جست‌وجوی استاد و پژوهشگر

Ralf Schmidtمشاهده پروفایل

استاد

• Classical and Adelic Modular Forms
• Local and Global Representation Theory
• Automorphic L-functions
• +۲ مورد دیگر

Ralf Schmidt is a Professor in the Department of Mathematics at the University of North Texas. His research focuses on classical and adelic modular forms, local and global representation theory, and automorphic L-functions. He has contributed extensively to the study of symplectic group representations, Siegel modular forms, and their connections to number theory. University of North Texas, Department of Mathematics Research: Automorphic Forms, Representation Theory, L-functions Recent publications address Fourier-Jacobi modules for GSp(4), stable Klingen vectors, dimension formulas for Siegel modular forms, and integrality properties of Eisenstein series. His work often involves collaboration with researchers like Ameya Pitale, Abhishek Saha, and Brooks Roberts, emphasizing automorphic representations and their applications. As a co-organizer of the Texas-Oklahoma Representations and Automorphic Forms (TORA) conference series, he supports academic exchange in automorphic forms and representation theory. Funding from the National Science Foundation supports these meetings, which encourage graduate student participation. Notable collaborators include Jennifer Johnson-Leung, Manami Roy, and Shaoyun Yi. He has published in leading journals such as Manuscripta Math , Springer Lecture Notes in Mathematics , and Transactions of the American Mathematical Society . His research spans stable modular forms, paramodular newforms, and supercuspidal representations, with applications to number theory and algebraic geometry.

Jakob Scholbachمشاهده پروفایل

دانشیار

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

Jakob Scholbach is an Associate Professor at the Department of Mathematics, University of Padua. His research focuses on motives in the Langlands program, abstract homotopy theory, and Arakelov theory. He has collaborated extensively with researchers like Timo Richarz, Robert Cass, and Thibaud van den Hove, producing influential work in geometric representation theory and motivic cohomology. Education: Completed his PhD in Mathematics at the University of Freiburg under Annette Huber in 2011. His habilitation thesis further solidified his expertise in motives and homotopy theory. Research Interests: Scholbach’s work bridges algebraic geometry, number theory, and homotopy theory. He explores categorical structures in motives, geometric Satake equivalence, and Frobenius rigidity. His recent publications address Künneth formulas for cohomological motives and integral motives on affine flag varieties. Publications: Over 20 peer-reviewed articles in top journals like Compositio Mathematica , Advances in Mathematics , and Documenta Mathematica . His work is widely cited in the fields of geometric representation theory and motivic cohomology. Awards: No specific awards are listed, though his prolific and impactful research suggests recognition in academic circles. Advising & Grants: Coordinates the MSCA Doctoral Network REMOLD (Representations, Motives and Langlands Duality) and has organized workshops on representation theory’s hidden motives. No advisees are explicitly listed in the provided text. Labs/Teams: Leads the REMOLD network, fostering collaboration between algebraic geometry and geometric representation theory researchers.

Robert Y. Lewisمشاهده پروفایل

مدرس

• Formal Methods
• Logic
• Theoretical Computer Science
• +۳ مورد دیگر

Robert Y. Lewis is a Lecturer in the Department of Computer Science at Brown University, specializing in formal methods, logic, and interactive theorem proving. His work bridges computer science and mathematics, focusing on the verification of mathematical proofs and program correctness. Education: PhD in Pure and Applied Logic (2018), Carnegie Mellon University MS in Pure and Applied Logic (2015), Carnegie Mellon University BA in Mathematics (2010), Rice University Research Interests: Lewis’s research spans formal verification, logic, type theory, and automated reasoning. He explores the application of logical tools like the Lean proof assistant in mathematics education and software verification. Teaching: At Brown, he teaches courses such as Introduction to Discrete Structures and Probability and Formal Proof and Verification . Prior to Brown, he taught Logic and Modeling at Vrije Universiteit Amsterdam and served as a teaching assistant at Carnegie Mellon University. Publications: His recent work includes advancements in formalizing mathematical structures (e.g., Witt vectors, Cap Set Problem), integrating proof assistants with computational tools (Lean-Mathematica interface), and developing educational resources for logic and formal methods. Contact: Email: robert_lewis@brown.edu Office: Center for Information Technology 203, Brown University

