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Ngô Bảo ChâuView profile

Professor

• Automorphic Forms
• Langlands Program
• Algebraic Geometry
• +4 more

Ngô Bảo Châu is the Francis and Rose Yuen Distinguished Service Professor at the Department of Mathematics , University of Chicago. His work bridges automorphic forms, algebraic geometry, and number theory, with significant contributions to the Langlands program and geometric endoscopy. Research Interests : Automorphic forms, geometric representation theory, Hitchin systems, fundamental lemma, integrable systems, and arithmetic geometry. Publications : His recent work includes advancements in perverse sheaves, Langlands functoriality, and geometric interpretations of automorphic L-functions. Students : He has mentored PhD students such as Alexis Bouthier, Shuyang Cheng, and Hồ Phú Quốc, many of whom now hold postdoctoral or academic positions. Teaching : Courses include representation theory of p-adic reductive groups, algebraic number theory, and geometry of Hitchin fibrations. Editorial Roles : Serves on the editorial boards of Grundlehren der mathematischen Wissenschaften , Compositio Mathematica , and Vietnamese mathematical journals.

Graham NibloView profile

Professor

• Geometric group theory
• Non-commutative geometry
• Low dimensional topology
• +1 more

Professor Graham Niblo is a leading academic in geometric group theory and non-commutative geometry at the University of Southampton , where he has served as Head of Pure Mathematics (2007-2011) and Head of Mathematical Sciences (2012-2015). His research bridges geometry, topology, and analysis, focusing on the large-scale geometry of non-positively curved spaces. Education : BSc (Hons) Pure Mathematics, University of Reading (1981) MSc Mathematics (Distinction), University of London (1985) PhD, University of Liverpool (1988) His work explores coarse geometry , CAT(0) cube complexes , and Langlands duality , with applications in cryptography and pure mathematics. Recent publications include studies on Property A, coarse median algebras, and K-theory of affine Weyl groups. Scientific awards : Leverhulme Research Fellow (2011) Fellow of the Institute of Mathematics and its Applications (2012) SERC Postdoctoral Fellowship (1988) He supervises PhD students (e.g., Dominic Charles Majda) and leads the National Cipher Challenge , a mathematics outreach program. External roles include chairing the EPSRC Mathematical Sciences Strategic Advisory Team (2018-2020) and serving on the EPSRC Science and Engineering Technology Board (2021-2025).

Yiwen DingView profile

Associate Professor

• Number Theory
• Representation Theory
• p-adic Langlands Programme
• +1 more

Yiwen Ding is an Associate Professor at the Beijing International Center for Mathematical Research (BICMR), Peking University. His research focuses on advanced topics in pure mathematics, particularly the intersection of number theory and representation theory. He specializes in the p-adic Langlands program, exploring its arithmetic applications through innovative approaches to Galois representations and automorphic forms. Research Interests: Dr. Ding's work centers on: Number Theory : Especially p-adic aspects and arithmetic applications Representation Theory : With emphasis on locally analytic representations of p-adic groups p-adic Langlands Programme : Bridging automorphic forms and Galois representations L-invariants & Local-Global Compatibility : Fundamental constructs in modern arithmetic geometry His publications demonstrate consistent focus on p-adic methods in representation theory, featuring advancements in: L-invariants, locally analytic representations, deformation theory, and the geometric Langlands correspondence. Recent work (2023-2024) shows deepened exploration of crystabelline representations and weight structures in p-adic contexts. No scientific awards, student advisees, or grant information are mentioned in available materials.

• Arithmetic Geometry
• Cohomological Theories
• Algebraic Geometry
• +2 more

Alessandra Bertapelle serves as Associate Professor and Head of the Department of Mathematics at the University of Padua. Her academic appointment resides within the Department of Mathematics, where she leads both research and administrative functions. Her research program centers on advanced mathematical frameworks: Arithmetic Geometry: Investigating Diophantine equations and schemes over number rings using geometric methods Cohomological Theories: Applying étale, motivic, and crystalline cohomology to arithmetic problems These specialties represent cutting-edge intersections of algebraic geometry and number theory, with implications for Langlands program components and rational point studies. Her work maintains strong connections to Grothendieck's foundational theories while addressing contemporary challenges in motivic integration.

