جست‌وجوی استاد و پژوهشگر

Julie Bergnerمشاهده پروفایل

استاد

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

Julie Bergner is a Professor in the Department of Mathematics at the University of Virginia. She is currently on sabbatical during 2024-25 as a Visiting Fellow at Clare Hall, University of Cambridge. Her research focuses on Homotopy Theory, Algebraic Topology, Algebraic K-Theory, and Category Theory, with a particular emphasis on higher category theory and homotopical algebraic structures. University of Virginia (Professor, Department of Mathematics) University of Cambridge (Visiting Fellow at Clare Hall, 2024-25) Her work spans 2-Segal objects, model categories, Waldhausen constructions, and applications to topological field theories. She has received NSF CAREER awards for her research on equivariant topological field theories and higher cluster categories. Her recent publications explore combinatorial models, enriched categories, and homotopy limits in the context of functor calculus and higher structures. Julie Bergner contributes to mathematical exposition through articles on writing papers in the mathematical sciences and homotopy theory applications. She is actively involved in the department's topology seminar and supports collaborative learning initiatives. Her research has implications in algebraic topology, category theory, and their interdisciplinary applications.

Steven B Bradlowمشاهده پروفایل

استاد

• Differential Geometry
• Gauge Theory
• Higgs Bundles
• +۷ مورد دیگر

Steven B Bradlow is a Professor of Mathematics at the University of Illinois at Urbana-Champaign, specializing in differential geometry, gauge theory, and Higgs bundles. His work focuses on moduli spaces, geometric structures, and surface group representations. He holds a PhD from the University of Chicago (1988). Research Interests: Bradlow’s research explores advanced topics including Higgs bundles, moduli space properties, Lie group actions, and Teichmüller theory. His work bridges algebraic geometry, differential geometry, and mathematical physics, with applications to non-Abelian monopoles, spectral curves, and geometric analysis. Publications: His recent work emphasizes Cayley correspondences, Teichmüller spaces, and exotic components of SO(p,q) representations. These studies highlight his expertise in unifying geometric and algebraic perspectives. Awards: AMS Fellow (2018), Fulbright Specialist Award (2014) Collaborations: Bradlow collaborates internationally, particularly with researchers like Oscar García-Prada and Peter Gothen, advancing Higgs bundle theory and geometric representation varieties. His editorials and conference contributions further cement his role as a leader in the field.

Zvezdelina Stankovaمشاهده پروفایل

استاد آموزشی

• Algebraic Geometry
• Representation Theory
• Combinatorics
• +۲ مورد دیگر

Zvezdelina Stankova is a Teaching Professor of Mathematics and Director and Founder of the Berkeley Math Circle at the University of California, Berkeley . Her contact details include an office in 713 Evans Hall and the email stankova@math.berkeley.edu . Research Interests: • Algebraic Geometry • Representation Theory • Combinatorics • Olympiad Problem-Solving • Mathematics Education Publications and Research Trends: Her work bridges Combinatorics and Algebraic Geometry , with a focus on permutation patterns, avoidance, and moduli spaces of curves. She has also contributed significantly to Mathematics Education through her leadership in the Berkeley Math Circle, emphasizing problem-solving techniques and outreach programs for students. Teaching and Outreach: Stankova has taught various courses at UC Berkeley, including MATH 52 Calculus II (2025), MATH 110 Linear Algebra , and MATH 74 Transition to Proofs . She actively engages with the Berkeley Math Circle, providing resources for mathematical competitions and advanced training for students.

• Algebra
• Geometry
• Topology
• +۵ مورد دیگر

Jonas Bergström is a Professor in the Department of Mathematics at Stockholm University specializing in Algebra, Geometry, Topology, and Combinatorics. His research focuses on arithmetic geometry, moduli spaces, Siegel modular forms, and number theory, with extensive collaborations across international institutions including KTH Royal Institute of Technology. His research interests span algebraic geometry, topology, combinatorics, and number theory, with particular emphasis on moduli spaces of curves, abelian varieties, Siegel modular forms, and arithmetic geometry. Bergström's work bridges theoretical mathematics with computational approaches, often developing algorithms for complex mathematical structures. His research group actively explores commutative and homological algebra, complex and real algebraic geometry, arithmetic geometry, homotopy theory, and Ramsey theory. The most recent publications reveal a strong focus on cohomology of moduli spaces, Siegel modular forms, abelian varieties over finite fields, and L-functions. His work demonstrates a consistent pattern of combining algebraic geometry with number theory, particularly investigating arithmetic properties of algebraic varieties and developing computational methods for modular forms. The research shows increasing emphasis on algorithmic approaches and connections to theoretical physics through moduli space cohomology. Bergström has supervised several PhD students including Sjoerd de Vries (current), Stefano Marseglia, and Olof Bergvall (with Prof. Carel Faber). He currently mentors postdoctoral researchers Séverin Philip and Thomas Wennink, while former postdocs include Angelina Zheng, Valentijn Karemaker, Oliver Leigh, and Alex Samuel Bamunoba. His research is supported through collaborations with major mathematical networks including the Nordic number theory network and joint seminars with KTH. He is affiliated with the Algebra and Geometry Seminar (KTH and SU) and maintains active research connections through multiple collaborative projects, including joint work with Gerard van der Geer and Carel Faber on Hecke operators and Siegel modular forms. Bergström also contributes to open mathematical research through GitHub repositories containing computational results on cohomology of moduli spaces.

