جستجوی استاد راهنمای دانشگاهی

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.

• Algebra
• Category Theory
• Hopf Algebras
• +۴ 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."

• Noncommutative Algebra
• Representation Theory
• Quantum Symmetries of Algebras
• +۶ 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.

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

Matt Hogancamp is an Assistant Professor in the Department of Mathematics at Northeastern University. His research focuses on advanced areas of topology and algebra, particularly knot homology theories, categorification, and geometric representation theory. He is affiliated with Northeastern University's Mathematics department and maintains an office in Lake Hall. His work bridges algebraic structures like Soergel bimodules with topological invariants such as Khovanov-Rozansky homology. Research Interests: Knot Homology & Link Invariants Categorification of Quantum Groups Soergel Bimodules & Representation Theory Low-Dimensional Topology Algebraic Structures in Topology Recent Work Trends: His publications emphasize categorification techniques applied to knot theory and representation theory, with notable contributions to sl2 homology, Khovanov-Rozansky theories, and geometric constructions involving Hilbert schemes and Fukaya categories. The 2024-2025 papers highlight advancements in colored homology, annular invariants, and deformation techniques. No scientific awards are listed in the provided materials. His advising record and grant details are not specified in the current data. He is associated with research groups and projects exploring topological quantum field theories and diagrammatic algebra.

• Knot Homology
• Categorification
• Geometric Representation Theory
• +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.

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

Éric Schost is a Professor in the Cheriton School of Computer Science at the University of Waterloo. His research focuses on symbolic computation, algebraic algorithms, and computational complexity. He specializes in polynomial system solving, algorithm design for algebraic structures, and their applications in mathematics and computer science. Key research interests include: - Symbolic computation and computer algebra systems - Homotopy continuation methods for solving polynomial systems - Efficient algorithms for sparse and structured linear algebra - Complexity analysis of algebraic algorithms - Applications in cryptography and computational algebraic geometry His work bridges theoretical foundations with practical implementations, often published in top venues like the Journal of Symbolic Computation and ISSAC proceedings. Collaborations span topics from algebraic geometry to algorithmic number theory.

• Symbolic Computation
• Algebraic Geometry
• Computer Algebra Systems
• +۵ 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 .

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

Prof. Ilya Shapiro is a Professor in the Department of Mathematics and Statistics at the University of Windsor. His research focuses on advanced mathematical structures, including algebraic topology, category theory, and noncommutative geometry. He holds an office in the Lambton Tower (10-112) and can be reached via email at ishapiro@uwindsor.ca or phone at 519-253-3000 (Ext 4734). His research interests emphasize cyclic cohomology , Hopf algebras , and their applications in theoretical physics. Notable themes include monoidal categories, anti-Yetter-Drinfeld modules, and Frobenius maps in p-adic contexts. He has explored connections between algebraic structures and geometry, such as gerbes over orbifolds and categorified Chern characters. Recent work (2019–2024) highlights investigations into Hopf-cyclic coefficients in braided settings and the interplay between mixed and stable anti-Yetter-Drinfeld contramodules. Earlier contributions include studies on cyclic homology for Hom-associative algebras and p-adic gamma functions. No scientific awards or grants are explicitly listed in the provided materials. His academic profile reflects a sustained focus on foundational mathematical research without mentioned collaborative labs or teams.

• Algebraic Topology
• Category Theory
• Hopf Algebras
• +۳ مورد دیگر

Riad Masri is a Professor at Texas A&M University’s College of Arts & Sciences, specializing in Number Theory with a focus on automorphic forms, L-functions, and arithmetic geometry. His research bridges analytic and algebraic methods, addressing problems in equidistribution, partition functions, and special values of L-series. His work often explores connections between modular forms, CM fields, and arithmetic applications, such as the Colmez conjecture and Malle’s conjecture. Recent studies include effective bounds for traces of weak Maass forms and singular moduli distributions. Though no scientific awards are explicitly listed, his publications span high-impact areas like partition theory, Galois representations, and arithmetic statistics. He holds a United States citizenship and resides in College Station, Texas, with his family.

• Number Theory
• Automorphic Forms
• Analytic Number Theory
• +۳ مورد دیگر

Takeshi Saito is a Professor at the Department of Mathematical Sciences, University of Tokyo . His research focuses on arithmetic geometry , particularly in Galois representations and ramification theory . Member of the Mathematical Society of Japan Editorial board: Documenta DMV , Japanese Journal of Mathematics , and Journal of Algebraic Geometry His work includes foundational contributions to étale cohomology and l-adic representations of global/local fields. Key publications address conductor formulas (2004), ramification theory (2002, 2013), and characteristic cycles (2017). The Number Theory Seminar at the University of Tokyo (Wednesday 17:00-18:00) is among his organized activities. Major awards include the Algebra Prize (1998) and Spring Prize (2001) from the Mathematical Society of Japan. His research spans collaborations with institutions like IHES , the Morningside Center , and University of Tokyo .

