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方博汉
2023-05-05 16:03
  • 方博汉
  • 方博汉 - 副教授-北京大学-北京国际数学研究中心-个人资料

近期热点

资料介绍

个人简历


Education Ph.D. in Mathematics, Northwestern University, Evanston, IL, USA, 2010 Advisor: Professor Eric Zaslow Thesis: Mirror symmetry, constructible sheaves and toric varieties
B.S. in Mathematics, Peking University, Beijing, China, 2005
Affiliation Associate Professor (副教授/研究员), BICMR, Peking University, Beijing, China, 2015 –
Member, Institute for Advanced Study, Princeton, NJ, USA, 2017 Spring
Assistant Professor (助理教授/研究员), Peking University, Beijing, China, 2014 –
Ritt Assistant Professor, Columbia University, New York, NY, USA, 2010 – 2014
Grants & Honors NSFC 11890661 重大项目, Co-PI, 几何结构与拓扑不变量, 2019–2024
NSFC 11831017 重点项目, Co-PI, Gromov-Witten不变量理论, 2018–2023
Recruit Program for Global Young Experts (Thousand Young Talents/中组部青年千人计划), Principal Investigator, 2015 – 2018
NSF DMS-1206667, Principal Investigator, Open Mirror Symmetry for Toric Varieties, 2012 – 2015
Presidential Fellow, the Society of Fellows, Northwestern University, 2009 – 2011
Preprints Gamma II for toric varieties from integrals on T-dual branes and homological mirror symmetry, arXiv:1903.05300., with P. Zhou.
Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric DM stacks, arXiv:1212.6073, with C.-C. M. Liu and H.-H. Tseng.
Invited talks • New Perspectives in Gromov-Witten Theory, IMJ-PRG, Paris, France, Jun 2019 • Sun Yat-Sen University, Research seminar, Mar 2018 • AMS Sectional Meeting, Hawaii, USA, Mar 2019 • Modular structures in Gromov-Witten theory and related topics, University of Michigan, Jan 2019 • Mirror symmetry and related topics, Sanya Math Forum, Jan 2019 • Tsinghua University, Department colloquium, Dec 2018 • Sichuan University, Research seminar, Dec 2018 • Wall-crossing formula, open Gromov-Witten invariants and related areas, IBS/CGP, Nov 2018 • Geometry and Physics of Quantum Curves, Quantum curves, BIRS, Sep 2018 • Harvard University, Picture Language Seminar, Sep 2018 • Columbia University, Symplectic Geometry, Gauge Theory, and Categorification Seminar, Sep 2018 • AMS-CMS joint meeting, Shanghai, Jun 2018 • Silk Road Geometry Conference, G¨okova, Turkey, Jun 2018 • Integrable System and Application, Sun Yat-Sen University, Mar 2018 • Winter Young Algebraic Geometer Workshop, SUSTC, Dec 2017 • Quotients, Stability and Invariants, Sanya Math Forum, Dec 2017 • Winter School on Singularity and Mathematical Physics, KIAS, Dec 2017 • Gromov-Witten Invariants and Integral Hierarchies, USTC, Nov 2017 • Beijing Normal University, Colloquium, Nov 2017 • Sichuan University, East Asian Symplectic Geometry Conference, Oct 2017 • University of Michigan, Geometry & Physics Seminar, Oct 2017 • BICMR & IBS-CGP Joint Workshop, Sep 2017 • G¨okova Geometry & Topology Conference, May 2017 • Seminar, Captial Normal University, May 2017 • Columbia University, Enumerative Geometry Seminar, Mar 2017 • Northwestern University, Geometry/Physics Seminar, Mar 2017 • University of Michigan, Geometry & Physics Seminar, Mar 2017 • Columbia University, Symplectic Geometry, Gauge Theory, and Categorification Seminar, Feb 2017 • Kyoto University, Workshop on Mirror Symmetry and Related Topics, Dec 2016 • BICMR & IBS-CGP Joint Symplectic Geometry Workshop, Nov 2016 • Inner Mongolia University, CMS Annual Meeting, Sep 2016 • Sichuan University, Colloquium, Aug 2016 • AMS von Neumann Symposium: Topological Recursion and its Influence in Analysis, Geometry, and Topology, Jul 2016 • Nankai University, Chern Institute, Workshop on Global Mirror Symmetry, Jun 2016 • Sichuan University, 2016 International Conference on Gromov-Witten Theory, Jun 2016
