جست‌وجوی استاد و پژوهشگر

• Tropical Geometry
• Cluster Algebras
• Combinatorics
• +۵ مورد دیگر

David E Speyer is a Professor in the Department of Mathematics at the University of Michigan . His research focuses on algebraic problems with combinatorial flavors , particularly in tropical geometry , cluster algebras , and geometry of Lie groups . He has supervised multiple PhD students, including Shelby Cox, Will Dana, and John Wiltshire-Gordon, and collaborated on projects with undergraduates like Grant Barkley and Benjamin Branman. Education: PhD in Mathematics from UC Berkeley under Bernd Sturmfels; undergraduate at Harvard. Research: Key areas include tropical geometry , cluster algebras , and flag manifolds . His work often bridges combinatorics, algebraic geometry, and representation theory. Publications: Over 40 papers, including breakthroughs in cluster algebras , affine weak order , and braid variety cluster structures . Awards: Clay Research Fellow (2005-2010). Teaching: Coordinates courses like Math 593 (graduate algebra) and Math 214 , with a focus on inquiry-based learning .

David Fisherمشاهده پروفایل

استاد

• Geometric Rigidity Theory
• Dynamical Systems
• Geometric Group Theory
• +۳ مورد دیگر

David Fisher is the Milton B. Porter Professor of Mathematics at Rice University, specializing in geometric rigidity theory, dynamical systems, and geometric group theory. His research explores lattice actions, superrigidity, quasi-isometric embeddings, and the Zimmer program, with collaborations spanning institutions like the University of Chicago and Stanford University. B.S., Columbia University Ph.D., University of Chicago (1999) His work focuses on the interplay between group actions, Lie groups, and topology. Key contributions include advancements in Zimmer's conjecture, rigidity of warped cones, and quasi-isometric rigidity of solvable groups. His publications highlight collaborations with leading mathematicians such as Alex Eskin, Gregory Margulis, and Shmuel Weinberger. Fisher’s research intersects coarse geometry, harmonic maps, and measure rigidity, often addressing fundamental questions in non-uniform lattices and affine actions. He maintains active engagement in the mathematical community through publications and academic leadership.

Peter Schneiderمشاهده پروفایل

استاد

• Arithmetic geometry
• Representation theory
• Cohomology theories
• +۷ مورد دیگر

Prof. Dr. Peter Schneider is a faculty member at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science and the Department of Mathematics and Computer Science . He is a principal investigator in the CRC 1442 Geometry: Deformations and Rigidity and contributes to the Mathematics Münster cluster. University: University of Münster School: Faculty of Mathematics and Computer Science Department: Department of Mathematics and Computer Science Academic Rank: Professor His research focuses on arithmetic geometry and representation theory , particularly the p-adic Langlands program , cohomology theories in mixed characteristics, and noncommutative algebraic structures. He investigates derived categories of p-adic representations, moduli spaces of Galois representations, and geometric approaches to automorphic forms. He has supervised numerous students, including Torsten Schoeneberg (2009), Marten Bornmann (2009), and Marius Kley (2016, 2019). His collaborative works with Rachel Ollivier, Otmar Venjakob, and Marie-France Vigneras explore modular Hecke algebras, Iwasawa theory, and (phi, Gamma)-modules. Emails: pschnei@wwu.de pschnei@uni-muenster.de Workshops Organized: Noncommutative Algebras (2006) Instructional workshop on noncommutative main conjectures (2011) International workshop on K-types for p-adic groups (2003)

Amir Mohammadiمشاهده پروفایل

استاد

• Ergodic theory
• Dynamical systems
• Discrete subgroups of Lie groups
• +۵ مورد دیگر

Amir Mohammadi is a Professor in the Department of Mathematics at the University of California, Berkeley , appointed in 2025. He is a member of the Senate Faculty and conducts research in the College of Letters and Science. His research interests lie at the intersection of ergodic theory , dynamical systems , and discrete subgroups of Lie groups . He explores deep connections between homogeneous dynamics, number theory, and geometry, with a focus on effective equidistribution, measure rigidity, and Diophantine approximation. His recent publications reflect a strong emphasis on effective results in homogeneous dynamics, including studies on unipotent flows, quadratic forms, and geodesic planes in hyperbolic manifolds. The work often involves collaboration with leading mathematicians and appears in top-tier journals such as Inventiones Mathematicae , Duke Mathematical Journal , and the Journal of the American Mathematical Society . Research is supported in part by the National Science Foundation (NSF) .

