جست‌وجوی استاد و پژوهشگر

Alexander Voronovمشاهده پروفایل

استاد

• Mathematical physics
• Algebraic topology
• Algebra
• +۱ مورد دیگر

Alexander A. Voronov is a Professor of Mathematics at the University of Minnesota, with additional affiliation as a Visiting Senior Scientist at the Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) at the University of Tokyo. His academic career spans several decades, with significant contributions to mathematical physics, algebraic topology, algebra, and algebraic geometry. Voronov's research interests center around the intersection of mathematics and theoretical physics, particularly exploring algebraic structures in string theory, homotopy theory, and quantum field theory. His work on higher structures, operads, and homotopy algebras has been influential in connecting abstract mathematical concepts with physical theories, especially through his investigations of string topology and the algebraic structures underlying quantum field theories. His recent publications demonstrate a sustained research program focused on triality phenomena, rational homotopy theory, and the mathematical foundations of string theory and M-theory. The trend in his work shows increasing sophistication in connecting algebraic structures with geometric and physical concepts, particularly through the lens of higher category theory and homotopical algebra. Voronov has been actively involved in the mathematical community through conference organization, editorial work (including serving on the Editorial Board for Higher Structures), and participation in numerous international research programs and workshops across the globe. His collaborations span multiple continents, reflecting the international nature of modern mathematical research.

• Representation Theory
• Algebraic Geometry
• Lie Algebras
• +۴ مورد دیگر

Arzu Boysal is a Full Professor at Boğaziçi University, affiliated with the Department of Mathematics in Istanbul, Türkiye. Her career spans over two decades, blending teaching and research in pure mathematics, particularly representation theory and algebraic geometry. Ph.D. in Mathematics, University of North Carolina at Chapel Hill (2005) B.Sc. in Industrial Engineering, Boğaziçi University (1994) Her research focuses on the representation theory of Lie algebras and affine Lie algebras, exploring their applications in algebraic geometry, moduli spaces, and complex geometry. She investigates connections between algebraic and geometric structures, with emphasis on Lie groups and their infinite-dimensional analogs. Arzu’s publications reflect her interdisciplinary approach, ranging from theoretical studies on Verlinde spaces and fusion products to applied mathematical modeling in mechanical systems. Her work on Multiple Bernoulli series and wall-crossing formulas bridges number theory with geometric quantization. She has received institutional research funding through Boğaziçi University's BAP-5076P project (2010), titled "Duvar Atlama Metodu ile Hacim ve Boyut Hesapları," focusing on volume and dimension calculations via partitioning methods.

Xuwen Zhuمشاهده پروفایل

استادیار

• Differential Geometry
• Mathematical Physics
• Spectral Theory
• +۳ مورد دیگر

Xuwen Zhu is an Assistant Professor of Mathematics at Northeastern University, affiliated with the College of Science. His research focuses on geometric analysis, differential geometry, and mathematical physics, with particular emphasis on conical metrics, spectral theory, and gravitational instantons. He has received notable recognition, including the 2023 COS Excellence in Equity, Diversity, Inclusion, and Justice Faculty Award for his contributions to fostering inclusive academic environments. Dr. Zhu’s work bridges geometric analysis and theoretical physics, addressing problems such as the construction of ALF gravitational instantons, spectral properties of singular metrics, and the realization of branched covers in spherical geometries. His research often intersects with moduli spaces, edge manifolds, and supergravity equations. His publications span topics from spherical conical metrics to eleven-dimensional supergravity, demonstrating a deep engagement with both classical and modern geometric challenges. Notable recent work includes studies on degenerating hyperbolic surfaces and spectral gaps, as well as the resolution of canonical fiber metrics in Lefschetz fibrations. Awards: COS Excellence in Equity, Diversity, Inclusion, and Justice Faculty Award (2023) Advising: No current advisees listed Labs/Teams: Collaborates on interdisciplinary projects at the intersection of geometry and physics

Roger Bielawskiمشاهده پروفایل

استاد

• Differential Geometry
• Mathematical Physics
• Hyperkähler Manifolds
• +۳ مورد دیگر