• Harvard University, Workshop on SYZ Mirror Symmetry and Related Topics, May 2016 • Australian National University, Gromov-witten Theory, Gauge Theory and Dualities Conference, Jan 2016 • Tsinghua Sanya Mathematics Forum, String-Math 2015, Dec 2015 • Chinese University of Hong Kong, East Asian Symplectic Conference, Nov 2015 • Max Planck Institute, BICMR-HCM Workshop, Nov 2015 • Nanjing University, Differential Geometry Seminar, Oct 2015 • Sichuan University, Symplectic Geometry and Mathematical Physics Conference, Jun 2015 • Peking University, Beijing Geometry and Physics Colloquium, Mar 2015 • University of Michigan, Geometry & Physics Seminar, Nov 2014 • ICMAT, ICMAT-China Exploratory Workshop, Nov 2014 • Chinese University of Hong Kong, Institute of Mathematics, Workshop on Algebraic Geometry, Oct 2014 • Colorado State University, Summer School in Gromov-Witten Theory, Jun 2014 • Rutgers University, Geometry, Symmetry and Physics Seminar, Mar 2014 • Columbia University, Gromov-Witten Theory Seminar, Oct 2013 • The Hong Kong University of Science & Technology, Workshop on GromovWitten Theory and Quantization, Jul 2013 • Peking University and Beijing International Center for Mathematical Research, Young Mathematician Forum, Jun 2013 • University of Michigan, Geometry & Physics Seminar, May 2013 • Columbia University, Algebraic Geometry Seminar, Mar 2013 • Chinese University of Hong Kong, Institute of Mathematics, Conference on CalabiYau and G2 Geometry, Jul 2012 • Chinese Academy of Sciences, Monringside Center of Mathematics, Number Theory Seminar, Jun 2012 • University of Michigan, Geometry & Physics Seminar, Oct 2011 • Nankai University, Chern Insitute of Mathematics, Workshop on Recent Developments on Orbifolds, Jul 2011 • Chinese Academy of Sciences, Monringside Center of Mathematics, Number Theory Seminar, Jul 2011 • Institute of Advanced Studies, Workshop on Sheaf-Theoretic Methods in Symplectic Topology, May 2011 • Princeton University, Symplectic Geometry Seminar, Oct 2010 • University of Texas at Austin, Geometry Seminar, Oct 2010 • Ohio State University, Differential Geometry Seminar, Feb 2010 • National Seoul University, Minicourse, Dec 2009 • AMS/KMS Joint Meeting, Dec 2009 • Rutgers University, Geometry, Symmetry and Physics Seminar, Nov 2009 • Columiba University, Symplectic Geometry and Gauge Theory Seminar, Oct 2009 • Chinese Academy of Sciences, Mathematical Physics Seminar, Jun 2009
• Harvard University, Differential Geometry Seminar, Feb 2009
Teaching experience
Instructor at Peking Univeristy: • Topics in Topological Field Theory: Spring 2019 • Geometry II Honor: Spring 2018 • Topics in Modern Mathematical Physics II: Spring 2017 • Linear Algebra: Fall 2016, Fall 2017, Fall 2018 • Topics in Modern Mathematical Physics: Fall 2015 • Riemann Surfaces: Spring 2015 Instructor at Columbia Univeristy: • Ordinary Differential Equations MATH V3027: Fall 2013 • Ordinary Differential Equations MATH E1210: Spring 2011, Spring 2012, Spring 2013 • Calculus III MATH V1201: Fall 2010, Fall 2011, Fall 2012

