جست‌وجوی استاد و پژوهشگر

• Applied Topology
• Dynamical Systems
• Algebraic Topology
• +۵ مورد دیگر

Robert Ghrist is the Andrea Mitchell University Professor at the University of Pennsylvania with dual appointments in the Department of Mathematics and the Department of Electrical and Systems Engineering. He serves as Associate Dean for Undergraduate Education for Penn Engineering. His educational background includes a B.S. in Mechanical Engineering from the University of Toledo (1991), and M.S. and Ph.D. degrees in Applied Mathematics from Cornell University (1994, 1995). Ghrist's research bridges pure and applied mathematics, focusing on applied algebraic topology , dynamical systems , and geometric methods in data science. His work extends to network theory, topological data analysis, and computational geometry, with applications spanning robotics, neuroscience, and social dynamics. Key innovations include developing sheaf-theoretic approaches for networked systems and persistence homology techniques for high-dimensional data. Analysis of his recent publications reveals a strong emphasis on lattice-theoretic frameworks , topological robotics , and network dynamics , with emerging applications in neural data interpretation and geometric computing. His research consistently integrates category theory with real-world engineering challenges. Significant scientific recognition includes: Presidential Early Career Award (PECASE, 2004) Scientific American 'Top 50' Research Leader (2007) Mathematical Association of America's Chauvenet Prize (2013) University of Pennsylvania Lindback Award for Distinguished Teaching (2015) DoD National Security Science and Engineering Faculty Fellowship (NSSEFF, 2015) Ghrist leads multiple federally funded research initiatives supported by AFOSR, DARPA, NSF, and ONR. He directs the development of educational tools including the Calculus BLUE/GREEN Project video series and custom GPTs for mathematical pedagogy. His open online courses have reached over 100,000 learners globally.

David Nadlerمشاهده پروفایل

استاد

• Geometric Representation Theory
• Symplectic Geometry
• Langlands Duality
• +۳ مورد دیگر

David Nadler is a Professor in the Department of Mathematics at the University of California, Berkeley, appointed in 2012. His research centers on geometric representation theory and symplectic geometry, with significant contributions to the Langlands program, microlocal sheaf theory, and symplectic topology. He maintains an active research group and teaches courses ranging from undergraduate linear algebra to graduate algebraic topology and geometry. Nadler's research explores the interface of algebraic geometry, topology, and representation theory. His work in geometric representation theory focuses on Langlands duality, Springer theory, and Betti geometric Langlands. In symplectic geometry, he investigates microlocal sheaves, Fukaya categories, and Weinstein structures. His recent publications demonstrate a consistent focus on categorical methods in geometric Langlands correspondence and symplectic arborealization. His publications consistently emphasize categorical and geometric approaches to representation theory. Recent works cluster in three areas: (1) extensions of the geometric Langlands program to Betti cohomology settings, (2) microlocal analysis of sheaves on symplectic manifolds, and (3) combinatorial models in symplectic topology. This reflects sustained development of 'Betti geometric Langlands' as a distinct research program bridging topology and automorphic forms. Nadler has advised over a dozen PhD students since 2012, with dissertations spanning geometric representation theory, symplectic geometry, and algebraic topology. Student projects frequently investigate categorical aspects of geometric Langlands, microlocal sheaves, and combinatorial models in symplectic topology.

Kevin Coulembierمشاهده پروفایل

استاد

• Representation Theory
• Noncommutative Algebra
• Monoidal Categories
• +۳ مورد دیگر

Kevin Coulembier is a Professor in the Algebra Research Group at the University of Sydney . He has held a continuing position since 2017 and received prestigious awards including the Christopher Heyde Medal (2021), G. de B. Robinson Award (2022), and the Frontiers of Science Award (2024). Research Focus: Representation theory of algebraic groups, Lie (super)algebras, quantum groups, and monoidal categories; tensor ideals; and homological algebra. Grants: ARC Future Fellowship (2023), ARC Discovery Projects (2021, 2018), and DECRA Fellowship (2017). Students: Supervised postdocs and PhD students including Nick Bridger, Joseph Newton, Bregje Pauwels, Alexander Sherman, and Willow Stewart. Editorial Roles: Editor for Annals of Representation Theory and Mathematische Zeitschrift .