Prof. Roger Bielawski is a Professor at the Institute of Differential Geometry within the Faculty of Mathematics and Physics at Leibniz University Hannover. He serves as Spokesperson of the Riemann Center for Geometry and Physics and is a member of its leadership. His research focuses on differential geometry, mathematical physics, and hyperkähler manifolds, with contributions to monopole theory, complex geometry, and geometric analysis. He has organized major conferences such as the 2019 'Geometric and Analytic Aspects of Moduli Spaces' and the 2011 'Variational Problems in Differential Geometry.' His work bridges algebraic geometry, geometric analysis, and theoretical physics, emphasizing structures like spectral curves, integrable systems, and geometric moduli spaces. Roles: Spokesperson (Riemann Center), Professor (Institute of Differential Geometry), Deputy Representative (Faculty Council). Research Interests: Hyperkähler metrics, monopole dynamics, geometric structures in algebraic geometry, and integrable systems. Publications span over three decades, with recent works addressing vector bundles on real curves, quiver representations, and hypercomplex limits. He actively contributes to academic governance and maintains collaborative networks through the Riemann Center and Institute initiatives.

• Quantum Gravity
• String Theory
• Black Hole Physics
• +۳ مورد دیگر

Dr. Peter Weck is a Research Officer in the Department of Physics at Swansea University's Faculty of Science and Engineering. He joined the theory group in October 2023 following his 2023 PhD in Physics from Johns Hopkins University. His research focuses on the low-energy frontier of string theory, particularly exploring gravitational soliton solutions in asymptotically anti-de Sitter geometries. This work addresses quantum gravity approximations, black hole microstates, and holographic connections between field theories and gravity. His expertise spans quantum gravity, holography, and supersymmetric field theories. Notable recent contributions include studies on SCFT deformations, Chern-Simons integrability, and confinement mechanisms via gravitational duals. He actively publishes in leading journals like Journal of High Energy Physics and Nuclear Physics B . Dr. Weck's work bridges string theory with gravitational physics, advancing methods for understanding black hole entropy and gauge-gravity duality. His current projects emphasize systematic construction of soliton solutions with specified supersymmetry properties.

Constantin Telemanمشاهده پروفایل

استاد

• Lie groups
• Algebraic geometry
• Topology
• +۱ مورد دیگر

Constantin Teleman is a Professor in the Department of Mathematics at the University of California, Berkeley, and serves as Senate Faculty. His research focuses on Lie groups, algebraic geometry, topology, and quantum field theory. He holds a BA, MA from Harvard College (1991), an MSc from Cambridge (1994), and a PhD from Harvard (1994). Teleman's work bridges geometric and algebraic structures, including contributions to gauge theory, mirror symmetry, and topological quantum field theories. His recent publications explore matrix factorizations, loop groups, and moduli spaces. Despite no explicit awards mentioned, his extensive collaborations and publications reflect significant academic impact. Advises students in specialized areas like chromatic homotopy theory, geometric invariant theory, and topological quantum field theories. Office: 903 Evans Hall | Contact: teleman@berkeley.edu

Benoit Charbonneauمشاهده پروفایل

دانشیار

• Gauge theory
• Differential geometry
• Algebraic geometry
• +۴ مورد دیگر

Benoit Charbonneau is an Associate Professor in the Department of Pure Mathematics at the University of Waterloo, cross-appointed in the Department of Physics and Astronomy, and an affiliate at the Perimeter Institute for Theoretical Physics. He holds a PhD from MIT (2004), with prior degrees from Université du Québec à Montréal (MSc 1999, BSc 1998). His academic roles include serving as Associate Dean Undergraduate Studies in the Faculty of Mathematics (2019–2023). His research focuses on gauge theory, including Yang-Mills instantons, monopoles, moduli spaces, and the glass transition. Key interests span differential and algebraic geometry, with interdisciplinary work in physics and materials science. Recent grants include NSERC funding for gauge-theoretic moduli spaces and geometry of vector bundles. Charbonneau has organized international conferences, edited journals, and led initiatives in academic governance. His teaching includes advanced geometry courses, and he advises PhD students in geometric analysis and mathematical physics. Collaborations extend to institutions like Duke University and McGill University, with contributions to theoretical physics and computational geometry.