• Number Theory
• Modular Forms
• p-adic Automorphic Forms
• +7 more

Xiaoyu Zhang is a Research Assistant in Prof. Massimo Bertolini's group at the Faculty of Mathematics, University of Duisburg-Essen (ESAGA), specializing in number theory and arithmetic geometry. He obtained his PhD in 2019 from Université Paris 13 under Jacques Tilouine. Education: PhD (2019), Université Paris 13, Supervisor: Jacques Tilouine His research focuses on p-adic automorphic forms, modularity lifting theorems, theta correspondence, and Iwasawa theory , with significant contributions to Selmer groups, Bloch-Kato conjectures, and special values of L-functions. His work bridges algebraic geometry and number theory through advanced techniques in Galois representations and automorphic forms. His publication trends reveal a sustained investigation into modular forms and their arithmetic applications, particularly examining p-adic properties of theta lifts, convergence of indefinite series, and structural theorems for orthogonal/symplectic groups. Recent work emphasizes connections between geometric constructions (log abelian varieties, Hecke orbits) and deep conjectures in Iwasawa theory. Teaching & Mentoring: Regularly teaches advanced courses including Modular Forms (Parts 1-2), Master Seminars on Number Theory (Euler systems, elliptic curves, modularity theorems) Has led 15+ courses/seminars since 2019 covering automorphic forms, Galois representations, and arithmetic geometry He is actively involved in the ESAGA research group, collaborating on projects related to the Langlands program and arithmetic of Shimura varieties. Zhang is currently on the academic job market for Fall 2025 positions.

Quoc HoView profile

Assistant Professor

• Geometric Representation Theory
• Quantum Knot Invariants
• Categorification
• +3 more

Quoc Ho is an Assistant Professor in the Department of Mathematics at the Hong Kong University of Science and Technology (HKUST). He organizes the Algebra and Geometry Seminar at HKUST and focuses on advanced research at the intersection of geometric representation theory and quantum knot invariants. His work employs techniques from higher category theory and homotopy theory. Education: Ph.D. from the University of Chicago (2017), advised by Ngo Bao Chau and Dennis Gaitsgory. Undergraduate degree from Princeton University. Research Interests: Geometric representation theory, quantum knot invariants, categorification, factorization algebras/homology, quantum groups, and homological stability. He explores these areas through interdisciplinary methods, including factorization homology and homotopical algebra. His recent papers address topics like Hecke categories, homological densities, character sheaves, and mixed geometry, often collaborating with Penghui Li. His work bridges algebraic geometry, topology, and category theory, with applications to knot theory and representation theory. While no academic awards or grants are explicitly listed, his research contributions reflect significant scholarly activity. His advising and lab affiliations are not detailed here, but his extensive publication record indicates active mentorship and collaboration.

Kęstutis ČesnavičiusView profile

Researcher

• Algebraic Geometry
• Number Theory
• Arithmetic Geometry
• +4 more

Kęstutis Česnavičius is a Researcher (chargé de recherche) at CNRS, affiliated with the Department of Mathematics at the University of Paris-Saclay. His primary research focuses on algebraic geometry and number theory, with a strong emphasis on cohomology theories, torsors, and arithmetic geometry. He collaborates extensively with leading mathematicians such as Peter Scholze and Alexis Bouthier, addressing foundational questions in these fields. His work spans topics including flat cohomology, the geometry of affine Grassmannians, and the interplay between torsors and reductive groups. Notable contributions include resolving purity conjectures and advancing understanding of Manin constants and Brauer groups. His research often bridges geometric and arithmetic perspectives, leveraging tools from algebraic topology and representation theory. Publications highlight advancements in areas such as the Grothendieck-Serre conjecture, Macaulayfication of schemes, and p-adic Hodge theory. His expository writings, including contributions to Séminaire Bourbaki, further illuminate complex topics like étale homotopy and rational points obstructions. Affiliations: CNRS (chargé de recherche), Université Paris-Saclay (Institut de Mathématique d'Orsay) Key Research Themes: Torsors, Cohomology, Algebraic Stacks, Elliptic Curves, Modular Forms Labs or teams are not explicitly mentioned in the provided texts, but his collaborations suggest involvement with leading research networks in arithmetic geometry and algebraic geometry.

