جستجوی استاد راهنمای دانشگاهی

Gyujin Ohمشاهده پروفایل

استادیار

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

Gyujin Oh is a Ritt Assistant Professor in the Department of Mathematics at Columbia University's Faculty of Arts and Sciences. He received his PhD in mathematics from Princeton University in 2022 under the supervision of Christopher Skinner and Akshay Venkatesh. Prior to joining Columbia, he was a postdoctoral member of the SLMath/MSRI program Algebraic Cycles, L-Values, and Euler Systems in Spring 2023. Dr. Oh's research spans multiple areas of number theory and arithmetic geometry. His primary interests include Algebraic Number Theory, the Langlands Program, Modular Forms, Galois Representations, and Arithmetic Geometry. His work often bridges classical number theory with modern geometric approaches, exploring connections between automorphic forms, cohomology theories, and arithmetic structures. He has made contributions to understanding rigid local systems, the Néron-Ogg-Shafarevich criterion, and various aspects of the Langlands correspondence. His recent publications demonstrate a strong focus on advanced topics in number theory, particularly exploring the intersection of modular forms, Shimura varieties, and Galois representations. His work on generalized Whittaker models, moduli stacks of crystals, and arithmetic quantum local systems reflects his interest in both classical and cutting-edge approaches to number-theoretic problems. The pattern in his research shows a consistent theme of connecting geometric structures with arithmetic phenomena. Dr. Oh is an active educator who has developed comprehensive lecture notes for both undergraduate and graduate courses in Algebraic Number Theory. In Spring 2025, he is teaching Graduate Algebraic Number Theory (MATH GR6657) at Columbia University, covering local and global class field theory, Langlands program connections, and related advanced topics. He has also been involved in organizing and participating in numerous learning seminars including the Moduli of Langlands Parameters seminar, Theta learning seminar, and Deformation theory learning seminar.

Tamas Hauselمشاهده پروفایل

استاد

• Algebraic Geometry
• Arithmetic Geometry
• Moduli Spaces
• +۶ مورد دیگر

Tamas Hausel is a Professor at the Institute of Science and Technology Austria (IST Austria) , holding this position since 2016. He previously served as a Professor and Chair of Geometry at École Polytechnique Fédérale de Lausanne (EPFL) from 2012 to 2016, and held academic roles at the University of Oxford, University of Texas at Austin, University of California, Berkeley, and the Institute for Advanced Study, Princeton. PhD in Mathematics (University of Cambridge, 1999) Diploma in Mathematics (Eötvös Loránd University, Budapest, 1995) Research Focus: Hausel's work bridges algebraic geometry, geometric representation theory, and mathematical physics. His research explores moduli spaces in gauge theory, Higgs bundles, hyperkähler geometry, and the geometric Langlands duality. He has led major projects funded by the European Research Council and other prestigious bodies. Scientific Recognition: Hausel has been awarded two ERC Advanced Grants , the Whitehead Prize , and the Alfred Sloan Research Fellowship . He has delivered invited talks at the International Congress of Mathematicians and the International Congress on Mathematical Physics . 2026-2031: ERC Advanced Grant (EUR 2.5M) 2022-2025: FWF Standalone Grant (EUR 378K) 2013-2018: ERC Advanced Grant (EUR 1.3M) 2009-2013: EPSRC First Grant (GBP 414k) 2005-2013: Royal Society University Research Fellowship (GBP 530k) 2006-2010: NSF Standard Grant (USD 242k)