Jared Weinsteinمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Arithmetic Geometry
• +۳ مورد دیگر

Jared Weinstein is a Professor in the Department of Mathematics and Statistics at Boston University, serving as the Departmental Ombud. He specializes in Number Theory and Algebraic Geometry, with a focus on p-adic geometry, shtukas, and moduli spaces. His research explores connections between arithmetic geometry and homotopy theory, including contributions to the Langlands program and local Shimura varieties. Education: AB from Harvard University (undergraduate), PhD from University of California, Berkeley. Postdoctoral work at UCLA and the Institute for Advanced Study before joining BU in 2011. Research interests include arithmetic geometry, p-adic Hodge theory, and the geometry of moduli spaces. His work often intersects with topics like perfectoid spaces, diamonds, and chromatic homotopy theory. Recent articles highlight advancements in modularity of elliptic curves over function fields and the Kottwitz conjecture for local shtuka spaces. No scientific awards are explicitly listed, but his extensive publications reflect significant contributions to his field. Advising and grants details are not provided here. His work is closely tied to the v-topology and related geometric frameworks in algebraic geometry.

• Algebraic Number Theory
• Elliptic Curves
• Arithmetic Geometry
• +۸ مورد دیگر

Professor Tim Dokchitser is the Heilbronn Chair in Algebraic/Arithmetic Geometry at the School of Mathematics, University of Bristol. His research focuses on algebraic number theory, elliptic curves, arithmetic of L-functions, Galois theory, and computational algebra. He actively explores connections between number theory and finite groups, using computer experiments to advance conjectures like the Birch-Swinnerton-Dyer Conjecture. BSc, Lund University MSc, Lund University PhD, University of Utrecht MA, University of Cambridge His research spans hyperelliptic curves over local fields, Weil representations, tame Galois torsion, and finite group character formulas. Recent work includes computational approaches to Frobenius traces and étale cohomology in hyperelliptic curve quotients. Articles (2023-2025) highlight advancements in arithmetic geometry, zero-knowledge cryptography, and Galois representation theory. Scientific awards include a University Research Fellowship (2011-2014) for elliptic curves and L-functions. He leads projects like the 2015-2018 study on hyperelliptic curves and contributes to collaborations across arithmetic geometry. His computational methods have inspired conjectures in motivic cohomology and modular deformations.

• 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.

Maxim Kontsevichمشاهده پروفایل

استاد

• Mathematical Physics
• Algebraic Geometry
• Deformation Quantization
• +۵ مورد دیگر

Maxim Kontsevich is a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS), holding the AXA Chair for Mathematics since 1995 and a visiting chair at Rutgers University (one month annually since 1997). Born in 1964 in Khimki, USSR, he earned his PhD from Bonn University in 1992. His career includes visiting positions at Harvard, the Institute for Advanced Study, and Berkeley, where he was a professor from 1993 to 1995. His research spans mathematical physics, algebraic geometry, and non-commutative geometry. Notable contributions include deformation quantization, mirror symmetry, and motivic integration. His work bridges algebraic structures with geometric and physical concepts, influencing areas like topological field theories, string theory, and integrable systems. Awardees of Fields Medal (1998), Crafoord Prize (2008), and Breakthrough Prize (2014), he also holds editorial roles at Compositio Mathematica and Publications Mathématiques IHÉS. His over 50 publications explore advanced topics such as quantum cohomology, Hodge theory, and categorical structures in geometry.

