Yongbin Ruan
Mathematician
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Mathematics
Yongbin Ruan's Degrees
- PhD Mathematics Princeton University
- Bachelors Mathematics Peking University
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(Suggest an Edit or Addition)According to Wikipedia, Yongbin Ruan is a Chinese mathematician, specializing in algebraic geometry, differential geometry, and symplectic geometry with applications to string theory. Ruan studied from 1978 at Sichuan University with Benke Certificate of graduation followed by a master's degree in 1985. In 1985/86 he was a teaching assistant at the University of Wisconsin–Madison. In 1991 he received his Ph.D. from the University of California, Berkeley with thesis Gauge theory and its applications to Riemannian Geometry under the supervision of Robion Kirby . As a postdoctoral researcher he was at Michigan State University. In 1993 he became an assistant professor at the University of Utah. At the University of Wisconsin–Madison he became in 1995 an associate professor and in 1999 a full professor. Since 2006 he is a professor at the University of Michigan.
Yongbin Ruan's Published Works
Published Works
- A mathematical theory of quantum cohomology (1994) (616)
- A New Cohomology Theory of Orbifold (2000) (488)
- Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds (1998) (405)
- Orbifold Gromov-Witten Theory (2001) (381)
- The Witten equation, mirror symmetry and quantum singularity theory (2007) (334)
- Orbifolds and Stringy Topology (2007) (324)
- Virtual neighborhoods and pseudo-holomorphic curves (1996) (215)
- Higher genus symplectic invariants and sigma models coupled with gravity (1996) (187)
- Topological sigma model and Donaldson-type invariants in Gromov theory (1996) (171)
- Twisted Orbifold K-Theory (2001) (143)
- Cohomology ring of crepant resolutions of orbifolds (2001) (135)
- The Witten equation and its virtual fundamental cycle (2007) (124)
- Landau–Ginzburg/Calabi–Yau correspondence for quintic three-folds via symplectic transformations (2008) (120)
- Stringy Geometry and Topology of Orbifolds (2000) (106)
- LG/CY correspondence: the state space isomorphism (2009) (105)
- Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence (2012) (101)
- Orbifolds and Stringy Topology: Index (2007) (99)
- Quantum Cohomology and Crepant Resolutions: A Conjecture (2007) (86)
- A Mathematical Theory of the Gauged Linear Sigma Model (2015) (83)
- Symplectic topology on algebraic 3-folds (1994) (83)
- Birational cobordism invariance of uniruled symplectic manifolds (2006) (69)
- Geometry and analysis of spin equations (2004) (58)
- BCFG Drinfeld–Sokolov hierarchies and FJRW-theory (2013) (52)
- Surgery, quantum cohomology and birational geometry (1998) (50)
- Symplectic topology and extremal rays (1993) (47)
- Bott-type symplectic Floer cohomology and its multiplication structures (1995) (45)
- Gromov-Witten theory of elliptic orbifold P^1 and quasi-modular forms (2011) (40)
- Orbifolds in Mathematics and Physics (2002) (40)
- Discrete Torsion and Twisted Orbifold Cohomology (2000) (38)
- Orbifold Quantum Cohomology (2000) (35)
- Witten’s D4 integrable hierarchies conjecture (2010) (29)
- Wall-Crossing in Genus Zero Landau-Ginzburg Theory (2014) (28)
- A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence (2013) (28)
- Quantum cohomology of projective bundles over P^n (1995) (26)
- The level structure in quantum K-theory and mock theta functions (2018) (26)
- Symplectic Birational Geometry (2009) (26)
- A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds (2017) (25)
- A Stringy Product on Twisted Orbifold K-theory ⁄ (2006) (25)
- Stringy orbifolds (2002) (24)
- Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds. (2018) (24)
- SYMPLECTIC TOPOLOGY AND COMPLEX SURFACES (1994) (21)
- Quantum cohomology of projective bundles over $\mathbb P^n$ (1998) (20)
- Higher-genus quasimap wall-crossing via localization (2017) (19)
- Gerbes and twisted orbifold quantum cohomology (2005) (17)
- Mirror Symmetry Constructions (2014) (15)
- Torsion classes and a universal constraint on Donaldson invariants for odd manifolds (1995) (15)
