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| Dmitry Gaitsgory | |
|---|---|
| Name | Dmitry Gaitsgory |
| Birth date | 1970s |
| Fields | Mathematics |
| Alma mater | Moscow State University; Harvard University |
| Workplaces | Columbia University; Yale University; Institute for Advanced Study |
| Doctoral advisor | Joseph Bernstein; David Kazhdan |
Dmitry Gaitsgory is a mathematician known for work in algebraic geometry, representation theory, and the geometric Langlands program. He has held faculty and visiting positions at institutions including Yale University, Columbia University, and the Institute for Advanced Study, and collaborated with researchers across Harvard University, Princeton University, and European centers such as the Université Paris-Saclay and the Max Planck Institute for Mathematics.
Born in the Soviet Union, he studied at Moscow State University where he encountered mentors in algebraic geometry and representation theory circles associated with figures like Igor Shafarevich and Sergei Novikov. He later moved to the United States for graduate study at Harvard University, receiving his Ph.D. under the supervision of advisors connected to Joseph Bernstein and David Kazhdan, and interacted with contemporaries at Princeton University and the IHES.
Gaitsgory held positions at Yale University and became a faculty member at Columbia University, participating in departmental collaborations with scholars from Stanford University, University of California, Berkeley, and University of Chicago. He served as a visiting scholar at the Institute for Advanced Study in Princeton University and maintained ties with European research hubs including the University of Cambridge, École Normale Supérieure, and the Max Planck Institute for Mathematics. His teaching and mentorship connected him with graduate programs at Harvard University, Princeton University, and the University of Oxford.
Gaitsgory's research focuses on aspects of the geometric Langlands program linking algebraic geometry and representation theory; his work interfaces with constructions of D-modules, categorical techniques from derived algebraic geometry, and concepts from motivic cohomology and categorical representation theory. He has developed tools related to sheaf-theoretic approaches found in the work of Alexander Beilinson, Vladimir Drinfeld, and Pierre Deligne, and contributed to the categorical reformulation influenced by Maxim Kontsevich and Jacob Lurie. Collaborations and conversations with researchers such as Edward Frenkel, Dennis Gaitsgory (note: different scholars in adjacent fields), Vladimir Drinfeld, Markushevich, and David Nadler helped shape advances in understanding automorphic sheaves, local geometric Langlands correspondences, and applications to number theory problems related to ideas from Robert Langlands and Andrew Wiles. His techniques employ homological methods reminiscent of Grothendieck's approaches and draw on foundations laid by Jean-Louis Verdier and Henri Cartan. Gaitsgory has also engaged with categorical aspects relevant to quantum field theory perspectives articulated by researchers at CERN and within the Perimeter Institute, reflecting interdisciplinary exchanges with mathematical physicists such as Edward Witten and Anton Kapustin.
Gaitsgory has been recognized by memberships and fellowships at institutions including the Institute for Advanced Study and research grants from organizations like the National Science Foundation and European research councils associated with Horizon 2020. He has been invited to lecture at venues such as the International Congress of Mathematicians, the Mathematical Sciences Research Institute, and the European Congress of Mathematics, and received invitations from universities including Harvard University, Yale University, and the University of Chicago.
- "Notes on Geometric Langlands" — expository and technical manuscripts circulated among seminars at Harvard University, Yale University, and the Institute for Advanced Study. - Papers on categorical approaches to D-modules and sheaf theory influenced by Beilinson and Drinfeld, presented at conferences organized by AMS and European Mathematical Society. - Collaborative works on local and global aspects of the geometric Langlands program with references to frameworks by Jacob Lurie, Maxim Kontsevich, and Edward Frenkel.
Category:Mathematicians Category:Algebraic geometers Category:Representation theorists