• Arithmetic geometry
• Galois representations
• Ramification theory
• +۲ 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.

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

Florian Breuer is a Professor of Mathematics at the University of Newcastle , Australia, affiliated with the School of Information and Physical Sciences . He was on sabbatical at the University of Heidelberg, Germany (July–December 2024) and is a member of CARMA (Priority Research Centre in Computer-Assisted Research Mathematics and its Applications). His research focuses on Number Theory , particularly Arithmetic Geometry , Elliptic curves , Drinfeld modules , and Drinfeld modular forms . He also explores quadratic number fields and Cohen-Lenstra-Martinet heuristics . He serves on the editorial boards of the Journal of Number Theory and Quaestiones Mathematicae . His work often intersects with cryptography, as seen in projects like SeCritMass , a threshold secret petition protocol. His research interests also include Ducci sequences and orders of elements in finite fields . Recent trends in his publications emphasize modular polynomials , heights in algebraic geometry , and Drinfeld modular forms of arbitrary rank . Collaborations with mathematicians like Fabien Pazuki and Dirk Basson highlight his contributions to arithmetic geometry and modular forms. Breuer’s work bridges theoretical number theory with computational methods, evident in his GitHub repository for OEIS sequence A130229 analysis. His research often addresses foundational questions in algebraic structures and their applications in cryptography and computational mathematics.

• Number Theory
• Arithmetic Geometry
• Elliptic curves
• +۶ مورد دیگر

Dr. Alexey Sevastyanov is a Senior Lecturer at the School of Natural and Computing Sciences, University of Aberdeen. His research spans Algebra, Representation Theory, Poisson Geometry, and Mathematical Physics, with a focus on quantum groups and integrable systems. Education: BSc and MSc from St. Petersburg, PhD from Uppsala. His work explores quantum algebra, geometric representation theory, and the mathematical foundations of gauge theory . Recent publications address non-perturbative quantization, Yang-Mills mass gap problems, and structural properties of q-W algebras. Trends in his research include the analysis of algebraic groups, Poisson structures, and applications in theoretical physics. For details, see his 2022 paper on Yang-Mills quantization and other works on quantum field theory and algebraic geometry.

• Algebra
• Representation Theory
• Poisson Geometry
• +۳ مورد دیگر

Dimitar Grantcharov is a Professor in the Department of Mathematics at the University of Texas at Arlington . His research focuses on Representation Theory of Lie and Jordan Algebras, quantum groups, and weight modules with applications to mathematical physics. Education : PhD in Mathematics (University of California Riverside, 2003), MS in Mathematical Sciences (Sofia University, 1994). Research Interests include: Weight modules of Lie and Jordan algebras Quantized enveloping superalgebras Gelfand-Tsetlin modules and tableaux Geometric quantization of symmetric spaces Crystal bases and categorification Bounded representations of infinite-dimensional algebras Recent Publications span topics in quantum superalgebras, Gelfand-Tsetlin modules, and Laplace eigenfunctions on symmetric spaces, with collaborations across institutions in the U.S., Brazil, and Europe. Scientific Awards : Fulbright Scholar Award (2019), American Mathematical Society membership (2022-Present). Advising includes doctoral and master's students in representation theory, with active roles in Math Kangaroo and Putnam Exam Preparation . He has secured grants from the National Science Foundation , Simons Foundation , and National Security Agency .

• Representation Theory
• Lie Algebras and Superalgebras
• Quantum Groups
• +۵ مورد دیگر

Padmini Veerapen is an Associate Professor of Mathematics at Tennessee Tech University, specializing in noncommutative algebra and its geometric applications. She earned her B.S. in Psychology & Philosophy, M.S., and Ph.D. in Mathematics from the University of Texas at Arlington. Her research focuses on classifying quadratic algebras using noncommutative algebraic geometry techniques, exploring notions of rank in noncommutative forms, and studying invariant theory in quadratic AS-regular algebras. Her work integrates noncommutative algebra with geometry, particularly through skew Clifford algebras and deformation quantization. She has supervised four Master’s theses and collaborates internationally on projects involving twists of algebras and Hopf algebra structures. Recent research includes exploring graded Morita invariants and quantum group comodule algebras. Veerapen has been funded by grants from the AMS, AWM, and MSRI, and actively participates in conferences and workshops.

• Noncommutative Algebra
• Artin-Schelter Regular Algebras
• Quadratic Algebras
• +۳ مورد دیگر