جست‌وجوی استاد و پژوهشگر

• Geometric Topology
• Geometric Group Theory
• Low-Dimensional Topology
• +۶ مورد دیگر

Prof. Harry Hyungryul Baik is a Tenured Associate Professor at KAIST's Department of Mathematical Sciences since 2017. He holds a PhD from Cornell University (2014) and a B.S. from KAIST (2009), advised by William Thurston, John Hubbard, and Dylan Thurston. His research focuses on geometric topology, geometric group theory, and low-dimensional topology, with notable contributions to mapping class groups, Kleinian groups, and Teichmüller theory. Education: PhD in Mathematics (Cornell, 2014), B.S. in Mathematics (KAIST, 2009). Key research areas include asymptotic translation lengths, laminar groups, and circular orders of groups. He co-leads the KAIST-KIAS joint research group 2K-GATE as Director, emphasizing collaboration between topologists. Research highlights: Characterization of Fuchsian groups via laminations, unsmoothability of mapping class group actions on 1-manifolds, and exponential torsion growth in random 3-manifolds. His work bridges topology with dynamical systems and geometric group theory, often involving collaborations with institutions like KIAS and MPIM. Awards include the Sangsan Prize (2018), Young-KAST membership (2020–2023), and multiple grants from Samsung and POSCO. He advises 7 PhD students and has mentored 15+ alumni, many of whom hold postdoc positions globally. His lab actively hosts conferences like the KAIST Geometric Topology Fair. Labs/Teams: Director of 2K-GATE (KAIST-KIAS), core member of the KAIST Topology Research Group, collaborator with international networks including the Harvard-MIT-Princeton topology axis.

GONG Jiangbinمشاهده پروفایل

استاد

• Topological Phases of Matter
• Quantum Computation
• Quantum Information
• +۶ مورد دیگر

GONG Jiangbin serves as Professor and Head of Department at the National University of Singapore (NUS), holding the prestigious Provost's Chair Professorship (2020-2026). He is a Principal Investigator at the Centre for Quantum Technologies (CQT) with office S12-02-10 and contact email phygj@nus.edu.sg. Education: PhD, University of Toronto, Canada (2001) His research program centers on topological quantum phenomena, with primary focus on novel topological phases of matter and their applications in quantum computation and information transfer. The group actively investigates quantum dynamics control, quantum simulation frameworks for metrology/sensing applications, disorder physics in few/many-body systems, quantum chaos, and emerging quantum machine learning paradigms to bridge theoretical advances with practical quantum technologies. Analysis of recent publications (2018-2024) reveals consistent expertise in topological quantum systems, spanning non-Abelian braiding in Majorana time crystals, Thouless pumping with single spins, exotic Floquet semimetals, acoustic topological platforms, and KPZ physics in Anderson localization - demonstrating deep integration of theoretical modeling with experimental quantum platforms. Scientific Awards: Provost's Chair Professorship (2020-2026) National Research Foundation Investigatorship (class of 2017) No explicit information regarding student advising or specific research grants was provided in the source material, though his leadership role suggests significant mentorship responsibilities and grant oversight. Gong leads a multidisciplinary research group at CQT/NUS that synergizes theoretical quantum physics with experimental quantum technologies, maintaining active collaborations across quantum simulation, topological materials, and quantum information science to advance next-generation quantum computing architectures.

Thomas Lamمشاهده پروفایل

استاد

• Algebraic Combinatorics
• Total Positivity
• Cluster Algebras
• +۵ مورد دیگر

Thomas Lam is a professor of mathematics at the University of Michigan , specializing in algebraic combinatorics, total positivity, and connections to mathematical physics. His work bridges cluster algebras, positive geometry, and integrable systems, with applications to scattering amplitudes in quantum field theory. Lam has collaborated extensively with physicists such as Nima Arkani-Hamed and mathematicians like Pavlo Pylyavskyy and Mark Shimozono. Key research areas: Cluster algebras, total positivity, electrical networks, positroid varieties, and quantum cohomology. Notable contributions: Defining polypositroids, proving regularity theorems for totally nonnegative flag varieties, and establishing cluster structures in braid varieties. Recent work focuses on positive geometries , including the amplituhedron and moduli spaces of points on projective lines, with implications for particle physics. His articles often explore dual graded graphs, K-theoretic Schubert calculus, and the interplay between combinatorics and algebraic structures. Lam's research has been supported by NSF grants, including DMS-0748636 and DMS-1249708 .

