جست‌وجوی استاد و پژوهشگر

Sanath Devalapurkarمشاهده پروفایل

پژوهشگر ارشد

• Algebraic Topology
• Geometric Representation Theory
• Chromatic Homotopy Theory
• +۲ مورد دیگر

Sanath Devalapurkar is a Dickson instructor in the Department of Mathematics at the University of Chicago for the 2025-26 academic year, with upcoming positions at the Institute for Advanced Study (Fall 2026) and Johns Hopkins University (as Assistant Professor thereafter). His academic career spans prestigious institutions including Harvard University and MIT. His educational background includes: PhD in Mathematics from Harvard University (completed 2025), advised by Mike Hopkins and Dennis Gaitsgory Undergraduate degree in Mathematics (Course 18) with a minor in Physics (Course 8) from MIT (completed 2020) Devalapurkar's research spans multiple interconnected areas of modern mathematics. His primary interests lie in algebraic topology, particularly chromatic homotopy theory and its connections to other fields. He investigates characteristic p geometry, exploring deep connections between homotopy theory and arithmetic geometry. His work in geometric representation theory focuses on the geometric Langlands program and its generalizations, especially through the lens of higher category theory and derived algebraic geometry. A unifying theme in his research is the application of homotopical methods to solve problems in representation theory and algebraic geometry, often revealing unexpected connections between seemingly disparate mathematical domains. His work demonstrates sophisticated use of spectral sequences, EHP sequences, and Hopf fibrations to bridge abstract homotopy theory with concrete geometric problems. His publication record demonstrates a consistent trajectory from foundational work in unstable homotopy theory toward increasingly sophisticated applications in geometric representation theory. Early publications established results in chromatic phenomena and Thom spectra, while more recent work explores intricate connections between geometric Langlands duality and generalized cohomology theories. His research shows particular strength in identifying and exploiting analogies between different mathematical structures, such as the relationship between the geometric Satake equivalence and chromatic homotopy theory. His papers frequently combine deep technical results with broader conceptual frameworks that illuminate connections across mathematical disciplines. As an educator, Devalapurkar has taught a variety of courses including Math 99r on integrable systems (Spring 2024) and Math 1b (Calculus, Series, and Differential Equations) at Harvard (Fall 2022). He has served as a teaching assistant for advanced courses in algebraic number theory (Math 223a) and algebraic topology (Math 231b). He has mentored numerous reading projects through Harvard's Directed Reading Program, covering topics from surfaces and Chern classes to prismatic cohomology. He also actively mentors high school students through the PRIMES USA program, demonstrating commitment to nurturing mathematical talent at all levels. Additionally, he organizes seminars including one on "Arnold's trinities" with Thomas Brazelton and another on relative Langlands duality with Ben Gammage.

Tobias Schmidtمشاهده پروفایل

استاد

• Algebra
• Number Theory
• Representation Theory
• +۳ مورد دیگر

Prof. Tobias Schmidt is a Professor in the Department of Mathematics at Bergische Universität Wuppertal, affiliated with the Faculty of Mathematics and Natural Sciences. His research focuses on Algebra, Number Theory, and Representation Theory, with a particular emphasis on D-modules, p-adic analysis, and algebraic geometry. He has supervised multiple doctoral students, including Ziqian Yin and Julian Reichardt. Recent research includes studies on equivariant D-modules, Lubin-Tate moduli spaces, and Hecke modules, with publications in journals like Mathematische Zeitschrift and Representation Theory. He actively participates in academic conferences and collaborates with institutions in Rennes, Strasbourg, and beyond. His work bridges geometric and arithmetic aspects of representation theory, contributing to the p-adic Langlands program and related fields. Teaching includes courses on linear algebra and seminars on algebraic topology and representation theory. His research spans over two decades, with key contributions to D-module theory, distribution algebras, and modular representation theory. Professional service includes organizing conferences like the 2021 GDR TLAG colloquium and participation in workshops across Europe.

