جست‌وجوی استاد و پژوهشگر

• Number theory
• Arithmetic and algebraic geometry
• Arithmetic statistics
• +۲ مورد دیگر

Dr. Soumya Sankar is a Postdoctoral Researcher at Utrecht University's Mathematical Institute in the Fundamental Mathematics department, working as part of the XL Rational Points Consortium. Previously, she served as a Ross Assistant Professor at Ohio State University and was a Gamelin Postdoctoral Fellow at MSRI during Fall 2020. Her research expertise spans several interconnected areas of pure mathematics: Number theory Arithmetic and algebraic geometry Arithmetic statistics Rational points on moduli stacks Dr. Sankar is an active organizer within the mathematical community, currently co-organizing the Algebraic Geometry Seminar at Utrecht University with Sara Mehidi and the Arakelov Theory seminar of the Rational Points Consortium. Her organizational contributions include the Mathematical Research Community on Explicit computations with Stacks (June 2023), the online seminar series New Developments in Number Theory during the pandemic, and the Madison Moduli Weekend Online conference (September 2020). She is dedicated to inclusive mathematical practices, explicitly aligning with Federico Ardila's axioms regarding equitable mathematical potential and student dignity. Dr. Sankar will be teaching the Seminar on Quadratic Forms (WISM568) in Spring 2025 at Utrecht University.

Shrawan Kumarمشاهده پروفایل

استاد

• Representation Theory
• Algebraic Geometry
• Lie Algebras
• +۵ مورد دیگر

Shrawan Kumar is the J.R. & L.S. Parker Distinguished Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. He joined UNC in 1991 and has held the distinguished professorship since 2010. Additionally, he maintains an adjunct position at the Tata Institute of Fundamental Research (2006–present). His academic journey includes a B.Sc. from Gorakhpur University (1973), an M.Sc. from Bombay University (1975), and a Ph.D. from Bombay University (1986) under the supervision of S. Ramanan. Kumar's research centers on representation theory, algebraic geometry, and topology, with a focus on semisimple groups, Kac-Moody algebras, and their flag varieties. He investigates moduli spaces of principal bundles, eigenvalue problems, and geometric structures in representation theory. Key areas include Frobenius splitting, tensor product decompositions, and conformal blocks, blending algebraic, geometric, and combinatorial methods. His recent publications (2020–2025) demonstrate sustained engagement with representation theory, Kac-Moody algebras, and algebraic geometry. Trends include advances in equivariant K-theory, conformal field theory generalizations, combinatorial counterexamples, and homological structures in Lie theory. Works frequently intersect mathematical physics, showcasing applications in quantum algebra and vertex operator algebras.

Andrey Smirnovمشاهده پروفایل

دانشیار

• Enumerative geometry
• Mathematical physics
• Representation theory
• +۵ مورد دیگر

Andrey Smirnov is an Associate Professor of Mathematics at the University of North Carolina at Chapel Hill, where he also holds the distinguished position of William R. Kenan, Jr. Scholar. He is based in the Department of Mathematics within the College of Arts and Sciences, conducting research at the intersection of algebraic geometry, mathematical physics, and representation theory. His research spans several interconnected areas including enumerative geometry , mathematical physics , representation theory , combinatorics , and number theory . A particular focus of his work involves quantum K-theory, mirror symmetry, and integrable systems, where he has made significant contributions to understanding the deep connections between algebraic geometry and quantum physics. His recent publications demonstrate a consistent focus on quantum geometric methods and their applications to enumerative problems . The work prominently features themes of 3D mirror symmetry , quantum difference equations , and stable envelopes , establishing new bridges between algebraic geometry, representation theory, and mathematical physics. These contributions have advanced our understanding of quantum cohomology and K-theory of algebraic varieties. Scientific Honors: William R. Kenan, Jr. Scholar - a prestigious endowed professorship recognizing outstanding contributions to research and scholarship Contact Information: Email: asmirnov@live.unc.edu Office: 307A Phillips Hall, University of North Carolina at Chapel Hill Department: Department of Mathematics, College of Arts and Sciences

Rui Wangمشاهده پروفایل

مدرس

• Symplectic geometry
• Contact geometry
• Mathematical physics

Rui Wang is a Lecturer in the Department of Mathematics at the University of California, Berkeley, appointed in 2019. Her research focuses on symplectic geometry, contact geometry, and mathematical physics, with publications in journals including Acta Mathematica Sinica and Nagoya Mathematical Journal. Her research interests include: Symplectic geometry : Orbifold Gromov-Witten theory, double ramification cycles, and weighted blowups Contact geometry : Contact Cauchy-Riemann maps, asymptotic convergence, and Morse-Bott analysis Mathematical physics : Symplectic vortices, Hamiltonian systems, and geometric PDEs Dr. Wang's recent publications (2014-2022) reveal consistent focus on geometric structures in symplectic/contact topology, particularly moduli space analysis and asymptotic behavior of solutions. Key themes include orbifold applications in Gromov-Witten theory and rigorous treatment of pseudo-holomorphic curves in contact manifolds. She actively supervises undergraduate research through Math 199 independent studies at UC Berkeley, guiding projects on Riemann surfaces, representation theory, Morse theory, and characteristic classes. Her teaching portfolio spans foundational courses (Precalculus, Calculus) to advanced topics (Differential Geometry, Abstract Algebra), reflecting deep commitment to mathematics education across multiple institutions.