Steven Sivekمشاهده پروفایل

استاد

• Pure Mathematics
• Topology
• Contact Geometry
• +۴ مورد دیگر

Steven Sivek is a Reader in Pure Mathematics at Imperial College London, affiliated with the Geometry group within the Department of Mathematics. His research focuses on contact and symplectic geometry, knot theory, gauge theory, and low-dimensional topology. He has taught courses on contact geometry, symplectic geometry, mapping class groups, and Morse theory at institutions including Imperial College London, Harvard University, and the University of Bonn. His work includes advanced topics such as Floer homology, Legendrian knots, and the interplay between contact structures and 3-manifolds. Sivek's contributions bridge geometric topology with algebraic structures, addressing questions about knot invariants, representation varieties, and topological field theories. His courses emphasize foundational texts and advanced research topics, such as the classification of tight contact structures, Morse theory applications, and symplectic fiber bundles. He has organized seminars on mapping class groups and taught graduate-level material on advanced geometry and topology. Sivek's research has been published in numerous high-impact papers, exploring themes like Khovanov homology, instanton Floer homology, and the geometry of 3- and 4-manifolds. His academic profile reflects a commitment to both teaching and cutting-edge research, with a focus on geometric and topological questions that intersect algebraic and differential structures.

Sean Howeمشاهده پروفایل

استادیار

• arithmetic geometry
• algebraic geometry
• representation theory
• +۲ مورد دیگر

Sean Howe is an Assistant Professor in the Department of Mathematics at the University of Utah, where he has been employed since July 2019. His research is supported by NSF grants DMS-2201112 and DMS-2501816. In the academic year 2023-2024, he was a Friends of the Institute for Advanced Study Member at the special year on p-adic arithmetic geometry at the Institute for Advanced Study. Dr. Howe received his PhD from the University of Chicago in 2017 under the supervision of Matt Emerton. Prior to his position at Utah, he was an NSF Postdoctoral Scholar at Stanford University from September 2017 to June 2019. He earned a joint master's degree from Leiden University and Universite Paris-Sud 11 through the ALGANT program in 2012 and completed his undergraduate studies at the University of Arizona. Dr. Howe's research spans arithmetic and algebraic geometry, representation theory, and number theory, with a particular focus on p-adic aspects. His work often explores the connections between geometry and number theory through the lens of p-adic methods, including p-adic Hodge theory, perfectoid spaces, and the Langlands program. He has made significant contributions to understanding cohomological structures in mixed characteristic settings, the geometry of moduli spaces, and the statistical properties of L-functions. His extensive publication record demonstrates a strong trajectory in advancing p-adic geometry and its applications. Recent work shows increasing focus on cohomological smoothness in mixed characteristic, p-adic periods, and the interplay between random matrix theory and arithmetic statistics. His research often bridges abstract theoretical frameworks with concrete computational approaches. NSF Postdoctoral Scholar NSF grants DMS-2201112 and DMS-2501816 Dr. Howe is an active mentor, currently advising five PhD students: Minhua Cheng, Madison Delmoe, Shea Engle, Abhay Goel, and Suo Jun Tan. He has successfully graduated two PhD students: Matthew Bertucci (2025) and Hanlin Cai (2024). He also regularly mentors undergraduate researchers, with notable projects including Emil Geisler's work on stable multiplicities in configuration space cohomology and Daniel Koizumi's software for computing braid monodromy of cubic surfaces. His teaching portfolio includes advanced courses in algebraic topology, number theory, and algebra, reflecting his broad expertise across pure mathematics. He has taught courses such as Math 6950 (Topics in Algebraic Topology), Math 4400 (Introduction to Number Theory), and Math 6320 (Modern Algebra II).