Samuel Evensمشاهده پروفایل

استاد

• Representation Theory of Lie Groups
• Geometry
• Poisson Geometry
• +۳ مورد دیگر

Samuel Evens is a Professor and Director of Graduate Studies in the Department of Mathematics at the University of Notre Dame. He holds a B.S. from Haverford College (1984) and a Ph.D. from the Massachusetts Institute of Technology (1988). His research focuses on representation theory of Lie groups, geometry, and their interplay with Poisson geometry and perverse sheaves. He explores geometric techniques to construct representations and analyze their properties, particularly branching rules for infinite-dimensional representations and microlocal invariants. Collaborations, such as with Jiang-Hua Lu on Poisson harmonic forms and Lagrangian subalgebras, highlight his work on geometric structures in cohomology and symmetric spaces. Key research areas include the application of geometrical methods from Beilinson, Bernstein, and Lusztig to representation theory, as well as the study of flag varieties, orbits, and integrable systems like the Gelfand–Zeitlin system. His work bridges algebraic geometry, Lie theory, and symplectic geometry, with contributions to spectral sequences, cohomology products, and the structure of Lagrangian subalgebras. Recent studies address orbits in flag varieties, compactifications of Lie algebra structures, and the Bruhat order's role in geometric configurations. Publications span over three decades, addressing topics from the Iwahori-Matsumoto involution to Belkale-Kumar products and eigenvalue multiplicities. Evens' research emphasizes the interplay between algebraic, geometric, and topological frameworks to advance representation theory and related fields.

Brian Williamsمشاهده پروفایل

استادیار

• Quantum Field Theory
• String Theory
• Algebraic Geometry
• +۴ مورد دیگر

Brian Williams is an Assistant Professor at Boston University, specializing in the intersection of geometry, algebra, and quantum field theory. He is a core member of the Geometry and Physics research group. His research focuses on holomorphic quantum field theories, factorization algebras, and their connections to vertex algebras, supersymmetry, and geometric representation theory. He teaches advanced courses such as spin geometry and regularly organizes conferences like the New England Algebraic Topology and Mathematical Physics Seminar. Affiliations: Boston University (current), University of Edinburgh, Northeastern University, Northwestern University Research interests include applying homotopical algebra to quantum field theory structures, studying superconformal algebras, and exploring twisted holography. His work bridges mathematical physics with algebraic topology, particularly through the lens of factorization algebras and BV formalism. Recent articles analyze topics like holomorphic twists of supersymmetric theories, local symmetries in supergravity, and quantization of mixed topological-holomorphic systems. His contributions emphasize geometric interpretations of QFT anomalies and symmetries.

Melanie Rupflinمشاهده پروفایل

استاد

• Nonlinear Partial Differential Equations
• Geometric Analysis
• Harmonic Maps
• +۳ مورد دیگر

Prof. Melanie Rupflin is a Professor of Mathematics at the University of Oxford's Mathematical Institute, based in the Andrew Wiles Building. Her research focuses on nonlinear partial differential equations (PDEs) and geometric variational problems, particularly harmonic maps and geometric flows such as the Teichmüller harmonic map flow. She develops quantitative theories to analyze singularity formation, energy concentration, and gradient flow dynamics. Her work emphasizes precise control over geometric evolution processes and their asymptotic behavior. She collaborates extensively with Peter Topping and others, producing influential papers on topics like bubble tree convergence, Lojasiewicz inequalities, and geometric PDEs on surfaces. Rupflin also teaches advanced courses such as Part A Differential Equations and Part B Functional Analysis 2, with lecture materials available via the Oxford Mathematics YouTube channel. Her research addresses fundamental questions in geometric analysis, including the existence and uniqueness of weak solutions, energy quantization, and the interplay between topology and PDE dynamics. Current projects explore refined asymptotics of geometric flows and boundary value problems in hyperbolic geometry.