Ellen Eischenمشاهده پروفایل

استاد

• automorphic forms
• L-functions
• number theory
• +۵ مورد دیگر

Ellen Eischen is a Professor of Mathematics at the University of Oregon in the College of Arts and Sciences. She is currently on leave until fall 2025 while serving as a von Neumann Fellow at the Institute for Advanced Study (2024-2025). She serves on the editorial boards of Essential Number Theory and Research in Number Theory. Dr. Eischen earned her PhD in Mathematics from the University of Michigan in 2009 with a dissertation titled "p-adic Differential Operators on Automorphic Forms and Applications" advised by Christopher Skinner and Nicholas Ramsey. Her educational background includes substantial training in improvisational theater, which has significantly influenced her professional development. Her primary research focuses on automorphic forms and L-functions, with particular emphasis on algebraic, p-adic, and geometric aspects of number theory. She approaches her research with a collaborative spirit, noting that number theory "relies on many flavors of math." Beyond traditional research, she is deeply committed to mathematical creativity and public engagement, having created the "Creativity Counts" exhibit at the Jordan Schnitzer Museum of Art and serving on the Advisory Board of the Seattle Universal Math Museum since 2021. She has developed innovative teaching methods through improvisational theater techniques, documented in publications like "Improv-ing a Mathematician's Professional Skills" and "Seeds for Building Community" with C. Hsu. Dr. Eischen's scholarly output demonstrates a consistent focus on advancing the theory of automorphic forms and L-functions, with recent work extending to mathematical creativity and educational innovation. Her publications span technical mathematical research in number theory to articles exploring the creative process in mathematics and improvisational techniques for teaching, reflecting her dual commitment to mathematical rigor and accessibility. von Neumann Fellow at the Institute for Advanced Study (2024-2025) NSF research grant DMS-2302011 NSF CAREER grant DMS-1751281 Williams Fund support for educational initiatives Dr. Eischen has advised numerous graduate students including Cathy Hsu (now Assistant Professor at Swarthmore College), Jon Aycock (now Visiting Assistant Professor at UCSD), Samantha Platt (now Assistant Professor at Augsburg University), and Sean Haight (now Adjunct at Seattle University). Her current PhD students include Francis Dunn and Sidney Washburn. She has also mentored undergraduate researchers such as Abby Lewis and Nat Milnes, whose work resulted in published outreach projects and an Apple App Store application. She has received significant grant support including an NSF CAREER award and current NSF research funding for her work in number theory and mathematical education. Through her "Math and the Creative Process" course and improv workshops for mathematicians, Dr. Eischen has built interdisciplinary teams connecting mathematics with theater arts. She co-organizes major workshops including the "Integrating Research and Illustration in Number Theory" at Institut Henri Poincaré (2026) and has led sessions at the Institute for Advanced Study, MSRI, and other prestigious institutions. Her Creativity Counts project has created a lasting impact through both physical and virtual museum exhibits that showcase the creative side of mathematics.

Dihua Jiangمشاهده پروفایل

استاد

• Automorphic Forms
• L-functions
• Representation Theory
• +۲ مورد دیگر

Dihua Jiang is a Professor in the School of Mathematics at the University of Minnesota, where he conducts research in automorphic forms, L-functions, representation theory, and number theory. His office is located in 224 Vincent Hall at 206 Church Street SE, Minneapolis, MN 55455, and he can be reached at dhjiang@umn.edu or (612) 625-7532. Professor Jiang actively mentors both undergraduate and graduate research students. Professor Jiang's research focuses on the deep connections between automorphic forms, representation theory, and number theory within the framework of the Langlands Program. His work explores L-functions, periods, and the arithmetic properties of automorphic representations. He has made significant contributions to understanding the local converse problem, Rankin-Selberg convolutions, and the structure of Arthur parameters for classical groups. His research bridges abstract representation theory with concrete number-theoretic applications. Analysis of Professor Jiang's recent publications reveals a consistent focus on the intersection of automorphic forms and representation theory, particularly concerning classical groups. His work demonstrates increasing sophistication in handling Arthur parameters, L-functions, and period integrals. A notable trend is his exploration of branching laws and reciprocal problems in the context of automorphic representations, reflecting the evolving nature of the Langlands Program. Organizes the Lie Theory Seminar at the University of Minnesota Participates in major conferences including AIM workshops, NUS programs, and IHES summer schools Teaches advanced courses such as Math 8280 (Topics in Number Theory)

