جستجوی استاد راهنمای دانشگاهی

Andreas Bode is a Research Fellow at the University of Wuppertal, where he is part of the group led by Sascha Orlik in the Department of Mathematics. His research focuses on D-modules on rigid analytic spaces, integrating geometric representation theory and nonarchimedean geometry. His research interests span several areas of algebraic geometry and number theory, including the study of p-adic differential operators, nonarchimedean geometry, and representation theory. He explores the interplay between D-modules and rigid analytic spaces, contributing to the understanding of holonomicity, Auslander regularity, and the application of almost mathematics in p-adic contexts. His work bridges geometric and analytic approaches to problems in nonarchimedean settings. Bode's recent publications include advancements in the theory of Auslander regularity for p-adic structures, contributions to the holonomicity of D-cap-modules on rigid analytic spaces, and explorations into locally analytic representations of p-adic groups. His work often intersects with homological algebra and functional analysis, reflecting a deep engagement with both theoretical and methodological challenges in nonarchimedean geometry. He has not been mentioned as having received any scientific awards in the provided texts. Bode's current role as a postdoctoral researcher does not involve formal academic advising of students. No grants are specifically mentioned in the provided information. He is affiliated with the Algebra and Number Theory group at the University of Wuppertal, collaborating with colleagues such as Sascha Orlik and contributing to the broader research community in nonarchimedean geometry.

• Algebraic Geometry
• Number Theory
• Representation Theory
• +۳ 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.

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

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

Artem Chernikov is a Professor and the Michael Brin Endowed Chair in Mathematics at the University of Maryland, College Park. Previously, he held positions at UCLA from 2015-2023, including roles as Assistant Professor (2015-2018), Associate Professor (2018-2022), and Professor (2022-2023). His research focuses on model theory, particularly Shelah's classification theory (stability, simplicity, NIP/NTP2 properties) and its applications to algebra, geometry, combinatorics, and computer science. He has supervised numerous graduate students and postdoctoral researchers, including notable advisees like Alex Mennen and Chuyin Jiang. Education includes a Ph.D. in Mathematical Logic from Université Claude Bernard Lyon 1 (2012), advised by Itaï Ben Yaacov, and a M.Sc. from Humboldt University Berlin (2009). He also held postdoctoral fellowships at the Hebrew University of Jerusalem, MSRI Berkeley, and Université Paris Diderot. Key awards include the 2023 NSF Research Grant, 2020 Simons Fellowship, 2017 NSF CAREER Award, and the 2013 Sacks Prize for best doctoral dissertation in mathematical logic. His work bridges model theory with combinatorics, topological dynamics, and valuation theory, yielding results in hypergraph regularity, invariant measures, and algebraic structures. Teaching includes advanced courses on model theory, stability, and combinatorics. He co-organized major conferences like the 2025 Model Theory and Applications conference in Warwick and the 2023 EMS Summer School in Leeds. His research outputs include over 30 peer-reviewed papers and invited talks globally, reflecting interdisciplinary impact.

• Model Theory
• Shelah's Classification Theory
• Stability/NIP/NTP2 Theories
• +۶ مورد دیگر

Artem Chernikov is a Professor and the Michael Brin Endowed Chair in Mathematics at the University of Maryland, College Park. His research focuses on model theory, particularly Shelah's classification theory (stability, simplicity, NIP, NTP2), and its applications to algebra, geometry, combinatorics, and computer science. He has held academic positions at UCLA from 2015 to 2023, progressing from Assistant to Full Professor. Chernikov earned his Ph.D. in Mathematical Logic from Université Claude Bernard Lyon 1 (2012) under Itaï Ben Yaacov, and prior education includes a master's from Humboldt University Berlin and a diploma in Information Systems from the State University of Telecommunications in St. Petersburg. His research interests emphasize the interplay between model theory and combinatorics, including studies on dependent (NIP) theories, valued fields, and applications to algebraic structures. Chernikov has organized numerous conferences and workshops, including events at the Fields Institute, National University of Singapore, and CIRM. He is an editor for Model theory and Mathematical Logic Quarterly . Key awards include the Sacks Prize (2013) for best thesis in mathematical logic, Sloan Research Fellowship (2016), NSF CAREER Award (2017), and Simons Fellowship (2020). His funded projects include NSF grants exploring model-theoretic classification and its combinatorial applications. Chernikov has advised numerous graduate students (e.g., Alex Mennen, Chuyin Jiang) and postdocs (e.g., Benjamin Castle, Mariana Vicaria). He also supervises undergraduate research, including projects on logic and model theory. His work bridges foundational logic with applied areas like combinatorics and algebraic geometry.

