جست‌وجوی استاد و پژوهشگر

• Geometry and Topology
• Gauge Theory
• Knot Theory
• +۴ مورد دیگر

Hans Ulysses Boden is a Professor of Mathematics at McMaster University's Department of Mathematics and Statistics, specializing in Pure Mathematics with a focus on Geometry and Topology. His research centers on gauge theory, low-dimensional topology, knot invariants, and moduli spaces of flat connections. He has contributed to studies of virtual knots, character varieties, and generalized Casson invariants. Currently, his research team includes two postdocs, two graduate students, and one undergraduate student. Education: B.S. in Mathematics from the University of New Hampshire; Ph.D. in Mathematics from Brandeis University. Research interests span gauge theory, knot theory, and geometric topology, with recent work exploring periodicity in virtual knots, concordance invariants, and generalized Tait conjectures. Over 48 publications in the last decade include contributions to Algebraic and Geometric Topology , Communications in Analysis and Geometry , and Proceedings of Symposia in Pure Mathematics . His work integrates topological, algebraic, and geometric methods to address problems in knot theory and 3-manifold topology. Teaching includes courses on Algebraic Topology, Knot Theory, and Advanced Calculus. He has mentored multiple students, including Jie Chen (PhD 2023), Jeffrey Marshall-Milne (MSc 2025), and Jessie Meanwell (BSc 2023). Labs/Teams: Active in geometric topology research, with collaborations on virtual knot concordance and moduli spaces of flat connections.

• Geometry
• Topology
• Quantum Field Theory
• +۵ مورد دیگر

Ryan Grady is an Associate Professor in the Department of Mathematical Sciences at Montana State University, affiliated with the College of Letters & Science. His research bridges geometry, topology, and quantum field theory (QFT), with a focus on derived geometry and higher Lie theory. Research Interests: His work applies QFT techniques to geometric and topological problems, explores derived algebraic structures (e.g., L-infinity spaces, cosheaves), and investigates connections between renormalization group flows and sigma models. Recent publications address K-theoretic invariants, operadic structures in topology, and algebraic models for topological field theories. Scientific Awards: Stannard Award for Graduate Teaching (2021) NExT Fellow (2019) ICCM Best Paper Award (2018) Research Enhancement Grant (2018) Member, MSU Center for Faculty Excellence (2017) Education: Ph.D. and M.S. in Mathematics from the University of Notre Dame (2012, 2009), and B.S. in Mathematics from the Colorado School of Mines (2007). Students: Co-chaired Eric Berry (PhD 2021) and Adam Howard (PhD 2021), advised Garrett Oren (MS 2021), and mentored Bryce Morrow (BS 2023).

Jørgen Ellegaard Andersenمشاهده پروفایل

استاد

• Quantum Topology
• Geometric Quantization of Moduli Spaces
• Topological Quantum Field Theory
• +۷ مورد دیگر

Jørgen Ellegaard Andersen is a Professor and Center Director at the Department of Mathematics and Computer Science, University of Southern Denmark (SDU), and holds the D-IAS Chair at the Danish Institute for Advanced Study (DIAS). He is also a Distinguished Visiting Professor at the California Institute of Technology since 2013, reflecting his international stature in mathematical sciences. University: University of Southern Denmark School: Faculty of Science Department: Department of Mathematics and Computer Science Position: Professor, Center Director, D-IAS Chair Andersen earned his DPhil in Mathematics from the University of Oxford in 1992, with a thesis on Jones-Witten theory and the Thurston Compactification of Teichmüller space. His research lies at the intersection of quantum theory and geometry, focusing on quantum topology, geometric quantization of moduli spaces, topological quantum field theory, low-dimensional geometry, and applications to RNA and protein folding. His work combines deep mathematical rigor with potential applications in quantum computing and biophysics. The trends in his recent publications show a consistent focus on quantization of moduli spaces, topological recursion, mapping class group representations, and quantum Chern-Simons theory. His work often bridges pure mathematics and theoretical physics, with increasing attention to computational and applied aspects in quantum technologies. ERC Synergy Grant ReNewQuantum (EUR 10m, Principal Investigator) Distinguished Visiting Professor, Caltech Andersen leads major research projects such as ReNewQuantum and TopQC2X, securing significant funding from the EU and Danish agencies. He actively supervises PhD students and collaborates with leading mathematicians worldwide, including Maxim Kontsevich and Bertrand Eynard. His work is frequently highlighted in the media for its potential impact on quantum computing and Danish industry. He is a central figure in the Quantum Mathematics center at SDU and collaborates with institutions like MSRI and the University of Hamburg. His research group is part of international networks focused on geometric and topological methods in quantum theory.