• Mapping Class Groups
• Geometric Group Theory
• Low-Dimensional Topology
• +۳ مورد دیگر

Tara Brendle is Professor of Mathematics at the University of Glasgow within the School of Mathematics and Statistics, specializing in the interplay between algebra and topology. Her research centers on mapping class groups of surfaces and their profound connections to braid groups, Coxeter groups, arithmetic groups, and automorphism groups of free groups. Her primary research explores how these algebraic structures determine the topology of 3- and 4-manifolds through constructions like Heegaard splittings and Lefschetz fibrations. She investigates cohomological properties, subgroup structures, and representation-theoretic aspects of mapping class groups, with significant contributions to understanding the Johnson kernel and hyperelliptic Torelli groups. Over the past two decades, Brendle's publications reveal a consistent focus on geometric and algebraic properties of surface automorphism groups, evolving from foundational work on generators and relations to cutting-edge research on high-dimensional cohomology of moduli spaces and stability phenomena. Her collaborations with leading mathematicians like Dan Margalit and Andrew Putman have produced influential results across geometric group theory. She actively supervises doctoral research on mapping class groups, braid groups, and low-dimensional topology, guiding students including Bader, Philipp; Corrigan, Gabriel; Giannini, Riccardo; and Pietrzak, Alicja on advanced topics at the intersection of algebra and geometry.

• Representation Theory
• Tensor Categories
• Lie Algebras
• +۴ مورد دیگر

Pavel Etingof is Professor of Mathematics at the Massachusetts Institute of Technology (MIT), Department of Mathematics, where he has been a distinguished faculty member for many years. He serves as the Chief Research Adviser of MIT-PRIMES, an all-year high school math research program that provides exceptional research opportunities for talented high school students. Additionally, he holds the prestigious position of Editor-in-Chief of Selecta Mathematica. Professor Etingof's research spans multiple advanced areas of pure mathematics with a particular focus on representation theory, tensor categories, Lie algebras, Hecke algebras, and algebraic structures. His work consistently bridges algebra, geometry, and mathematical physics, revealing deep connections between abstract algebraic structures and physical phenomena. His research has evolved to increasingly explore tensor categories in positive characteristic, connections between representation theory and fractal structures, and applications to quantum field theory. His recent publications (2021-2025) demonstrate continued productivity and innovation, with numerous papers on tensor categories in various characteristics, representation theory of Lie groups, and connections to mathematical physics. These works show sophisticated exploration of representation theory in prime characteristic, novel applications to quantum field theory, and deep investigations into the structure of tensor categories. Editor-in-Chief of Selecta Mathematica Chief Research Adviser of MIT-PRIMES Professor Etingof has mentored numerous Ph.D. students at MIT and other institutions, establishing a significant mathematical genealogy in representation theory. His teaching includes advanced courses on algebraic groups, Lie theory, representation theory, and specialized topics. He has also co-organized many student seminars on cutting-edge mathematical topics including Deligne categories, symplectic reflection algebras, quantum cohomology, and double affine Hecke algebras, fostering collaborative research environments for students and colleagues.