• Model Theory
• Mathematical Logic
• Shelah's Classification Theory
• +۵ مورد دیگر

Mikael Pichot is an Associate Professor in the Department of Mathematics and Statistics at McGill University, located in Montreal, Quebec. His research focuses on Geometric Group Theory, Analysis, and related areas such as Operator Algebras and Metric Geometry. He is actively involved in organizing academic events and seminars, including the Group Theory Seminar and CRM-ISM Colloquium, and has contributed to numerous collaborations, often with co-authors like Sylvain Barre and Robert Graham. His teaching includes courses such as Math 223 (Linear Algebra) and Math 570/571 (Higher Algebra sequences). Pichot's research interests span topics like geometric group actions, sofic dimension, L2 invariants, and random groups. He has published extensively in peer-reviewed journals and presented at international conferences. His work often bridges algebraic, geometric, and analytic approaches to group theory. Despite his active academic contributions, no specific awards or grants are explicitly listed in the provided texts. He maintains a personal webpage and collaborates on projects such as 'Surgery on discrete groups' and 'Random groups and nonarchimedean lattices.' His research also touches on foundational questions in operator algebras and geometric topology, reflecting a deep engagement with the structural properties of groups and their applications.

• Geometric Group Theory
• Analysis
• Group Theory
• +۳ مورد دیگر

Xavier Allamigeon is a researcher at INRIA and CMAP (Centre de Mathématiques Appliquées) at École Polytechnique, where he also serves as a part-time associate professor in the Applied Mathematics Department. His research focuses on optimization, combinatorics, tropical geometry, game theory, and formalization of mathematics in proof assistants, with a particular emphasis on computational aspects of these fields. He earned his Ph.D. in 2009 from École Polytechnique with a thesis on static analysis of memory manipulations and tropical polyhedra. His work bridges theoretical mathematics and practical applications, including contributions to emergency call center modeling and epidemic monitoring during the COVID-19 pandemic. Key awards include the 2022 Prix Inria–Académie des sciences, the 2021 SIAM SIGEST award, and the 2010 Gilles Kahn Prize for Best Dissertation in Computer Science. His research has led to the development of tools like the Tropical Polyhedra Library (TPLib) and formal proofs in proof assistants such as Coq. He has supervised multiple Ph.D. students and contributed to funded projects such as URGE (2023–2026) and CAPPS (2018–2021). His interdisciplinary work spans optimization, formal methods, and applied mathematics, with applications in healthcare systems and computational geometry.