Steven Bradlowمشاهده پروفایل

استاد

• Differential Geometry
• Gauge Theory
• Algebraic Geometry
• +۳ مورد دیگر

Steven Bradlow is a Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), affiliated with the College of Liberal Arts & Sciences. His research focuses on differential geometry, gauge theory, algebraic geometry, and topology, with particular emphasis on Higgs bundles, moduli spaces, and geometric structures. He holds a PhD from the University of Chicago (1988) and has held additional campus roles as a Professor of Mathematics. Research Interests: Bradlow’s work explores advanced topics such as holomorphic vector bundles, stability conditions, and geometric invariant theory. His studies of Higgs bundles integrate techniques from algebraic geometry, differential geometry, and mathematical physics, addressing questions related to moduli spaces, spectral curves, and representation varieties. He investigates exotic components of surface group representations and their connections to Teichmüller theory, contributing to the broader understanding of geometric structures and their topological properties. Recent Work Trends: Recent publications highlight his focus on Cayley correspondences, higher rank Teichmüller spaces, and uniformization techniques for branched surfaces. His collaborative projects often bridge algebraic and differential geometry, with applications to gauge theories and geometric analysis. He has also contributed to editorial work honoring peers like Karen Uhlenbeck and Oscar García-Prada. Grants & Advising: While specific grant details are not listed, Bradlow has been involved in NSF-funded initiatives (e.g., EMSW21-MCTP, RNMS: Geometric Structures). His advising contributions are reflected in co-authored works with students/postdocs such as Brian Collier and Oscar García-Prada. He is associated with research networks exploring geometric representation theory and mathematical collaborations. Labs/Teams: Active within UIUC’s Department of Mathematics, Bradlow collaborates with researchers in geometry and topology. His work often intersects with interdisciplinary groups studying geometric structures, though specific lab affiliations are not detailed here.

Alexander Beilinsonمشاهده پروفایل

استاد

• Arithmetic algebraic geometry
• Geometric Langlands program
• Algebraic Geometry
• +۲ مورد دیگر

Alexander Beilinson is the David and Mary Winton Green University Professor at the University of Chicago's Department of Mathematics. His research focuses on arithmetic algebraic geometry and the geometric Langlands program. He holds affiliations within the Physical Sciences Division. Beilinson has been honored with the Shaw Prize in Mathematical Sciences (2020), recognized for transformative contributions to algebraic geometry and representation theory. His work bridges number theory, algebraic geometry, and mathematical physics through foundational concepts like Beilinson conjectures and Beilinson–Drinfeld Grassmannians. No specific grants or advising details are listed here, though his research lab/teams are not explicitly mentioned. His office is located at Ryerson 360 C.

• Pure Mathematics
• Mathematical Physics
• Applied Mathematics
• +۳ مورد دیگر

Ambrus Pal is a Reader in Pure Mathematics at the Department of Mathematics, Imperial College London, within the Faculty of Natural Sciences. His research interests span Pure Mathematics, Mathematical Physics, and Applied Mathematics, with a focus on algebraic geometry, number theory, and cohomology theories. He is affiliated with the CNRS-Imperial Abraham de Moivre UMI and contributes to both research and teaching in mathematics. His work often addresses cohomological pairings, arithmetic geometry, and the Brauer-Manin obstruction. Notable projects include studies on p-adic cohomology, motivic Euler characteristics, and the arithmetic Yau-Zaslow formula. Pal has collaborated on international conferences and schools, such as the LMS-CMI Research School on Homotopy Theory and Arithmetic Geometry. His publications reflect a deep engagement with abstract algebraic structures, including quasi-Boolean groups, Grothendieck-Witt rings, and real projective geometry. While his research emphasizes theoretical advances, applications to arithmetic applications and global function fields are recurrent themes. No scientific awards or advising records are explicitly mentioned.

Jörg Teschnerمشاهده پروفایل

استاد

• Mathematical Physics
• Conformal Field Theory
• Geometric Langlands Correspondence
• +۳ مورد دیگر

Prof. Dr. Jörg Teschner is a Professor of Mathematics at the University of Hamburg and a permanent staff member at DESY (Deutsches Elektronen-Synchrotron). He has held these positions since 2016 and 2005, respectively. Since 2024, he serves as the Spokesperson of DFG CRC 1624 'Higher Structures, Moduli Spaces and Integrability'. His academic career includes a Heisenberg Fellowship (2003–2005) and research fellowships at institutions in Berlin, Dublin, Montpellier, and Paris. He earned his doctorate in Physics from Universität Hamburg in 1995 under Hermann Nicolai. His research bridges mathematical physics and string theory, focusing on: Conformal field theory and the geometric Langlands program Quantization of moduli spaces (Hitchin's moduli spaces, Teichmüller theory) Topological string theory and its connections to supersymmetric gauge theories Integrable models and isomonodromic deformations His recent publications (2017–2025) demonstrate a strong focus on topological string theory, geometric Langlands correspondence, and quantization techniques. Key trends include non-perturbative methods in string theory, connections between quantum groups and conformal field theory, and mathematical structures underlying supersymmetric gauge theories. He is an editor of 'Letters in Mathematical Physics' and maintains collaborations with leading institutions in mathematical physics.