Alexander Borisovمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Number Theory
• Discrete Geometry
• +۴ مورد دیگر

Alexander Borisov is an Associate Professor of Mathematics at Binghamton University (since 2014), specializing in Algebraic Geometry, Number Theory, and Discrete Geometry. He holds a Ph.D. from Pennsylvania State University (1996). His research focuses on intersections of algebraic geometry with number theory, including topics like toric varieties, polynomial maps, and arithmetic dynamics. Borisov has advised multiple Ph.D. students, including Sayak Sengupta (2024), Pat Carney (2023), and Changwei Zhou (2019). He organizes the Upstate New York Online Number Theory Colloquium and contributes to academic leadership through roles like seminar coordination. His teaching includes advanced courses like Honors Calculus (Math 230) and Arithmetic Seminar (Math 562). Research outputs span over 30 publications, with recent work emphasizing polynomial dynamics and geometric structures. Borisov maintains active collaborations, reflected in joint papers with mathematicians like Valery Alexeev and Mikhail Sapir.

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

Johannes Anschütz is a Professor of Mathematics at the Orsay Institute of Mathematics, part of Université Paris-Saclay. His research focuses on arithmetic geometry, algebraic geometry, and p-adic Hodge theory, with a particular emphasis on the Fargues-Fontaine curve, moduli spaces, and perfectoid spaces. He collaborates extensively on topics like solid quasi-coherent sheaves, v-vector bundles, and prismatic Dieudonné theory. His work bridges algebraic geometry and number theory, addressing foundational questions in p-adic geometry and non-abelian Hodge theory. Recent contributions include advancements in the p-adic Simpson correspondence, Hodge-Tate stacks, and the development of Fourier transforms for Banach-Colmez spaces. Anschütz’s publications frequently involve collaborations with leading researchers such as Arthur-César Le Bras, Ben Heuer, and Lucas Mann. His research also explores descent theory in p-adic contexts, local models, and geometric Langlands programs in mixed characteristic settings. He currently holds an office at the Orsay Mathematics Laboratory (Room 2I20) and maintains active engagement in teaching and research seminars within the institute’s arithmetic and algebraic geometry team.

• Topology
• Algebraic Topology
• K-Theory
• +۵ مورد دیگر

Wolfgang Lück is a Professor of Mathematics at the University of Bonn, affiliated with the Hausdorff Center for Mathematics (HCM) and the Hausdorff Research Institute for Mathematics (HIM). He holds a Max Planck Fellowship at the Max Planck Institute for Mathematics (MPIM) and served as HCM spokesperson from 2019–2022. His research focuses on topology, particularly topological invariants, K- and L-theory, and geometric group theory. He has pioneered work on the Farrell-Jones conjecture and L²-invariants, earning prestigious awards like the Leibniz Prize (2008) and ERC Advanced Grant (2015). Education: Studied mathematics in Göttingen (BSc 1981, PhD 1984), habilitation (1989) Prior roles: Full professor at Mainz (1991–1996), Münster (1996–2010), and spokesperson for the SFB “Geometry, Groups & Actions” His research interests span manifold classification, surgery theory, and algebraic K-theory. Over 50 publications since 2013 alone demonstrate his prolific contributions. Awards include membership in the German Academy of Sciences (2010) and North Rhine-Westphalian Academy (2013). Grants: ERC Advanced Grant (2015), Max Planck Research Prize (2003) Leadership: Directed HIM (2011–2017), led collaborative research initiatives

• Pure Mathematics
• Number Theory
• Applied Mathematics
• +۳ مورد دیگر

Professor David Helm is a Visiting Professor in the Department of Mathematics at Imperial College London, affiliated with the Faculty of Natural Sciences. His research focuses on Pure Mathematics, particularly Number Theory, Algebraic Geometry, and Representation Theory. Key areas of interest include the Langlands Program, Shimura Varieties, Hecke Algebras, and geometric methods in representation theory. His work explores connections between automorphic forms, Galois representations, and algebraic varieties, with notable contributions to the local Langlands correspondence and potential automorphy over CM fields. Recent research highlights include studies on Springer theory, categorical Langlands correspondence, and moduli spaces of Langlands parameters. Helm's publications span topics such as Tate cycles on Shimura varieties, Whittaker models for GLn, and monodromy filtrations in tropical geometry. He has contributed to foundational work on p-adic groups and their representations, including finiteness properties of Hecke algebras and integral Bernstein centers. Though no specific awards or grants are explicitly listed, his affiliation with Imperial's pure mathematics group and number theory research clusters underscores his academic standing. His work often bridges algebraic, geometric, and arithmetic perspectives, reflecting a deep engagement with modern number theory's theoretical frontiers.