Paul A. Vojtaمشاهده پروفایل

استاد

• Diophantine Approximation
• Nevanlinna Theory
• Arakelov Theory
• +۴ مورد دیگر

Paul A. Vojta is a Professor in the Department of Mathematics at the University of California, Berkeley . He has held this position since July 1992 and previously served as Associate Professor (1989-1992) and as a Miller Fellow (1987-1989). Ph.D. in Mathematics, Harvard University (1983) A.M. in Mathematics, Harvard University (1980) B.Math., University of Minnesota (1978) His research interests focus on Diophantine approximation , Nevanlinna theory (particularly its connections to Diophantine approximation), and Arakelov theory . These areas bridge number theory with complex analysis and arithmetic geometry. His publications span topics like integral points on semiabelian varieties , Siegel's theorem , and Schmidt's subspace theorem , reflecting a deep engagement with Diophantine geometry and value distribution theory. Scientific awards include: Frank Nelson Cole Prize in Number Theory (1992) NSF Graduate Fellowship (1978-1981) NSF Postdoctoral Fellowship (1984-1987) Miller Research Fellowship (1987-1989) High rankings in the Putnam Competition (Top 5, 1977; 8th, 1976; Honorable Mention, 1975) NSF Summer Support (1990-2012) Advising highlights include supervising Ph.D. theses of: Khoa Nguyen (2014), Seth Dutter (2009), Aaron David Levin (2005), Nirit Sandman (2004), Sinan Unver (2003), David Kerr McKinnon (1999), Thomas John Tucker (1998), and Xiangjun Song (1996).

• Algebraic Number Theory
• Elliptic Curves
• Arithmetic Geometry
• +۸ مورد دیگر

Professor Tim Dokchitser is the Heilbronn Chair in Algebraic/Arithmetic Geometry at the School of Mathematics, University of Bristol. His research focuses on algebraic number theory, elliptic curves, arithmetic of L-functions, Galois theory, and computational algebra. He actively explores connections between number theory and finite groups, using computer experiments to advance conjectures like the Birch-Swinnerton-Dyer Conjecture. BSc, Lund University MSc, Lund University PhD, University of Utrecht MA, University of Cambridge His research spans hyperelliptic curves over local fields, Weil representations, tame Galois torsion, and finite group character formulas. Recent work includes computational approaches to Frobenius traces and étale cohomology in hyperelliptic curve quotients. Articles (2023-2025) highlight advancements in arithmetic geometry, zero-knowledge cryptography, and Galois representation theory. Scientific awards include a University Research Fellowship (2011-2014) for elliptic curves and L-functions. He leads projects like the 2015-2018 study on hyperelliptic curves and contributes to collaborations across arithmetic geometry. His computational methods have inspired conjectures in motivic cohomology and modular deformations.

