جستجوی استاد راهنمای دانشگاهی

• Number Theory
• Representation Theory
• p-adic Groups
• +۳ مورد دیگر

Jessica Fintzen is a Professor of Mathematics at the University of Bonn since 2022, holding the Chair for Number Theory. Previously, she served as a Royal Society University Research Fellow and Lecturer at the University of Cambridge (2020–2022) and Assistant Professor at Duke University (2020–2021). Her academic journey includes postdoctoral roles at the University of Michigan (2016–2020) and the Institute for Advanced Study (2017–2018). She earned her PhD in Mathematics from Harvard University in 2016, alongside dual BSc degrees in Mathematics and Physics from Jacobs University Bremen (2011). Her research focuses on number theory and representation theory , particularly on p-adic groups and the Langlands program. She has organized high-profile conferences such as the 2020 Paul J. Sally, Jr. Midwest Representation Theory Conference and the Arizona Winter School 2025. Her work bridges theoretical insights with applications, including contributions to Bruhat-Tits theory, Hecke algebras, and automorphic forms. Fintzen has been recognized with prestigious awards, including the EMS Prize (2024), the Frank Nelson Cole Prize in Algebra (2024), and the Whitehead Prize (2022). She leads the ERC Starting Grant-funded project and has secured NSF grants, including a CAREER Grant. Her research also involves collaborations on topics like Moy-Prasad filtrations and stable vectors in representation theory. Grants: ERC Starting Grant (2022–2027), NSF CAREER Grant (2021–2026), NSF Grant (2018–2022) Fellowships: Sloan Research Fellowship (2021–2023), Royal Society Fellowship (2020–2025) Professional Activities: Organized conferences, led working groups, and contributed to initiatives like the Arithmetic Geometry and Representation Theory group in Bonn.

Jochen Heinlothمشاهده پروفایل

استاد

• Algebraic Geometry
• Moduli Spaces
• Algebraic Stacks
• +۷ مورد دیگر

Prof. Dr. Jochen Heinloth is a full Professor at the Faculty of Mathematics, University of Duisburg-Essen, where he leads a research group focused on algebraic geometry, moduli spaces, and algebraic stacks. He is actively involved in teaching, research, and seminar supervision, with a strong presence in both national and international mathematical communities. His research interests include Algebraic Geometry , Moduli Spaces , Algebraic Stacks , Higgs Bundles , and the Geometric Langlands Program . His work bridges abstract category-theoretic constructions with concrete geometric problems, particularly in the context of bundles and representations on algebraic curves. The most recent publications reflect a deep engagement with moduli theory, stability conditions, and geometric representation theory. Trends include the study of the P=W conjecture, support theorems for Hitchin fibrations, and structural results on algebraic stacks. His collaborations with leading mathematicians such as J. Alper, O. García-Prada, and Ngo Bao Chau highlight his central role in modern algebraic geometry. No scientific awards are mentioned in the provided text. Prof. Heinloth advises PhD students and junior researchers, as evidenced by his long-running Seminar on Stacks , where participants present advanced topics in algebraic geometry. He has supervised talks by X. Zhang, M. Zhou, and others, indicating active mentorship. While no grants are explicitly mentioned, his sustained research output and collaborations suggest ongoing funding support. He teaches a wide range of courses, from undergraduate algebra and analysis to advanced topics like Algebraic Geometry and Stacks. He leads the Research Group Heinloth , which organizes seminars and fosters collaboration on stacks, moduli, and related fields. The group hosts regular PhD-level seminars, often in collaboration with other researchers, and maintains a focus on both foundational and cutting-edge topics in algebraic geometry.

Moritz Kerzمشاهده پروفایل

استاد

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

Moritz Kerz is a Professor of Mathematics at the University of Regensburg's Faculty of Mathematics. His research spans arithmetic geometry and algebraic K-theory, with significant contributions to class field theory and cohomological methods. He leads a research group including postdoctoral scholars and doctoral candidates. Research Focus: Kerz's investigations center on: Non-archimedean K-theory and its applications to geometric problems Arithmetic invariants in positive characteristic Higher-dimensional class field theory constructions Monodromy representations and density theorems Publication Trends: Recent work demonstrates a consistent focus on K-theoretic invariants in arithmetic contexts, particularly through: Innovative applications to rigid analytic geometry Interactions between étale cohomology and representation theory Non-commutative generalizations of class field theory Awards: Minkowski Medal (2020) K-theory Prize (2014) Carus Medal (2011) Heinz Maier-Leibnitz Prize (2011) Cultural Prize of Bavaria (2009) Research Group: Current team members include Carolyn Echter, Lukas Krinner, Andrea Panontin, Yanshuai Qin, Yuenian Zhou, and Paul Ziegler, with research spanning arithmetic geometry and K-theory applications.