Harris Michaelمشاهده پروفایل

استاد

• Arithmetic Geometry
• Langlands Program
• Automorphic Forms and Representations
• +۴ مورد دیگر

Harris Michael is a Professor at Columbia University's Department of Mathematics, with prior appointments at Université Paris 7 (1994–2014), Brandeis University (1989–1994), and other institutions. He holds a B.A. from Princeton University (1973), M.A. and Ph.D. from Harvard University (1976, 1977, advised by Barry Mazur). His research focuses on arithmetic geometry, the Langlands program, automorphic forms, Shimura varieties, and Galois representations. Notable awards include the Clay Research Award (2007) and membership in the American Academy of Arts and Sciences (2019). He has been an invited speaker at major international congresses, including the 2014 Seoul ICM and the 2002 Beijing ICM. His work has also been supported by prestigious grants, such as the ERC Advanced Grant AAMOT (2012–2017). Education: B.A. Mathematics, Princeton University (1973); M.A. Mathematics, Harvard University (1976); Ph.D. Mathematics, Harvard University (1977, advisor: Barry Mazur). Affiliations: Columbia University (2013–present), Université Paris 7 (1994–2014), Brandeis University (1989–1994). Key Achievements: Tackling fundamental problems in number theory and algebraic geometry, with contributions to the Langlands program and geometric representation theory. His research integrates advanced techniques from algebraic geometry, number theory, and automorphic forms to address conjectures central to modern mathematics. He has also held visiting positions at the Institut des Hautes Études Scientifiques (France), Oxford University, Harvard University, and the Institute for Advanced Study (multiple visits).

Vivek Shendeمشاهده پروفایل

استاد

• Quantum Mathematics
• Symplectic Geometry
• Algebraic Geometry
• +۷ مورد دیگر

Vivek Shende is a Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark (SDU), where he leads research in quantum mathematics, symplectic geometry, and mathematical physics. His work bridges deep theoretical mathematics with concepts from string theory and quantum field theory. His primary research interests include: Homological Mirror Symmetry Fukaya Categories and Wrapped Fukaya Categories Microlocal Sheaf Theory Topological Open Strings Lagrangian and Symplectic Geometry Algebraic Geometry and Higgs Bundles Shende's recent publications (2023–2025) in premier journals reflect a consistent focus on categorical and geometric structures in mirror symmetry, with frequent collaborations with leading mathematicians such as Sheel Ganatra, John Pardon, and David Nadler. His work often involves advanced tools from derived categories, homological algebra, and microlocal analysis to solve problems in symplectic topology and mathematical physics. He has been recognized with the Villum Investigator Grant (2021), a major Danish research award supporting his project Mathematics of the topological open string (2021–2027). He was also a participant in the DNRF Chair project (2021–2024), further affirming his status as a leading figure in mathematical research. Shende has no named advisees listed in the provided material, but his role as Principal Investigator indicates leadership in mentoring and guiding research. He is actively involved in large-scale collaborative research and has no indication of retirement or former status.

Jackson van Dykeمشاهده پروفایل

پژوهشگر ارشد

• Topological Quantum Field Theory
• Higher Algebraic Geometry
• Quantum Topology
• +۳ مورد دیگر

Dr. Jackson van Dyke is a Research Fellow at the Technical University of Munich under Prof. Dr. Claudia Scheimbauer in the Department of Mathematics (M2) at the TUM School of Computation, Information and Technology. His research explores anomalous properties of functorial quantum field theories. Broad applications include classification of topological orders Higher algebraic geometry Relative Langlands program Publications span 2023-2024 articles on projective TQFT symmetries, 2020 work on knot Floer homology, and 2017-2020 studies in radiation material testing and fission modeling. His presentation history includes talks at University of Lisbon, University of Hamburg, and Simons Collaboration events.

• Differential Geometry
• Complex Geometry
• Gauge Theory
• +۹ مورد دیگر

Dr. David Baraglia is a Senior Lecturer in the School of Computer and Mathematical Sciences at the University of Adelaide, within the Faculty of Sciences, Engineering and Technology. His primary affiliation is with the Mathematical Sciences department. He is actively involved in research supervision for Masters and PhD students. His research focuses on differential geometry, complex geometry, and gauge theory, with particular emphasis on moduli spaces of geometric structures on manifolds. Key areas include applications of gauge theory to 4-manifolds, Higgs bundles, and connections to the Geometric Langlands Program. He also explores geometric aspects of mathematical physics, such as T-duality and twisted K-theory in quantum field theory and string theory. Recent work includes studies on exotic smooth structures, surface isotopy constraints in 4-manifolds, and equivariant Seiberg-Witten theories. His research has implications for understanding topological invariants, knot concordance, and group actions on manifolds. Dr. Baraglia’s academic contributions span over two decades, with publications in leading journals and active engagement in the mathematical physics community. His webpage and research profile indicate ongoing work in geometric analysis and topological dualities.