• Arithmetic Geometry
• Algebraic Geometry
• Non-archimedean Geometry
• +۲ مورد دیگر

Antoine Chambert-Loir is a Professor of Mathematics at Université Paris Cité (formerly University Paris-Diderot), holding this position since 2015. His distinguished academic career includes professorships at Université Paris-Sud (2012-2015), Université de Rennes 1 (2003-2012), École polytechnique (2001-2003), and Université Pierre-et-Marie-Curie (1997-2000). He was a Von Neumann Fellow at the Institute for Advanced Study (2009-2010) and Junior member of Institut universitaire de France (2007-2012). His research focuses on the intersection of arithmetic and algebraic geometry, with particular expertise in Non-archimedean geometry (Berkovich spaces) , Arakelov geometry , and proof formalization . His work bridges abstract theory with concrete applications in Diophantine geometry and model theory. As evidenced by his extensive publication record and editorial leadership, he has significantly advanced the understanding of height functions, motivic integration, and equidistribution phenomena in arithmetic contexts. His scholarly contributions include authorship of 8 books and over 40 research papers. Notable trends in his publications reveal a progression from foundational work on semi-abelian varieties to cutting-edge research in motivic integration and non-archimedean analytic geometry, often in collaboration with leading mathematicians like Yuri Tschinkel and François Loeser. His research consistently addresses deep questions in arithmetic geometry with innovative technical approaches. Junior member of Institut universitaire de France (2007-2012) Prize Ferran Sunyer y Balaguer (2017, with J. Nicaise and J. Sebag) Chambert-Loir has supervised 10 PhD and 12 MA students while maintaining significant editorial responsibilities as Editor-in-Chief of Annales scientifiques de l'École normale supérieure and Algebra and Number Theory . He serves on the scientific advisory board of the Institut Henri Poincaré and contributes to major outreach efforts through public lectures and accessible mathematical writing. His research has been supported by prestigious fellowships including the Von Neumann Fellowship at IAS and membership in the Institut universitaire de France.

• Number Theory
• Algebraic Geometry
• p-adic Hodge Theory
• +۳ مورد دیگر

Dr. Zhixiang Wu is a Researcher at the Department of Mathematics and Computer Science, University of Münster, affiliated with the Mathematical Institute. His research focuses on advanced areas of Number Theory, Algebraic Geometry, and Representation Theory, with particular emphasis on p-adic Hodge Theory, eigenvarieties, and Galois representations. He explores topics such as trianguline varieties, non-regular Hodge-Tate weights, and modular forms through geometric and algebraic methodologies. Recent publications highlight his contributions to geometric translations of modules, local models for trianguline varieties, and companion points on eigenvarieties. His work bridges theoretical frameworks with computational techniques in modern number theory.

• Algebraic Topology
• K-theory
• Group Theory
• +۸ مورد دیگر

Irakli Patchkoria is a Lecturer in the Department of Mathematics at the University of Aberdeen, affiliated with the School of Natural and Computing Sciences. His research focuses on algebraic topology, K-theory, and homological algebra, with contributions to equivariant stable homotopy theory and Witt vectors. Research Interests: Algebraic Topology, K-Theory, Group Theory, Homological Algebra, Morava K-Theory, Algebraic Models for Homotopy Theories, Witt Vectors, de Rham-Witt Complex, TC and THH Computations, Equivariant Stable Homotopy Theory. The recent publications highlight his work on Adams spectral sequences, Witt vectors with coefficients, cyclic homology of differential graded algebras, and geometric fixed points of real topological cyclic homology. These contributions intersect algebraic topology, homotopy theory, and noncommutative geometry. Irakli is responsible for public outreach in his department and organizes the Aberdeen Topology Seminar. He has secured an EPSRC grant for research on classifying spaces and stable homotopy theory.