- Seiberg-Witten invariants and double covers of 4-manifolds (2000) (14)
- Uniruled Symplectic Divisors (2007) (14)
- Seiberg-Witten invariants and double covers of 4-manifolds (2000) (14)
- Higher-genus wall-crossing in the gauged linear sigma model (2017) (14)
- Gromov-Witten theory and cycle-valued modular forms (2012) (13)
- Positive divisors in symplectic geometry (2008) (12)
- QUANTUM COHOMOLOGY OF PROJECTIVE BUNDLES OVER P (1998) (12)
- Enumeration of nodal genus-2 plane curves with fixed complex structure (1998) (10)
- The logarithmic gauged linear sigma model (2019) (10)
- Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties (2016) (9)
- A Mirror Theorem for the Mirror Quintic (2013) (9)
- The moduli space of regular stable maps (2008) (8)
- Quantum Singularity Theory for A_{r-1} and r-Spin Theory (2010) (7)
- Towards a Theory of Logarithmic GLSM Moduli Spaces. (2018) (7)
- Quantum K-theory of toric varieties, level structures, and 3d mirror symmetry (2020) (5)
- Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence (2013) (5)
- Nonabelian gauged linear sigma model (2017) (5)
- Jacobi Forms (2019) (5)
- The moduli space in the gauged linear sigma model (2016) (5)
- A universal constraint for Donaldson invariants (1992) (4)
- Orbifolds in mathematics and physics : proceedings of a Conference on Mathematical Aspects of Orbifold String Theory, May 4-8, 2001, University of Wisconsin, Madison, Wisconsin (2002) (4)
- Composition law and Nodal genus-2 curves in P^2 (1996) (4)
- Punctured logarithmic R-maps (2022) (3)
- Open Gromov–Witten Theory of $$K_{{\mathbb {P}}^2}, K_{{{\mathbb {P}}^1}\times {{\mathbb {P}}^1}}, K_{W{\mathbb {P}}\left[ 1,1,2\right] }, K_{{{\mathbb {F}}}_1}$$KP2,KP1×P1,KWP1,1,2,KF1 and Jacobi Forms (2018) (3)
- The analysis on the single particle model of CDW (2007) (1)
- Orbifolds and Stringy Topology: Orbifold K-theory (2007) (1)
- Castelnuovo bound and higher genus Gromov-Witten invariants of quintic 3-folds (2022) (1)
- Riemann surfaces, integrable hierarchies, and singularity theory (2009) (1)
- Verlinde/Grassmannian Correspondence and Rank 2 $$\delta$$-Wall-Crossing (2018) (1)
- Genus Two Quasi--Siegel Modular Forms and Gromov--Witten Theory of Toric Calabi-Yau Threefolds (2019) (1)
- Orbifolds and Stringy Topology: Chen–Ruan cohomology (2007) (0)
- BCFG Drinfeld–Sokolov hierarchies and FJRW-theory (2014) (0)
- Positive divisors in symplectic geometry (2012) (0)
- Genus Two Siegel Quasi-Modular Forms and Gromov–Witten Theory of Toric Calabi–Yau Threefolds (2019) (0)
- Preface of the Special Issue for Banghe Li’s 80th Anniversary (2022) (0)
- Drinfeld-Sokolov Hierarchies and FJRW-Theory (2018) (0)
- 2 9 A ug 2 00 1 Cohomology Ring of Crepant Resolutions of Orbifolds (2008) (0)
- The moduli space in the gauged linear sigma model (2017) (0)
- Gromov-Witten Invariants and Quantum Cohomology (2002) (0)
- QUANTUM COHOMOLOGY AND CREPANT RESOLUTIONS : A CONJECTURE by Tom COATES & (2013) (0)
- ORBIFOLD SINGULARITIES OF HITCHIN FIBRES: THE CASE (SL n , PGL n ) (2022) (0)
- Uniruled Symplectic Divisors (2013) (0)
- QUANTUM COHOMOLOGYOF PROJECTIVE BUNDLES OVER (1996) (0)
- Cohomology, bundles and morphisms (2007) (0)
- Mirror of Orbifold Singularities in the Hitchin Fibration: the case $(\text{SL}_n,\text{PGL}_n)$ (2022) (0)
- Orbifolds and Stringy Topology: Introduction (2007) (0)
- Orbifolds and Stringy Topology: References (2007) (0)
- Nonabelian gauged linear sigma model (2017) (0)
- Witten’s D4 integrable hierarchies conjecture (2016) (0)
- Compactness of A r-spin equations (2004) (0)
- Stringy geometry and topology of orbifolds1 (2000) (0)
- Verlinde/Grassmannian Correspondence and Rank 2 δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document (2022) (0)
- Stringy Orbifolds 1 (2002) (0)
- DISCRETE TORSION AND TWISTED (2004) (0)
- Orbifolds and Stringy Topology: Calculating Chen–Ruan cohomology (2007) (0)
- Mirror symmetry for special nilpotent orbit closures (2022) (0)
- Orbifold Quantum Cohomology1 (2000) (0)
- Towards logarithmic GLSM : the r–spin case (2022) (0)
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