جستجوی استاد راهنمای دانشگاهی

Patrick Allenمشاهده پروفایل

دانشیار

• Number Theory
• Galois Representations
• Automorphic Forms
• +۳ مورد دیگر

Patrick Allen is an Associate Professor in the Department of Mathematics and Statistics at McGill University, where he contributes to research in number theory and related fields. He is affiliated with the Montreal Number Theory Group and the Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA), focusing on areas such as Galois representations, automorphic forms, and algebraic number theory. His work bridges algebraic geometry and arithmetic, with a particular emphasis on modularity lifting theorems and deformation theory. Allen's research interests include the study of CM fields, modular forms, and elliptic curves, alongside investigations into the Langlands program and p-adic methods. He has published extensively on topics such as potential automorphy, monodromy, and adjoint Selmer groups. His contributions address questions in arithmetic algebraic geometry and cohomological automorphic forms, often intersecting with representation theory. While his articles span over 20 years, recent work (2020–2023) emphasizes the modularity of Galois representations over CM fields and the application of automorphic techniques to solve problems in number theory. Allen’s research often involves collaboration with international experts in algebraic number theory and arithmetic geometry. Scientific Awards: None explicitly listed in the provided materials. Advising & Grants: No formal advisees or grant details are listed in the text. His affiliations with CICMA suggest participation in collaborative research initiatives, though specific grants are not mentioned. Labs/Teams: Active member of the Montreal Number Theory Group and CICMA, contributing to inter-university collaborative projects in algebraic number theory.

Raphaël Beuzart-Plessisمشاهده پروفایل

پژوهشگر ارشد

• Harmonic analysis
• Differential geometry
• Algebraic number theory
• +۵ مورد دیگر

Raphaël Beuzart-Plessis is a CNRS Research Fellow affiliated with Aix-Marseille University and the Institute of Mathematics of Marseille (I2M) at Luminy Campus. He specializes in advanced areas of mathematics, including harmonic analysis, automorphic forms, representation theory, and number theory, with a focus on unitary groups and conjectures like Gan-Gross-Prasad. His work bridges algebraic geometry, differential geometry, and operator theory. Arithmetic, Geometry, Logic and Representations Group (AGLR) 2022-2027 ERC RELANTRA grant recipient Research interests span automorphic representations, L-functions, periods of automorphic forms, and harmonic analysis on real spherical spaces. He works extensively on the local and global Gan-Gross-Prasad conjectures, endoscopy, and supercuspidal representations. His recent publications analyze Plancher1el formulas, spherical characters, and congruences of automorphic forms. His 15 most recent publications (2014-2022) address topics such as the Gan-Gross-Prasad conjecture, Jacquet-Rallis's fundamental lemma, and the Asai Rankin-Selberg integrals. These works reflect his expertise in automorphic forms, representation theory, and number theory, often involving collaborations with leading mathematicians. 2016-2017 Peccot Prize for young mathematicians under 30 2022-2027 ERC RELANTRA grant for research in automorphic forms and representation theory Beuzart-Plessis has no listed students or laboratory teams but participates in the AGLR-RGR (Reduction Group Representations) team and has been an invited speaker at the 2022 International Congress of Mathematicians. His career includes guest lectures at Collège de France, including four sessions on Period factorizations and Plancherel formulas in 2017.

Elena Mantovanمشاهده پروفایل

استاد

• Arithmetic Geometry
• Number Theory
• Moduli Spaces
• +۳ مورد دیگر

Elena Mantovan is the Taussky-Todd-Lonergan Professor of Mathematics at the California Institute of Technology (Caltech), within the Department of Mathematics under the Division of Physics, Mathematics and Astronomy. She holds a Laurea from the University of Padova (1995), an M.A. from Harvard University (1998), and a Ph.D. from Harvard (2002). Her research focuses on Arithmetic Geometry and Number Theory, particularly the study of moduli spaces of abelian varieties, Barsotti-Tate groups, and the arithmetic theory of Shimura varieties. Her work contributes to the Langlands program, exploring connections between automorphic forms and Galois representations. Elena joined Caltech as an Assistant Professor in 2005, advancing to Associate Professor (2010), full Professor (2010-2023), and her current title (2023-). She served as Executive Officer for the Department of Mathematics from 2016 to 2019. Her research interests emphasize Shimura varieties, Newton stratifications, and cohomological studies, reflecting her expertise in algebraic geometry and number theory. Despite no listed awards, her scholarly contributions include foundational work on Rapoport-Zink spaces and Igusa varieties. Elena’s advising and grants are not explicitly detailed in the provided texts, though her role as an academic leader suggests involvement in mentorship and institutional projects. She maintains an office in Sloan Hall and collaborates on initiatives like the Southern California Number Theory Day Conference and the Number Theory seminar.

Sean Howeمشاهده پروفایل

استادیار

• arithmetic geometry
• algebraic geometry
• representation theory
• +۲ مورد دیگر

Sean Howe is an Assistant Professor in the Department of Mathematics at the University of Utah, where he has been employed since July 2019. His research is supported by NSF grants DMS-2201112 and DMS-2501816. In the academic year 2023-2024, he was a Friends of the Institute for Advanced Study Member at the special year on p-adic arithmetic geometry at the Institute for Advanced Study. Dr. Howe received his PhD from the University of Chicago in 2017 under the supervision of Matt Emerton. Prior to his position at Utah, he was an NSF Postdoctoral Scholar at Stanford University from September 2017 to June 2019. He earned a joint master's degree from Leiden University and Universite Paris-Sud 11 through the ALGANT program in 2012 and completed his undergraduate studies at the University of Arizona. Dr. Howe's research spans arithmetic and algebraic geometry, representation theory, and number theory, with a particular focus on p-adic aspects. His work often explores the connections between geometry and number theory through the lens of p-adic methods, including p-adic Hodge theory, perfectoid spaces, and the Langlands program. He has made significant contributions to understanding cohomological structures in mixed characteristic settings, the geometry of moduli spaces, and the statistical properties of L-functions. His extensive publication record demonstrates a strong trajectory in advancing p-adic geometry and its applications. Recent work shows increasing focus on cohomological smoothness in mixed characteristic, p-adic periods, and the interplay between random matrix theory and arithmetic statistics. His research often bridges abstract theoretical frameworks with concrete computational approaches. NSF Postdoctoral Scholar NSF grants DMS-2201112 and DMS-2501816 Dr. Howe is an active mentor, currently advising five PhD students: Minhua Cheng, Madison Delmoe, Shea Engle, Abhay Goel, and Suo Jun Tan. He has successfully graduated two PhD students: Matthew Bertucci (2025) and Hanlin Cai (2024). He also regularly mentors undergraduate researchers, with notable projects including Emil Geisler's work on stable multiplicities in configuration space cohomology and Daniel Koizumi's software for computing braid monodromy of cubic surfaces. His teaching portfolio includes advanced courses in algebraic topology, number theory, and algebra, reflecting his broad expertise across pure mathematics. He has taught courses such as Math 6950 (Topics in Algebraic Topology), Math 4400 (Introduction to Number Theory), and Math 6320 (Modern Algebra II).

Frank Calegariمشاهده پروفایل

استاد

• Algebraic Number Theory
• Langlands Programme
• Galois Representations
• +۳ مورد دیگر

Frank Calegari is a Professor of Mathematics at the University of Chicago. His primary research interests include algebraic number theory, the Langlands program, Galois representations, and arithmetic geometry. He has made significant contributions to understanding reciprocity laws linking Galois representations to automorphic forms. His work often intersects with cohomology of arithmetic groups, motives, and the arithmetic of periods. Prof. Calegari has advised numerous PhD students, including Maria Stadnik, Shiva Chidambaram, and Eric Stubley. He serves on editorial boards for prestigious journals such as Algebra & Number Theory, Essential Number Theory, and the Annals of Mathematics. He actively participates in academic conferences and programs, including organizing the 2020 Arithmetic of the Langlands Program in Bonn. His research spans modularity theorems for abelian varieties, cohomology of arithmetic groups, and the study of L-functions. Key recent work includes resolving the unbounded denominators conjecture and advancing potential automorphy results over CM fields. Calegari frequently collaborates with leading mathematicians, including George Boxer, Vincent Pilloni, and Yilin Yang. He teaches advanced courses such as Honors Calculus (Math 16100) at the University of Chicago. His expository work includes lecture notes on motives and L-functions, as well as a blog compiling mathematical insights (Persiflage). Calegari’s contributions to number theory have been recognized through his editorial roles and invited lectures at institutions like the ICM and Clay Mathematics Institute.

Dima Arinkinمشاهده پروفایل

استاد

• Algebraic Geometry
• Geometric Langlands Program
• Moduli Spaces
• +۳ مورد دیگر

Dima Arinkin is a Professor in the Department of Mathematics at the University of Wisconsin–Madison, specializing in algebraic geometry with significant contributions to geometric representation theory and mathematical physics. His research focuses on: Geometric Langlands Program: Developing frameworks connecting automorphic forms and Galois representations through geometric methods Moduli Spaces: Analyzing spaces of algebraic connections, Higgs bundles, and their compactifications D-modules: Studying systems of linear differential equations via algebraic geometry Integrable Systems: Investigating geometric structures in soliton theory and Painlevé equations Irregular Singularities: Exploring connections with irregular behavior on algebraic curves Analysis of his publications (2008-2016) reveals consistent advancement in geometric Langlands through derived algebraic geometry techniques, particularly in relating singular support of sheaves to automorphic forms and establishing oper structures for connections. No scientific awards are documented in the provided materials. No information regarding student advisement or research grants appears in the source texts.

Benjamin Gammageمشاهده پروفایل

پژوهشگر ارشد

• Geometry
• Algebra
• Mathematical physics
• +۶ مورد دیگر

Benjamin Gammage is a Benjamin Peirce Fellow in the Department of Mathematics at Harvard University. Beginning in Summer 2025, he will transition to an Assistant Professor position at the University of Toronto. His academic journey includes a PhD from UC Berkeley under David Nadler, where his thesis focused on microlocal sheaves and mirror symmetry, and an undergraduate degree with honors from the University of Chicago. Dr. Gammage's research centers on quantum geometry, exploring the deep connections between geometry, algebra, and mathematical physics. His work particularly focuses on homological mirror symmetry and 3d mirror symmetry, investigating how quantum field theories reveal profound relationships between seemingly different geometric spaces. He has made significant contributions to understanding how the structure of SYZ fibrations mediates mirror symmetry and how perverse schobers can categorify aspects of geometric representation theory. His research has followed a clear trajectory from foundational work on mirror symmetry for affine hypersurfaces toward increasingly sophisticated structures in 3-dimensional field theories. The most recent publications demonstrate a progression from studying 1- and 2-dimensional quantum field theories toward fully categorified 3d mirror symmetry, revealing deep structural connections between representation theory and symplectic geometry. 2023-present: Principal Investigator, NSF DMS grant #2305257 2020: NSF Postdoctoral Research Fellowship 2019: Kenneth Ribet and Lisa Goldberg Award in Algebra 2015: NSF Graduate Research Fellowship 2014: Paul R. Cohen Prize Dr. Gammage has served as a minor thesis advisor for Grant Barkley (2022) and has been actively involved in mentoring through Harvard's Graduate Admissions Committee and as a Math Includes mentor. His research is supported by significant grant funding, including his current NSF grant. He has organized numerous seminars including the Open Neighborhood Seminar, Relative Langlands seminar, and various topics in mirror symmetry and string theory. His collaborative work spans multiple institutions, with frequent collaborations at institutions including the University of Toronto, UC Berkeley, and various international research centers. His research program bridges pure mathematics with theoretical physics, creating new frameworks for understanding geometric structures through quantum field theory perspectives.

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.

Peter Schneiderمشاهده پروفایل

استاد

• Arithmetic geometry
• Representation theory
• Cohomology theories
• +۷ مورد دیگر

Prof. Dr. Peter Schneider is a faculty member at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science and the Department of Mathematics and Computer Science . He is a principal investigator in the CRC 1442 Geometry: Deformations and Rigidity and contributes to the Mathematics Münster cluster. University: University of Münster School: Faculty of Mathematics and Computer Science Department: Department of Mathematics and Computer Science Academic Rank: Professor His research focuses on arithmetic geometry and representation theory , particularly the p-adic Langlands program , cohomology theories in mixed characteristics, and noncommutative algebraic structures. He investigates derived categories of p-adic representations, moduli spaces of Galois representations, and geometric approaches to automorphic forms. He has supervised numerous students, including Torsten Schoeneberg (2009), Marten Bornmann (2009), and Marius Kley (2016, 2019). His collaborative works with Rachel Ollivier, Otmar Venjakob, and Marie-France Vigneras explore modular Hecke algebras, Iwasawa theory, and (phi, Gamma)-modules. Emails: pschnei@wwu.de pschnei@uni-muenster.de Workshops Organized: Noncommutative Algebras (2006) Instructional workshop on noncommutative main conjectures (2011) International workshop on K-types for p-adic groups (2003)

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.

Florian Herzigمشاهده پروفایل

استاد

• Number Theory
• Representation Theory

Florian Herzig is a Professor in the Department of Mathematics at the University of Toronto. His research focuses on Number Theory and Representation Theory, particularly mod p and p-adic representations of reductive groups. Education: Ph.D., Harvard University Certificate of Advanced Study in Mathematics (Part III), University of Cambridge B.A., University of Cambridge Research Interests: Herzig works on modular and p-adic representations, with applications to the Langlands program. His work explores Serre-type conjectures, local-global compatibility, and cohomology of Shimura varieties. Scientific Awards: He was named a Fellow of the American Mathematical Society in 2025. Publications & Collaborations: Herzig has co-authored major works with Christophe Breuil, Yongquan Hu, and Benjamin Schraen. His research appears in leading journals like Inventiones Mathematicae and Duke Mathematical Journal. Teaching & Seminars: He has taught graduate courses on linear algebraic groups and p-modular representations. He participates in the Arizona Winter School and international workshops on representation theory.

• Number Theory
• Algebra
• Langlands Program
• +۳ مورد دیگر

Bence Hevesi is a MathInGreaterParis Postdoctoral Fellow at the Laboratoire de Mathématiques d'Orsay, affiliated with Université Paris-Saclay. Previously, he completed his PhD (2020–2023) at the London School of Geometry and Number Theory (LSGNT), a collaboration between King's College London, Imperial College London, and University College London. His primary supervisor during his PhD was Professor Fred Diamond, with additional supervision by Ana Caraiani. He holds a Master's degree in Mathematics, supervised by David Hansen, focusing on the Geometry of the de Rham affine Grassmannian . Research Interests: Bence specializes in Number Theory, particularly the Langlands program. His work explores global and p-adic aspects, including automorphic forms, Galois representations, and arithmetic geometry. He actively contributes to advancing methodologies in p-adic Hodge theory and representation theory. Publications/Preprints: His recent preprint, Ordinary parts and local-global compatibility at l=p , reflects his engagement with cutting-edge topics in number theory. This work bridges local and global perspectives in the Langlands program, with implications for understanding p-adic structures in arithmetic geometry. Awards & Grants: No specific awards or grants are mentioned, but his postdoctoral fellowship under MathInGreaterParis highlights institutional recognition of his research potential. His PhD at LSGNT was supported by the UK's Engineering and Physical Sciences Research Council (EPSRC). Labs & Collaborations: Based at Laboratoire de Mathématiques d'Orsay, he collaborates with leading researchers in arithmetic geometry and number theory. His work intersects with CNRS and international networks, fostering interdisciplinary advancements in algebraic number theory.

Pierre Colmezمشاهده پروفایل

پژوهشگر

• Arithmetic geometry
• Galois representations
• p-adic Hodge theory
• +۱ مورد دیگر

Pierre Colmez is a French mathematician affiliated with the École Polytechnique (1993-2010) and the National Center for Scientific Research (CNRS) at the Institut de Mathématiques de Jussieu since 2010. His academic journey includes postdoctoral positions at the Institut Joseph Fourier (Grenoble) and the Max Planck Institute for Mathematics (Bonn). Ph.D. in 1988 (Grenoble) under Jean-Marc Fontaine and John Coates École Polytechnique: Professor (2006-2010), Teaching Professor (1993-2005) Colmez’s research lies at the intersection of arithmetic geometry , Galois representations , p-adic Hodge theory , and the Langlands program . His work explores connections between automorphic forms, p-adic analysis, and cohomological structures in number theory. His most recent publications focus on p-adic cohomology, Drinfeld towers, and syntomic complexes, reflecting his expertise in advanced topics of nonarchimedean geometry and Galois cohomology . Collaborations with Gabriel Dospinescu and Wiesława Nizioł highlight his contributions to modern arithmetic geometry. Prix Léonid Frank (2016) Aisenstadt Chair (2015) Prix Fermat (2005) Prix Gabrielle Sand et Guido Triossi (1999) Colmez has held editorial roles at Astérisque (1999-2004), directed the SMF Mathematical Documents collection (2001-2016), and served on editorial boards for Annales de l'ENS and Publications de l'IHES . His academic network includes collaborations with Laurent Berger, Christophe Breuil, and Jean-Pierre Serre.

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.