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 .

Markus Landمشاهده پروفایل

عضو هیئت علمی

• Algebraic Topology
• Homotopy Theory
• K-Theory
• +۳ مورد دیگر

Markus Land is a Tenure Track Professor at the Department for Mathematics, Ludwig Maximilian University of Munich, affiliated with the Algebraic Geometry Working Group. His research bridges algebraic topology, homotopy theory, and K-theory, focusing on their interplay with L-theory and manifold topology. He has held postdoctoral positions at the University of Copenhagen (supported by an EU Marie Curie Fellowship and DFG Grant) and the University of Regensburg, and earned his PhD at the University of Bonn under Wolfgang Lück. Education : PhD in Mathematics (University of Bonn, 2016) Positions : Postdoctoral (University of Copenhagen, 2019–2022; University of Regensburg, 2016–2019) Research Interests : Markus Land explores algebraic topology and homotopy theory , particularly algebraic K-theory , hermitian K-theory , and their connections to L-theory and manifold topology . His work often applies infinity-categories to foundational problems in operator K-theory and geometric topology. Recent Publications : His research includes groundbreaking studies on chromatic localization in K-theory, Grothendieck-Witt groups in ring theory, and additivity in cobordism categories . Collaborations with leading mathematicians like Georg Tamme and Ulrich Bunke highlight interdisciplinary approaches to algebraic and geometric problems. Awards & Grants : EU Marie Curie Individual Fellowship (2020–2022) DFG Individual Research Grant (2019–2020) Teaching & Academic Leadership : He has designed advanced courses including Topology I–V , Algebraic K-Theory , and Condensed Mathematics , emphasizing homotopy theory and infinity-categories . Future initiatives include student seminars on arithmetic and algebraic geometry to foster academic collaboration. Working Group : As part of the Algebraic Geometry Working Group at LMU Munich, he contributes to seminars and research projects on arithmetic geometry , manifold classification , and spectral algebra .

Michael Farberمشاهده پروفایل

استاد

• Applied and Computational Topology
• Topological Robotics
• Stochastic Topology
• +۳ مورد دیگر

Michael Farber is a Professor of Mathematics at Queen Mary University of London's School of Mathematical Sciences. Previously, he held professorships at the Universities of Warwick, Durham, and Tel Aviv. His research focuses on applied and computational topology, topological robotics, stochastic topology, and their applications in distributed computing, genomics, and brain connectivity modeling. He has authored influential monographs such as Invitation to Topological Robotics and Topology of Closed One-Forms . Farber's current research includes projects funded by the Leverhulme Trust and EPSRC, addressing probabilistic and deterministic topology, automated motion planning, and topological robotics. He advises PhD students including Lewin Strauss, Gabriele Beltramo, and Lewis Mead. His work has been recognized with the Royal Society Wolfson Research Merit Award. Key research interests include parametrized topological complexity, sequential motion planning algorithms, and the intersection of topology with AI and robotics. His collaborations span interdisciplinary fields, such as using topological methods in cancer research and genomic analysis. Grants and funding include the Leverhulme Trust's 'Probabilistic and Deterministic Topology' and EPSRC's 'Topology of Automated Motion Planning.' Farber is affiliated with Queen Mary's Centre for Geometry, Analysis, and Gravitation, contributing to advancing topological methodologies in algorithmic and stochastic systems.

