何南國 - 台湾清华大学

个人简介

學歷加拿大多倫多大學,數學系,博士 1998/09 ~ 2003/07 國立台灣大學,數學系,碩士 1996/09 ~ 1999/01 國立台灣大學,數學系,學士 1992/09 ~ 1996/06 經歷國立清華大學,數學系,教授, 20011/8- 國立清華大學,數學系,副教授, 2009/8-2011/7 國立成功大學,數學系,副教授, 2007/8-2009/7 國立成功大學,數學系,助理教授, 2003/8-2007 Fields Institute, Canada, NSERC PDF, August 2004 - July 2006. Academic Profile •Curriculum Vitae •Publication List •Research Statement •Media files: teaching, research. Teaching • 2020 Fall. Introduction to Symplectic Geometry. 2021 Spring. • 2019 Fall: Geometry I (Curves and Surfaces). 2020 Spring: Geometry II (Curves and Surfaces), Calculus I. • 2018 Fall: Calculus I, Topics in Symplectic Geometry. 2019 Spring: Calculus II. • 2017 Fall: Differential Geometry I. 2018 Spring: Differential Geometry II, Introduction to Symplectic Geometry • 2016 Fall: Differential Geometry I. 2017 Spring: Sabbatical leave • 2015 Fall: Differential Geometry I. 2016 Spring: Differential Geometry II, Introduction to Moduli spaces • 2014 Fall: Geometry I (Curves and Surfaces). 2015 Spring: Geometry II (Curves and Surfaces), Calculus II • 2013 Fall: Calculus I, Modern Geometry (i.e. Differential Manifold). 2014 Spring: Calculus II. • 2012 Fall: Calculus II, Topics in Geometry. 2013 Spring: On leave • 2011 Fall: Calculus I. 2012 Spring: Calculus II, Modern Geometry (i.e. Differential Manifold). • 2010 Fall: Calculus I, Introduction to Symplectic Geometry. 2011 Spring: Mathematical and Scientific thinking. • 2009 Fall: Calculus I, Geometry I (Curves and Surfaces). • 2008 Fall: Calculus I, Differential Geometry. 2009 Spring: Calculus II. • 2007 Fall: Calculus I. 2008 Spring: Calculus II. • 2006 Fall: Calculus I, Geometry (Curves and Surfaces). 2007 Spring: Calculus II, Topology. • 2003 Fall: Calculus I, Differential Geometry. 2004 Spring: Calculus II, Riemannian Geometry .

研究领域

•Meromorphic connections, tt*-Toda equations •Surface group representations •Moduli spaces of principal G-bundles on surfaces •Differential geometry, Symplectic geometry