• Algebraic Geometry
• Arithmetic Geometry
• Topology
• +۵ مورد دیگر

Siqing Zhang is a Gibbs Assistant Professor at Yale University, where he conducts research in algebraic geometry. From 2023 to 2025, he is a Postdoctoral Member at the Institute for Advanced Study (IAS), mentored by Bhargav Bhatt. He completed his Ph.D. at Stony Brook University in 2023 under Mark Andrea de Cataldo and holds a B.S. in Mathematics and Philosophy from NYU Shanghai (2018). Research Interests: Dr. Zhang's work bridges algebraic geometry, arithmetic, and topology. His research focuses on moduli stacks, characteristic p geometry, perverse sheaves, and geometric applications to the P=W conjecture and non-Abelian Hodge theory. He explores phenomena in positive characteristic, including harmonic metrics, liftings mod p², and logarithmic poles. Publications: His recent articles address cohomological structures in positive characteristic, semistability in non-Abelian Hodge theory, and moduli spaces for Higgs bundles and t-connections. These studies often intersect with geometric invariant theory, algebraic stacks, and topological methods in algebraic geometry. Scientific Contributions: Dr. Zhang has been invited to speak at institutions like the Simons Center, Harvard-MIT, and Clay Mathematics Institute on topics including étale homotopy, non-Abelian Hodge theorems, and characteristic p geometry.

Konstantin Ardakovمشاهده پروفایل

مدرس

• Algebraic geometry
• Noncommutative algebra
• Representation theory
• +۱ مورد دیگر

Konstantin Ardakov is a Tutorial Fellow in Mathematics at Brasenose College and University Lecturer in Pure Mathematics at the University of Oxford. He holds an MMath from the University of Oxford and a PhD from the University of Cambridge. His academic background includes positions at the Universities of Sheffield, Nottingham, Queen Mary University of London before returning to Oxford in 2013. Dr. Ardakov's research focuses on applying techniques from algebraic geometry and noncommutative algebra to study problems in representation theory arising from areas of algebraic number theory such as non-commutative Iwasawa theory and the Langlands programme. His work explores the geometric representation theory of p-adic groups and the development of p-adic analogues of Beilinson-Bernstein localization.

Lara Andersonمشاهده پروفایل

دانشیار

• String Theory
• Mathematical Physics
• Calabi-Yau Manifolds
• +۴ مورد دیگر

Lara Anderson is an Associate Professor in the Department of Physics at Virginia Tech's College of Science. Her research focuses on the intersection of geometry and string theory, particularly in the context of Calabi-Yau manifolds, F-theory, and heterotic string compactifications. She holds a Ph.D. from the University of Oxford, with a thesis in Mathematical String Theory. Her research interests include string phenomenology, geometric structures in compactifications, and the application of machine learning to approximate Calabi-Yau metrics. Key areas of exploration involve fibrations, Yukawa couplings, and moduli stabilization in heterotic and F-theory frameworks. Anderson has been recognized with a Graduate Research Fellowship in 2004. Her work spans over 50 publications, including contributions to understanding dualities between heterotic and F-theory models, the role of spectral covers in heterotic compactifications, and algorithmic approaches to heterotic phenomenology. She has also organized workshops on F-theory and string geometry, reflecting her leadership in interdisciplinary research. Her research has implications for both pure mathematics and particle physics, bridging abstract geometric concepts with concrete physical predictions. Current projects include exploring the geometric constraints in dual string models and developing numerical tools for studying Calabi-Yau metrics.

