جستجوی استاد راهنمای دانشگاهی

• Geometric Group Theory
• Discrete Groups
• Metric Geometry
• +۶ مورد دیگر

Goulnara Arzhantseva is a full Professor at the Department of Mathematics within the Faculty of Mathematics at the University of Vienna. With an active research career spanning over a decade, she has established herself as a prominent figure in geometric group theory and related fields. Her work demonstrates continuous scholarly output with publications appearing consistently from 2011 through 2024. Professor Arzhantseva's research focuses primarily on geometric group theory, with particular emphasis on discrete groups, metric geometry, approximation properties of groups, small cancellation theory, expanders, and sofic groups. Her work bridges pure mathematics with applications in metric geometry and functional analysis. The breadth of her research is evident in her collaborations with numerous mathematicians across different institutions and countries. Her publication record shows a clear trajectory of increasingly sophisticated work in geometric group theory. The most recent publications (2022-2024) focus on metric approximations of discrete groups, spectral gap properties, origami expanders, and acylindrical hyperbolicity in cubical small cancellation groups. These works represent cutting-edge research at the intersection of group theory, geometry, and combinatorics. Scientific Awards: Prize mentioned in search results (4 total, specific names not provided) Prize mentioned in search results (4 total, specific names not provided) Prize mentioned in search results (4 total, specific names not provided) Prize mentioned in search results (4 total, specific names not provided) Professor Arzhantseva has been actively involved in numerous research projects, with records showing 7 projects between 2011-2024. Her collaborative approach is evident in her extensive publication record, which includes significant contributions to prestigious mathematics journals. While specific details about her advising activities are not provided in the available information, her substantial research output suggests active mentorship of graduate students in geometric group theory.

Ruth Charneyمشاهده پروفایل

استاد

• Geometric Group Theory
• CAT(0) Spaces
• Hyperbolic Groups
• +۴ مورد دیگر

Ruth Charney holds the Theodore and Evelyn Berenson Professorship in Mathematics at Brandeis University. Her research specializes in geometric group theory, particularly CAT(0) spaces, hyperbolic groups, Artin groups, and automorphism groups. She earned her Ph.D. from Princeton University (1977) after undergraduate studies at Brandeis. She previously held positions at Ohio State University, Yale University, and UC Berkeley. Her foundational work explores geometric structures of groups, boundaries of metric spaces, and random group properties. Recent publications focus on outer space constructions for Artin groups, Morse boundary classifications, and acylindrical hyperbolicity in infinite-type groups. Honors include presidencies of the American Mathematical Society (2021-2023) and Association for Women in Mathematics (2013-2015), Polya Lectureship, and multiple fellowships. She has supervised 17 Ph.D. students and secured continuous NSF funding since 2011 for projects on automorphism groups and geometric structures. She organized major conferences including Artin groups workshops at MSRI and Oberwolfach, and serves on advisory boards for CRM Montreal, MSRI, and multiple NSF panels. Her outreach includes lectures at international conferences and programs advancing women in mathematics.

Sven Raumمشاهده پروفایل

استاد

• Operator Alge
• Group Theory
• Quantum Groups
• +۴ مورد دیگر

Prof. Dr. Sven Raum is Chair of Algebra at the University of Potsdam , Germany, within the Institute of Mathematics . His research focuses on operator algebras and their interactions with groups and group-like structures, including Hecke algebras, groupoids, quantum groups, and tensor categories. He leads the research group GOAT (Gruppen- und Operatoralgebren-Treffen), which includes postdocs Sanaz Pooya and Jonathan Taylor.

