جست‌وجوی استاد و پژوهشگر

John Griesmerمشاهده پروفایل

استادیار

• Ergodic theory
• Additive combinatorics
• Harmonic analysis
• +۳ مورد دیگر

John Griesmer is a Teaching Assistant Professor in the Department of Applied Mathematics and Statistics at the Colorado School of Mines. He holds a PhD and MS from The Ohio State University and a BS from Miami University. His research focuses on ergodic theory, additive combinatorics, and harmonic analysis, with a particular emphasis on recurrence phenomena, Bohr sets, and structural properties of sumsets within abelian groups. His work bridges topological and measurable dynamics, exploring connections between algebraic structures and combinatorial patterns. Education: PhD in Mathematics, The Ohio State University MS in Mathematics, The Ohio State University BS in Mathematics, Miami University Research Interests: Ergodic theory: recurrence in dynamical systems, rigidity phenomena Additive combinatorics: sumset structures, intersective sets, sparse configurations Harmonic analysis: Bohr neighborhoods, Fourier analysis on groups Recent work examines distinctions between topological and measurable recurrence, properties of difference sets in abelian groups, and applications of ergodic methods to combinatorial problems. His publications often explore foundational questions in these areas, with contributions to both theoretical frameworks and specific case analyses. Current courses include Math 112 (Calculus II) and Math 301 (Introduction to Analysis), reflecting his commitment to both foundational mathematics education and advanced theoretical training.

• Number Theory

Martin Widmer is a Professor specializing in Number Theory. His research focuses on advanced topics in algebraic and analytic number theory, particularly generators of number fields, height functions, and Northcott properties. He maintains an active publication record with 26 research outputs, including articles and preprints in journals like Forum Mathematicum and Acta Arithmetica . His core research explores: Constructive aspects of number fields (generators, integral bases) Distribution properties of algebraic numbers via heights Extensions of the Northcott theorem to infinite fields Connections between Diophantine approximation and arithmetic geometry He has led two collaborative research projects funded by the London Mathematical Society: Joint Research Groups in the UK (Dec 2019 – Nov 2021): Fostered interdisciplinary number theory collaborations. Research in Pairs (Oct–Nov 2019): Intensive short-term collaboration on emerging problems. Widmer has supervised at least one graduate student, though specific details are undisclosed.

Laurent Bergerمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Galois Representations
• +۵ مورد دیگر

Laurent Berger is a mathematician at École normale supérieure de Lyon in the Unit of Pure and Applied Mathematics (UMPA). He earned his PhD at Université Paris 6 under Pierre Colmez, focusing on p-adic representations and differential equations. After postdoctoral work at Harvard University, he held a researcher position at CNRS (University of Orsay and IHES) and taught at École Polytechnique before joining ENS de Lyon in 2007. He was a junior member of the Institut Universitaire de France (2012-2017) and is currently a Distinguished University Professor. His research centers on number theory and arithmetic geometry, with key interests in: Galois p-adic representations (Phi, Gamma)-modules p-adic Langlands program Nonarchimedean dynamical systems p-adic Fourier theory Lubin-Tate theory His 15 most recent publications span themes like super-Hölder vectors, p-adic Fourier analysis, and decomposition of cyclotomic fields, reflecting his expertise in p-adic Hodge theory and Galois module theory. He has advised four doctoral students and maintains active collaborations with researchers like K. Ardakov and P. Colmez. Awards and honors include a prestigious junior fellowship at the Institut Universitaire de France. His work is documented through 50+ publications since 2000, with MathSciNet, zbMATH, and Google Scholar profiles tracking his contributions to modern number theory.

Alex Barriosمشاهده پروفایل

استادیار

• Algebraic number theory
• Class field theory
• Diophantine geometry
• +۱ مورد دیگر