• Representation Theory
• Lie Groups
• p-adic Groups
• +۵ مورد دیگر

Dan Ciubotaru is Professor of Mathematics at the University of Oxford's Mathematical Institute and Diana Brown Fellow and Tutor in Pure Mathematics at Somerville College. He completed his PhD at Cornell University in 2004 and maintains active research and teaching roles within the university's Mathematical, Physical and Life Sciences Division. His educational background includes: PhD in Mathematics, Cornell University (2004) Ciubotaru specializes in representation theory of reductive Lie groups and p-adic groups, with core focus areas including the unitary dual, local Langlands correspondence, affine Hecke algebras, Coxeter groups, and Dirac operators. His work bridges algebraic structures with harmonic analysis and number theory, particularly through the study of wavefront sets and unipotent representations. This research contributes significantly to understanding automorphic forms and geometric aspects of the Langlands program. Analysis of his 2022-2025 publications reveals concentrated advancement in wavefront set theory for p-adic groups, with recurring themes in unipotent representations, Langlands parameters, and symplectic Dirac operators. His work consistently connects representation-theoretic structures with geometric and arithmetic properties, demonstrating strong collaboration networks across international mathematics communities. His scientific recognition includes: Diana Brown Fellowship (Somerville College) MPLS Teaching Award (2017) Ciubotaru has secured significant research funding as Principal Investigator for EPSRC grants including "New Horizons" EP/V046713/1 (2021-2023) and EP/N033922/1 (2016-2020). He serves on editorial boards for Documenta Mathematica (2015-2024) and Quarterly Journal of Mathematics (2017-present), and teaches advanced courses including "Representations of semisimple Lie algebras" (C2.3). While no dedicated research labs are specified, his extensive co-authorship with scholars like Mason-Brown, Okada, and Barbasch indicates active participation in global representation theory networks, particularly through collaborations on p-adic group representations and Langlands program applications.

Anton Mellitمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Enumerative Geometry
• Representation Theory
• +۴ مورد دیگر

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties. Education: Doctor of Natural Sciences (2008), University of Bonn Master in Applied Mathematics (2004), National Technical University of Ukraine Bachelor in Applied Mathematics (2002), National Technical University of Ukraine Research Interests: Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties Studies Khovanov-Rozansky homology and torus knots Explores connections between Macdonald polynomials and affine Springer fibers Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification Grants & Projects: ERC Consolidator Grant: Macdonald polynomials and related structures in geometry FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.

• Shimura Varieties
• Flag varieties and Grassmannians
• Representations of p-adic groups
• +۳ مورد دیگر

Thomas J. Haines is a Professor in the Department of Mathematics at the University of Maryland, College Park. His academic work centers on advanced topics in number theory and algebraic geometry, with significant contributions to the Langlands program and related fields. He maintains an active research profile with recent publications spanning geometric representation theory and arithmetic geometry. Research Focus: His primary interests include Shimura varieties, flag varieties and Grassmannians for groups and loop groups, representations of p-adic groups, and the Langlands program. These areas intersect with cutting-edge developments in arithmetic geometry and automorphic forms, particularly in the context of local models and geometric Satake theory. The analysis of his recent publications reveals a strong emphasis on geometric structures underlying number-theoretic objects. Key themes include the study of singularities in local models, normality properties of Schubert varieties, and combinatorial models for representation-theoretic constructions. His work frequently bridges abstract algebraic geometry with concrete arithmetic applications. Teaching Responsibilities: Currently instructing Math 406 (Introduction to Number Theory) and Math 636 (Representation Theory) for Fall 2024. His course materials extend to graduate-level topics including commutative algebra and Hecke algebras, reflecting his research expertise. Haines collaborates extensively with leading mathematicians including Timo Richarz, Joao Lourenco, and Ulrich Goertz. His editorial work includes co-editing the 2020 Cambridge University Press volume Shimura Varieties in the London Mathematical Society Lecture Note Series. While no explicit student lists or award mentions appear in available records, his sustained publication record since the early 2000s demonstrates significant scholarly impact.