Linus HamannView profile

Research Fellow

• Arithmetic Geometry
• p-adic Numbers
• Geometric Langlands Correspondence
• +3 more

Linus Hamann is a Benjamin Pierce Fellow at Harvard University, specializing in arithmetic geometry and p-adic numbers. His research bridges the classical and geometric Langlands correspondences, focusing on the cohomology of Shimura varieties and related moduli spaces. Current Position: Benjamin Pierce Fellow, Harvard University Previous Roles: NSF Postdoc at Stanford University, PhD from Princeton University (2023) His work explores finiteness theorems, torsion vanishing phenomena, and compatibility with the Fargues-Scholze correspondence for unitary and reductive groups. Recent publications emphasize intertwining operators, duality theorems, and applications to automorphic forms. Linus's research trends include geometric Langlands, p-adic Hodge theory, moduli stacks, and trace formulas. His publications analyze structures like Jacobian criteria for v-stacks and dualizing complexes on moduli spaces. Scientific Awards: Benjamin Pierce Fellowship NSF Postdoctoral Fellowship He teaches courses such as Categorical Langlands and Shimura Varieties (Math 268A) , covering advanced topics in arithmetic geometry and Langlands duality.

Dan M. BarbaschView profile

Professor

• Representation Theory
• Lie Groups
• Algebra
• +3 more

Dan M. Barbasch is a Professor in the Department of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He holds a Ph.D. from the University of Illinois (1976). His research focuses on representation theory of reductive Lie groups, particularly the classification of unitary duals and their connections to orbit structures of Lie algebras, automorphic forms, and number theory. He has contributed to areas like Dirac cohomology, affine Hecke algebras, and spherical unitary duals. Recent teaching includes courses on number theory, differential geometry, and supervised research. Research highlights include foundational work on unipotent representations, Langlands classification, and collaborations with experts like Pandzic, Vogan, and Trapa. His work bridges algebraic and geometric approaches in representation theory. Current courses (2025) include MATH 3320 (Number Theory), MATH 3210 (Manifolds/Differential Forms), and graduate-level supervised research. Professional activities include organizing conferences, mentoring students, and contributing to the Lie Groups Seminar. His publications explore topics such as Dirac index, spherical unitary duals, and infinitesimal character reductions.

• Algebraic Geometry
• Number Theory
• Arithmetic Geometry
• +1 more

Sigrid Yanara Palacios Castillo is a Researcher at the University of Cologne's Mathematical Institute, affiliated with the Department of Mathematics and Computer Science. She holds a Dr. phil. (PhD) in Mathematics from the University of Bonn (2018) and conducted postdoctoral research at Princeton University (2019–2021). Her research focuses on Algebraic Geometry, Number Theory, and Arithmetic Geometry, with applications to cryptography and geometric representation theory. Education: PhD in Mathematics, University of Bonn, 2018 Postdoc, Princeton University, 2019–2021 Her work explores moduli spaces of abelian varieties, p-adic cohomology, and geometric approaches to the Langlands program. She has been recognized with the Award for Outstanding Research in Arithmetic Geometry (2021) . Awards: Award for Outstanding Research in Arithmetic Geometry (2021) Advising & Grants: Supervised PhD students: Lisa Müller (2022), Johannes Weber (2023) Recipient of an ERC Starting Grant (2022–2027) Labs/Teams: Part of the Arithmetic Geometry Research Group at Cologne, collaborating on interdisciplinary projects.

Robbert DijkgraafView profile

Professor

• Theoretical Physics
• Mathematical Physics
• String Theory
• +4 more

Robbert Dijkgraaf is a Dutch mathematical physicist and former Director of the Institute for Advanced Study (IAS) in Princeton, serving from 2012 to 2022. He holds the title of Leon Levy Professor at the IAS and is a Distinguished University Professor of Mathematical Physics at the University of Amsterdam. His academic career includes roles such as Research Associate at Princeton University (1989–1991) and Professor at the University of Amsterdam (1992–2004). **Education:** He earned a B.Sc. (1982), M.Sc. (1986), and Ph.D. (1989) in theoretical physics from Utrecht University. **Research Interests:** Focus on string theory, quantum field theory, and the interface between mathematics and particle physics. He has contributed to matrix models, topological string theory, and black hole entropy. A passionate advocate for science communication, he writes a monthly column in NRC Handelsblad and launched the educational website Proefjes.nl . **Awards & Honors:** Recipient of the Spinoza Prize (2003), Knight of the Order of the Netherlands Lion (2012), and honorary doctorates from Leiden University, Vrije Universiteit Brussel, and Radboud University Nijmegen. He is a member of prestigious academies, including the American Academy of Arts and Sciences. **Public Engagement:** Served as Minister of Education, Culture, and Science of the Netherlands (2022–present). Authored The Usefulness of Useless Knowledge (2017), co-authored with Abraham Flexner, emphasizing the value of basic research. Active in policy roles, including past leadership of the Royal Netherlands Academy of Arts and Sciences and the InterAcademy Council. **Key Contributions:** Advocated for open science, climate policy, and international academic collaboration. His work bridges theoretical physics with public discourse, emphasizing science’s societal role.