Ashot Minasyanمشاهده پروفایل

استاد

• Geometric Group Theory
• Combinatorial Group Theory
• Word Hyperbolic Groups
• +۴ مورد دیگر

Ashot Minasyan is a Professor of Pure Mathematics at the University of Southampton within the Faculty of Social Sciences, specializing in Geometric and Combinatorial Group Theory. His research is centered at the Pure Mathematics Centre for Geometry, Topology, and Applications. His primary research interests include Word Hyperbolic Groups, Relatively Hyperbolic Groups, Acylindrically Hyperbolic Groups, Small Cancellation Theory, and Profinite Topology on Groups. His work frequently explores separability properties, group actions on trees, and geometric structures in algebraic contexts. Minasyan's recent publications demonstrate significant contributions to understanding quasi-isometric diversity, virtual retractions, and exotic properties of acylindrically hyperbolic groups. His research shows consistent focus on subgroup separability, conjugacy problems, and structural properties of complex group systems. Emil Artin Junior Prize in Mathematics (2007) Bjarni Jónsson Prize (2005) He has secured multiple EPSRC-funded research projects including 'Profinite Topology on non-positively curved groups' and 'Recent Advances in Geometric Theory'. His teaching portfolio includes undergraduate courses such as Linear Algebra I, Geometry and Topology, Hyperbolic Geometry, and Complex Function Theory across various year levels.

Mark F Hagenمشاهده پروفایل

دانشیار

• Geometric group theory
• Hyperbolic geometry
• Cube complexes
• +۳ مورد دیگر

Dr. Mark F Hagen is an Associate Professor in the School of Mathematics at the University of Bristol. His research focuses on geometric group theory, hyperbolic geometry, and cube complexes. He has contributed extensively to understanding hierarchically hyperbolic spaces, CAT(0) cube complexes, and their applications to group automorphisms and 3-manifold groups. His recent work examines combinatorial structures of hierarchically hyperbolic spaces through projection complexes, barycentric mapping, and acylindrical hyperbolicity. Articles highlight quasi-isometric rigidity, convex-cocompact subgroups, and non-colorable group structures. Academic Affiliation: University of Bristol, School of Mathematics Education: PhD (McGill University), BSc (University of London) Email: mark.hagen@bristol.ac.uk

Thomas Haettelمشاهده پروفایل

مدرس ارشد

• Geometric Group Theory
• Nonpositive Curvature Geometry
• Metric Spaces
• +۳ مورد دیگر

Thomas Haettel is a Senior Lecturer at the University of Montpellier and IUT Montpellier-Sète since 2013. He is a Junior member of the Institut Universitaire de France (IUF) for 2025-2030. His academic affiliation spans the Faculty of Science's Department of Mathematics, where he contributes to research and teaching. His research focuses on geometric group theory, specifically group actions on nonpositively curved spaces. Key areas include: Combinatorial nonpositive curvature (CAT(0) cube complexes, Helly graphs, Garside categories) Coarse nonpositive curvature (hierarchically hyperbolic spaces, coarse median spaces) Continuous nonpositive curvature (symmetric spaces, Teichmüller spaces, injective metric spaces) Braid groups and Artin-Tits groups Mapping class groups and surface fundamental groups His article analysis reveals: Geometric rigidity of higher rank lattices Injective metric structures in buildings and symmetric spaces New Garside theory applications Proper affine actions on Lp spaces Horofunction compactifications Automorphism classifications in Helly graphs Awards: IUF Junior membership HDR (Habilitation à Diriger les Recherches) 2021 He supervises PhD students in geometric group theory and has held visiting positions at CRM Montréal, EPFL, and Princeton University.

