Tony Pantev, University of Pennsylvania
Tony Pantev received his Ph.D. in 1994 from the University of Pennsylvania. He was a C.L.E. Moore Instructor at MIT, a Sloan Research Fellow, and has held visiting positions at the Isaac Newton Institute in Cambridge, England, the Centro de Investigación en Matemáticas in Guanajuato, Mexico, Ohio State University and the Institute for Advanced Studies in Princeton. He is a professor at the mathematics department of the University of Pennsylvania which he joined in 1997.
Pantev’s research interests include algebraic and differential geometry, Hodge theory, and mathematical physics. Together with Katzarkov, Toen, and Simpson he has obtained fundamental results in non-abelian Hodge theory, that led to the proof of the Shafarevich conjecture for varieties with linear fundamental groups. Together with Donagi he proved Langlands duality for Hitchin systems, a result that applies directly to mirror symmetry. Elaborating on this work, Pantev, jointly with Arinkin, and Block proved the existence of quantization for Fourier-Mukai transforms for general analytic manifolds. In a different direction, Pantev together with Katzarkov and Kontsevich developed the foundations of non-commutative geometry and non-commutative Hodge theory and studied the non-commutative aspects of the mirror correspondence. In an ongoing project with Toen, Vaquie, and Vezzosi, Pantev is exploring a major conceptual advance in derived geometry which was realized through the new notion of a shifted symplectic and Poisson structures.
Pantev has published over 50 peer-reviewed articles, one book, and has edited 3 proceedings volumes. He has supervised 14 PhD dissertations, 8 MSc students, and has mentored 6 postdocs. organized over 25 conferences, workshops, and schools on algebraic geometry, mirror symmetry, and mathematical physics. He serves on the editorial board of Advances in Mathematics, European Journal of Mathematics, and Research in Mathematical Sciences.