• Algebraic Geometry
• Tropical Geometry
• Combinatorics
• +۳ مورد دیگر

Kristin Shaw is a Professor in the Department of Mathematics at the University of Oslo, specializing in Algebra, Geometry and Topology. She leads the research group on Algebraic and Topological Cycles in Tropical and Complex Geometries, funded by the BFS. Her office is located in room 1114 of Niels Henrik Abels hus, with contact information including email krisshaw@math.uio.no and phone +47 22855940. Shaw's research focuses on the connections between combinatorics and algebraic geometry over the real and complex numbers, with particular emphasis on tropical geometry. Her work bridges abstract mathematical theory with concrete geometric structures, exploring how combinatorial methods can illuminate deep properties of algebraic varieties. She has made significant contributions to understanding matroids, real algebraic curves, and the topology of hypersurfaces through tropical techniques. Her research demonstrates how combinatorial structures can reveal fundamental insights about algebraic varieties and their topological properties. Analysis of Professor Shaw's recent publications reveals a consistent focus on tropical geometry and its applications to classical algebraic geometry problems. Her work frequently examines the interplay between real and complex geometries, with particular attention to combinatorial structures underlying algebraic varieties. Key themes include matroid theory, enumerative geometry, and the topology of algebraic varieties, demonstrating how tropical methods can provide new insights into longstanding problems in algebraic geometry. Her research shows remarkable depth across multiple subfields while maintaining a coherent theoretical framework that connects combinatorial and geometric approaches. Professor Shaw leads the research group on Algebraic and Topological Cycles in Tropical and Complex Geometries, which is funded by the BFS. Prior to her position at the University of Oslo, she held postdoctoral positions at the Max Planck Institute Leipzig, the Technical University of Berlin, the University of Toronto, and participated in the Fields' Institute semester in Combinatorial Algebraic Geometry. Her collaborative work spans multiple international institutions, reflecting her active engagement in the global mathematical research community.

Zsolt Patakfalviمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Commutative Algebra
• Birational Geometry
• +۳ مورد دیگر

Zsolt Patakfalvi is an Associate Professor at École Polytechnique Fédérale de Lausanne (EPFL), holding positions in the School of Basic Sciences (SB) within the Department of Mathematics (MATH). He is affiliated with the Chair of Algebraic Geometry (CAG) and the Section of Mathematics for Engineers (SMA-ENS). Additionally, he serves as Director of SMA-GE and holds roles in academic governance bodies like the Conference of Section Directors (CDS) and SB Faculty Management. His research focuses on Algebraic Geometry, particularly in birational geometry, positive characteristic methods, moduli theory, and mixed characteristic algebra. He explores topics such as Hodge theory, singularities, and applications to arithmetic geometry. Notable contributions include work on the minimal model program, test ideals, and counterexamples to classical conjectures in positive characteristics. He supervises doctoral students in areas like algebraic geometry and commutative algebra, including Jefferson Baudin, Léo Navarro Chafloque, and Linus Rösler. His past advisees include Emelie Arvidsson and Quentin Posva. Patakfalvi’s publications frequently address foundational questions in geometry, with recent work extending into perfectoid spaces and globally-regular varieties. He coordinates courses such as 'Algebra III - Rings and Fields' and 'Perfectoid spaces' at EPFL, reflecting his commitment to both research and education. His academic service includes managing educational programs within SB-SMA and contributing to institutional decision-making through CDS membership.

Wilkinson Amieمشاهده پروفایل

استاد

• Ergodic Theory
• Smooth Dynamical Systems
• Dynamical Systems of Geometric Origin
• +۳ مورد دیگر

Amie Wilkinson is a Professor of Mathematics at the University of Chicago since 2012, previously holding positions at Northwestern University. She specializes in dynamical systems, ergodic theory, and geometry. Her research explores actions of discrete groups, smooth dynamics, and geometric systems. She holds a Ph.D. from UC Berkeley (1995) and an A.B. from Harvard (1989). Wilkinson has received prestigious awards including the Levi L. Conant Prize (2020) and the Ruth Lyttle Satter Prize (2011). She led the NSF-funded 'Robust and Generic Mechanisms in Smooth Dynamics' ($600,000, 2014-2019). Her work spans geodesic flows, Lyapunov exponents, and rigidity phenomena in dynamical systems. Education: Ph.D. UC Berkeley (1995), A.B. Harvard (1989) Key Positions: Boas Assistant Professor (Northwestern, 1996–1999), Associate/Full Professor roles at Northwestern (1999–2011) Awards: AMS Fellow (2013), Invited Speaker at International Congress of Mathematicians (2010) Her research emphasizes the interplay between geometry and dynamics, with contributions on ergodicity, hyperbolic systems, and foliation structures.