近期论文

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Seminars and Conferences • Taiwan Geometry Symposium: Nov. 20, 2010 ; May 14, 2011 ; Sep. 24, 2011; May 19, 2012; Oct. 27, 2012; May 11, 2013; Nov. 2, 2013; May 24, 2014; Nov 1, 2014; May 2, 2015; October 24-25, 2015; May 14, 2016; October 28, 2016; April 15, 2017; November 18, 2017; March 24, 2018; November 10, 2018; May 18, 2019; November 16, 2019; October 24-25, 2020. • The Second Japan Taiwan Joint Conference on Differential Geometry (Nov 1-5, 2019) • The First Japan Taiwan Joint Conference on Differential Geometry & 7th TIMS-OCAMI-WASEDA Joint International Workshop on Differential Geometry and Geometric Analysis (Dec 13-17, 2016) • NCTS Autumn day on algebraic and geometric structure in QFT (Nov 19, 2017). • NCTS & NTHU Joint Geometry and Topology Seminar • 2015 NCTS Conference on Geometry, Topology and Physics • Japan-Taiwan workshop on Moduli spaces of flat connections on surfaces and related topics, November 2014, Waseda University, Japan • 2013 NCTS Interdisciplinary Workshop between Mathematics and Theoretical Physics: Geometry and Symmetry in Mathematics and Fundamental Physics • 2011 NCTS-CPT Joint Workshop on Symplectic Geometry and Quantum Symmetries in Mathematical Physics • East Asian Symplectic Conference 2019; East Asian Symplectic Conference 2009 Publications and Preprints 1.(Joint with Lisa Jeffrey, Paul Selick, Eugene Xia) , Flat connections and the commutator map for SU(2). Submitted. 2.(Joint with Martin Guest) Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations, Selecta Mathematica (N.S.) 25 (2019 Aug.), no. 3, Art. 50, 43 pp. 3.(Joint with Graeme Wilkin, Siye Wu) Conditions of smoothness of moduli spaces of flat connections and of representation varieties, Mathematische Zeitschrift 293(1) (2019), 1-23. 4.(Joint with Lisa Jeffrey, Khoa Dang Nguyen, Eugene Xia) The SU(2)-character variety of the closed surface of genus 2, Geometriae Dedicata 192 (2018), 171-187. 5.(Joint with Graeme Wilkin, Siye Wu) Hitchin's Equations on a Nonorientable Manifold, arXiv:1211.0746v3. Comm. Anal. Geom. 26 (2018), no.4, 857-886. 6.(Joint with Martin Guest) A Lie-theoretic description of the solution space of the tt*-Toda equations, Mathematical Physics, Analysis and Geometry Volume 20 (2017 Dec.), Issue 4, Art. 24, 27 pp. 7.(Joint with C.-C. Melissa Liu) Connected Components of Surface Group Representations for Complex reductive Lie groups, an appendix in Covering Spaces of Character Varieties by S. Lawton and D. Ramras, New York Journal of Mathematics 21 (2015), 383-416. 8.(Joint with Lisa Jeffrey) Intersection Cohomology of the Universal Imploded Cross-section of SU(3), Pure and Applied Mathematics Quarterly 10 (2014), no. 4, 675-683. 9.(Joint with C.-C. Melissa Liu) Anti-perfect Morse Stratification , Selecta Mathematica (N.S.) 17 (2011), no.2 , 505-532. 10.(Joint with C.-C. Melissa Liu, Daniel Ramras) Orientability in Yang-Mills Theory Over Nonorientable Surfaces, Comm. Anal. Geom. 17 (2009), no.5, 903-953. 11.(Joint with C.-C. Melissa Liu) Yang-Mills Connections on Orientable and Nonorientable Surfaces , Memoirs of the AMS. 202 (2009), no.948, 1-98. 12.(Joint with C.-C. Melissa Liu) Yang-Mills Connections on Nonorientable Surfaces , Comm. Anal. Geom. 16 (2008), no.3, 617-679. 13. On the Moduli Space of Flat Connections over a Compact Surface, Proceeding of the 4th International Congress of Chinese Mathematicians, Vol II (2007), 339-349. 14.(Joint with Lisa Jeffrey) The Volume of the Moduli Space of Flat Connections on a Nonorientable 2-manifold, Comm. Math. Phy. 256 (2005), 539-564. 15.(Joint with C.-C. Melissa Liu) On the Connectedness of the Spaces of Surface Group Representations. Noncommutative Geometry and Physics, World Sci. Publ. Hackensack, NJ (2005), 199-214. 16.(Joint with C.-C. Melissa Liu) Connected Components of the Space of Surface Group Representations II, Inter. Math. Res. Notices 16 (2005), 959-979. 17.(Joint with Lisa Jeffrey) Representations of Fundamental Groups of Nonorientable 2-manifolds, CRM Proceedings and Lecture Notes, Algebraic structures and Moduli spaces, 38 (2004), 139-147. 18.The Real Locus of an Involution Map on the Moduli Space of Flat Connections on a Riemann Surface, Inter. Math. Res. Notices 61 (2004), 3263-3285. 19.(Joint with C.-C. Melissa Liu) On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces, Canad. J. Math 56(6) (2004), 1228-1236. 20.(Joint with C.-C. Melissa Liu) Connected Components of The Space of Surface Group Representations, Inter. Math. Res. Notices 44 (2003), 2359-2372. 21.(Joint with N.-C Wong) Space-filling curves and Hausdorff dimensions, Southeast Asian Bulletin of Mathematics 21 (1997)