• Algebraic Geometry
• Topology
• Representation Theory
• +۷ مورد دیگر

Prof. Balázs Szendroi is a University Professor in Algebraic Geometry at the University of Vienna's Faculty of Mathematics, Department of Mathematics. His research focuses on algebraic geometry, topology, representation theory, and combinatorics, with significant contributions to Calabi-Yau manifolds, Hilbert schemes, and geometric structures. He organizes international workshops including the Austria-Uganda collaboration series and leads projects to develop mathematics in East Africa. Affiliations: University of Vienna (current), former roles at University of Oxford and other institutions Teaching includes advanced courses on algebraic geometry, commutative algebra, and group theory Active in academic outreach: coordinating the Vienna African Mathematics Scholarships and mentoring over 40 students/postdocs Key collaborations include projects with institutions in Uganda, Kenya, Rwanda, and South Africa Research interests span algebraic geometry's pure and applied facets, including symmetries in Islamic art, representation theory, and geometric invariant theory. He co-authored the textbook Geometry and Topology with Miles Reid.

Sid Maibachمشاهده پروفایل

پژوهشگر

• Constructive approaches to 2D conformal field theory (CFT)
• Segal's axioms / functorial CFT
• Geometry of the Virasoro algebra
• +۵ مورد دیگر

Sid Maibach is a PhD researcher at the Institute of Applied Mathematics of the University of Bonn , advised by Eveliina Peltola. His work bridges mathematical physics and probability theory with a focus on conformal field theory (CFT) and geometric quantization. Research interests include constructive approaches to 2D CFT, Segal's axioms, Virasoro algebra geometry, and Schramm-Loewner evolution (SLE) measures. Selected publications analyze Loewner potentials and the role of conformal anomalies in CFT formulations. He has presented at international workshops (e.g., Oberwolfach, SwissMAP) and seminars on topics like random conformal geometry and modular functors. Email: maibach@uni-bonn.de

• Theoretical Physics
• Quantum Field Theory
• String Theory
• +۵ مورد دیگر

Davide Gaiotto serves as an Adjunct Assistant Professor in the Department of Physics & Astronomy within the Faculty of Science at McMaster University. His extensive scholarly activity spans over two decades with numerous publications in high-impact theoretical physics journals. His research focuses on the deep connections between quantum field theory, string theory, and advanced mathematical structures. Key areas include supersymmetric gauge theories (particularly N=2 and N=4), geometric Langlands program, holography, vertex operator algebras, and topological aspects of quantum field theories. His work often reveals profound mathematical structures underlying physical phenomena, bridging theoretical physics with pure mathematics. Analysis of his recent publications (2023-2025) shows continued exploration of quantum analytic Langlands correspondence, twisted holography, and the interplay between gauge theories and mathematical structures. His work demonstrates remarkable consistency in addressing fundamental questions at the physics-mathematics interface while maintaining technical rigor. Gaiotto has received significant scholarly attention with publications referenced across multiple platforms including Wikipedia pages, academic social networks, and research databases. His work shows strong interdisciplinary impact across theoretical physics and mathematics. His scholarly network includes collaborations across the theoretical physics community, with publications showing connections to leading researchers in mathematical physics and string theory. While specific grant information isn't provided in the text, the volume and quality of publications suggest sustained research support.

Ivan Cherednikمشاهده پروفایل

استاد

• Representation theory
• Mathematical physics
• Combinatorics
• +۸ مورد دیگر

Ivan Cherednik is a Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. His research spans multiple disciplines in mathematics and its applications. Representation theory Mathematical physics Combinatorics Number theory Algebraic geometry Low-dimensional topology Mathematical biology Quantitative finance Cherednik's work has been revolutionary in several areas of mathematics. He's known for defining Double Affine Hecke Algebras (DAHA) and proving Macdonald's conjectures in q-combinatorics. His research has produced new theories of hypergeometric functions, DAHA invariants of algebraic knots and links, and new developments in the theory of Rogers-Ramanujan identities. Recent publications show his continued research activity, with work in 2024 on R-matrix quantization of formal loop groups, superpolynomials of algebraic links, and connections between zeta-polynomials, superpolynomials, DAHA, and plane curve singularities. He has also applied his mathematical expertise to real-world problems, particularly in modeling the spread of the COVID-19 virus using Bessel functions and other mathematical approaches.