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Lee, Yuan-Pin

Lee, Yuan-Pin

Distinguished Research Fellow and Director

Research Fields: Algebraic Geometry, Mathematical Physics,


Email : ypleemath@gate.sinica.edu.tw

Extension : 736

Personal Website

My current research interests are in the general areas of algebraic geometry and mathematical physics. More specifically I am working on Gromov–Witten theory and its relations with and applications to birational geometry, Hodge theory, K-theory, symplectic topology, integrable systems, representation theory, and mirror symmetry.

  • Ph.D. University of California at Berkeley 1994/8 - 1999/5

  • Distinguished Research Fellow and Director Institute of Mathematics, Academia Sinica 2020 -
  • Professor of Mathematics University of Utah 2011 -
  • Associate Professor of Mathematics University of Utah 2006 - 2011
  • Assistant Professor of Mathematics University of Utah 2002/8 - 2006/6
  • Visiting Research Mathematician Princeton University 2002-3
  • Junior Fellow IPAM 2001 Fall
  • Hedrick Assistant Professor UCLA 1999 - 2002

  • 2018, 2018 ICCM best paper award (for Pub. (29))
  • 2017, 2017 ICCM disntinguished paper award (for Pub. (25))
  • 2015 ~ 2019, NSF grant DMS-1500601
  • 2012 ~ 2017, NSF grant DMS-1162590
  • 2009 ~2013, NSF grant DMS-0901098
  • 2007, NSF grant PHY-0652421
  • 2006 ~ 2010, NSF grant DMS-0600688
  • 2005 ~2007, AMS Centennial Research Fellowship
  • 2003 ~2006, NSF grant DMS-0305895
  • 2000 ~ 2003, NSF grant DMS-0072547