• Tropical Geometry
• Cluster Algebras
• Combinatorics
• +۵ مورد دیگر

David E Speyer is a Professor in the Department of Mathematics at the University of Michigan . His research focuses on algebraic problems with combinatorial flavors , particularly in tropical geometry , cluster algebras , and geometry of Lie groups . He has supervised multiple PhD students, including Shelby Cox, Will Dana, and John Wiltshire-Gordon, and collaborated on projects with undergraduates like Grant Barkley and Benjamin Branman. Education: PhD in Mathematics from UC Berkeley under Bernd Sturmfels; undergraduate at Harvard. Research: Key areas include tropical geometry , cluster algebras , and flag manifolds . His work often bridges combinatorics, algebraic geometry, and representation theory. Publications: Over 40 papers, including breakthroughs in cluster algebras , affine weak order , and braid variety cluster structures . Awards: Clay Research Fellow (2005-2010). Teaching: Coordinates courses like Math 593 (graduate algebra) and Math 214 , with a focus on inquiry-based learning .

Christoforos Mavrogiannisمشاهده پروفایل

استادیار

• Human-robot interaction
• shared autonomy
• multiagent and multirobot systems
• +۴ مورد دیگر

Christoforos Mavrogiannis is an Assistant Professor of Robotics at the University of Michigan, leading the Fluent Robotics Lab within the Department of Robotics. He holds a Ph.D. and M.S. from Cornell University and a Diploma in Mechanical Engineering from the National Technical University of Athens. His research focuses on enabling robots to seamlessly integrate into dynamic, unstructured environments through advancements in human-robot interaction, shared autonomy, multiagent systems, and navigation algorithms. Education: Ph.D. and M.S., Cornell University Diploma in Mechanical Engineering, National Technical University of Athens Research Interests: His work spans human-robot interaction , shared autonomy , and multiagent systems . He develops algorithms for navigating dynamic environments , decentralized control , and behavior prediction , with applications in robotic manipulation and collaborative transport . Recent projects include the HOUND off-road robot and pixel-art generation with mobile robots. Awards: Best paper award at the RSS Social Navigation Workshop (2024) Grants & Advising: He advises the Fluent Robotics Lab and contributes to organizing conferences like ICRA and HRI. His lab focuses on human-centered robotics and socially competent navigation . Labs & Teams: Fluent Robotics Lab at the University of Michigan, collaborating on projects like the HOUND platform and electrostatic brake systems for manipulation.

Jose Israel Rodriguezمشاهده پروفایل

استادیار

• Applied Algebraic Geometry
• Algebraic Statistics
• Nonlinear Algebra
• +۵ مورد دیگر

Jose Israel Rodriguez is an Assistant Professor in the Department of Mathematics at the University of Wisconsin-Madison, with additional affiliations in the Department of Electrical & Computer Engineering and the Institute for Foundations of Data Science. He joined UW Madison in Fall 2020 after completing postdoctoral positions at the University of Chicago (with Lek-Heng Lim) and Notre Dame (with Jonathan Hauenstein). Rodriguez earned his PhD in 2014 from UC Berkeley under the supervision of Bernd Sturmfels. His research focuses on applied algebraic geometry and algebraic methods for statistics, with particular interests in nonlinear algebra and nonlinear eigenvalue problems, algebraic statistics and nearest point problems, and applications of monodromy and Galois groups. Rodriguez has made significant contributions to numerical algebraic geometry, particularly in solving polynomial systems, maximum likelihood estimation, and Euclidean distance degree calculations. His work bridges theoretical mathematics with practical computational methods. Rodriguez's recent publications demonstrate a strong trend toward developing numerical methods for solving complex algebraic problems with applications in statistics, optimization, and engineering. His research shows increasing sophistication in handling decomposable systems, multiparameter eigenvalue problems, and braid group computations, often implementing these methods in software tools like Macaulay2. His work connects abstract algebraic geometry with concrete computational approaches. NSF Postdoctoral Fellow Provost's Postdoctoral Scholar Rodriguez currently advises PhD students Julia Lindberg (expected graduation May 2022, joint with B. Lesieutre) and Zinan Wang. He has organized numerous seminars and conferences including SIAM_SAGA, Algebra in Statistics and Computation Seminar, and Applied Algebra Seminar. His research has been supported by various grants that enable his work in numerical algebraic geometry and its applications. Rodriguez is actively involved in the algebraic geometry and statistics communities, organizing several seminars and minisymposia at major conferences. He has developed several software tools including implementations for decomposable sparse polynomial systems, multiregeneration, algebraic optimization, Galois groups, and maximum likelihood obstruction functions. His work connects theoretical mathematics with practical computational applications across various domains.

