Richard Thomas
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Pure mathematician at Imperial College London
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Richard Thomas mathematics Degrees
Mathematics
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Measure Theory
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, Richard Paul Winsley Thomas is a British mathematician working in several areas of geometry. He is a professor at Imperial College London. He studies moduli problems in algebraic geometry, and ‘mirror symmetry’—a phenomenon in pure mathematics predicted by string theory in theoretical physics.
Richard Thomas 's Published Works
Published Works
- Braid group actions on derived categories of coherent sheaves (2000) (654)
- Curve counting via stable pairs in the derived category (2007) (358)
- Stable pairs and BPS invariants (2007) (183)
- A study of the Hilbert-Mumford criterion for the stability of projective varieties (2004) (176)
- Special Lagrangians, stable bundles and mean curvature flow (2001) (164)
- An obstruction to the existence of constant scalar curvature K (2004) (158)
- Curves on K3 surfaces and modular forms (2010) (151)
- Hodge theory and derived categories of cubic fourfolds (2012) (146)
- Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes (2008) (137)
- Notes on GIT and symplectic reduction for bundles and varieties (2005) (119)
- Weighted Projective Embeddings, Stability of Orbifolds, and Constant Scarla Curvature Kär Metrics (2009) (104)
- Moment maps, monodromy and mirror manifolds (2001) (93)
- ℙ-objects and autoequivalences of derived categories (2005) (91)
- Symplectic Conifold Transitions (2002) (89)
- A short proof of the Göttsche conjecture (2010) (85)
- The 3-fold vertex via stable pairs (2007) (84)
- The Katz-Klemm-Vafa conjecture for K3 surfaces (2016) (67)
- Reduced classes and curve counting on surfaces I: theory (2011) (66)
- Stability conditions and the braid group (2002) (64)
- Vafa-Witten invariants for projective surfaces I: stable case (2017) (57)
- Hilbert schemes and stable pairs: GIT and derived category wall crossings (2009) (55)
- Vafa-Witten invariants for projective surfaces II: semistable case. (2017) (53)
- Algebraic Geometry: Salt Lake City 2015 (2018) (48)
- Gauge theory on Calabi-Yau manifolds (1997) (47)
- Virtual signed Euler characteristics (2014) (38)
- Equivariant K-Theory and Refined Vafa–Witten Invariants (2018) (36)
- Degeneracy loci, virtual cycles and nested Hilbert schemes, I (2017) (30)
- Mirror symmetry and actions of braid groups on derived categories (2000) (27)
- Symplectic surgeries from singularities (2002) (27)
- Reduced classes and curve counting on surfaces II: calculations (2011) (26)
- Counting sheaves on Calabi–Yau 4-folds, I (2020) (25)
- An obstructed bundle on a Calabi-Yau 3-fold (1999) (25)
- 13/2 ways to count curves (2011) (22)
- Nodes and the Hodge conjecture (2002) (20)
- Sheaf counting on local K3 surfaces (2018) (18)
- Weighted Bergman Kernels on Orbifolds (2009) (18)
- Notes on homological projective duality (2018) (15)
- Notes on HPD (2015) (14)
- Quintic threefolds and Fano elevenfolds (2014) (13)
- Counting curves on surfaces in Calabi–Yau 3-folds (2013) (13)
- Degeneracy loci, virtual cycles and nested Hilbert schemes II (2020) (13)
- An exercise in mirror symmetry (2011) (11)
- ALMOST CLOSED 1-FORMS (2012) (10)
- Stable pairs with descendents on local surfaces I: the vertical component (2016) (10)
- Derived equivalent Calabi–Yau threefolds from cubic fourfolds (2014) (10)
- The geometry of mirror symmetry (2005) (9)
- Curve counting and S-duality (2020) (8)
- Modern Geometry (2018) (8)
- Rank $r$ DT theory from rank $1$ (2021) (7)
- An Application of Wall-Crossing to Noether–Lefschetz Loci (2019) (7)
- A polar de Rham theorem (2003) (7)
- Erratum to: Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes (2014) (5)
- A K-theoretic Fulton class (2018) (5)
- Notes on the proof of the KKV conjecture (2014) (5)
- Smoothing nodal Calabi–Yau n‐folds (2008) (4)
- Separatedness of moduli of K-stable varieties (2013) (2)
- Moduli Spaces: Frontmatter (2014) (1)
- High Power X-Band GaAs Field Effect Transistors (1979) (1)
- Light and Electron Microscope Aspects of the Epithelium of the Small Intestine of the Snake, Typhlops pusilla (1978) (1)
- Derived equivalent Calabi–Yau threefolds from cubic fourfolds (2015) (0)
- Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects (2021) (0)
- Complex anti-self-dual instantons and Cayley submanifolds (2008) (0)
- Development and Turbomachinery Applications of a Laser Velocimeter System Based on Burst Triggered Photon Correlation (1992) (0)
- Development of a new charger system (1983) (0)
- Erratum to: Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes (2014) (0)
- Moduli Spaces: Preface (2014) (0)
- Oxygen Isotopic Microanalysis of Minerals in Thin Section Using the Ion Microprobe (1991) (0)
- Principal coordinate analysis (PCoA) plots of stool samples from PCOS patients and controls. (2017) (0)
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Richard Thomas is affiliated with the following schools: