جستجوی استاد راهنمای دانشگاهی

Dinesh S. Thakurمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Function Field Arithmetic
• +۷ مورد دیگر

Professor Dinesh S. Thakur holds the position of Professor in the Department of Mathematics at the University of Rochester. He earned his PhD from Harvard University and has made significant contributions to number theory, arithmetic geometry, and function field arithmetic. His research focuses on developing theories related to zeta functions, Drinfeld modules, and p-adic analysis in finite characteristic environments. Education: PhD in Mathematics, Harvard University Research Interests: Thakur’s work integrates advanced topics such as elliptic curves, modular forms, Diophantine equations, and the arithmetic of function fields. He has pioneered studies on multizeta values, p-adic continued fractions, and the distribution of Diophantine exponents in finite characteristic. His research bridges classical number theory with modern algebraic geometry and p-adic analysis. Teaching & Mentorship: Thakur has taught a wide range of courses, including graduate-level topics in function field arithmetic, algebraic geometry, and number theory. He has advised 11 PhD students and several master’s students, whose theses span themes like elliptic Carmichael numbers, Drinfeld modular forms, and multizeta relations. Notable advisees include Javier Diaz-Vargas (1996), George Todd (2015), and Yao-Rui Yeo (2021). Outreach & Contributions: Thakur participates in initiatives like the Arizona Winter School and Olympiad training programs in India. He maintains an active seminar series at UR on topics such as L-values, Fermat’s Last Theorem, and automatic sequences. His work is accessible through his personal page and MathSciNet.

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

Prof. Peter Scholze is a leading mathematician at the Max Planck Institute for Mathematics in Bonn, specializing in algebraic geometry and arithmetic geometry. He holds the academic rank of Professor and is part of the Arbeitsgruppe Algebraische Geometrie und Darstellungstheorie. His research focuses on foundational questions in algebraic geometry, number theory, and representation theory, particularly through the lens of the Langlands program, p-adic Hodge theory, and perfectoid spaces. Scholze has pioneered geometric approaches to the local Langlands correspondence and introduced revolutionary concepts like prismatic cohomology and condensed mathematics. He actively contributes to academia through advanced courses on topics such as geometrization of the Langlands program, étale cohomology, and condensed mathematics. His work bridges algebraic geometry with representation theory, addressing fundamental problems in arithmetic geometry and p-adic analysis. Scholze’s research outputs include seminal papers on perfectoid spaces, prismatic cohomology, and the geometrization of local Langlands correspondence. He collaborates extensively with leading mathematicians globally, contributing to collaborative research initiatives like the ARGOS seminar and the Habiro ring project. His teaching engagements include advanced lectures on algebraic geometry, representation theory, and p-adic geometry, reflecting his commitment to training the next generation of researchers. Despite no explicitly listed awards in the provided text, Scholze is widely recognized as a Fields Medalist (2018) and a leading figure in modern mathematics.

Brian Conradمشاهده پروفایل

استاد

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

Brian Conrad is a Professor of Mathematics at Stanford University, specializing in number theory and arithmetic geometry. He holds a position in the Department of Mathematics and has contributed extensively to algebraic geometry, algebraic number theory, and representation theory. His research encompasses foundational work on reductive groups, pseudo-reductive groups, and their applications in arithmetic contexts. Dr. Conrad is an editor for the Journal of the AMS, Algebra and Number Theory, and IMRN. He has organized numerous learning seminars, including those on étale cohomology and the BSD conjecture, and has taught advanced courses on algebraic geometry, class field theory, and modular forms. His work bridges classical algebraic geometry with modern arithmetic applications, emphasizing foundational proofs and geometric intuition. His editorial roles and seminar leadership reflect his commitment to advancing mathematical exposition and education. Education details are not explicitly provided in the texts, but his academic trajectory includes significant contributions to the field through publications and mentorship. Dr. Conrad's research has led to advancements in areas such as the classification of algebraic groups, étale cohomology, and the arithmetic of elliptic curves. His collaborative work with mathematicians like Chai, Oort, and Prasad has produced influential monographs, including Pseudo-reductive Groups and Complex Multiplication and Lifting Problems .

Urs Hartlمشاهده پروفایل

استاد

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

Prof. Dr. Urs Hartl is a faculty member in the Department of Mathematics and Computer Science at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science. He is an Investigator in Mathematics Münster and a member of the Collaborative Research Centre (CRC) 1442 'Geometry: Deformations and Rigidity.' His research focuses on arithmetic geometry, representation theory, algebraic number theory, and arithmetic of function fields. He holds a prominent position in the field, contributing to areas such as Shimura varieties, p-adic Hodge theory, and the Langlands program. Affiliations: Member of CRC 1442 Geometry Investigator in Mathematics Münster Research Interests: Arithmetic algebraic geometry Algebraic number theory Arithmetic of function fields Structure theory of Shimura varieties p-adic Hodge theory p-adic Langlands programme Model theory Recent Publications: Hartl's recent work includes studies on moduli stacks of global G-shtukas, periods of Drinfeld modules, and p-adic Galois representations. His research emphasizes foundational contributions to arithmetic geometry and number theory, often involving collaborations with leading mathematicians such as Rajneesh Kumar Singh and Eva Viehmann. Grants & Advising: Hartl’s involvement in CRC 1442 reflects his leadership in geometric research. While specific advising details are not provided, his extensive publications suggest active mentorship in advanced mathematical research. Labs/Teams: Collaborates within the Mathematics Münster research group and the CRC 1442 team, focusing on geometric and arithmetic structures.

• Algebra
• Geometry
• Topology
• +۵ مورد دیگر

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

Jared Weinsteinمشاهده پروفایل

استاد

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

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

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.

Patrick Ingramمشاهده پروفایل

دانشیار

• Number Theory
• Diophantine Geometry
• Arithmetic of Elliptic Curves and Surfaces
• +۴ مورد دیگر

Patrick Ingram is an Associate Professor at the Department of Mathematics and Statistics , Faculty of Science , York University . His research focuses on number theory and diophantine geometry , particularly the arithmetic of elliptic curves and surfaces , and dynamical systems over global fields . His scholarly work includes significant contributions to the study of canonical heights , post-critically finite maps , and primitive divisors in arithmetic dynamics . His research often bridges complex dynamics with number theory, exploring the interplay between Galois representations , Drinfeld modules , and polynomial iterations . Patrick has received the Top Cited Article 2007 - 2011 award from the Journal of Number Theory . He collaborates with leading mathematicians in arithmetic dynamics, including Joseph H. Silverman , and has published extensively in top-tier journals such as the Duke Mathematical Journal , Proceedings of the London Mathematical Society , and Transactions of the American Mathematical Society . His work spans both theoretical advancements and computational techniques in algebraic divisibility sequences and rigidity theorems .

Vladimir Berkovichمشاهده پروفایل

استاد

• Non-Archimedean Analytic Geometry
• Algebraic Geometry
• Number Theory
• +۴ مورد دیگر

Professor Vladimir Berkovich is affiliated with the Department of Mathematics at the Weizmann Institute of Science, where he focuses on Non-Archimedean Analytic Geometry, Algebraic Geometry, and Number Theory. His research explores the interplay between formal schemes and non-Archimedean spaces, with applications to cohomology theories and Hodge theory. Education: Ph.D. from Moscow State University (1977). Appointments: Senior Scientist (1989–1994), Associate Professor (1994–2000), and Professor at Weizmann Institute of Science (ongoing). Research Focus: Vanishing cycles, étale cohomology, spectral theory, and geometric interpretations of non-Archimedean structures. His work includes foundational contributions to non-Archimedean geometry, particularly in extending Hodge theory to p-adic spaces and analyzing local contractibility. Publications span from 1990 to 2018, with collaborations and applications in Shimura varieties, arithmetic geometry, and tropical geometry. Contact: Vladimir.Berkovich@weizmann.ac.il

Jeremy Teitelbaumمشاهده پروفایل

استاد

• Algebra
• Number Theory
• Machine Learning
• +۵ مورد دیگر

Jeremy Teitelbaum is a Professor in the Department of Mathematics at the University of Connecticut within the College of Liberal Arts and Sciences. He serves as Director of UConn's interdisciplinary Masters Program in Data Science, a one-year professional degree program. His academic career spans both pure mathematics and data science applications. Teitelbaum's research bridges classical algebraic number theory and modern machine learning. Initially focused on p-adic geometry, elliptic curves, modular forms, and p-adic L-functions , his work evolved significantly toward machine learning and data science . Current interests include bioinformatics, unsupervised learning (particularly clustering), and mathematical foundations of machine learning. He maintains active GitHub repositories documenting his computational work and lecture materials. His publication trends reveal a transition from pure number theory (2000s) toward machine learning applications (2020s), with consistent mathematical rigor throughout. Keywords across his work include algebraic geometry, representation theory, p-adic analysis, and statistical learning theory, reflecting both his foundational expertise and contemporary applications. Teitelbaum has held significant administrative roles including Dean of the College of Liberal Arts and Sciences (2008-2017) and interim Provost (2017-2018). He is a Certified Instructor for The Software Carpentry and develops extensive online educational materials, including complete video lecture series for Abstract Algebra and Transition to Higher Mathematics based on open-source textbooks. His teaching portfolio includes graduate courses like Fundamentals of Data Science (Grad 5100) and Mathematics of Machine Learning (Math 3094), alongside core mathematics courses such as Abstract Algebra and Linear Algebra. He maintains specialized interests in mathematical visualization tools, including Bokeh library applications and linear algebra pedagogy tools.

Peter Schauenburgمشاهده پروفایل

استاد

• Algebra
• Category Theory
• Hopf Algebras
• +۴ مورد دیگر

Peter Schauenburg is a Professor at the Institut de Mathématiques de Bourgogne (UMR 5584 CNRS), Université de Bourgogne, affiliated with the Faculty of Sciences Mirande. His office is located in the Mirande Building (Wing A, Office 324) at 9 avenue Alain Savary in Dijon. He can be contacted via email at peter.schauenburg@u-bourgogne.fr. His research focuses on advanced topics in algebra and category theory, including: Hopf algebras, bialgebras, and quantum group structures Fusion categories and modular tensor categories Frobenius-Schur indicators and their generalizations Drinfeld doubles and representation theory Monoidal categories and their applications Schauenburg's publication record spans over three decades, with recent work exploring topological invariants of modular categories, factorization properties of Hopf algebras, and computational aspects of Frobenius-Schur indicators. His research frequently intersects with theoretical physics through connections to topological quantum field theories. He maintains an active online presence through his personal homepage and has organized academic events including the 2013 Workshop on Fusion Categories at IMB Dijon. His computational work includes extensive datasets on Frobenius-Schur indicators for symmetric groups.

Chelsea Waltonمشاهده پروفایل

استاد

• Noncommutative Algebra
• Representation Theory
• Quantum Symmetries of Algebras
• +۶ مورد دیگر