• Representation theory of Lie algebras
• Knot theory and topology
• Categorification
• +۷ مورد دیگر

Professor Catharina Stroppel is a distinguished researcher and educator in the Department of Mathematics at the University of Bonn, Germany. She maintains an active research program in representation theory and related fields, with significant contributions to categorification, knot theory, and higher category theory. Her office is located at Endenicher Allee 60, Room 4.007, Bonn, and she is supported by secretary Alev Erisöz-Reinke. Stroppel's research primarily focuses on representation theory of Lie algebras, connections to topology (particularly knot and manifold invariants), categorification, and diagram algebras. Her work bridges abstract algebra with topological applications, exploring combinatorial aspects of representation theory including Schubert calculus, Kazhdan-Lusztig theory, and canonical bases. She has made substantial contributions to understanding Hecke algebras and their representation theory, as well as developing connections between categorification and topological quantum field theories. Her recent publications demonstrate a consistent research trajectory advancing semi-infinite highest weight categories, geometric categorifications, and the interplay between quantum algebra and topology. The work shows increasing sophistication in handling higher categorical structures while maintaining concrete connections to classical representation theory problems. Her research has evolved from foundational work in categorification to more complex structures involving higher categories, quantum groups, and geometric interpretations. Indagationes Mathematicae Best Paper Prize (2022) Honorary Doctorate from Uppsala University Invited Plenary Speaker at the International Congress of Mathematicians (2022) Professor Stroppel has supervised numerous doctoral students, including current PhD candidates Jonas Nehme, Liao Wang, Lukas Bonfert, and Daniel Bermudez Montana. Her former PhD students include Till Wehrhan, Anna Mkrtchyan, Tashi Walde, Tomasz Przezdziecki, Arik Wilbert, Joanna Meinel, Hanno Becker, Antonio Sartori, Hoel Queffelec, Gisa Schaefer, and Sebastian Holzmann. She actively participates in the academic community through the Oberseminar Representation Theory (Darstellungstheorieseminar DAS), which she co-organizes with Johannes Flake, held Fridays 2:15-4pm in Endenicher Allee 60 - SR 1.008. Stroppel leads the Algebra and Representation Theory working group in Bonn and maintains strong connections with the Hausdorff Center for Mathematics, which recently received seven additional years of funding. Her research program continues to expand, with upcoming teaching responsibilities including V4A3 Representation Theory II for the WS25/26 semester.

• Quantum Materials
• Nanowires
• Semiconductor Physics
• +۱ مورد دیگر

Erik Bakkers is a Full Professor at Eindhoven University of Technology leading research in quantum materials and nanodevices. His group pioneers nanowire-based systems for quantum computing applications, with breakthroughs in Majorana fermion detection and topological materials. Key research directions: Quantum information carriers in semiconductor nanowires Light-emitting silicon and germanium alloys High-efficiency nanowire solar cells He directs the 'Enabling Majorana Braiding' project (2018-2028) and collaborates with IBM, Microsoft, and Philips on quantum technology development. His work has been recognized with multiple ERC grants and the NWO Vici Award.

• Applied Mathematics
• Fluid Dynamics
• Topological Chaos
• +۵ مورد دیگر

Jean-Luc Thiffeault is a Professor of Applied Mathematics at the University of Wisconsin-Madison, serving as Chair of the Department of Mathematics. His research spans applied mathematics, fluid dynamics, and topological chaos, with a focus on mixing mechanisms in viscous flows, biogenic mixing by microorganisms, and computational modeling. Key research themes include: Topology-driven fluid mixing via braid theory; Chaotic advection in low-Reynolds environments; Microswimmer interactions with boundaries and waves; Development of numerical tools for dynamical systems analysis. He has authored significant software packages like braidlab (braid analysis), rodent (ODE integration), and jlt lib (utility functions for scientific computing). Collaborative projects include studies on hagfish slime unraveling, burger flipping dynamics, and Brownian particle winding around vortices. His work is supported by NSF grants DMS-0806821 and CMMI-1233935, emphasizing interdisciplinary approaches combining mathematics, physics, and computational methods.