Alex Barrios serves as an Assistant Professor in the Department of Mathematics within the College of Liberal Arts at the University of St. Thomas. His academic foundation includes a PhD and MS in Mathematics from Purdue University, a BS from Brown University, and an AA from Miami-Dade College, establishing deep expertise in theoretical and computational mathematics. His educational background: PhD in Mathematics, Purdue University MS in Mathematics, Purdue University BS in Mathematics, Brown University AA in Mathematics, Miami-Dade College Dr. Barrios' research bridges abstract number theory with explicit computational methods, specializing in algebraic number theory, class field theory, and Diophantine geometry. His work focuses on elliptic curves as tools for solving intractable problems like Fermat's Last Theorem and the abc conjecture, emphasizing explicit constructions of examples and data calculations that connect theoretical frameworks to practical applications in arithmetic geometry. Recent publications reveal a concentrated research trajectory on rational elliptic curves, with systematic classifications of isogeny graphs, torsion subgroups, local data, and minimal models. This body of work demonstrates methodological rigor in explicit computation while advancing foundational understanding of Diophantine equations. His 2022 expository publication extends this rigor to diversity initiatives through the Math Alliance, highlighting interdisciplinary engagement beyond pure research. Dr. Barrios actively contributes to academic service through the Math Alliance initiative, co-authoring publications on community-building in mathematics. While no specific grant funding or student advising roles are documented in available materials, his Fall 2025 teaching roster includes Multi-Variable Calculus, Real Analysis, and an interdisciplinary honors seminar exploring mathematical infinity, reflecting commitment to both core mathematics education and innovative pedagogy.

Tzvetalin Vassilevمشاهده پروفایل

استاد

• Computational Geometry
• Algorithmic Graph Theory
• Optimization

Dr. Tzvetalin Vassilev is a Full-time Professor in the Department of Computer Science and Mathematics at Nipissing University, Faculty of Arts and Science. He holds a PhD from the University of Saskatchewan and completed his BSc and MSc at the Technical University in Sofia. His research focuses on Computational Geometry, Algorithmic Graph Theory, and Optimization . Current projects include studies on longest paths in graphs, optimal triangulations, and optimization problems on graphs supported by an NSERC Discovery Grant (2011-2016). Recent work spans inequalities, polynomial solutions, geometric problems, and interdisciplinary collaborations in materials science. Publications highlight problem-solving in geometry, algebra, and calculus, with contributions to combinatorial optimization and educational outreach initiatives like the Math Circles program in North Bay. Collaborations include international academic teams and industrial partners such as Sigma Space Inc. Grants: NSERC Discovery Grant (2011-2016) Advising: No formal advisees listed in available texts.

• Arithmetic Geometry
• Diophantine Geometry
• Shimura Varieties
• +۳ مورد دیگر

Dr Martin Orr is a Neumann Fellow in the Department of Mathematics at the University of Manchester. His research focuses on arithmetic and Diophantine geometry, including unlikely intersections, Shimura varieties, abelian varieties, and K3 surfaces. He has contributed to topics such as the André-Oort conjecture, Zilber-Pink conjectures, and arithmetic properties of algebraic varieties. He has held teaching roles at the University of Manchester, Warwick University, and Imperial College London, instructing courses on Commutative Algebra, Algebraic Number Theory, and Algebraic Geometry. His work involves collaborations on research areas like reduction theory, Galois conjugates, and invariant Brauer groups. Dr Orr has authored over a dozen peer-reviewed publications, including articles in prestigious journals such as Duke Mathematical Journal, Algebra & Number Theory, and Journal de l'Ecole Polytechnique. His research emphasizes geometric and algebraic interplay, with a focus on solving Diophantine problems through advanced number-theoretic and geometric frameworks.

Jennifer Wilsonمشاهده پروفایل

استادیار

• Algebraic Topology
• Geometry
• Topology
• +۳ مورد دیگر

Jennifer Wilson is an Assistant Professor in the Department of Mathematics at the University of Michigan, Ann Arbor. She holds a B.Sc. from Queen's University (2009), an M.S. and Ph.D. from the University of Chicago (2011, 2014). Her research focuses on algebraic topology, geometry, and representation stability, with particular attention to configuration spaces, arithmetic groups, and homology stability phenomena. She has received a NSF CAREER Award (2022) to investigate stability phenomena in topology and arithmetic groups. Wilson's work bridges geometric group theory, algebraic geometry, and combinatorics. She explores cohomology of groups like SLn(Z), Steinberg modules, and moduli spaces. Recent research includes studies on the Johnson filtration of mapping class groups and quantitative representation stability over linear groups. Her findings often reveal deep connections between algebraic structures and topological invariants. Awards: NSF CAREER Award (2022) Advising: Supervises doctoral candidates in algebraic topology and geometric group theory Grants: Active research funding from NSF for projects on arithmetic groups and cohomology stability She collaborates with peers in the Algebraic Geometry and Topology research groups at the University of Michigan, contributing to interdisciplinary projects such as the study of hyperplane complements and their combinatorial-statistical properties over finite fields. Her work frequently involves developing new frameworks for analyzing stability patterns in algebraic and geometric contexts.