• Low-Dimensional Topology
• Knot Theory
• Gauge Theory
• +۴ مورد دیگر

Hans U. Boden is a Professor in the Department of Mathematics & Statistics at McMaster University's Faculty of Science. His research focuses on low-dimensional topology, gauge theory, and knot theory with emphasis on virtual knots, braid theory, and moduli spaces. Current teaching includes Math 2X03, Math 4E03, and iSci 2A18 as of the 2022-2023 academic year. His research interests center on gauge theory and low-dimensional topology , specifically investigating knots, links, braids and their invariants , moduli spaces of flat connections over 3-manifolds , and moduli spaces of vector bundles over Riemann surfaces . Recent work includes collaborations on virtual knot concordance, alternating links in thickened surfaces, and braid representatives minimizing simple walks with student Matthew Shimoda. Analysis of his recent publications (2019-2025) reveals a strong trend toward virtual knot theory and surface embeddings , with significant contributions to alternating virtual links, generalized Tait conjectures, and concordance invariants. His work bridges combinatorial topology with geometric structures, frequently employing computational methods like SageMath for braid analysis. He has co-edited three major books: Gauge Theory and Low-Dimensional Topology: Progress and Interaction (2022), Chern Simons Gauge Theory: 20 years after (2011), and Geometry and Topology of Manifolds (2005). Supervised 22+ theses including PhDs by Jie Chen (2023), Homayun Karimi (2018), and Lindsay White (2016) Mentored undergraduate researchers through USRA projects and Fields Institute summer programs Collaborated with international researchers including Chris Herald, Paul Kirk, and Homayun Karimi His research group maintains active projects in knot tabulation, virtual knot invariants, and computational topology, with recent work on mutation of surface graphs and minimal crossing diagrams. The group utilizes both theoretical approaches and computational tools like SageMath for knot analysis.

TAN Meng Chwanمشاهده پروفایل

دانشیار

• M-theory
• String Theory
• Quantum Field Theory
• +۳ مورد دیگر

TAN Meng Chwan is an Associate Professor at the National University of Singapore (NUS), specializing in theoretical physics and mathematical physics. He serves as Assistant Dean (Outreach and Admissions) and Head of the NUS String Theory Group. His research focuses on M-theory, string theory, quantum field theory, and their implications for contemporary mathematics, particularly in understanding emergent spacetime in quantum gravity. Education: PhD in Physics from NUS (2007). His work bridges high-energy physics with advanced mathematical structures, including Floer homologies, categorification, and geometric Langlands duality. He has contributed to topological gauge theories, dualities in quantum field theories, and connections between string theory and algebraic geometry. Editorial Roles: Editor of International Journal of Modern Physics A, Modern Physics Letters A, and Scientific Reports. He also reviews for Communications in Mathematical Physics, Journal of High Energy Physics, and Advances in Theoretical and Mathematical Physics. Research Themes: His publications emphasize topological and holomorphic aspects of gauge theories, integrable systems, and their categorifications. Recent work explores higher-dimensional gauge theories, Floer homologies, and their applications to manifold topology and quantum gravity. Key Contributions: He pioneered studies on u-plane integrals in Donaldson theory, Vafa-Witten invariants, and matrix regularization of Nambu brackets. His interdisciplinary approach unites string theory with algebraic geometry, number theory, and enumerative geometry.

• Geometry
• Topology
• Differential Geometry
• +۳ مورد دیگر

Nicolas Tholozan is a Research Fellow at the CNRS — École Normale Supérieure (DMA) , where he focuses on Geometry, Topology, and Mathematical Physics . His work explores reductive homogeneous spaces, Anosov representations, and anti-de Sitter geometry. Education : Ph.D. in Mathematics from Université de Nice (2014), advised by Sorin Dumitrescu. Research Supervision : Qualified to supervise research in compact quotients of reductive homogeneous spaces and surface group representations. Research Interests : Tholozan’s research spans differential geometry, geometric group theory, and mathematical physics. He investigates geometric structures on manifolds, cohomological invariants, and dynamics of Anosov representations. His recent publications include studies on fiber bundles, maximal representations, and volume invariants in anti-de Sitter geometry. Collaborations : He has co-authored works with prominent mathematicians such as Fanny Kassel, Bertrand Deroin, and Anna Wienhard. His research involves organizing seminars and workshops like the Higher rank Geometric Structures (2025) and the Tell me about... seminar series at DMA. Advising : Tholozan has supervised doctoral students Samuel Bronstein (Max Planck Institute), Tianqi Wang (Yale University), and currently Giorgos Stamatiou at École Normale Supérieure.