Christopher Deningerمشاهده پروفایل

استاد

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

Christopher Deninger is a distinguished Professor in the Mathematical Institute at the University of Münster, Germany, where he leads research in Arithmetic Geometry and Representation Theory. His office is located in Room 413 of the Einsteinstr. 62 building, and he maintains active teaching responsibilities including courses in Representation Theory of Finite Groups, Linear Algebra, and specialized topics like Adic Spaces. Deninger's research spans multiple interconnected domains of modern mathematics, with a consistent focus on the deep connections between number theory and geometry. His work has evolved from classical arithmetic geometry to incorporate increasingly sophisticated connections with p-adic analysis, dynamical systems, and more recently proalgebraic fundamental groups. A unifying theme throughout his career has been exploring analogies between different mathematical structures, particularly those connecting analytic number theory with dynamical systems on foliated spaces. His recent publications reveal a continued expansion of his research program into new territories while maintaining connections to his foundational work. The most recent papers show increasing integration of algebraic topology concepts with arithmetic geometry, particularly through proalgebraic fundamental groups and their applications. The consistent thread throughout his decades of publications is the search for deeper structural connections between seemingly disparate areas of mathematics, particularly those bridging analysis, geometry and number theory. Professor Deninger has mentored an extensive number of doctoral students and postdoctoral researchers, as evidenced by the comprehensive list of former members in his working group. His collaborations span the international mathematical community, with numerous joint publications with leading mathematicians across Europe and beyond. While specific grant information isn't detailed in the available materials, his sustained publication record across decades suggests consistent research support for his mathematical investigations. The Mathematical Institute at Münster provides the institutional home for Deninger's research activities, where he maintains an active working group focused on arithmetic geometry and related fields. His office environment includes support staff and colleagues working in closely related mathematical domains, creating a vibrant research community centered around advanced topics in pure mathematics.

John Voightمشاهده پروفایل

استاد

• Arithmetic Algebraic Geometry
• Number Theory
• Cryptography
• +۴ مورد دیگر

John Voight is a Professor of Mathematics at the University of Sydney, affiliated with the School of Mathematics and Statistics. He holds a Ph.D. from UC Berkeley (2005) and has held academic positions at the University of Sydney, University of Minnesota, University of Vermont, and Dartmouth College. His research focuses on arithmetic algebraic geometry, number theory, and computational aspects of these fields, including modular forms, elliptic curves, and quaternion algebras. Education: Ph.D. in Mathematics, UC Berkeley (2005); earlier studies include a focus on classical piano and liberal arts at Gonzaga University. Professional trajectory includes postdoctoral roles at the University of Sydney and University of Minnesota, followed by faculty appointments at the University of Vermont (2006–2013) and Dartmouth College (2013–present). Research Interests: Arithmetic algebraic geometry: modular curves, Shimura varieties, moduli spaces, and algorithmic methods Number theory: algebraic number theory, quadratic forms, cryptography, and coding theory Computational mathematics: modular forms, quaternion algebras, and database construction (e.g., LMFDB) Publications and Recognition: Over 90 peer-reviewed articles, including contributions to Contemp. Math. , Math. Comp. , and Res. Number Theory . Recipient of the Selfridge Prize in Number Theory and recognized for teaching excellence at Dartmouth. Leads projects on Hilbert modular forms and paramodular abelian surfaces. Teaching and Mentorship: Emphasizes student-centered learning and the integration of liberal arts with STEM. Advises students on topics ranging from elliptic curves to cryptography. Active in curriculum design and promoting computational tools in mathematics education. Labs/Teams: Collaborates with the L-Functions and Modular Forms Database (LMFDB) project, contributing to computational frameworks for algebraic geometry and number theory.

Qile Chenمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Moduli Spaces
• Logarithmic Geometry
• +۳ مورد دیگر

Qile Chen is an Associate Professor in the Department of Mathematics at Boston College . His research focuses on Algebraic Geometry , particularly in Logarithmic Geometry , Moduli Spaces , and Gromov-Witten Theory . He has made significant contributions to understanding A^1-connectedness , Stable Log Maps , and Virtual Cycles in geometric contexts. His publications include collaborations with leading mathematicians such as Dan Abramovich , Felix Janda , Yi Zhu , and Dawei Chen . Key topics span Logarithmic GLSM , Multi-scale Differentials , and Spin/Hyperelliptic Structures . Recent Articles : Punctured logarithmic maps (2025), Gorenstein contractions (2024), Campana rational connectedness (2024) Co-advised Student : Zijian Han (Ph.D. in progress at Boston College)