  • (with You-Cheng Chou, Leo Herr and Y.-P. Lee) "Higher genus quantum K-theory,", Pacific Journal of Mathematics, 2024
  • (with You-Cheng Chou and Y.-P. Lee) "Gopakumar-Vafa Invariants = Quantum K-invariants on Calabi-Yau threefolds", Bumsig Kim Memorial Volume, 2024
  • (with You-Cheng Chou, Leo Herr and Y.-P. Lee) "The log product formula in quantum K-theory", Mathematical Proceedings of the Cambridge Philosophical Society, 2023
  • (with You-Cheng Chou and Y.-P. Lee) "Virasoro constraints for moduli of weighted pointed stable curves", Journal of the London Mathematical Society, 2022-12 , Link
  • (with Y.-P. Lee, Hui-Wen Lin and Chin-Lung Wang) "Quantum flips I: Local model. ", Proceedings of Symposia in Pure Mathematics, 103, 303-352, 2021
  • (with H. Fan and Y.-P. Lee) "Variations on the theme of quantum Lefschetz", AMS Contemporary Mathematics, 763, 171-181, 2021, Link
  • (with H. Fan and Y.-P. Lee) "On Gromov-Witten theory of projective bundles", Michigan Mathematical Journal, 2020
  • (with H. Fan and Y.-P. Lee) "Towards a quantum Lefschetz hyperplane theorem in all genera", Geometry & Topology, 23 (1), 493-512, 2019
  • (with H.-W. Lin, C.-L. Wang) "Towards A + B theory in conifold transitions", Journal of Differential Geometry, 110 (3), 495-541, 2018
  • (with Y.-P. Lee and F. Qu) "A product formula for log Gromov–Witten invariants", Journal of the Mathematical Society of Japan, 70 (1), 229-242, 2018
  • (with Y.-P. Lee, Hui-Wen Lin and Chin-Lung Wang) "Quantum Cohomology under Birational Maps and Transitions", String-Math 2015, 149-168, 2017
  • (with Y.-P. Lee, N. Priddis and M. Shoemaker) "A proof of the Landau-Ginzburg/Calabi-Yau correspondence via the crepant transformation conjecture", Annales Scientifiques de l’Ecole Normale Superieure (4), 49 (6), 1403-1443, 2016
  • (with Y.-P. Lee, H.-W. Lin, F. Qu and C.-L. Wang) "Invariance of quantum rings under ordinary flops III: A quantum splitting principle", Cambridge Journal of Mathematics, 4 (3), 333-401, 2016
  • (with Y.-P. Lee, Hui-Wen Lin and Chin-Lung Wang) "Invariance of quantum rings under ordinary flops II: A quantum Leray–Hirsch theorem", Algebraic geometry, 3 (5), 615-653, 2016
  • (with Y.-P. Lee, Hui-Wen Lin and Chin-Lung Wang) "Invariance of quantum rings under ordinary flops I: Quantum corrections and reduction to local models", Algebraic geometry, 3 (5), 578-614, 2016
  • (with Y.-P. Lee and M. Shoemaker) "A Mirror Theorem for the Mirror Quintic", Geometry & Topology, 18 (3), 1437-1483, 2014
  • (with Y.-P. Lee and F. Qu) "Orbifold Euler characteristics of universal cotangent line bundles on $\bar{M}_{1,n}$", Proceedings of the American Mathematical Society, 142 (2), 429-440, 2014
  • (with Y.-P. Lee) "Introduction to Gromov–Witten theory and crepant transformation conjecture", Proceedings of Summer School at Institut Fourier, 2012
  • (with Y.-P. Lee and R. Pandharipande) "Algebraic cobordism of bundles on varieties", Journal of the European Mathematical Society, 14 (4), 1081-1101, 2012
  • (with Y.-P. Lee, Hui-Wen Lin and Chin-Lung Wang) "Analytic continuations of quantum cohomology", proceedings ICCM 2010, AMS/IP Studies in Advanced Mathematics, 51, 2012
  • (with Y. Iwao, Y.-P. Lee, H.-W. Lin and C.-L. Wang) "Invariance of Gromov–Witten theory under a simple flop", Journal für die reine und angewandte Mathematik, 663, 67-90, 2012
  • (with Y.-P. Lee, Hui-Wen Lin and Chin-Lung Wang) "Flops, motives and invariance of quantum rings", Annals of Mathematics, 172 (1), 243-290, 2010
  • (with D. Arcara and Y.-P. Lee) "Tautological equation in $\bar{M}_{3,1}$ via invariance conjectures", Canadian Mathematical Bulletin, 52 (2), 161-174, 2009
  • (with T. Coates, A. Corti, Y.-P. Lee and H.-H. Tseng) "The quantum orbifold cohomology of weighted projective space", Acta Mathematica, 202 (2), 139-193, 2009
  • (with Y.-P. Lee) "Invariance of tautological equations II: Gromov–Witten theory", Journal of the American Mathematical Society, 22 (2), 331-352, 2009
  • (with Y.-P. Lee and R. Vakil) "Algebraic structures on the topology of moduli spaces of curves and maps", Surveys in Differential Geometry, 14, 2009
  • (with D. Arcara and Y.-P. Lee) "On independence of generators of the tautological rings", Compositio Mathematica, 144 (6), 1497-1503, 2008
  • (with Y.-P. Lee) "Invariance of tautological equations I: conjectures and applications", Journal of the European Mathematical Society, 10 (2), 399-413, 2008
  • (with D. Arcara) "Tautological equations in genus 2 via invariance conjectures", Bulletin of the Institute of Mathematics Academia Sinica, 2 (1), 1-27, 2007
  • (with Y.-P. Lee) "Witten’s conjecture and Virasoro conjecture up to genus two", Communications in Contemporary Mathematics, 403, 31-42, 2006
  • (with Y.-P. Lee) "Notes on axiomatic Gromov–Witten theory and applications", Algebraic geometry - Seattle 2005, 1, 309-323, 2005
  • (with Y.-P. Lee and R. Pandharipande) "A reconstruction theorem in quantum cohomology and quantum K-theory", American Journal of Mathematics, 126 (6), 1367-1379, 2004
  • (with Y.-P. Lee) "Quantum K-Theory I: Foundations", Duke Mathematical Journal, 121 (3), 389-424, 2004
  • (with A. Givental and Y.-P. Lee) "Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups", Inventiones Mathematicae, 151, 193-219, 2003
  • (with D. Cox, S. Katz and Y.-P. Lee) "Virtual fundamental classes of zero loci", Communications in Contemporary Mathematics, 276, 157-166, 2001
  • (with Y.-P. Lee) "Quantum Lefschetz hyperplane theorem", Inventiones Mathematicae, 145 (1), 121-149, 2001
  • (with Y.-P. Lee) "A formula for Euler characteristics of tautological line bundles on the Deligne-Mumford spaces", International Mathematics Research Notices, 1997
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