• Algebraic Topology
• Index Theory
• Higher Category Theory
• +۱۳ مورد دیگر

Markus Upmeier is a Lecturer in Mathematics at the University of Aberdeen, affiliated with the Department of Mathematics within the School of Natural and Computing Sciences. He earned his PhD from the University of Göttingen in 2013 under Thomas Schick and previously held a Simons Collaboration researcher position at the University of Oxford. He is actively involved in the academic community, organizing the Topology Seminar and leading a reading seminar on the Baez-Dolan cobordism hypothesis and ∞-categories. PhD, University of Göttingen, 2013 Simons Collaboration Researcher, University of Oxford Lecturer, University of Aberdeen Markus Upmeier's research lies at the intersection of algebraic topology, index theory, and higher category theory, with applications to moduli spaces in gauge theory and algebraic geometry. His work explores the topological and geometric structures—such as orientations, spin structures, and higher categorical analogues—on moduli spaces arising in theoretical physics. He investigates connections to K-theory, elliptic cohomology, and vertex algebras, particularly through the lens of quantum invariants and bordism theory. His recent publications emphasize homological algebra on moduli spaces, differential cohomology, and integrability in almost Hermitian geometry. The 15 most recent publications highlight a consistent focus on the topology of moduli spaces, particularly concerning orientations, bordism invariance, and index theory. Key themes include twisted K-theory, vertex F-algebras, and the interplay between higher category theory and mathematical physics. His work frequently involves collaboration with leading figures such as Dominic Joyce and integrates deep results from homotopy theory, differential geometry, and algebraic structures. No scientific awards or fellowships were mentioned in the provided text. Markus Upmeier advises no listed students in the provided information. There is no mention of grants or funding sources. However, his role as a seminar organizer and his active publication record suggest significant academic engagement and leadership. His research program is well-defined, bridging abstract homotopy theory with concrete geometric and physical problems. He is involved in the Topology Seminar and leads a reading seminar on ∞-categories and the cobordism hypothesis, indicating an active research group or collaborative environment around higher category theory and its applications.

• Geometry
• Topology
• Quantum Field Theory
• +۲ مورد دیگر

Ryan Grady is an Associate Professor in the Department of Mathematical Sciences at Montana State University. His research and teaching focus span advanced mathematical disciplines. Education: Ph.D. and M.S. (2012, 2009) from University of Notre Dame B.S. (2007) from Colorado School of Mines Ryan's research lies at the intersection of geometry, topology , and quantum field theory (QFT) , with a focus on rigorous mathematical frameworks. He explores connections between QFT, derived geometry , and higher Lie theory , aiming to bridge physical intuition with formal mathematical structures. His recent publications highlight trends in topological data analysis , homotopy theory , and quantization . Key areas include factorization algebras , K-theory , and non-linear sigma models , reflecting a synthesis of abstract mathematics and physical applications. Ryan has advised multiple graduate students, including Eric Berry, Adam Howard, Garrett Oren, and Bryce Morrow, whose work spans cohomology of Grassmanians , surface immersions , algebraic structures , and infinite-dimensional linear algebra .