Holly Kriegerمشاهده پروفایل

استاد

• Arithmetic Dynamics
• Complex Dynamics
• Algebraic Geometry
• +۱ مورد دیگر

Professor Holly Krieger is a faculty member at the University of Cambridge , affiliated with the Faculty of Mathematics and the Department of Pure Mathematics and Mathematical Statistics . Her research focuses on Arithmetic Dynamics , Complex Dynamics , and Algebraic Geometry , with recent work on rational periodic points and Manin-Mumford conjectures. Role : Professor Email : hkrieger@dpmms.cam.ac.uk Her research spans dynamical systems with applications to number theory and algebraic geometry. Key contributions include studies on birational maps, preperiodic points, and cohomological properties of endomorphisms. Recent publications (2024–2012) highlight her expertise in arithmetic and complex dynamics, with a focus on rational maps, Galois representations, and equidistribution problems. Email : hkrieger@dpmms.cam.ac.uk Room : E1.19 Phone : 01223 337970 Homepage : Personal Page

Don Blasiusمشاهده پروفایل

استاد

• Number theory
• arithmetic geometry
• automorphic forms

Don Blasius is a Professor of Mathematics at the University of California, Los Angeles (UCLA), serving as Managing Editor of the Pacific Journal of Mathematics and chair of the Mathematics-Economics Interdisciplinary Program (IDP). His research focuses on number theory, arithmetic geometry, and automorphic forms within the Department of Mathematics. His work centers on the deep connections between modular forms, elliptic curves, and fundamental conjectures in arithmetic geometry. Key investigations include generalizations of the Shimura-Taniyama conjecture, applications of Hilbert modular forms to Diophantine problems, and the role of Hodge theory in understanding algebraic cycles. His research frequently bridges automorphic representations with Galois cohomology to explore L-functions and arithmetic structures. Blasius's publication record reveals consistent thematic development since the 1990s, with increasing focus on modular forms and their geometric implications. His work demonstrates strong collaborative patterns, particularly with J. Rogawski on Shimura varieties and M. Borovoi on period torsors, while maintaining independent contributions to conjectural frameworks in number theory. No scientific awards were mentioned in the provided text. No information regarding student advising or research grants was provided in the text. He is an active member of the UCLA Number Theory Group, which drives collaborative research in modular forms, Diophantine equations, and related areas of pure mathematics through seminars and joint projects within the Department of Mathematics.

Gyujin Ohمشاهده پروفایل

استادیار

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

Gyujin Oh is a Ritt Assistant Professor in the Department of Mathematics at Columbia University's Faculty of Arts and Sciences. He received his PhD in mathematics from Princeton University in 2022 under the supervision of Christopher Skinner and Akshay Venkatesh. Prior to joining Columbia, he was a postdoctoral member of the SLMath/MSRI program Algebraic Cycles, L-Values, and Euler Systems in Spring 2023. Dr. Oh's research spans multiple areas of number theory and arithmetic geometry. His primary interests include Algebraic Number Theory, the Langlands Program, Modular Forms, Galois Representations, and Arithmetic Geometry. His work often bridges classical number theory with modern geometric approaches, exploring connections between automorphic forms, cohomology theories, and arithmetic structures. He has made contributions to understanding rigid local systems, the Néron-Ogg-Shafarevich criterion, and various aspects of the Langlands correspondence. His recent publications demonstrate a strong focus on advanced topics in number theory, particularly exploring the intersection of modular forms, Shimura varieties, and Galois representations. His work on generalized Whittaker models, moduli stacks of crystals, and arithmetic quantum local systems reflects his interest in both classical and cutting-edge approaches to number-theoretic problems. The pattern in his research shows a consistent theme of connecting geometric structures with arithmetic phenomena. Dr. Oh is an active educator who has developed comprehensive lecture notes for both undergraduate and graduate courses in Algebraic Number Theory. In Spring 2025, he is teaching Graduate Algebraic Number Theory (MATH GR6657) at Columbia University, covering local and global class field theory, Langlands program connections, and related advanced topics. He has also been involved in organizing and participating in numerous learning seminars including the Moduli of Langlands Parameters seminar, Theta learning seminar, and Deformation theory learning seminar.