• Optimization
• Combinatorics
• Tropical Geometry
• +۳ مورد دیگر

Prof. Dr. Peter Bürgisser is a Professor at the Technical University of Berlin, affiliated with the Institute of Mathematics and the Algorithmic Algebra research group within Faculty II - Mathematics and Natural Sciences. His research focuses on algebraic complexity theory, computational algebra, and geometric methods in computer science. Bürgisser has made significant contributions to topics including invariant theory, numerical analysis of algorithms, and the computational complexity of algebraic problems. He has authored influential books such as *Algebraic Complexity Theory* and has published extensively in top-tier journals like the Journal of the ACM and SIAM Journal on Computing. His work includes developing polynomial-time algorithms for problems in invariant theory, analyzing the condition numbers of algebraic varieties, and studying the computational aspects of semialgebraic sets. Bürgisser's research also intersects with probability theory, particularly in understanding the statistical properties of zeros of random polynomials and the geometry of random algebraic varieties. Recent trends in his publications emphasize geometric complexity theory, non-commutative optimization, and the application of numerical methods to algebraic problems. He has collaborated with researchers such as Felipe Cucker, Michael Walter, and Avi Wigderson on foundational topics in computational mathematics and theoretical computer science. Bürgisser's office is located in room EB 116, and his contact information includes the email pbuerg@math.tu-berlin.de. His research has been supported through grants and collaborations, though specific grant details are not explicitly mentioned in the provided texts.

• Algebraic Complexity Theory
• Computational Algebra
• Geometric Complexity Theory
• +۴ مورد دیگر

Prof. Tobias Schmidt is a Professor in the Department of Mathematics at Bergische Universität Wuppertal, affiliated with the Faculty of Mathematics and Natural Sciences. His research focuses on Algebra, Number Theory, and Representation Theory, with a particular emphasis on D-modules, p-adic analysis, and algebraic geometry. He has supervised multiple doctoral students, including Ziqian Yin and Julian Reichardt. Recent research includes studies on equivariant D-modules, Lubin-Tate moduli spaces, and Hecke modules, with publications in journals like Mathematische Zeitschrift and Representation Theory. He actively participates in academic conferences and collaborates with institutions in Rennes, Strasbourg, and beyond. His work bridges geometric and arithmetic aspects of representation theory, contributing to the p-adic Langlands program and related fields. Teaching includes courses on linear algebra and seminars on algebraic topology and representation theory. His research spans over two decades, with key contributions to D-module theory, distribution algebras, and modular representation theory. Professional service includes organizing conferences like the 2021 GDR TLAG colloquium and participation in workshops across Europe.

• Algebra
• Number Theory
• Representation Theory
• +۳ مورد دیگر

Michel L. Lapidus is a Distinguished Professor of Mathematics and holder of the Burton Jones Endowed Chair in Pure Mathematics at the University of California, Riverside. He holds cross-appointments in Physics/Astronomy and Computer Science. He earned his Ph.D. and Doctorat d'État ès Sciences from Université Pierre et Marie Curie (Paris VI). His research bridges fractal geometry , mathematical physics , and number theory , focusing on spectral analysis of fractal drums, p-adic fractal strings, Feynman path integrals, and connections between fractal zeta functions and the Riemann hypothesis. Recent work explores complex dimensions, multifractal zeta functions, and noncommutative fractal structures. Publication trends reveal deep interplays between geometric measure theory, dynamical systems, and spectral theory, with applications to quantum physics and arithmetic geometry. His articles frequently employ zeta functions, tube formulas, and operator algebras to characterize fractal spaces. Scientific Awards: Fellow of AAAS and AMS; Anassilaos International Prize; Dissertation Mentor Award; Creative Research Medal He directs the Fractal and Mathematical Physics Research Group , mentoring over 20 PhD students and postdocs. Funded by NSF grants including DMS-1107750, his work supports investigations into fractal spectral theory and noncommutative flows.

• Fractal Geometry
• Mathematical Physics
• Spectral Analysis
• +۵ مورد دیگر

Daniel Studenmund is an Assistant Professor in the Department of Mathematics and Statistics at Binghamton University. His research lies at the intersection of geometric group theory and discrete subgroups of Lie groups, focusing on abstract commensurators and quantifying residual finiteness through invariants like Comm(G). PhD and MS in Mathematics from the University of Chicago BA in Mathematics from Haverford College His research explores the structure of finite-index subgroups, superrigidity, and cohomology of arithmetic groups using algebraic and geometric methods. Recent work includes studies on topological models of commensurators, surface group invariants, and growth rates of lattice functions. He has held positions supported by NSF Research Training Group grants at the University of Notre Dame and the University of Utah. His office contact is dstudenm@binghamton.edu and Binghamton University's address.