Justin Campbellمشاهده پروفایل

مدرس

• Geometric Representation Theory
• Algebraic Geometry
• Langlands Program
• +۱ مورد دیگر

Justin Campbell is a Dickson Instructor in the Department of Mathematics at the University of Chicago, specializing in geometric representation theory. His research explores connections between algebraic geometry and representation theory, with particular interest in the geometric Langlands program. Current investigations focus on categorical structures in representation theory and their applications to automorphic forms. His work bridges abstract mathematical theories with computational approaches to fundamental problems in algebra and geometry.

• Arithmetic Geometry
• Galois Representations
• Moduli Spaces
• +۲ مورد دیگر

Naoki Imai is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, specializing in Arithmetic Geometry, with a focus on Galois representations and moduli spaces. His research explores the intersection of number theory and algebraic geometry, particularly through applications to p-adic cohomology and Shimura varieties. Education: PhD in Mathematical Sciences, The University of Tokyo (2010) Master's in Mathematical Sciences, The University of Tokyo (2009) BSc in Mathematics, The University of Tokyo (2007) Research Interests: Galois representations Moduli spaces of arithmetic objects Geometrization of local Langlands correspondence Selected Awards: MSJ Takebe Katahiro Prize for Encouragement of Young Researchers (2011) Students: Katsuyuki Bando (2025) Joseph Muller (2023) Yuki Yamamoto (2022) Teppei Takamatsu (2022) His recent publications emphasize prismatic cohomology, moduli of p-divisible groups, and automorphic forms, with collaborations spanning institutions like Kyoto University, MIT, and UC Berkeley.

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.

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)

• 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.

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

Prof. Dr. Sascha Orlik is a Professor at the University of Wuppertal, leading the Algebra and Number Theory Working Group within the Department of Mathematics. His research focuses on arithmetic geometry, with particular emphasis on p-adic period ranges, the Langlands Program, Deligne-Lusztig varieties, and representation theory of p-adic and finite groups of Lie type. He has contributed to foundational studies in cohomology of period domains and equivariant vector bundles over Drinfeld's spaces. His working group includes members such as Dr. Andreas Bode, MSc. Erik Barinaga, and MSc. Dominik Briganti, alongside former members like Dr. Martin Bender and Dr. Christoph Spenke. He has authored a notable monograph *Period domains over finite and p-adic fields* (Cambridge Tracts in Mathematics) and numerous influential publications in journals like *Inventiones mathematicae* and *Advances in Mathematics*. Research trends in his articles span the interplay between geometric and cohomological methods in p-adic settings, with a focus on representation theory and its applications to number theory. His work bridges algebraic geometry, topology, and arithmetic, addressing key problems in modern arithmetic geometry and the Langlands Program.

• 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.

Dennis Gaitsgoryمشاهده پروفایل

استاد

• Representation Theory
• Algebraic Geometry
• Geometric Langlands Program
• +۲ مورد دیگر

Dennis Gaitsgory is a Professor of Mathematics at Harvard University since 2005 and Director of the Max Planck Institute for Mathematics (MPI) in Bonn since 2021. He holds dual roles in academia and research leadership. Education: Born in 1973. Studies at Tel Aviv University (1990–1996). PhD in Mathematics under Joseph Bernstein (1997). Research Interests: Focuses on advanced mathematical structures, including Representation Theory, Algebraic Geometry, and the Geometric Langlands Program. His work bridges abstract algebraic concepts with geometric frameworks, influencing modern theoretical mathematics. Awards: European Mathematical Society Prize (2000). Clay Senior Scholar (2019). Elected to the U.S. National Academy of Sciences (2020). Advising & Leadership: Served as a Visitor at the Institute for Advanced Study (1996–1999), Clay Research Fellow (2000–2004), and Professor at the University of Chicago (2001–2004). Directs the MPI’s research initiatives and oversees its mathematical programs. Institutional Affiliations: Leads the MPI for Mathematics, a global hub for pure mathematics research.

• 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.