Dan Freedمشاهده پروفایل

استاد

• Global Analysis
• Quantum Field Theory
• String Theory
• +۴ مورد دیگر

Roles and Affiliations: Dan Freed holds the Shiing-Shen Chern Professorship in Mathematics at Harvard University and serves as Director of the Center of Mathematical Sciences and Applications (CMSA). His research bridges global analysis, topology, and mathematical physics, with particular focus on quantum field theory, string theory, and geometric quantization. He actively contributes to Harvard's academic community through seminars like the Geometry and Quantum Theory (GQT) seminar, which explores cutting-edge topics in topological field theories and non-invertible symmetries. Research Interests: His work centers on global geometric analysis, topological quantum field theories (TQFTs), and the interplay between geometry and physics. Key themes include the application of K-theory to string theory, the mathematical formulation of Chern-Simons theories, and the study of anomalies in quantum field theories. Freed collaborates with physicists to translate abstract mathematical concepts into physical frameworks, exemplified by his work on twisted K-theory and orientifold models. Teaching and Mentorship: Freed has taught advanced courses on differential geometry, index theory, Morse theory, and mathematical gauge theory. His mentorship is reflected in the list of students involved in seminar presentations and problem sets, covering topics like Dirac operators, Hodge theory, and boundary conditions in TQFTs. His courses emphasize rigorous foundations while connecting to modern research problems. Key Contributions: Through expository books and lecture series (e.g., CBMS lectures on Field Theory and Topology), Freed synthesizes complex ideas for broader academic audiences. His collaborations with Michael Hopkins and Constantin Teleman on loop groups and twisted K-theory have redefined connections between representation theory and topological invariants. Recent work explores topological symmetries and their implications in quantum systems, including particle-soliton degeneracies.

Benoit Vicedoمشاهده پروفایل

مدرس ارشد

• Integrable Systems
• Quantum Field Theory
• Mathematical Physics
• +۳ مورد دیگر

Dr Benoit Vicedo is a Senior Lecturer in the Department of Mathematics at the University of York. He has held academic positions including a postdoctoral role at York and previously served as a Lecturer at the University of Hertfordshire before becoming a Reader at York in 2018. Education: Vicedo completed his undergraduate studies and PhD in Mathematics at the University of Cambridge (2008). His postdoctoral work included roles at the École Normale Supérieure (ENS) in Paris, DESY in Hamburg, and the University of York. Research: His work focuses on classical and quantum integrable systems, quantization of 1+1 dimensional field theories, and dualities such as the AdS/CFT and ODE/IM correspondences. He explores higher-dimensional integrability and gauge-theoretic frameworks like 4D Chern-Simons theory. Grants & Supervision: Vicedo leads the EPSRC-funded project 'Higher gauge theory and higher-dimensional integrability' (2025–2028) and co-supervises PhD students Ricky Li and Henry Bittleston. His research group is part of the Mathematical Physics and Quantum Information cluster at York. Labs/Teams: Active member of the Mathematical Physics group, collaborating internationally on topics such as affine Gaudin models and non-ultralocality in integrable systems.

Eric Sharpeمشاهده پروفایل

استاد

• Mathematical String Theory
• Quantum Field Theory
• Algebraic Geometry
• +۳ مورد دیگر

Eric Sharpe is a Professor of Physics at Virginia Polytechnic Institute and State University (Virginia Tech), affiliated with the Department of Physics within the College of Science. His research focuses on Mathematical String Theory, exploring topics such as non-invertible symmetries, topological field theories, and algebraic geometry. He holds a Ph.D. from Princeton University. His work bridges advanced mathematical structures with foundational questions in quantum field theory and string theory. His research interests include categorified structures over moduli spaces, gauged linear sigma models (GLSMs), and decomposition techniques in topological and supersymmetric systems. He investigates anomalies, non-invertible symmetries, quantum K-theory, and geometric aspects of string compactifications. Recent articles highlight his contributions to understanding symmetries in topological field theories and their applications to string theory. Dr. Sharpe has contributed to foundational discussions on Bagger-Witten line bundles, Chern-Simons theories, and the interplay between algebraic geometry and quantum field theory. His work often emphasizes mathematical rigor, with applications to geometric engineering and duality structures in physics. Collaborations and theoretical frameworks he explores are central to advancing string theory's mathematical underpinnings.

Bruce Bartlettمشاهده پروفایل

دانشیار

• Low-dimensional topology
• Topological quantum field theory
• Mathematical physics
• +۵ مورد دیگر

Bruce Bartlett is an Associate Professor in the Department of Mathematical Sciences within the Faculty of Science at Stellenbosch University, South Africa. His academic career spans positions including Senior Lecturer (2017-2023), Lecturer (2009-2013) at Stellenbosch University, and Research Fellow at Oxford University's Mathematical Institute (2013-2016) in the Quantum Mathematics and Computation group. His research focuses on low-dimensional topology and mathematical physics, with primary expertise in topological quantum field theory (TQFT). Key areas include modular categories, quantum invariants of 3-manifolds, conformal field theory, and applications to quantum computing. His work bridges abstract category theory with physical interpretations in quantum gravity and condensed matter systems. Recent interdisciplinary projects include statistical analysis of South African voter turnout (2019, 2024) and orbital mechanics simulations of Apollo missions. Analysis of his publication trends reveals consistent contributions to topological quantum field theory since 2010, with increasing interdisciplinary work in mathematical physics and data science applications. His most active research periods (2014-2017) produced foundational work on higher categories and modular forms, while recent years show expansion into public policy analysis and science communication through blog posts and media interviews. As an active member of the academic community, Bartlett maintains significant online presence through MathOverflow (1,831 reputation), TeX-LaTeX StackExchange (1,177 reputation), and specialized mathematics blogs. His work demonstrates strong connections between pure mathematics and physical applications, particularly in quantum computing frameworks.