Fabian Januszewskiمشاهده پروفایل

استاد

• Number Theory
• Algebra
• Representation Theory
• +۸ مورد دیگر

Prof. Dr. Fabian Januszewski is a Professor at the University of Paderborn , affiliated with the Institute of Mathematics within the Faculty of Computer Science, Electrical Engineering and Mathematics . He leads the Algebra and Number Theory research group, focusing on Shimura varieties , automorphic representations , L-functions , Iwasawa theory , and representation theory . He is actively involved in the TRR 358 collaborative research center, specifically subproject C03. Current research on integral structures in geometry and higher categorical methods . Recent projects include non-abelian p-adic L-functions and non-vanishing of central L-values . Teaching includes courses like Algebraic Number Theory II , Linear Algebra II , and seminars on number theory. Email: fabian.januszewski@uni-paderborn.de | Office: D2.231, Warburger Str. 100, Paderborn

• Birational geometry
• non-abelian Hodge theory
• P=W conjecture
• +۵ مورد دیگر

Mirko Mauri is a Junior CNRS Professor at the Institute of Mathematics of Jussieu-Paris Rive Gauche, University of Paris Cite. Previously, he held positions as Professor Monge at École polytechnique, group leader of the Junior Trimester Term on Algebraic geometry at the Hausdorff Institute for Mathematics in Bonn, IST-BRIDGE and Marie Skłodowska-Curie postdoctoral fellow at ISTA in Hausel group, Postdoctoral Assistant Professor at University of Michigan, and Postdoctoral Fellow at Max Planck Institute for Mathematics in Bonn. Mauri obtained his PhD in Mathematics at Imperial College London as a member of the London School of Geometry and Number Theory, under the supervision of Paolo Cascini. His doctoral thesis was titled "The geometry of dual complexes." Mirko Mauri's research focuses on several interconnected areas of algebraic geometry and related fields. His primary interests include birational geometry , where he investigates properties of algebraic varieties through birational transformations; non-abelian Hodge theory , particularly the P=W conjecture which connects topology of character varieties with Hodge theory of moduli spaces; and the study of holomorphic symplectic varieties including hyperkähler manifolds and their Lagrangian fibrations. He also works on dual complexes associated with log Calabi-Yau pairs, non-archimedean geometry with applications to essential skeletons, and symplectic topology focusing on Lagrangian fibrations and mirror symmetry phenomena. An analysis of Mauri's recent publications reveals a strong focus on the interplay between birational geometry, Hodge theory, and symplectic structures. His work frequently centers on the P=W conjecture and its geometric implications, the structure of dual complexes in birational geometry, and the study of hyperkähler manifolds and their degenerations. Many of his papers bridge multiple areas, demonstrating how techniques from one field can illuminate problems in another, particularly the connections between algebraic geometry, topology, and non-archimedean geometry. Mauri has organized several significant workshops and reading groups, including the "Higher-dimensional log Calabi–Yau pairs" workshop at the American Institute of Mathematics (2024), the "New advances on the Dolbeault moduli spaces" workshop at École polytechnique (2024), and the "Birational workshop" at the Hausdorff Institute for Mathematics in Bonn (2023). He has also organized reading groups on topics such as the Tate-Shafarevich group, degeneration of hyperkähler varieties, and the geometric Langlands conjecture.

Andrew Fioriمشاهده پروفایل

دانشیار

• Algebraic Number Theory
• Algebraic Geometry
• Shimura Varieties
• +۵ مورد دیگر

Andrew Fiori is an Associate Professor and Co-Chair of Mathematics at the University of Lethbridge, Faculty of Arts and Science, Department of Mathematics & Computer Science. He has been with the university since Fall 2017, becoming Associate Professor in July 2021 after serving as Assistant Professor. Prior to this, he held postdoctoral positions at the University of Calgary (2015-2017) and Queen's University (2013-2015). His academic background includes a Ph.D. (2013) and M.Sc. (2009) in Mathematics from McGill University, and a B.Math Honours in Computer Science and Pure Mathematics from the University of Waterloo (2007). He has approximately 24 months of work experience as a software developer. Fiori's research spans Algebraic Number Theory and Algebraic Geometry, with particular focus on Algebraic Groups, Shimura Varieties, Lattices, and their connections to each other and to broader mathematical fields. His most active research program concerns geometric and categorical approaches to the p-adic local Langlands correspondence, as part of the Automorphic Representations Research Group. He also investigates geometric interpretations of the local Langlands correspondence for p-adic groups, pseudo-primes, subgroup classifications of algebraic groups, and computational number theory problems. His publications from 2012-2017 demonstrate a consistent focus on advanced topics in number theory and algebraic geometry, particularly exploring structures related to p-adic rings, CM-elliptic curves, and symmetric spaces. The research shows progression from foundational work on orthogonal symmetric spaces to more specialized investigations of Hermitian lattices and Euler characteristics in algebraic contexts. PIMS Postdoctoral Fellow Professor Fiori actively supervises graduate students and postdoctoral researchers, with current and former students working on topics including zero-density bounds for zeta functions, Frobenius primality tests, and geometric approaches to the Langlands program. He has also supervised numerous undergraduate research projects, particularly through NSERC-USRA funding, focusing on prime counting functions and computational number theory. He is involved with the Automorphic Representations Research Group and maintains an active role in both teaching and research at the University of Lethbridge, where his office is located in C546.