Eon-Kyung Leeمشاهده پروفایل

استاد

• Braid groups
• Geometric group theory
• Garside theory
• +۵ مورد دیگر

Eon-Kyung Lee is a Professor in the Department of Mathematics and Statistics at Sejong University, South Korea. She has established herself as a prominent researcher in geometric group theory with a focus on braid groups, Garside theory, and right-angled Artin groups. Her academic career spans over two decades with continuous research output from 2000 to present. Her research interests encompass a specialized niche within pure mathematics, particularly focusing on Braid groups , Geometric group theory , Garside theory , and Right-angled Artin groups . These areas intersect with knot theory, combinatorial structures, and have potential applications in cryptography as evidenced by the fingerprint analysis of her work showing connections to cryptanalysis. Analysis of her 26 research publications reveals a consistent focus on theoretical group theory with increasing specialization in right-angled Artin groups in recent years. Her work demonstrates strong collaborative patterns, particularly with S.J. Lee on numerous publications. The research spans pure mathematics with one notable interdisciplinary publication in signal processing related to angle-of-arrival estimation, showing the practical applications of her theoretical work. Her scientific contributions include significant achievements such as establishing translation discreteness of Garside groups, developing new presentations for pure braid groups, and advancing understanding of Temperley-Lieb algebras and braid groups of imprimitive complex reflection groups. Professor Lee maintains an active research profile with publications in reputable journals including the Journal of Knot Theory and its Ramifications, International Journal of Algebra and Computation, and Bulletin of the Korean Mathematical Society. She has an h-index of 8 with 208 citations according to Scopus data, reflecting the impact of her research within the mathematical community.

Peter Fellerمشاهده پروفایل

استاد

• Low-dimensional topology
• Knot theory
• 3-manifolds
• +۱۲ مورد دیگر

Peter Feller is a Full Professor at the Institute of Mathematics, University of Neuchâtel (UniNE) since 2025. Previously, he was an Assistant Professor (2019-2025) and postdoc at ETH Zurich's Geometry, Groups and Dynamics group. Earlier positions include postdoctoral fellowships at Max Planck Institute for Mathematics (Bonn), Boston College, and University of Bern (PhD). His research spans geometry and topology with emphasis on low-dimensional topology, knot theory, 3-manifolds, algebraic geometry connections, and Heegaard-Floer theory. 2010-2014: Doctorate in Mathematics, University of Bern 2008-2010: MSc in Mathematics, University of Bern 2005-2008: BSc in Mathematics, University of Bern Research interests focus on knot concordance , hyperbolizability , mapping class groups , and algebraic embeddings of complex varieties. Publications reveal trends in geometric topology, braid theory, and connections to algebraic geometry through plane curve singularities. His work on the Dehn twist coefficient characterizes irrational rotation behavior in infinite-type surfaces. Current collaborators include PhD student Léo Mousseau and postdoc Miguel Orbegozo Rodriguez. He organizes the biannual Swiss Knots conference on low-dimensional topology and contributes to seminars like the Algebra and Geometry Seminar at UniNE. Research grants acknowledge support from the Simons Foundation.

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

Carolyn Abbott is an Assistant Professor of Mathematics and Landsman Career Development Chair in the Sciences at Brandeis University's Department of Mathematics. Her research focuses on geometric group theory and low-dimensional topology, particularly group actions on hyperbolic spaces and hierarchically hyperbolic groups. Abbott holds a Ph.D. from the University of Wisconsin-Madison, an M.A.T. from Cornell University, and a B.A. from Tufts University. She has been recognized with multiple teaching and research awards including the Perlmutter Faculty Fellow (2024-2025) and the Michael L. Walzer '56 Award for Teaching. Her work explores hyperbolic and relatively hyperbolic groups, mapping class groups, Out(F_n), CAT(0) groups, and three-manifold groups. Recent publications include studies on hyperbolic actions, quasi-isometric embeddings, and hierarchical hyperbolic boundaries. Abbott's research bridges geometric, algebraic, and topological perspectives to advance understanding of complex group structures. Education : Ph.D. (University of Wisconsin-Madison), M.A.T. (Cornell University), B.A. (Tufts University) Awards : Over 10 awards including prestigious teaching and research honors Labs/Teams : Active in Brandeis's Mathematics Department research community Her 2023-2025 publications emphasize hyperbolic actions, group boundaries, and hierarchical structures, reflecting a commitment to advancing foundational geometric group theory.