Sean Cotnerمشاهده پروفایل

پژوهشگر ارشد

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

Sean Cotner is an NSF Research Fellow and Postdoctoral Assistant Professor in the Department of Mathematics at the University of Michigan, affiliated with the College of Literature, Science, and the Arts. He earned his Ph.D. in Mathematics from Stanford University in 2023 and a B.S. from Pennsylvania State University in 2018. His research focuses on arithmetic geometry, algebraic groups, and integral questions related to the local Langlands program. Cotner has contributed to significant publications in journals such as Inventiones Mathematicae and Compositio Mathematica . He has held positions including a graduate research role at Stanford under Brian Conrad. Cotner’s work bridges pure mathematics disciplines, emphasizing geometric and algebraic structures. His expository writings on topics like Steinberg’s theorem and reductive groups demonstrate his commitment to advancing foundational mathematical theory. Awarded the NSF Research Fellowship, he has also engaged in collaborative projects, including work with Jeffrey D. Adler and Bogdan Zavyalov. Cotner’s academic contributions include both original research and pedagogical efforts, such as exercises for the Arizona Winter School 2025 on representation theory of p-adic groups.

Bhargav Bhattمشاهده پروفایل

استاد

• Algebraic Geometry
• Number Theory
• Arithmetic Geometry
• +۱ مورد دیگر

Bhargav Bhatt is a Mathematics Professor at Princeton University, located in Fine Hall 807. His work is affiliated with the Mathematics department. Contact him via bbhatt@math.princeton.edu. Research interests include foundational areas of algebraic geometry, number theory, and arithmetic geometry, with a focus on p-adic Hodge theory and related structures. His contributions bridge abstract algebraic frameworks with geometric insights. No specific grants, advising records, or lab affiliations are detailed in the provided text. Awards or publications are not listed here.

Tongmu Heمشاهده پروفایل

مدرس

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

Tongmu He is a Mathematics Lecturer at Princeton University, affiliated with the Department of Mathematics. His research focuses on advanced topics in Algebraic Geometry, Number Theory, and Arithmetic Geometry, with particular emphasis on p-adic Hodge Theory, Galois representations, and Perfectoid spaces. He has contributed to foundational work on p-adic comparison theorems, Sen operators, and cohomological descent techniques in modern arithmetic geometry. His academic output includes groundbreaking papers on perfectoid covers of abelian varieties, purity for perfectoidness, and applications of Sen Theory to Shimura varieties. His recent work (2023–2025) explores p-adic cohomology structures and their implications for local fields with imperfect residues. Earlier contributions (2017) addressed topological conjugacy in non-hyperbolic linear flows, showcasing interdisciplinary reach. No scientific awards or grants are explicitly mentioned, but his prolific publication record reflects sustained scholarly impact. He is reachable via Fine Hall 803 and the email th7646@princeton.edu.

Peter Sarnakمشاهده پروفایل

استاد

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

Peter Sarnak is a Professor of Mathematics at Princeton University, affiliated with the School of Mathematics. His primary research field is Number Theory , with significant contributions to automorphic forms, spectral theory, and quantum chaos. Email: sarnak@math.princeton.edu Recent publications highlight his work on L-functions, Möbius disjointness, and nodal sets of eigenfunctions. His research intersects arithmetic geometry, dynamical systems, and harmonic analysis, often addressing deep connections between randomness and arithmetic structures. Key subfields include automorphic forms, spectral gaps, thin matrix groups, and applications of number theory to geometric packings. Collaborations span prominent mathematicians like Jean Bourgain and Sug Woo Shin.