• Algebraic K-theory
• Algebraic Number Theory
• Algebraic Geometry
• +۳ مورد دیگر

Prof. Oliver Bräunling is a full professor at the Department of Mathematics, Albert-Ludwigs-Universität Freiburg, leading the Chair of Algebra and Geometry (Lehrstuhl für Algebra und Geometrie). His research focuses on algebraic K-theory, algebraic number theory, and representation theory, with significant contributions to homological algebra and category theory. He earned his PhD in Mathematics from the same university in 2012 and completed his habilitation in 2018. Bräunling actively advises three PhD students: Julius Giesler, Lennart Gehrmann, and Tobias Columbus. He received the prestigious DFG Heisenberg Fellowship in 2022. His research explores intricate connections between algebraic structures and geometric/topological concepts, with recent work emphasizing derived categories, model categories, and Langlands program aspects. Over 15 key publications from 2009–2023 reflect his expertise in advanced algebraic methodologies. Bräunling teaches graduate courses in algebra and co-organizes the university's algebra seminar. He collaborates with international research networks and serves on editorial boards for specialized journals.

Alexander Paulinمشاهده پروفایل

دانشیار

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

Alexander Paulin is an Associate Professor of Mathematics at the University of California, Berkeley . He hails from the Highlands of Scotland and has dedicated his career to teaching and researching Mathematics. Education: Undergraduate at University of Cambridge , PhD in Number Theory at Imperial College London under Kevin Buzzard. Prior roles include Morrey Assistant Professor at UC Berkeley, Lecturer at the University of Nottingham , and Lecturer at King's College London . His research focuses on number theory and geometry , particularly the p -adic and geometric aspects of the Langlands program . His work spans arithmetic geometry , algebraic geometry , p -adic analytic geometry, D-module theory , p -adic Hodge theory, motive theory , and higher category theory . The two most recent articles (2011–2012) explore p -adic automorphic forms and geometric aspects of the Eigencurve within the Langlands framework. These works emphasize interdisciplinary connections between number theory , algebraic geometry , and representation theory . He teaches courses such as Calculus 1B , Linear Algebra , and Abstract Algebra . His teaching philosophy stresses interactive learning, foundational understanding, and the importance of homework and discussion sections. Office hours are held daily at 796 Evans Hall .

Avi Zeffمشاهده پروفایل

مدرس

• Number Theory
• Arithmetic Geometry
• P-adic Geometry
• +۷ مورد دیگر

Avi Zeff is a Lecturer and RTG Postdoctoral Fellow in the Department of Mathematics at the University of California, Berkeley , appointed in 2025. His research focuses on number theory and arithmetic geometry, particularly the Langlands program, Kudla's program, and special cycles. Education: PhD in Mathematics, Columbia University (2020–2025), advised by Chao Li Research Interests: Number Theory : Modularity, automorphic forms, and L-functions Arithmetic Geometry : Special cycles, p-adic geometry Algebraic Geometry : Shimura varieties, geometric aspects of Langlands Teaching & Seminars: Teaching Introduction to Complex Analysis (Math 185) in Fall 2025 Organized seminars on the geometrization of the real local Langlands program , p-adic Langlands , and Bloch-Kato conjecture Developed teaching materials for calculus and advanced mathematics courses

