Donaldson, Simon

1. Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof
   2013/02/01 by Xiuxiong Chen, Simon Donaldson, Chen, Xiuxiong +3 · 23 citations
   Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions
2. Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities
   2012/11/19 by Xiuxiong Chen, Chen, Xiu-Xiong, Simon Donaldson +3 · 14 citations
   Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions
3. Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
   2012/12/19 by Chen, Xiuxiong, Donaldson, Simon, Sun, Song · 11 citations
   #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
4. Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry, II
   2015/07/17 by Donaldson, Simon, Sun, Song · 6 citations
   #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics
5. Kahler metrics with cone singularities along a divisor
   2011/02/06 by Simon Donaldson, Donaldson, Simon · 4 citations
   Mathematics · Physics and Astronomy · #32Q20 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
6. Gauge Theory in higher dimensions, II
   2009/02/18 by Simon Donaldson, Ed Segal, Donaldson, Simon +1 · 3 citations
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
7. Deformations of multivalued harmonic functions
   2019/12/17 by Donaldson, Simon · 3 citations
   #53C99 #Differential Geometry (math.DG) #FOS: Mathematics
8. Kahler-Einstein metrics and stability
   2012/10/28 by Chen, Xiu-Xiong, Donaldson, Simon, Sun, Song · 2 citations
   #53C55 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
9. Adiabatic limits of co-associative Kovalev-Lefschetz fibrations
   2016/03/28 by Donaldson, Simon · 2 citations
   #53C26 #Differential Geometry (math.DG) #FOS: Mathematics
10. Stability, birational transformations and the Kahler-Einstein problem
    2010/07/23 by Donaldson, Simon · 1 citation
    #53C55 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics
11. Algebraic families of constant scalar curvature Kähler metrics
    2015/03/17 by Donaldson, Simon · 1 citation
    #53C55 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics
12. An elliptic boundary value problem for G₂ structures
    2018/01/05 by Donaldson, Simon · 1 citation
    #53C26 #Differential Geometry (math.DG) #FOS: Mathematics
13. Associative submanifolds and gradient cycles
    2020/04/15 by Donaldson, Simon, Scaduto, Christopher · 1 citation
    #53C26 #Differential Geometry (math.DG) #FOS: Mathematics
14. Atiyah's work on holomorphic vector bundles and gauge theories
    2022/05/17 by Donaldson, Simon · 1 citation
    #%3C07 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics
15. Twistor construction of some multivalued harmonic functions on \bf R³
    2025/04/17 by Simon Donaldson, Donaldson, Simon · 2 citations
    Mathematics · #Nonlinear Partial Differential Equations #Analytic and geometric function theory #Holomorphic and Operator Theory