Jack Buttonمشاهده پروفایل

استاد

• Combinatorial Group Theory
• Geometric Group Theory
• 3-manifolds
• +۴ مورد دیگر

Dr Jack Button is a faculty member in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, specializing in Combinatorial and Geometric Group Theory , with a focus on fundamental groups of 3-manifolds and related groups. He is affiliated with the Differential Geometry & Topology Research Group . His research explores the interplay between group theory and geometric structures, including nonpositive curvature, 3-manifolds, and linear groups. Recent work includes studies on hierarchically hyperbolic groups and nonhyperbolic free-by-cyclic groups. A common thread in his publications is the application of geometric and topological methods to understand group properties. Selected publications highlight his contributions to generalized Baumslag–Solitar groups, tubular groups, and Helfgott-type growth in linear groups. These works span topics in geometric topology, algebraic structures, and non-Euclidean geometry. Contact: J.O.Button@dpmms.cam.ac.uk | Personal Homepage

• Geometric Group Theory
• Hyperbolic Groups
• Hierarchically Hyperbolic Groups
• +۷ مورد دیگر

Carolyn R. Abbott is an Assistant Professor in the Department of Mathematics at Brandeis University, where she holds the Landsman Career Development Chair in the Sciences. She is currently on sabbatical in Spring 2025. Her research is centered in geometric group theory, with a focus on group actions on metric spaces, particularly hyperbolic and hierarchically hyperbolic structures. Ph.D., University of Wisconsin–Madison (2017), advised by Tullia Dymarz NSF Postdoctoral Fellow, Columbia University (2019–2021) NSF Postdoctoral Fellow, UC Berkeley (2018–2019) Morrey Visiting Assistant Professor, UC Berkeley (2017–2018) Her research interests include geometric group theory , acylindrically hyperbolic groups , hierarchically hyperbolic groups , mapping class groups , and group actions on hyperbolic spaces . She has made significant contributions to the understanding of acylindrical actions, hyperbolic structures on groups, and the geometry of infinite-type surfaces. She co-organizes the Brandeis Topology Seminar and serves as the Undergraduate Advising Head II. The most recent publications reflect a sustained focus on the interplay between large-scale geometry and algebraic structure in groups. Her work frequently explores classification of group actions, invariants under quasi-isometry, and structural properties of hierarchically hyperbolic and acylindrically hyperbolic groups. Several recent papers investigate the dynamics of big mapping class groups and the geometry of 3-manifold groups. Landsman Career Development Chair in the Sciences NSF Postdoctoral Fellow (twice) Morrey Visiting Assistant Professor She advises multiple graduate students and has taught a wide range of courses, from calculus to advanced topology. She has previously taught at Columbia University, UC Berkeley, and the University of Wisconsin–Madison. Her advising includes both current and graduated students, and she is actively involved in mentoring and academic leadership. She is a co-organizer of the Brandeis Topology Seminar, contributing to a vibrant research community. Dr. Abbott maintains an active research program with recent publications in top journals such as Algebraic & Geometric Topology , Mathematische Zeitschrift , and Transactions of the AMS . Her collaborative work spans multiple institutions and reflects deep engagement with the geometric group theory community.

• Geometric group theory
• Group theory
• Hyperbolicity
• +۳ مورد دیگر

Kaitlin Ragosta is a visiting researcher in the Department of Mathematics at Brandeis University, having completed her PhD at the same institution in August 2025 under the supervision of Professor Carolyn Abbott. Her doctoral research constructed an analogue of the marking graph for finite-type Artin groups and provided foundational insights into combinatorial hierarchical hyperbolicity. Her educational background includes: PhD in Mathematics, Brandeis University, 2025 Dr. Ragosta specializes in geometric group theory with emphasis on hyperbolicity generalizations—including acylindrical and hierarchical hyperbolicity—and structural properties of groups such as finite quotients and decidability. Her work is particularly distinguished by its focus on Artin groups, where she has advanced theoretical frameworks through her thesis contributions and ongoing research as a visiting scholar. She maintains professional materials including her CV and research statement for academic dissemination.