June Huhمشاهده پروفایل

استاد

• Algebraic Geometry
• Combinatorics
• Matroid Theory
• +۵ مورد دیگر

June Huh is a Mathematics Professor at Princeton University's Department of Mathematics. His research focuses on the interplay between algebraic geometry, combinatorics, and matroid theory, with notable contributions to Hodge theory, tropical geometry, and log-concavity phenomena. He is actively involved in collaborative projects such as the FRG initiative on matroids, graphs, and algebraic geometry. Key research interests include matroid polytopes, Chow rings, Lagrangian geometry, and combinatorial applications of Hodge-Riemann relations. His work bridges discrete and continuous mathematics, with implications for enumerative geometry and geometric combinatorics. Recent publications explore topics like volume polynomials, Bergman fans, and singular Hodge theory in combinatorial geometries. He has received funding for interdisciplinary research through grants like the FRG Collaborative Research program. His contributions highlight innovative methods in geometric and algebraic combinatorics.

Domenico Fiorenzaمشاهده پروفایل

دانشیار

• Mathematical Physics
• Algebraic Geometry
• Algebraic Topology
• +۴ مورد دیگر

Affiliations: Domenico Fiorenza is an Associate Professor at the Department of Mathematics, University of Rome La Sapienza since October 2015. Previously, he held roles as Assistant Professor (2005–2015) and PostDoc Researcher at the Universities of Rome Tor Vergata and La Sapienza. Education: Laurea in Mathematics (University of Rome La Sapienza, 1996); PhD in Mathematics (University of Pisa, 2002). Research Interests: His work focuses on mathematical physics, algebraic geometry, and topology, with contributions to deformation theory, higher structures in quantum field theory, and categorical constructions. Notable areas include T-duality in rational homotopy theory, M-theory, and derived algebraic geometry. Publications: Over 60 peer-reviewed articles, including studies on C-infinity algebras, twistor spaces, and the geometric interpretation of M5-branes. Recent work emphasizes connections between homotopy theory and physics, such as twisted Cohomotopy and anomaly cancellation in M-theory. Labs/Teams: Collaborations with Hisham Sati and Urs Schreiber on topics like super-exceptional geometry and higher TQFTs. Visiting positions at IHÉS, MPIM, and ETH Zurich highlight his international engagement.

Kirsten Wickelgrenمشاهده پروفایل

استاد

• Homotopy Theory
• Arithmetic Geometry
• Algebraic Topology
• +۴ مورد دیگر

Kirsten Wickelgren is a Professor in the Department of Mathematics at Duke University, affiliated with Trinity College of Arts & Sciences. Her research focuses on homotopy theory and arithmetic geometry, with support from the National Science Foundation through grants DMS-2405191 and DMS-2103838. She has held academic positions at Duke, Georgia Tech, and Harvard, teaching advanced courses in algebraic topology, algebra, and geometry. Her research explores intersections of algebraic topology and number theory, including motivic homotopy theory, quadratic forms, and enumerative geometry. Notable contributions include enriched counts of geometric objects over finite fields and arithmetic counts of curves in projective spaces. Wickelgren has advised numerous PhD students, including Chongyao Chen, Cameron Darwin, and Thomas Brazelton, and has mentored undergraduate and high school research projects. She has organized conferences such as the Abel Symposium 2025 and co-organized the Mathematics Employment Experience for High School Students at Duke.