Andrew Salchمشاهده پروفایل

دانشیار

• Algebraic Topology
• Stable Homotopy Theory
• Number Theory
• +۳ مورد دیگر

Andrew Salch is an Associate Professor in the Department of Mathematics at Wayne State University's College of Liberal Arts and Sciences. His research bridges algebraic topology, number theory, and data science, with a focus on stable homotopy theory, formal groups, and topological methods for fMRI analysis. He mentors graduate students and develops computational tools for mathematical research. Education: Ph.D. in Mathematics, University of Rochester (2008) M.A. in Mathematics, University of Rochester (2005) B.S. in Mathematics, Portland State University (2003) Research Interests: Salch's work explores the interplay between homotopy theory and number theory, particularly via L-functions, Iwasawa theory, and formal modules. He also applies topological data analysis (TDA) to neuroscience, developing tools for fMRI data. His computational projects include Sage scripts for Morava stabilizer group actions and persistent homology workflows. Publication Trends: His articles primarily address algebraic topology (e.g., Morava stabilizer groups, cobordism) and number-theoretic connections (e.g., zeta-functions, Iwasawa invariants). Recent work expands into fMRI data analysis using persistent homology and statistical inference, reflecting interdisciplinary collaboration. Advising and Collaborations: He advises students like Mohammad Behzad Kang and collaborates with labs (e.g., Diwadkar Lab at WSU Medical School) on fMRI projects. His pure mathematics collaborations include work with Luca Candelori on topological modular forms and with Gabe Angelini-Knoll on homotopy limits. Tools and Software: Salch develops open-source tools for topological data analysis (e.g., fMRI pipelines) and computational topology (e.g., Sage scripts for formal group laws). His seminar notes on modular forms and L-functions are publicly shared.

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

Alexander Goncharov is the Philip Schuyler Beebe Professor of Mathematics at Yale University's Department of Mathematics. His research focuses on arithmetic algebraic geometry, geometry, representation theory, and mathematical physics. He has received the European Mathematical Society Prize for his contributions to mathematics. His work spans topics such as motives, moduli spaces, polylogarithms, and quantum geometry. Education: Ph.D. 1987 (USSR). His research explores connections between algebraic geometry, number theory, and physics, with a focus on motivic cohomology, Hodge theory, and geometric representation theory. He has contributed to the understanding of scattering amplitudes, cluster varieties, and quantum invariants of moduli spaces. Research highlights include studies on Hodge correlators, motivic fundamental groups, and the geometry of moduli spaces. His recent work integrates quantum geometry with algebraic structures, such as cluster algebras and non-commutative systems. Key publications address exponential volumes of hyperbolic surfaces, spectral descriptions of non-commutative systems, and quantum aspects of moduli spaces. He has authored over 100 papers and is a leading figure in the field, with contributions to both pure mathematics and its intersections with theoretical physics. His lab or team collaborations are not explicitly detailed in the provided texts.

Dimitar Jetchevمشاهده پروفایل

استاد

• Number Theory
• Arithmetic Geometry
• Mathematical Cryptology
• +۲ مورد دیگر

Dimitar Jetchev is a Swiss National Science Foundation Professor in number theory, arithmetic algebraic geometry, and mathematical cryptology at the School of Basic Sciences, EPFL. He leads the GR-JET research group and holds positions in the Mathematics Section (TAN) and SMA-GE unit. University of California at Berkeley, Ph.D. in Mathematics (2008) Harvard University, B.A. in Mathematics (2004) Jetchev's research spans number theory and cryptography, focusing on elliptic curves, Selmer groups, Euler systems, Heegner points, and complexity analysis of cryptologic algorithms. His work bridges pure mathematics and cryptographic applications like ECC and symmetric key protocols. His recent publications analyze isogeny graphs of abelian varieties, discrete logarithm problems in genus 2, equidistribution phenomena, and Euler systems. These works explore connections between automorphic representations, unitary groups, and cryptologic algorithms. Swiss National Science Foundation Professor Jetchev has advised PhD students including Boumasmoud Mohamed Réda, Dudeanu Alina, and Vuille Marius Lorenz. His research group GR-JET collaborates with institutions like IHES and EPFL's LACAL lab. He works on unitary Shimura varieties, special cycles, and their applications to Iwasawa theory and the Bloch-Kato conjecture. The GR-JET group investigates isogeny-based cryptosystems and algorithmic improvements in discrete logarithm computations.