Eugen Hellmannمشاهده پروفایل

استاد

• Arithmetic Geometry
• Representation Theory
• Langlands Program
• +۷ مورد دیگر

Prof. Dr. Eugen Hellmann is a full Professor at the Mathematical Institute of the University of Münster , within the Department of Mathematics and Computer Science . He is a leading researcher in arithmetic geometry and representation theory, actively contributing to the CRC 1442 Geometry: Deformations and Rigidity and Mathematics Münster excellence cluster. His work focuses on the p-adic aspects of the Langlands program, moduli spaces of Galois representations, and p-adic Hodge theory. Research Interests: His primary research areas include Arithmetic Algebraic Geometry , the Langlands Program (especially its p-adic and categorical formulations), p-adic Hodge Theory , p-adic Galois Representations , and p-adic Automorphic Forms . His work often involves the study of (phi,Gamma)-modules, eigenvarieties, and deformation spaces, aiming to understand the deep connections between automorphic forms and Galois representations in the p-adic setting. Publication Trends: His most recent publications (2022–2023) show a strong focus on the derived and categorical aspects of the p-adic Langlands program, including the derived category of Hecke algebras and a categorical framework for the entire program. Earlier works established foundational results on the smoothness of eigenvarieties, the geometry of trianguline varieties, and the structure of moduli spaces for Galois representations. His research consistently bridges abstract algebra, number theory, and algebraic geometry. Scientific Awards: No specific awards or fellowships are mentioned in the provided texts. Advising and Grants: While a list of former research group members (e.g., Dr. Claudius Heyer, Dr. Damien Junger) is provided, their exact status as PhD advisees is not explicitly confirmed. He leads significant research projects funded by the DFG, including CRC 1442 - A01: Automorphic forms and the p-adic Langlands programme and CRC 1442 - A02: Moduli spaces of p-adic Galois representations , as well as a project within the EXC 2044 - A1: Arithmetic, geometry and representations cluster. He is also a co-author on a preprint titled "Patching and multiplicities of p-adic eigenforms," indicating active collaboration on grant-funded research. Labs and Teams: He is a central figure in the arithmetic geometry group at Münster. He organizes and leads the Research Seminar "p-adic arithmetic" and the Mittagsseminar "Arithmetic" , which serve as key forums for his research group and collaborators to present and discuss current work. His research team has included several postdoctoral researchers and doctoral students, contributing to a vibrant research environment focused on cutting-edge problems in number theory.

Tony Fengمشاهده پروفایل

استادیار

• Number Theory
• Arithmetic Geometry
• Langlands Program
• +۲ مورد دیگر

Tony Feng is an Assistant Professor at the University of California, Berkeley , appointed in 2022. His research focuses on foundational areas of mathematics, particularly in algebraic and geometric disciplines. Research Interests Number Theory Arithmetic Geometry Langlands Program Algebraic Topology Representation Theory Contact: fengt@berkeley.edu , Office: 859 Evans Hall

Vladimir Drinfeldمشاهده پروفایل

استاد

• Geometric Representation Theory
• Algebraic Geometry
• Representation Theory
• +۳ مورد دیگر

Vladimir Drinfeld is the Harry Pratt Judson Distinguished Service Professor in the Department of Mathematics at the University of Chicago. His office is located at Ryerson 360 B, and his research focuses on the Geometric Langlands program and geometric representation theory. He collaborates with Mitya Boyarchenko to develop the theory of character sheaves for unipotent groups, extending Lusztig's work to unipotent groups over finite fields. Drinfeld's research interests include understanding irreducible characters of unipotent groups via perverse sheaves, bridging algebraic geometry and representation theory. His recent contributions highlight interdisciplinary approaches to fundamental problems in mathematics. Awards: 2024 Shaw Prize in Mathematical Sciences Drinfeld advises PhD student Mitya Boyarchenko. His work is supported by collaborations with institutions like the Stevanovich Center and IMSI, though specific grants are not detailed here. His office and department are housed in Eckhart Hall, 5734 S University Ave, Chicago IL 60637.