Fangzhou Jinمشاهده پروفایل

استادیار

• Algebraic Geometry
• Pure motives
• Mixed motives
• +۵ مورد دیگر

Fangzhou Jin is an Assistant Professor at the School of Mathematical Sciences, Tongji University. His research focuses on advanced topics in Algebraic Geometry , particularly in Motivic Homotopy Theory , Algebraic K-theory , and Real Algebraic Geometry . He has extensive experience in collaborative mathematical research, having worked with prominent mathematicians such as Frédéric Déglise, Enlin Yang, and Marc Levine. Education : Ph.D. in Mathematics (2016, École Normale Supérieure de Lyon), M.Sc. in Pure Mathematics (2012, Université Paris-Diderot), Diploma of ENS (2013) His work bridges Algebraic Cycles with Étale Cohomology , exploring Weight Structures in mixed motives and Chern Classes in motivic contexts. Jin has contributed to the theory of Trace Maps and Local Terms in motivic homotopy, as well as the study of Flat Cohomology and Real Schemes . Key trends in his publications include: 2025: Cohomology of singular varieties via real cycle class maps 2024: Trace maps and local terms in motivic homotopy 2023: Moving lemmas in homotopy colevel theory 2022: Quadratic conductors, perverse homotopy, and pro-Chern classes 2021: Rational motivic homotopy and Künneth formulas 2020: Gersten complexes and real flat cohomology 2018: Algebraic G-theory in motivic categories 2016: Borel-Moore homology and weight structures Scientific Awards & Grants : Fundamental Research Funds for Central Universities (2021-2025) National Natural Science Foundation of China Grants 12101455 (2022-2024), 12471014 (2025-2028) National Key R&D Program of China 2021YFA1001400 (2022-2026) DFG Priority Programme SPP 1786 & ERC Project QUADAG (2018-2020) Advising & Teaching : Jin has supervised exercise classes and seminars at multiple institutions, including Universität Duisburg-Essen and Tongji University. His teaching spans Algebraic Topology , Étale Cohomology , and Algebraic Geometry . Labs & Collaborations : Active in international collaborations, he is a key member of the Algebraic Geometry and Ramification Seminar at Tongji University and has participated in DFG Research Training Group 2553 during his postdoctoral period.

Melanie Matchett Woodمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Statistics
• Arithmetic Geometry
• +۵ مورد دیگر

Melanie Matchett Wood is the William Caspar Graustein Professor of Mathematics at Harvard University. Her research spans number theory, arithmetic statistics, algebraic geometry, and probability theory, with a focus on distributions of class groups, Galois groups of unramified extensions, and random algebraic structures. She has been supported by prestigious awards including the Packard Fellowship, the NSF Waterman Award, and the MacArthur Fellowship. Her work connects number theory to topology through function field analogs, studying moduli spaces of curves and their statistical properties. She has made significant contributions to understanding the universality of random matrix cokernels and their applications to sandpile groups of graphs. Her editorial roles include the Journal of the American Mathematical Society and Algebra and Number Theory . Recent publications emphasize arithmetic topology, proving universality theorems for 3-manifold groups, and developing new heuristics for class group torsion. She organizes seminars on arithmetic statistics and topology-number theory interactions. Her teaching includes advanced courses like Algebraic Number Theory and Class Field Theory, with research supervision spanning PhD and undergraduate projects. Scientific Awards: Packard Fellowship for Science and Engineering National Science Foundation Waterman Award MacArthur Fellowship

John Rognesمشاهده پروفایل

استاد

• Algebraic Topology
• Algebraic K-Theory
• Geometric Topology
• +۳ مورد دیگر

John Rognes is a Professor at the Department of Mathematics , University of Oslo, specializing in Algebraic Topology, Algebraic K-Theory, and Geometric Topology. His research bridges number theory and homotopy theory, with a focus on structured ring spectra and topological modular forms. Education : International Baccalaureate (1984), Cand. Mag. in Mathematics (1985), Princeton MA (1987), and PhD (1990) under Gunnar Carlsson. Positions : Professor at UiO since 1998, Visiting roles at Stanford (1996), Chicago (1996), and Bonn (2005-2006). His research areas include Algebraic K-Theory , Stable Homotopy Theory , Topological Cyclic Homology , and Motivic Homotopy . Articles highlight work on Adams spectral sequences, redshift phenomena, Segal conjectures, and topological Hochschild homology of modular forms. Scientific awards include the 1999 Professor Ingerid Dal and Ulrikke Greve Dals prize, Fulbright-Hays Fellowship, and multiple grants from the Research Council of Norway (YFF, SUPREMA). He supervised 18 Master’s and 9 PhD students, including Paul Arne Østvær, Vigleik Angeltveit, and Alice Hedenlund. Leadership : Chairman of the Abel Committee (2014-2018), Program Leader for Master programs in Mathematics (2021-2024), and organizer of international symposia. Grants : YFF program 'Brave new rings' (7.1 MNOK), RCN projects on topology and motivic homotopy (total >30 MNOK).