Nick Wrightمشاهده پروفایل

دانشیار

• Coarse geometry
• Non-commutative geometry
• The Baum-Connes conjecture
• +۷ مورد دیگر

Nick Wright is an Associate Professor of Pure Mathematics at the University of Southampton , where he also serves as the Undergraduate Admissions Tutor for Mathematical Sciences. His research spans geometric and noncommutative frameworks, with a focus on coarse geometry and the Baum-Connes conjecture. Education: PhD in Mathematics from Penn State University, USA; BA/Part III/MA from the University of Cambridge. Research Interests: Nick investigates coarse geometry, non-commutative geometry, and geometric group theory. His work includes projects on metric geometry and analysis, Yu's Property A, amenable groups, and K-theory of affine Weyl groups. He collaborates with researchers like Graham Niblo and Roger Plymen. Recent Publications highlight trends in coarse median spaces, property A, and duality theorems. These works bridge abstract algebra with geometric structures, emphasizing infinite-dimensional analysis and topological classifications. Scientific Awards: Vice Chancellor's Award for Teaching (2013). Teaching: He currently teaches Hilbert Spaces and Harmonic Analysis modules, extending algebraic concepts to infinite-dimensional settings. Formerly taught Calculus and Analysis. Supervision: Currently supervises PhD students Dominic Charles Majda, Jane Toni Joy Turner, and Max Clarke in the Mathematical Sciences department. Grants: Funded by EPSRC and the Leverhulme Trust for projects including the Baum-Connes Conjecture and interdisciplinary work on preventing wide-area blackouts.

Roman Fedorovمشاهده پروفایل

دانشیار

• Algebra
• Combinatorics
• Geometry
• +۳ مورد دیگر

Roman Fedorov is an Associate Professor in the Department of Mathematics at the University of Pittsburgh, affiliated with The Dietrich School of Arts and Sciences. His research focuses on Algebra, Combinatorics, and Geometry, with notable contributions to principal bundles, Hodge modules, and moduli spaces. Fedorov actively engages in academic discourse through his research website and can be reached at fedorov@pitt.edu . Dr. Fedorov holds a PhD, though specific details of his educational background (e.g., institution, year of completion) are not provided in the text. His work bridges foundational conjectures like the Grothendieck-Serre conjecture with advanced topics such as algebraic K-theory and geometric representation theory. He also investigates connections between Hodge structures and hypergeometric differential operators, reflecting a deep interest in theoretical mathematics. His research interests span Algebraic Geometry, Combinatorics, and Geometry, with a focus on abstract structures like torsors under reductive groups and motivic invariants of Higgs bundles. Fedorov explores interdisciplinary applications, including the Langlands program and Frobenius manifold theory, while maintaining rigor in proofs and methodologies. While no scientific awards or grants are explicitly detailed, his publication record highlights sustained contributions to pure mathematics. Advising information is not provided, but his role as a faculty member suggests involvement in mentoring graduate students in algebraic geometry and related fields.

Nicolas Templierمشاهده پروفایل

استاد

• Algebra
• Applied Mathematics
• Geometry
• +۵ مورد دیگر

Nicolas Templier is a Professor of Mathematics at Cornell University, affiliated with the Department of Mathematics in the College of Arts and Sciences. He holds a Ph.D. from Montpellier University (2008). His research focuses on algebra, applied mathematics, geometry, and automorphic forms, with a particular emphasis on uncovering probabilistic patterns in number theory. Key themes include arithmetic statistics of families of automorphic representations, the Katz-Sarnak heuristics, arithmetic quantum chaos, and p-adic families of automorphic forms. He has also explored asymptotic properties of special functions, such as Bessel and Airy functions, using tools from symplectic geometry and integrable systems. Notably, he proved the mirror symmetry conjecture for minuscule flag varieties. Templier’s work bridges algebraic number theory, representation theory, and geometry. His research contributions include advancements in understanding the Sato-Tate conjecture, sup-norm bounds for automorphic forms, and the analysis of L-functions’ low-lying zeros. He teaches advanced courses such as Introduction to Number Theory and supervises research projects through courses like Supervised Research and Supervised Reading . While no specific awards are listed, his contributions to mathematics are recognized through his extensive publication record and academic leadership. Templier’s advising and teaching reflect his commitment to mentoring students in theoretical mathematics. His research often intersects with geometric and analytic methods, contributing to the broader field of arithmetic geometry and automorphic forms.