Nick Salterمشاهده پروفایل

استادیار

• Geometry/Topology
• Geometric Group Theory
• Complex Algebraic Geometry
• +۵ مورد دیگر

Nick Salter is an Assistant Professor in the Department of Mathematics at the University of Notre Dame, part of the College of Science. He holds a Ph.D. from the University of Chicago (2017) and a B.A. from Reed College (2011). His research focuses on the interplay between geometry/topology, geometric group theory, and complex algebraic geometry, particularly exploring monodromy groups in relation to mapping class groups, surface bundles, and moduli spaces of Riemann surfaces and Abelian differentials. He is supported by an NSF CAREER grant and previously held an NSF postdoctoral fellowship. Salter's educational background includes: Ph.D. in Mathematics, University of Chicago, 2017 B.A. in Mathematics, Reed College, 2011 His research interests are centered around: Monodromy groups and their applications in algebraic geometry and topology Mapping class groups, braid groups, and their connections to moduli spaces Surface bundles, configuration spaces, and their topological and geometric properties Geometric group theory and its interplay with low-dimensional topology Salter’s recent publications emphasize the study of monodromy in diverse contexts, including algebraic geometry (e.g., quintic plane curves, cyclic covers), topology (surface bundles, configuration spaces), and geometric group theory (mapping class groups, braid groups). His work bridges abstract algebraic structures with concrete geometric phenomena, often revealing deep connections between seemingly disparate areas. Notable recognition includes: NSF CAREER Grant (DMS-2338485) NSF Postdoctoral Fellowship (2017–2020) In addition to research, Salter has organized thematic programs, including a 2025 program on 'Discrete groups in topology and algebraic geometry' at the Center for Mathematics at Notre Dame, and a Math Circles Institute (July 2025). His NSF grants support his exploration of monodromy and related structures. He collaborates with researchers like Aaron Calderon and Pablo Portilla Cuadrado, and contributes to initiatives such as the Riverbend Community Math Center’s outreach programs.

Ian Agolمشاهده پروفایل

استاد

• Low-Dimensional Topology
• Hyperbolic Geometry
• 3-Manifolds Topology
• +۲ مورد دیگر

Professor Ian Agol is a faculty member in the Department of Mathematics at the University of California, Berkeley. His research focuses on low-dimensional topology, hyperbolic geometry, and geometric group theory, with groundbreaking contributions to the topology of 3-manifolds. He has supervised numerous PhD theses and served on editorial boards for leading mathematical journals. BS Mathematics, Caltech (1992) PhD Mathematics, UC San Diego (1998), advised by Michael Hartley Freedman Agol’s work addresses fundamental problems in 3-manifold topology, including the virtual Haken conjecture and virtual fibering conjecture. His research combines hyperbolic geometry, geometric group theory, and knot theory to explore the structure and classification of low-dimensional manifolds. His publications demonstrate expertise in hyperbolic 3-manifolds, special cube complexes, and geometric invariants. Key themes include nonpositively curved geometry, surface subgroup analysis, and algorithmic approaches to topological problems. Breakthrough Prize in Mathematics (2015) Simons Investigator (2015–2025) James H. Simons Chair in Mathematics (2016–2021) American Academy of Arts and Sciences member (2024) Agol has advised 13 PhD students, including James Dix, Ethan Dlugie, and Larsen Linov. He also contributes to mathematical discourse as an associate editor for the Journal of the American Mathematical Society and Annals of Mathematics.