James Pascaleffمشاهده پروفایل

دانشیار

• Symplectic Geometry
• Floer Theory
• Homological Mirror Symmetry
• +۳ مورد دیگر

James Pascaleff is an Associate Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), where he has held tenured faculty positions since 2014. He specializes in symplectic geometry, Floer theory, and homological mirror symmetry. His work bridges geometric and algebraic approaches, with notable contributions to Fukaya categories and their applications in mirror symmetry. Education: Ph.D. in Mathematics, MIT (2011), advised by Denis Auroux A.B. in Mathematics, University of Chicago (2006, honors) Research Interests: Focus on symplectic topology, including Fukaya categories, Lagrangian submanifolds, wall-crossing phenomena, and their connections to algebraic geometry and mirror symmetry. Recent work explores higher categorical structures and applications of monoidal Fukaya categories. Awards & Grants: Simons Foundation Collaboration Grant (2019–2024) NSF Award (2014–2017) on symplectic cohomology and equivariant Lagrangians Paul R. Cohen Memorial Prize (2006), MIT Presidential Fellowship Teaching & Mentorship: Teaches undergraduate and graduate courses in algebraic topology, abstract algebra, and differential geometry. Advises Ph.D. students in symplectic geometry and related fields. Serves as Chair of the Undergraduate Affairs Committee and faculty liaison for student success initiatives.

Natalia Castellana Vilaمشاهده پروفایل

دانشیار

• Topology
• Homotopy Theory
• Lie Groups
• +۳ مورد دیگر

Natalia Castellana Vila is an Associate Professor at the Universitat Autònoma de Barcelona (UAB) since 2010. Her research focuses on homotopy theory and topology, particularly in analyzing p-completed classifying spaces of compact Lie groups and fusion systems. She has held postdoctoral positions at Aberdeen University and visiting roles at Purdue University, and participated in prestigious research programs at institutions like the Mittag-Leffler Institute, Max-Planck Institut fur Mathematik, and the Fields Institute. Research Focus: Homotopy properties of p-completed classifying spaces, fusion systems, cohomological properties via stable homotopy theory, and tensor-triangular geometry. Projects: Principal Investigator for Spanish Ministry of Science projects MTM2010-20692, MTM2013-42293-P, and MTM2016-80439-P on homotopy theory of classifying spaces and algebraic structures. Collaborations: Co-authoring papers with Tobias Barthel, Drew Heard, Gabriel Valenzuela, Carles Broto, Jesper Grodal, Ran Levi, and Jérôme Scherer. Institutional Affiliations: Geometry and Topology Group at UAB; long-term engagements at international research centers in Sweden, Germany, Canada, India, and Switzerland.

• Representation Theory
• Algebra
• Group Theory
• +۳ مورد دیگر

Jeremy C Rickard is Professor of Mathematics in the School of Mathematics at the University of Bristol, specializing in Pure Mathematics with research spanning representation theory, algebra, and category theory. His work focuses on derived categories, modular representation theory, and structural properties of finite-dimensional algebras. Education: M.A. from University of Cambridge Ph.D. from University of London Rickard's research centers on representation theory of finite groups and algebras, with pioneering contributions to tilting complexes, block theory, and abelian categories. He investigates rigidity phenomena, support varieties, and homological dimensions, often revealing deep connections between algebraic structures and categorical frameworks. His work bridges abstract category theory with concrete problems in group representation. Recent publications (2019-2024) exhibit sustained innovation in homological methods, including pathological abelian categories, delooping levels, and finitistic dimension conjectures. These works consistently address structural questions in representation theory while advancing foundational aspects of derived categories and module theory. Scientific Awards: No scientific awards mentioned in source text Rickard supervised 3 students and served as Co-Investigator on the 2014-2015 project 'Overcoming the mathematics barriers to participation in HE', addressing widening participation in mathematics education. This collaborative effort with R. J. Sutherland and A. T. Coles focused on mathematics teacher development and barriers to higher education access.