Chenyang Xuمشاهده پروفایل

استاد

• Algebraic Geometry
• Higher Dimensional Geometry
• K-stability
• +۴ مورد دیگر

Chenyang Xu is a Professor at Princeton University's Department of Mathematics, specializing in Higher Dimensional Geometry with a focus on K-stability, Fano varieties, and moduli spaces. His research bridges algebraic geometry and complex geometry, contributing to foundational questions in birational geometry and geometric invariant theory. Position: Professor at Princeton University Research Interests: Algebraic Geometry, K-stability, Fano varieties, Moduli spaces, Birational Geometry He leads the Simons Collaboration on Moduli of Varieties, advancing understanding of geometric structures and their applications. Notable achievements include resolving key conjectures in K-stability and establishing foundational results on the birational geometry of Fano varieties. Recipient of the 2019 New Horizons in Mathematics Prize for his contributions to algebraic geometry. Active in academic service, he contributes to conferences and editorial roles, including co-editing volumes on higher-dimensional algebraic geometry.

• Algebraic Geometry
• Hodge Theory
• Mathematical Physics
• +۳ مورد دیگر

Matt Kerr is a Professor of Mathematics at Washington University in St. Louis, where he has been affiliated since 2010. He holds a doctorate in Mathematics from Princeton University (2003) and has held prior positions at UCLA, the Max Planck Institute, the University of Chicago, and Durham University. His research focuses on Algebraic Geometry, Hodge Theory, and Mathematical Physics, with notable contributions to period maps, normal functions, and the arithmetic of motives. He has been awarded the Guido L. Weiss Teaching and Service Award (2024), a Simons Foundation Travel Grant (2024-2029), and the Barry M. Goldwater Scholarship (1996-1997). Dr. Kerr has organized numerous conferences, including the Western Algebraic Geometry Symposium (2023), and co-edited volumes such as Period Domains, Algebraic Cycles, and Arithmetic . He currently supervises four Ph.D. students (Xiaojiang Cheng, RJ Acuna, Devin Akman, Rachel Wu) and has mentored postdoctoral researchers like Ivan Horozov and Patricio Gallardo. His teaching spans advanced graduate courses (e.g., Complex Analysis, Algebraic Geometry) and undergraduate programs, including contributions to the Washington University Math Circle and the National Alliance for Doctoral Studies mentorship initiative. His work bridges pure mathematics and theoretical physics, particularly through studies of Feynman integrals, Calabi-Yau varieties, and quantum curves. He is actively involved in academic service, including roles on hiring committees, grant reviewing, and mentoring programs. Recent research themes include regulators of algebraic cycles, singularities in Hodge theory, and compactifications of moduli spaces. Grants: NSF grants (2011–2024), FRG grants, Simons Foundation awards, and EPSRC funding. Awards: Multiple teaching and service recognitions, including the 2024 Weiss Award. Publications: Over 40 peer-reviewed articles and books, including collaborations with leading mathematicians like Phillip Griffiths and Spencer Bloch.

Dhruv Ranganathanمشاهده پروفایل

استاد

• Algebraic Geometry
• Enumerative Geometry
• Gromov-Witten Theory
• +۴ مورد دیگر

Professor Dhruv Ranganathan is affiliated with the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, working within the Algebraic Geometry research group. His research spans foundational and applied aspects of algebraic geometry, focusing on enumerative geometry, Gromov-Witten theory, moduli spaces, tropical geometry, logarithmic structures, and classical geometry of curves. Research Focus Enumerative geometry and Gromov-Witten theory, particularly in toric varieties and tropical settings. Moduli spaces of curves and stable maps, with expansions and logarithmic structures. Applications of tropical geometry to classical problems in algebraic geometry. Brill-Noether theory and its combinatorial analogues for graphs and finite structures. Recent Publications The articles reflect a strong emphasis on logarithmic and tropical geometry, with connections to moduli spaces, enumerative invariants, and combinatorial algebraic structures. Topics include Donaldson–Thomas theory, double ramification cycles, chip firing on graphs, and motivic zeta functions. Contact Email: dr508@dpmms.cam.ac.uk Room: E1.01, Telephone: 01223 337990 Personal Homepage

Mark Kisinمشاهده پروفایل

استاد

• Galois representations
• p-adic Hodge theory
• Shimura varieties

Mark Kisin is the Perkins Professor of Mathematics at Harvard University. His research focuses on Galois representations, p-adic Hodge theory, and Shimura varieties. He has made significant contributions to number theory and algebraic geometry. Research Interests Kisin's work bridges deep questions in number theory with algebraic geometry. His primary areas include Galois representations, p-adic Hodge theory, and Shimura varieties, with applications to modular forms and arithmetic geometry. Recent Publications His recent articles explore topics such as prismatic cohomology, essential dimension, Honda-Tate theory, and Hecke orbits. These works highlight his expertise in Shimura varieties and Galois representations, often involving collaborations with leading mathematicians like B. Farb and J. Wolfson. Editorial Involvement Kisin has served on the editorial boards of prestigious journals including Inventiones (2007–present), Cambridge Journal of Mathematics (2013–present), and Algebra and Number Theory (2013–2015).