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David Ben-Zvi

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David Ben-Zvi
NameDavid Ben-Zvi
Birth date1970s
Birth placeJerusalem, Israel
Alma materHebrew University of Jerusalem; Massachusetts Institute of Technology
OccupationMathematician; Professor
FieldsRepresentation theory; Algebraic geometry; Number theory
InstitutionsUniversity of Chicago; Tel Aviv University; Massachusetts Institute of Technology; Institute for Advanced Study

David Ben-Zvi is an Israeli-American mathematician known for contributions to representation theory, algebraic geometry, and geometric aspects of number theory. He has held faculty positions and visiting appointments at leading institutions and has collaborated with researchers across topology, mathematical physics, and categorical algebra. His work connects classical structures such as the Langlands program, moduli spaces, and D-modules to modern developments in higher category theory and quantum field theory.

Early life and education

Ben-Zvi was born in Jerusalem and completed undergraduate studies at the Hebrew University of Jerusalem where he studied under faculty with interests spanning Israel's mathematical community. He pursued doctoral studies at the Massachusetts Institute of Technology (MIT), where he worked on problems at the intersection of algebraic geometry and representation theory under advisers affiliated with projects that connected to the Institute for Advanced Study. During his formative years he participated in seminars and programs associated with the Mathematical Sciences Research Institute and the Simons Foundation, interacting with scholars from institutions such as Harvard University, Princeton University, and Stanford University.

Academic career

Ben-Zvi held postdoctoral and visiting positions at major centers including the Institute for Advanced Study, the Massachusetts Institute of Technology, and research programs at the Centre national de la recherche scientifique. He joined the faculty of Tel Aviv University before taking appointments in the United States, including a professorship at the University of Chicago. His academic service has included organizing programs at the Banff International Research Station and speaking at conferences sponsored by the American Mathematical Society and the European Mathematical Society. He has advised doctoral students who proceeded to positions at institutions such as Columbia University, Yale University, and the University of California, Berkeley.

Research and contributions

Ben-Zvi's research integrates techniques from algebraic geometry, representation theory, category theory, and mathematical physics. A central strand of his work examines the geometric Langlands program and its relations to moduli of bundles, where he has explored connections with D-modules, Hitchin fibration, and the geometry of moduli space of G-bundles. He has developed conceptual frameworks using higher categorical methods influenced by developments at the Institute for Advanced Study and in collaborations with researchers from Princeton University and Harvard University.

Another major contribution addresses factorization structures, chiral algebras, and their relationships to two-dimensional conformal field theory and vertex algebras, linking to research traditions at Caltech and research groups affiliated with the Perimeter Institute for Theoretical Physics. Ben-Zvi has produced work on categorical representations, exploring equivalences between categories of sheaves, equivariant derived categories, and quantum group actions related to results emerging from University of Chicago and Yale University seminars.

His investigations also touch number-theoretic themes through geometric approaches to automorphic forms and trace formulas, interacting with ideas from the Langlands Program community and researchers at the Max Planck Institute for Mathematics. Collaborations include joint work with mathematicians known for contributions to geometric representation theory, categorical Langlands, and mirror symmetry, with interlocutors from Stanford University, Imperial College London, and ETH Zurich.

Ben-Zvi has been active in translating sophisticated categorical and geometric technology into tools usable by a broad mathematical audience, engaging communities centered at institutions like Columbia University and the University of Cambridge.

Selected publications

- Ben-Zvi, D.; Nadler, D. — paper developing categorical approaches to aspects of geometric representation theory, circulated and cited in series connected to the Annals of Mathematics and conferences at the Institute for Advanced Study. - Ben-Zvi, D.; Frenkel, E. — collaborative work on chiral algebras and connections to conformal field theory, presented at seminars at Harvard University and Princeton University. - Ben-Zvi, D.; Gunningham, S. — articles on quantization and categorical traces appearing in proceedings associated with the International Congress of Mathematicians-related symposia and workshops at the Mathematical Sciences Research Institute. - Monograph by Ben-Zvi and coauthors on geometric representation theory and moduli problems used in graduate courses at Massachusetts Institute of Technology and Tel Aviv University.

Awards and honors

Ben-Zvi's honors include invited lectures at major venues such as the International Congress of Mathematicians and named lectureships at the Institute for Advanced Study and the Mathematical Sciences Research Institute. He has received research grants and fellowships from organizations including the National Science Foundation, the European Research Council, and the Simons Foundation. His peers have recognized his influence through election to program committees for conferences organized by the American Mathematical Society and the European Mathematical Society.

Category:Israeli mathematicians Category:Algebraic geometers Category:Living people