• Arithmetic Topology
• Number Theory
• 3-Dimensional Topology
• +۵ مورد دیگر

Masanori Morishita is a Professor at Kyushu University, holding concurrent positions in the Faculty of Mathematics, Joint Graduate School of Mathematics for Innovation, School of Sciences Department of Mathematics, and Graduate School of Mathematics. His research focuses on Arithmetic Topology, exploring the interplay between number theory, 3-dimensional topology, and mathematical physics. He earned his Ph.D. from the University of Tokyo in 1992. Education: B.Sc. from University of Tokyo (1982–1986) Research Interests: Arithmetic Topology, Knot-Prime Analogy, Class Field Theory, Milnor Invariants, Galois Representations Teaching includes linear algebra, calculus, number theory, algebraic geometry, and topology. He has advised 11 master's and 7 doctoral students. His work bridges number theory and topology, with contributions to Ihara theory, Chern-Simons invariants, and arithmetic TQFT. Major grants include JSPS funding for projects on arithmetic field theories and 3D geometric topology. Notable contributions include founding the 'Low Dimensional Topology and Number Theory' conference series and organizing international conferences. He has been a visiting scholar at institutions worldwide, including Muenster University and the Australian National University.

• Representation Varieties
• Teichmüller Theory
• Polylogarithms
• +۷ مورد دیگر

Christian Zickert is a Professor at the Department of Mathematics, University of Maryland, College Park. His research focuses on representation varieties, Teichmüller theory, polylogarithms, cluster algebras, hyperbolic manifolds, and Chern-Simons theory. He has contributed to the development of triangulation-independent Ptolemy varieties and the study of holomorphic polylogarithms. Contact: zickert@umd.edu | Office: Mathematics Building 4406 | Address: University of Maryland, College Park, MD 20742-4015, USA Research Interests Zickert's work bridges algebraic geometry, topology, and hyperbolic geometry. He investigates: Polylogarithms and their role in Bloch complexes Cluster algebras and mutations in geometric contexts Chern-Simons invariants of 3-manifold representations Hyperbolic geometry and Dehn invariants Publications Overview His recent publications (2015-2024) emphasize: Algebraic structures of polylogarithms Triangulation-independent geometric invariants Applications of cluster algebras to topology Connections between hyperbolic geometry and quantum theory

• Condensed Matter Physics
• High-Temperature Superconductivity
• Mottness
• +۵ مورد دیگر

Philip W. Phillips is a Professor of Physics at the University of Illinois at Urbana-Champaign, affiliated with the Grainger College of Engineering and the Department of Physics. He holds the Bliss Faculty Scholar title and is recognized for his work on strongly correlated electron systems, particularly in high-temperature superconductivity, Mottness, and gauge/gravity duality. His research explores unconventional superconductors, topological insulators, and quantum critical phenomena. Education: Bachelor's degree from Walla Walla College (1979) Ph.D. in Physics from the University of Washington (1982) Miller Fellowship at UC Berkeley (1982–1984) Research Interests: Phillips focuses on explaining experimental deviations from standard paradigms in condensed matter physics. His work includes inventing models for Bose metals, Mottness, and the random dimer model. He investigates how strong electron interactions and disorder lead to novel states of matter, such as strange metals and topological phases. Recent efforts involve applying gauge/gravity duality (AdS/CFT) to cuprate superconductors and exploring quantum criticality in Fe-based systems. Awards: Fellow of the American Academy of Arts and Sciences (2020) John Simon Guggenheim Fellowship (2015) APS Fellow (2002) Bliss Faculty Scholar (2005) Teaching: Phillips has taught advanced courses including Condensed Matter Physics I/II, Space-Time and Matter, and University Physics. He has been recognized as an outstanding teacher multiple times. Labs/Teams: Leads a research group focusing on theoretical condensed matter physics. Collaborates with experimentalists on topics like momentum-resolved electron energy loss spectroscopy and holographic models.