Mahdi Asgari is an Associate Professor in the Department of Mathematics at Oklahoma State University. He specializes in Automorphic Forms , Number Theory , and Representation Theory , with a focus on L-functions, local Langlands conjectures, and functoriality for classical and spin groups. PhD in Mathematics from Purdue University (2000) Active in organizing the Texas-Oklahoma Representations and Automorphic Forms (TORA) conference series since 2012 His recent research involves Rankin-Selberg L-functions, combinatorics of Arthur trace formulas, and toric varieties. He has collaborated with prominent mathematicians like Freydoon Shahidi, Ralf Schmidt, and James W. Cogdell. Mahdi Asgari has taught a wide range of courses at Oklahoma State University, including advanced linear algebra, combinatorics, calculus, and specialized topics like automorphic forms on GL(n) and spectral theory of automorphic forms.
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.
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.
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.
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 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 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.
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.
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.
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.
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 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
Go Yamashita is a Lecturer at the Research Institute for Mathematical Sciences (RIMS), Kyoto University. His work focuses on advanced topics in arithmetic geometry and related fields. Email: gokun@kurims.kyoto-u.ac.jp Personal website: http://www.kurims.kyoto-u.ac.jp/~gokun/ His research spans several areas of mathematics: p-adic Hodge Theory and related structures like (φ,Γ)-modules and p-adic differential equations Iwasawa Theory and the Tamagawa number conjecture of Bloch-Kato Motivic Structures including mixed Tate motives and Tannakian fundamental groups Langlands Program with emphasis on automorphy lifting and p-adic Langlands correspondence Anabelian Geometry and inter-universal Teichmüller theory Algebraic Cycles and K-theory connections
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.
John Bergdall is an Assistant Professor in the Department of Mathematical Sciences at the University of Arkansas (joined in 2022), affiliated with the Fulbright College of Arts & Sciences. His research focuses on p-adic automorphic forms and Galois representations, supported by NSF grants (DMS-2302284 and DMS-2401152) and a Simons Foundation award (713782). He holds a Ph.D. from Brandeis University (2013, advisor: Joël Bellaïche) and a B.S. from the University of Minnesota (2008). Education: Ph.D. in Mathematics (2008-2013, Brandeis University); B.S. in Mathematics (2003-2008, University of Minnesota). Research Interests: Algebra, Number Theory, p-adic Analysis, Modular Forms, and Galois Representations. His work explores p-adic families of automorphic forms, eigenvarieties, and L-invariants, with recent contributions to resolving gaps in the ghost conjecture and analyzing reductions of Galois representations. Awards/Grants: NSF DMS-2302284 (2023-), NSF DMS-2401152 (2024), Simons Foundation 713782 (2020-), Robert C. Connor Faculty Fellowship (2023-24). Teaching: Courses include Abstract Algebra, Number Theory, and Elliptic Curves at the University of Arkansas and Bryn Mawr College. He emphasizes student-centered learning and has developed innovative materials for cryptography and mathematics education. Professional Activities: Organized conferences on L-functions and eigenvarieties, served on panels addressing pandemic impacts on academia, and participated in visiting researcher programs at Max-Planck-Institut and IHÉS.
