematical contexts. Dr. Choi has presented his research extensively at international venues across North America, Europe, and Asia. Upcoming engagements include presentations at Warwick University, Münster University, and Sorbonne University, reflecting his active participation in the global mathematical community. His scholarly contributions have appeared in top-tier journals including Geometry & Topology, Advances in Mathematics, and Inventiones Mathematicae. As an educator, Dr. Choi teaches undergraduate mathematics courses at Cornell University, including Math 3040 'Prove It!' and Math 1110 'Calculus I'. He previously served as a teaching assistant for multiple mathematics courses at KAIST, demonstrating commitment to mathematical education at both the undergraduate and graduate levels. His professional philosophy emphasizes inclusivity in mathematics, as evidenced by his public support for statements promoting diversity and inclusion within the mathematical community.

Alexandre Martinمشاهده پروفایل

دانشیار

• Geometric Group Theory
• Nonpositively Curved Spaces
• Artin Groups
• +۳ مورد دیگر

Alexandre Martin is an Associate Professor in the Department of Mathematics at Heriot-Watt University, within the School of Mathematical & Computer Sciences. He specializes in geometric group theory, focusing on the algebraic and geometric structure of Artin and Coxeter groups through their actions on nonpositively curved spaces. His roles include Year 3 Coordinator and Student-Staff Liaison Convenor for the Mathematics Department, and he co-leads the North British Geometric Group Theory network with Laura Ciobanu. He serves as an editor for the Proceedings of the Edinburgh Mathematical Society . Education: Bachelor’s/Master’s: École Normale Supérieure (Paris), 2006–2010 PhD: University of Strasbourg (France), 2010–2013 Research interests include hyperbolicity, geometric structures, and the interplay between algebraic properties of groups and their geometric representations. His work often explores CAT(0) spaces, hierarchical hyperbolicity, and residual finiteness in mapping class groups. Notable grants include an EPSRC New Investigator Award (2019–2022) for studying the Geometry of Artin Group Actions . His research outputs (22+ articles) span topics like acylindrical hyperbolicity, large-type Artin groups, and applications of combinatorial topology. Professional activities include organizing conferences on geometric group theory and mentoring early-career researchers through collaborative networks.

• Geometric group theory
• Coarse geometry
• Non-positively curved spaces
• +۱۲ مورد دیگر

Alice Kerr is a Research Fellow at the Max Planck Institute for Mathematics in the Sciences (MPI-MIS) in Leipzig, Germany, within the Geometry, Groups, and Dynamics research group, where she conducts advanced research in geometric structures and group theory. Her research program centers on geometric group theory with emphases on: Coarse geometry of non-positively curved spaces Generalizations of hyperbolic groups Rough isometries and coarse embeddings Group growth phenomena Acylindrically hyperbolic groups (including right-angled Artin groups, mapping class groups, and graph products) Coarse median spaces (encompassing trees, quasi-trees, and CAT(0) cube complexes) Within the Geometry, Groups, and Dynamics research group, she actively contributes to collaborative investigations of large-scale geometric properties of algebraic structures, developing novel frameworks for understanding metric and combinatorial aspects of group actions.

Henry Bradfordمشاهده پروفایل

مدرس

• Asymptotic Group Theory
• Expander Graphs
• Cayley Graphs
• +۵ مورد دیگر

Henry Bradford is a Lecturer and Fellow at Christ’s College, University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics. His research focuses on asymptotic group theory, including expander graphs, Cayley graphs, word maps, and residual finiteness. He completed his DPhil at the University of Oxford in 2015 and held a postdoctoral research position at the University of Göttingen from 2016 to 2019. His work explores lawlessness quantification, local embeddings into finite groups, and properties like LEF and soficity. His publications span topics such as mixed identities in finite groups, stability in permutations, and diameter bounds in branch groups. He supervises undergraduate research projects and collaborates with mathematicians like Jakob Schneider, Andreas Thom, and Daniele Dona. His recent preprints highlight non-solutions to group equations and arbitrary lawlessness growth. His advising includes projects on uniform diameter bounds and asymptotic group theory. He is reachable via email at hb470@cam.ac.uk and maintains a personal homepage on WordPress.