M. Ram Murtyمشاهده پروفایل

استاد

• Number Theory
• Zeta Functions
• Sieve Methods
• +۵ مورد دیگر

**M. Ram Murty** is a distinguished academic and researcher in the Department of Mathematics at Queen's University, Canada, where he holds the title of A. V. Douglas Distinguished University Professor and Queen's Research Chair. He earned his Ph.D. from the Massachusetts Institute of Technology (MIT) under Harold Stark. His primary research interests include number theory, zeta functions, sieve methods, modular forms, graph theory, and combinatorics, with notable contributions to the Langlands program and the theory of L-functions. Murty has authored over 150 publications and multiple influential books, including Problems in Analytic Number Theory , Transcendental Numbers , and Indian Philosophy: An Introduction . He has supervised numerous doctoral and master's students, guiding them in areas ranging from number theory to philosophical studies. His academic journey includes visiting professorships at institutions like the Tata Institute of Fundamental Research, Harish-Chandra Research Institute, and the Indian Institute of Technology. Professionally, Murty has been recognized with prestigious awards such as the Balaguer Prize (1996), Jeffery-Williams Prize (2003), and the CRM-Fields-PIMS Prize (2024). He is a Fellow of the Royal Society of Canada, the American Mathematical Society, and the Canadian Mathematical Society. His work bridges pure mathematics with interdisciplinary topics, including philosophical explorations of mathematics and its cultural significance.

Daniel Sageمشاهده پروفایل

استاد

• The geometric Langlands program
• Geometric and combinatorial methods in representation theory
• Hopf algebras and quantum groups
• +۱ مورد دیگر

Daniel Sage serves as Professor and Chair of the Department of Mathematics at the University at Buffalo, where he maintains an active research program spanning pure and applied mathematics. His leadership role as department chair underscores his institutional significance within the university's academic structure. His educational trajectory demonstrates exceptional academic achievement: AB in Mathematics, Summa cum laude, Harvard University (1989) SM in Mathematics, University of Chicago (1990) PhD in Mathematics, University of Chicago (1995) Sage's research agenda bifurcates into two distinct but equally rigorous domains. His primary work in pure mathematics centers on the geometric Langlands program, where he investigates opers, connections on algebraic curves, and moduli spaces through geometric and combinatorial representation theory. This includes significant contributions to quantum groups and Hopf algebras. Concurrently, he explores composite materials science through the G-closure problem. His secondary research stream analyzes bibliometric patterns, examining citation dynamics, h-index validity, and research evaluation methodologies across disciplines. Analysis of his 15 most recent publications (2013-2023) reveals a strong concentration in geometric representation theory and mathematical physics, with approximately 75% of articles addressing Langlands program extensions, quantum group structures, and algebraic geometry applications. The remaining 25% focuses on scientometric investigations, particularly citation network analyses comparing Nobel laureates and Fields medalists. This dual focus demonstrates unusual breadth across theoretical mathematics and empirical research evaluation. No scientific awards or honors are documented in the provided materials. While his departmental chair position suggests administrative responsibilities, no specific information regarding graduate student advisement, grant funding, or research mentorship activities appears in the source texts. The absence of laboratory facilities or dedicated research teams in the documentation indicates Sage's work is primarily theoretical, conducted through individual scholarship and collaborative mathematical research rather than experimental or equipment-dependent investigations.

Nikita Nekrasovمشاهده پروفایل

استاد

• Quantum Field Theory
• String Theory
• Conformal Field Theory
• +۳ مورد دیگر

Nikita Nekrasov is a Professor at the Yang Institute for Theoretical Physics and a founding faculty member of the Simons Center for Geometry and Physics at Stony Brook University. He holds a PhD from Princeton University, supervised by Nobel laureate David Gross. Previously, he was a permanent professor at the Institut des Hautes Études Scientifiques (IHES, France) before joining Stony Brook in 2013. Education: PhD in Physics, Princeton University (Advisor: Prof. David Gross) Research Interests: Nekrasov explores quantum field theory, string theory, and their interconnections. His work centers on the BPS/CFT correspondence linking two-dimensional conformal field theories and four-dimensional supersymmetric gauge theories. Key themes include classical/quantum integrability, geometric Langlands program, and applications in theoretical physics. Notable Contributions: His 2002 conjectures on BPS/CFT duality and 2004 formulation of the correspondence have influenced integrability and geometric Langlands research. Recent work focuses on quantum algebras, surface defects, and Painlevé equations. Awards: Prix Jacques Herbrand (2004) Hermann Prize (2004) Compositio Prize (2009) Dannie Heineman Prize in Mathematical Physics (2023) Labs & Affiliations: Active at the Simons Center for Geometry and Physics and the Yang Institute for Theoretical Physics, advancing interdisciplinary research in theoretical physics and mathematics.