• Geometric Langlands program
• Representation theory
• Hopf algebras
• +3 more

Daniel S. Sage is a Professor in the Department of Mathematics at Louisiana State University, Baton Rouge. He earned his A.B. summa cum laude in Mathematics from Harvard University (1989), followed by S.M. (1990) and Ph.D. (1995) in Mathematics from the University of Chicago. His professional experience includes positions at the University of Utah, Institute for Advanced Study (Princeton), Max Planck Institute for Mathematics, University of Paris VII, University of Zurich, Courant Institute, and Mathematical Sciences Research Institute. His research focuses on: The geometric Langlands program Geometric and combinatorial methods in representation theory Hopf algebras and quantum groups Composite materials and the G-closure problem His recent publications (2011-2020) show strong emphasis on geometric representation theory, moduli spaces, quantum algebras, and differential systems, with consistent applications of algebraic geometry to problems in mathematical physics and Lie theory. Awards and Honors: Ethel Raybould Visiting Fellow, University of Queensland (2017)

Constantin TelemanView profile

Professor

• Lie groups
• Algebraic geometry
• Topology
• +1 more

Constantin Teleman is a Professor in the Department of Mathematics at the University of California, Berkeley, and serves as Senate Faculty. His research focuses on Lie groups, algebraic geometry, topology, and quantum field theory. He holds a BA, MA from Harvard College (1991), an MSc from Cambridge (1994), and a PhD from Harvard (1994). Teleman's work bridges geometric and algebraic structures, including contributions to gauge theory, mirror symmetry, and topological quantum field theories. His recent publications explore matrix factorizations, loop groups, and moduli spaces. Despite no explicit awards mentioned, his extensive collaborations and publications reflect significant academic impact. Advises students in specialized areas like chromatic homotopy theory, geometric invariant theory, and topological quantum field theories. Office: 903 Evans Hall | Contact: teleman@berkeley.edu

Beth RomanoView profile

Lecturer

• Number Theory
• Representation Theory
• Local Langlands Correspondence
• +3 more

Beth Romano is a Lecturer in Pure Mathematics at King's College London's Department of Mathematics, within the Faculty of Natural, Mathematical & Engineering Sciences. Her research focuses on number theory and representation theory, particularly the local Langlands correspondence, arithmetic invariant theory, and Vinberg theory. She holds a PhD from Boston College and has held postdoctoral positions at the University of Cambridge and Somerville College, Oxford, before joining King's in 2022. Her educational background includes a PhD under Professor Mark Reeder, followed by postdoctoral research in prestigious institutions. Her work bridges abstract algebraic structures and geometric representations, with recent contributions to L-functions, nonabelian Fourier transforms, and epipelagic representations. She actively collaborates internationally, as evidenced by co-authored papers with experts like James Thorne. Her research outputs (2022–2024) explore advanced topics such as symmetries in lattice algorithms and stability in Vinberg representations, reflecting her commitment to foundational mathematical inquiry. Beyond academia, she swims at Hampstead Heath and contributes to AGNI Magazine.

• Mathematics
• Number Theory
• Algebraic Geometry
• +3 more

Heejong Lee is a Golomb Visiting Assistant Professor of Mathematics at Purdue University's Department of Mathematics, part of the College of Science. His research focuses on advanced topics in number theory, algebraic geometry, and tropical geometry with applications to representation theory and arithmetic geometry. His recent work includes studies on Emerton–Gee stacks, Serre weights, and local-global compatibility in the context of Galois representations and modular forms. Earlier contributions explored tropical geometry, particularly bitangents of non-smooth tropical quartics. No scientific awards or grants are explicitly listed in the provided information. He does not currently have a documented list of advisees or students.