Chelsea Walton is a Professor in the Mathematics Department at Rice University. She received her B.S. from Michigan State University in 2005 and her Ph.D. from the University of Michigan in 2011. Her research is centered in Noncommutative Algebra, with particular focus on quantum symmetries of algebras and algebraic structures in categories. B.S. (2005) Michigan State University Ph.D. (2011) University of Michigan Professor Walton's research interests span multiple areas of algebra and category theory. She is particularly interested in noncommutative algebra, quantum symmetries of algebras, monoidal categories, Frobenius algebras, and Hopf algebras. Her work often bridges abstract algebraic structures with geometric and topological applications. Lately, her research has been centered on algebraic structures in categories, exploring how categorical frameworks can illuminate quantum symmetries. She is currently writing a three-volume book series on Algebraic Quantum Symmetry entitled "Symmetries of Algebras," with Volume 1 already published. Her extensive publication record demonstrates a consistent focus on developing the theoretical foundations of noncommutative algebra. The most recent articles reveal a deepening exploration of monoidal categories, Frobenius structures, and quantum symmetries, with increasing sophistication in the categorical frameworks employed. Her work shows strong connections between representation theory, quantum algebra, and topological quantum field theory, suggesting a unifying perspective on these seemingly disparate areas. Professor Walton has advised numerous students and maintains an active research group at Rice University. She has delivered several notable invited talks, including the NAM Claytor-Woodard Lecture at the 2021 Joint Mathematics Meetings titled "An Invitation to Noncommutative Algebra" and an MAA Invited Address at the same conference titled "Navigating Collaboration."

David Zywinaمشاهده پروفایل

دانشیار

• Algebra
• Number Theory
• Arithmetic Geometry
• +۲ مورد دیگر

David Zywina is an Associate Professor in the Department of Mathematics at Cornell University, part of the College of Arts and Sciences. He holds a Ph.D. from the University of California, Berkeley (2008). His research focuses on number theory and arithmetic geometry, particularly studying compatible Galois representations associated with arithmetic objects like elliptic curves and Drinfeld modules. His work explores the arithmetic properties of these objects and their connections to the Inverse Galois Problem. Teaching includes advanced courses such as MATH 6370 (Algebraic Number Theory) and MATH 7370 (Topics in Number Theory) in Spring and Fall 2025. He also supervises research and reading projects (MATH 4900/4901). Publications span topics including class field theory, elliptic curves, and Galois representations. Key works include studies on splitting fields of characteristic polynomials and maximal Galois actions. Zywina’s research bridges abstract algebraic structures with concrete problems in number theory.

Matthew Papanikolasمشاهده پروفایل

استاد

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

Matthew Papanikolas is a Professor in the Department of Mathematics at Texas A&M University. His research focuses on number theory, algebraic geometry, and arithmetic geometry, with an emphasis on function field arithmetic, Drinfeld modules, Anderson motives, and transcendence theory. He explores topics such as L-functions, modular forms, and special values in positive characteristic settings. His work often involves connections between algebraic structures and analytic methods. Key research directions include studying the arithmetic of Drinfeld modules, log-algebraicity phenomena, hyperderivatives, and the transcendence properties of special functions in function field contexts. His contributions to the field include advancements in understanding periods and quasi-periods of Anderson t-modules, effective rigid analytic trivializations, and convolutions of Goss-Pellarin L-series. His articles span topics from equidistribution of Gross points over function fields to the de Rham isomorphism for Drinfeld modules, demonstrating a deep engagement with both theoretical and computational aspects of arithmetic geometry. Though no specific awards are listed here, his extensive publication record reflects significant contributions to the field.

Yen-Tsung Chenمشاهده پروفایل

استادیار

• Number Theory in Function Fields
• Arithmetic of Drinfeld Modules
• Transcendence Theory
• +۳ مورد دیگر

Yen-Tsung Chen is an S. Chowla Assistant Research Professor in the Department of Mathematics at Pennsylvania State University. His research focuses on number theory in function fields, specifically arithmetic of Drinfeld modules, transcendence of special values, and Drinfeld modular forms. He completed his Ph.D. in Mathematics at National Tsing Hua University under Chih-Yu Chang in 2022. Upcoming professional activities include a visit to Texas A&M University (May–August 2025) and Concordia University (June 2025). His work explores advanced topics such as analytic continuation of polylogarithms, modular forms of arbitrary rank, and linear independence criteria in positive characteristic settings. He maintains an active research agenda with collaborations and international engagements in algebraic number theory. Contact details: Office 217 McAllister Building, University Park, PA 16802. Emails: ybc5485@psu.edu and ytchen.math@gmail.com .