• Number Theory
• Algebra
• Langlands Program
• +۳ مورد دیگر

Bence Hevesi is a MathInGreaterParis Postdoctoral Fellow at the Laboratoire de Mathématiques d'Orsay, affiliated with Université Paris-Saclay. Previously, he completed his PhD (2020–2023) at the London School of Geometry and Number Theory (LSGNT), a collaboration between King's College London, Imperial College London, and University College London. His primary supervisor during his PhD was Professor Fred Diamond, with additional supervision by Ana Caraiani. He holds a Master's degree in Mathematics, supervised by David Hansen, focusing on the Geometry of the de Rham affine Grassmannian . Research Interests: Bence specializes in Number Theory, particularly the Langlands program. His work explores global and p-adic aspects, including automorphic forms, Galois representations, and arithmetic geometry. He actively contributes to advancing methodologies in p-adic Hodge theory and representation theory. Publications/Preprints: His recent preprint, Ordinary parts and local-global compatibility at l=p , reflects his engagement with cutting-edge topics in number theory. This work bridges local and global perspectives in the Langlands program, with implications for understanding p-adic structures in arithmetic geometry. Awards & Grants: No specific awards or grants are mentioned, but his postdoctoral fellowship under MathInGreaterParis highlights institutional recognition of his research potential. His PhD at LSGNT was supported by the UK's Engineering and Physical Sciences Research Council (EPSRC). Labs & Collaborations: Based at Laboratoire de Mathématiques d'Orsay, he collaborates with leading researchers in arithmetic geometry and number theory. His work intersects with CNRS and international networks, fostering interdisciplinary advancements in algebraic number theory.

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.

Myrto Mavrakiمشاهده پروفایل

استادیار

• Arithmetic Geometry
• Dynamical Systems
• Unlikely Intersections
• +۷ مورد دیگر

Myrto Mavraki is an Assistant Professor in the Department of Mathematics at the University of Toronto, with affiliations to both the St. George and Mississauga campuses. She specializes in arithmetic geometry and dynamical systems, particularly the theory of unlikely intersections and canonical heights in families of rational maps. Institution: University of Toronto School: Faculty of Arts and Science Department: Department of Mathematics Rank: Assistant Professor Her research focuses on deep connections between arithmetic geometry and dynamical systems. Key areas include equidistribution, variation of canonical heights, preperiodic points, and unlikely intersections in families of maps, especially on the projective line and in elliptic surfaces. These topics lie at the heart of modern arithmetic dynamics and have strong ties to Diophantine geometry and number theory. The most recent publications show a sustained focus on canonical height variation, equidistribution, and the geometry of post-critically finite and preperiodic loci in parameter spaces. Collaborations with leading mathematicians such as Laura DeMarco, Harry Schmidt, and Hexi Ye reflect her central role in current developments in arithmetic dynamics. Her work combines algebraic, analytic, and arithmetic techniques to solve deep conjectures and establish foundational results. Her research is supported by an NSERC Discovery Grant and an Early Career Supplement (2024–2029), and previously by an NSF grant (DMS-2200981). She has mentored or collaborated with several prominent researchers and is likely supervising graduate students, though none are explicitly named. She does not list formal awards, but her publication record in top journals and prestigious fellowships indicate high recognition in the mathematical community. Mavraki held the Benjamin Peirce Fellowship at Harvard (2020–2023), a highly competitive postdoctoral position, and prior positions at the University of Basel and Northwestern University. She earned her PhD from the University of British Columbia under Dragos Ghioca.