• Geometric Group Theory
• Discrete Subgroups of Lie Groups
• Abstract Commensurator
• +۳ 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.

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

David Jensen is an Associate Professor of Mathematics at the University of Kentucky's Department of Mathematics. He holds affiliations with the UK Math Lab and has been a postdoc at Stony Brook University and Yale. His research focuses on the geometry of algebraic curves, tropical geometry, and nonarchimedean analytic spaces. He has advised 4 PhD students and currently mentors 3 more. PhD: University of Texas at Austin (2010), advised by Sean Keel Postdoc: Stony Brook University (2010–2013), Yale (2013–2014) Research Interests: Brill-Noether Theory Tropical Geometry and Moduli Spaces Graph Gonality and Chip Firing Nonarchimedean Analytic Spaces Recent work explores combinatorial approaches to algebraic geometry, including chip-firing games on graphs and tropical linear series. His articles often bridge combinatorics and classical algebraic geometry, focusing on moduli spaces, divisor theory, and geometric constructions. He has been involved in undergraduate research programs like the UK Math Lab and SUMRY at Yale, mentoring over 20 students. His teaching spans courses from calculus to advanced topics like algebraic geometry and tropical Brill-Noether theory. Labs/Teams: Leads the UK Math Lab, fostering undergraduate research in algebraic geometry and combinatorics.

• Algebraic Geometry
• Tropical Geometry
• Nonarchimedean Analytic Spaces
• +۴ مورد دیگر

Kiran S. Kedlaya is a Professor of Mathematics and holds the Stefan E. Warschawski Chair in Mathematics at the University of California San Diego (UCSD). He earned his Ph.D. in Mathematics from MIT in 2000. Prior to UCSD, he held academic positions at MIT and postdoctoral roles at institutions including MSRI and the Institute for Advanced Study. Education: Ph.D., Mathematics, MIT (2000) His research focuses on number theory, arithmetic algebraic geometry, and p-adic methods, with specialties in p-adic Hodge theory, nonarchimedean analytic geometry, and algorithms in arithmetic geometry. He contributes to open-source projects like SageMath and the LMFDB database. Awards include recognition as an ICM Speaker (2010), a Presidential Early Career Award, and fellowships from the Sloan Foundation and Clay Mathematics Institute. He serves on editorial boards and governance bodies for organizations such as the American Mathematical Society and IPAM. Current grants include NSF funding and the UCSD Warschawski Chair. He coordinates undergraduate internships (Math 197) and teaches advanced courses in algebra and mathematical software. His professional roles extend to promoting diversity in STEM through programs like BEAM and governance of initiatives like Budapest Semesters in Mathematics.

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

Prof. Peter Bürgisser is a Professor in the Institute of Mathematics at Technische Universität Berlin, leading the Research Group on Algorithmic Algebra. His work focuses on computational complexity, invariant theory, algebraic geometry, and probabilistic methods in mathematics. He holds a prominent role in advancing theoretical computer science and algorithmic algebra through his research and publications. Research interests include Algorithmic Algebra, Computational Complexity, Invariant Theory, Optimization, and Probability Theory. His contributions span foundational work in geometric complexity theory, probabilistic algebraic geometry, and efficient algorithms for algebraic problems. Publications highlight his expertise in topics like random fewnomials, nonarchimedean geometry, and polynomial time algorithms for invariant theory. His work is published in top journals such as Journal für die reine und angewandte Mathematik and Foundations of Computational Mathematics . Prof. Bürgisser is actively involved in academic activities, including teaching and advising, though specific student names are not listed in the provided texts. His research has been supported by grants and collaborations with institutions worldwide.

• Algorithmic Algebra
• Computational Complexity
• Invariant Theory
• +۴ مورد دیگر