研究领域


研究方向: Mathematical physics, algebraic and symplectic geometry"Research Area Algebraic and symplectic geometry. Mirror symmetry

近期论文


Publication Central charges of T-dual branes for toric varieties, Trans. Amer. Math. Soc., accepted, arXiv:1611.05153.
On the Remodeling Conjecture for Toric Calabi-Yau 3-orbifolds, J. Amer. Math. Soc., accepted, arXiv:1604.07123, with C.-C. M. Liu and Z. Zong.
All genus open-closed mirror symmetry for affine toric Calabi-Yau 3-orbifolds, Algebr. Geom., accepted, arXiv:1310.4818, with C.-C. M. Liu and Z. Zong.
Open Gromov-Witten theory of KP2,KP1×P1, KWP[1,1,2], KF1 and Jacobi forms, Comm. Math. Phys. 369 (2019), no. 2, 675–719, with Y. Ruan, Y. Zhang and J. Zhou.
Topological recursion for the conifold transition of a torus knot, Selecta Math.(N.S.) 25 (2019), no. 3, 25:35, with Z. Zong.
Eynard-Orantin B-model and its application in mirror symmetry, in B-model GromovWitten theory, 499–538, Trends in Mathematics, Birkh¨auser, Basel, 2018. ISBN: 9783-319-94220-9.
Graph sums in the remodeling conjecture, Topological Recursion and its Influence in Analysis, Geometry, and Topology, 2016 AMS von Neumann Symposium, 359–403, Proc. Symps. Pure Math., 100 Amer. Math. Soc., Providence, RI, 2018, with Z. Zong.
The Eynard-Orantin recursion and equivariant mirror symmetry for the projective line, Geom. Topol. 21 (2017), no. 4, 2049–2092, with C.-C. M. Liu and Z. Zong.
All genus mirror symmetry for toric Calabi-Yau 3-orbifolds, String-Math 2014, 1–19, Proc. Sympos. Pure Math., 93, Amer. Math. Soc., Providence, RI, 2016, with C.-C. M. Liu and Z. Zong.
The SYZ mirror symmetry and the BKMP remodeling conjecture, Adv. Theo. Math. Phys. 20, no. 1, 165–192, 2016, with C.-C. M. Liu and Z. Zong.
Equivariant Gromov-Witten theory of affine smooth toric Deligne-Mumford stacks, Int. Math. Res. Not. IMRN (2016), no. 7, 2127–2144, with C.-C. M. Liu and Z. Zong.
Coherent-constructible correspondence for toric orbifolds, Int. Math. Res. Not. IMRN (2014), no. 4, 914–954, with C.-C. M. Liu, D. Treumann and E. Zaslow.
Open Gromov-Witten invariants of toric Calabi-Yau 3-folds, Comm. Math. Phys. 323 (2013), no. 1, 285–328, with C.-C. M. Liu.
T-duality and homological mirror symmetry for toric varieties, Adv. Math. 229 (2012), no. 3, 1875–1911, with C.-C. M. Liu, D. Treumann and E. Zaslow.
A categorification of Morelli’s theorem, Invent. Math. 186 (2011), no. 1, 79–114, with C.-C. M. Liu, D. Treumann and E. Zaslow.
The coherent-constructible correspondence and Fourier-Mukai transforms, Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 2, 275–308, with C.-C. M. Liu, D. Treumann and E. Zaslow.
The coherent-constructible correspondence and homological mirror symmetry for toric varieties, Geometry and analysis. No. 2, 3–37, Adv. Lect. Math. (ALM), 18, Int. Press, Somerville, MA, 2011., with C.-C. M. Liu, D. Treumann and E. Zaslow.
Homological mirror symmetry is T-duality for Pn, Commun. Number Theory Phys. 2 (2008), no. 4, 719–742.
Some results on special stable vector bundles of rank 3 on algebraic curves, Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 3, 417–430, with Xiaojiang Tan, Weiyi Zhang.
Activity Organizer of Beijing Geometry and Physics Colloquium
Organizer of Symplectic Geometry & Physics Seminar at Peking University
Organizer of Gromov-Witten Theory Seminar at Columbia University
Member of the American Mathematical Society
Reviewer of AMS Math Review and Zentralblatt MATH
Student advisor to Math Major Class 2016 and Math Honors Class 2015 (Peking University)

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