• Hyperbolic 3-manifolds
• Kleinian groups
• Teichmüller theory
• +۴ مورد دیگر

Yongquan Zhang is currently a Milnor Lecturer at the Institute for Mathematical Sciences (IMS), Stony Brook University, serving until August 2025. He will transition to a tenure-track assistant professor position at the Department of Mathematics, William & Mary, starting August 2025. Zhang earned his Ph.D. in Mathematics from Harvard University in 2021, advised by Curtis McMullen, following an undergraduate degree in Mathematics (First Class Honours) from the University of Hong Kong and study at UC Berkeley's Education Abroad Program. Research Interests: Hyperbolic 3-manifolds, Kleinian groups, Teichmüller theory, homogeneous dynamics, complex dynamics, circle packings, and number theory. His work bridges geometric topology, dynamical systems, and complex analysis, with recent focus on equidistribution of geometric structures and rigidity phenomena in reflection groups. Selected Achievements: His research includes breakthroughs on disk patterns, quasiconformal non-equivalence of Julia sets, and exotic geodesic planes. He has presented at institutions such as the Fields Institute, Cornell University, and the University of Chicago. His work is supported by collaborations with leading mathematicians like Yusheng Luo and Tina Torkaman. Teaching: In Fall 2025, he will teach MATH 311H and MATH 405 at William & Mary.

Alessandro Sistoمشاهده پروفایل

دانشیار

• Geometric Group Theory
• Hyperbolic Groups
• Geometric Topology
• +۳ مورد دیگر

Alessandro Sisto is an Associate Professor at Heriot-Watt University, specializing in Geometric Group Theory with a focus on generalizations of hyperbolic groups. He leads research in the GGT (Geometric Group Theory) group at Heriot-Watt and advises PhD students including current student Giorgio Mangioni and former students Stefanie Zbinden, Antoine Goldsborough, and Davide Spriano. His work intersects geometric topology, low-dimensional topology, and hyperbolic geometry. Sisto maintains an active blog and collaborates internationally on projects such as the Centre for Doctoral Training in Algebra, Geometry, and Quantum Fields. Education: Completed his PhD at the University of Oxford under the supervision of Cornelia Druțu. Research interests span hierarchical hyperbolicity, coarse median structures, and the interplay between group theory and geometric spaces. His recent articles explore topics like bounded cohomology, asymptotically CAT(0) metrics, and cohomological characterizations of hyperbolicity. Sisto's contributions often blend algebraic, geometric, and probabilistic methods to advance foundational questions in geometric group theory. Labs/Teams: Active member of the GGT group at Heriot-Watt. Collaborations include projects on mapping class groups, Artin groups, and hyperbolic 3-manifolds.

Alessandro Sistoمشاهده پروفایل

دانشیار

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

Alessandro Sisto is an Associate Professor in the School of Mathematical & Computer Sciences at Heriot-Watt University, specializing in Mathematics. His research focuses on geometric group theory, hyperbolic geometry, and low-dimensional topology. He has been recognized with prestigious awards including the Kamil Duszenko Award (2018) and the Whitehead Prize (2024). His research interests include the study of hyperbolic groups, mapping class groups, and coarse geometric structures. Notable work involves characterizing acylindrical hyperbolicity, analyzing Morse boundaries, and exploring applications of hierarchically hyperbolic spaces. Recent studies also address cohomological methods and probabilistic aspects of group actions. Key contributions include foundational work on quasi-isometries, random walks on hyperbolic spaces, and the Farrell-Jones conjecture. His articles often bridge geometric, algebraic, and probabilistic perspectives in group theory. Awards: Kamil Duszenko Award (2018), Whitehead Prize (2024), Invited Speaker at the 2024 European Congress of Mathematics. Activities: Organizer of the Heriot-Watt node of the Scottish Dynamics Network. Research Focus: Hyperbolic structures, group rigidity, and geometric cohomology.