Konstantin Jakobمشاهده پروفایل

پژوهشگر ارشد

• Geometric Langlands Program
• Algebraic Geometry
• Representation Theory
• +۶ مورد دیگر

Dr. Konstantin Jakob is a Research Fellow in the Algebra Group at TU Darmstadt, affiliated with the Collaborative Research Center CRC 326 - GAUS. His research focuses on the wildly ramified geometric Langlands correspondence, moduli spaces of meromorphic connections, local systems, Higgs bundles, and rigid local systems. He has organized workshops on topics like non-abelian Hodge theory and has spoken at international venues including Tsinghua University and the Banff International Research Station (BIRS). He has taught courses on Springer theory and algebraic number theory at TU Darmstadt, employing hybrid formats. His academic activities include visiting positions at the Yau Mathematical Sciences Center (Beijing) and the Sydney Mathematical Research Institute (SMRI). He actively contributes to the field through organizing seminars and collaborative research initiatives. His work intersects algebraic geometry, representation theory, and number theory, with a focus on geometric structures underlying Langlands duality and moduli problems. Recent research trends emphasize rigid local systems and their applications to arithmetic geometry and mathematical physics. No scientific awards have been explicitly mentioned in the provided materials. His research is supported through CRC 326 and institutional grants at TU Darmstadt.

Yingkun Liمشاهده پروفایل

استادیار

• Number Theory
• Modular Forms
• Theta Functions
• +۳ مورد دیگر

Prof. Yingkun Li is an accomplished mathematician specializing in number theory and modular forms. He served as an Assistant Professor at Technische Universität Darmstadt (2018–2024) and is currently a visiting researcher at the Max Planck Institute for Mathematics (MPIM) and the University of Bonn, supported by the DFG Heisenberg Program. His research focuses on automorphic forms, theta functions, and harmonic Maass forms, with notable contributions to the study of CM-values, Green functions, and singular units in elliptic curves. Education includes a B.S. from Caltech (2009), M.A. and Ph.D. from UCLA (2013), advised by William Duke. He has held postdoctoral positions at Cologne and Köln universities. Awards include NSF Postdoctoral and Graduate Fellowships, and leadership in DFG-funded projects like Collaborative Research Center 326 (GAUS). Teaching spans advanced courses in number theory, algebraic geometry, and topology at TU Darmstadt and Johannes Gutenberg Universität Mainz. He actively organizes international conferences and seminars, including the 'International Seminar on Automorphic Forms.' His academic network includes collaborations with leading mathematicians like Jan Bruinier and Kathrin Bringmann.

Reza Rezaeian Farashahiمشاهده پروفایل

استادیار

• Cryptography
• Elliptic Curve Cryptography
• Arithmetic Geometry
• +۳ مورد دیگر

Reza Rezaeian Farashahi is an Assistant Professor of Mathematical Sciences at Isfahan University of Technology . His research focuses on cryptographic algorithms with a strong emphasis on elliptic and hyperelliptic curve cryptography, arithmetic geometry, and number theory. He specializes in optimizing cryptographic operations through algebraic methods and hardware implementations. His work includes advancements in elliptic curve arithmetic (e.g., Montgomery curves, twisted Edwards curves), hardware designs for cryptographic systems (VLSI, ASIC applications), and secure encoding schemes for elliptic curves. Notable contributions include faster addition laws, differential addition techniques, and efficient finite field operations over GF(2^m). Farashahi has published extensively in top-tier journals and conferences, addressing topics such as cryptographic efficiency, algebraic geometry applications, and hardware-software co-design for cryptographic primitives. His research bridges theoretical mathematics with applied cryptography, aiming to enhance security and computational performance in real-world systems. He advises no currently listed students and has no reported scientific awards in the provided texts. However, his work reflects a strong dedication to advancing cryptographic foundations through interdisciplinary approaches.

• Formalized Mathematics
• Algebra
• Arithmetic Algebraic Geometry
• +۶ مورد دیگر

Adam Topaz is an Associate Professor at the University of Alberta's Department of Mathematical and Statistical Sciences, specializing in formalized mathematics, algebra, and arithmetic algebraic geometry. He holds a PhD from the University of Pennsylvania and previously served as a postdoctoral researcher at the University of Oxford and the Mathematical Sciences Research Institute. His research focuses on formalization of mathematics using the Lean theorem prover, including contributions to the Liquid Tensor Experiment and maintenance of mathlib. Key research areas include Galois theory, anabelian geometry, algebraic cycles, Hodge theory, and valuation theory. His work integrates formal methods with traditional mathematical research, emphasizing computational rigor. He has authored over 20 peer-reviewed publications, including foundational work on alternating pairs in valuation theory and categorical foundations of condensed mathematics. Topaz has received prestigious awards such as the NSF Postdoctoral Fellowship and Carlitz-Zippin Prize. He actively contributes to open-source formal mathematics projects and has supervised multiple PhD and Master’s students. His teaching spans undergraduate and graduate courses in algebra, number theory, and modules.