What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Mathematical analysis
- Geometry
Dominic Joyce mainly investigates Pure mathematics, Differential geometry, Holonomy, Mathematical analysis and Discrete mathematics.
All of his Pure mathematics and Riemannian geometry, Invariant, Cohomology, Symplectic manifold and Moduli space investigations are sub-components of the entire Pure mathematics study.
His Differential geometry research includes themes of Betti number and Dual, Algebra.
His study focuses on the intersection of Holonomy and fields such as Calabi conjecture with connections in the field of Mirror symmetry.
His work carried out in the field of Mathematical analysis brings together such families of science as Subgroup and Ricci-flat manifold.
His research in Discrete mathematics focuses on subjects like Abelian group, which are connected to Scheme and Coherent sheaf.
His most cited work include:
- Compact Manifolds with Special Holonomy (907 citations)
- Compact Riemannian 7-manifolds with holonomy $G\sb 2$. II (374 citations)
- A theory of generalized Donaldson–Thomas invariants (360 citations)
What are the main themes of his work throughout his whole career to date?
Dominic Joyce focuses on Pure mathematics, Moduli space, Mathematical analysis, Symplectic geometry and Differential geometry.
His Pure mathematics study incorporates themes from Gravitational singularity and Series.
His study in Moduli space is interdisciplinary in nature, drawing from both Discrete mathematics, Abelian group, Combinatorics, Calabi–Yau manifold and Coherent sheaf.
His study in the fields of Manifold, Riemannian geometry and Connected sum under the domain of Mathematical analysis overlaps with other disciplines such as Calibrated geometry.
His Symplectic geometry research integrates issues from Cohomology, Algebraic number, Topological space and Homology.
His Differential geometry research is multidisciplinary, relying on both Algebraic geometry and Topology.
He most often published in these fields:
- Pure mathematics (70.07%)
- Moduli space (29.93%)
- Mathematical analysis (27.89%)
What were the highlights of his more recent work (between 2014-2021)?
- Moduli space (29.93%)
- Pure mathematics (70.07%)
- Symplectic geometry (24.49%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Moduli space, Pure mathematics, Symplectic geometry, Combinatorics and Calabi–Yau manifold.
His Moduli space research incorporates themes from Transversality, Lie group, Coherent sheaf, Stack and Differential geometry.
His study connects Algebraic number and Pure mathematics.
The various areas that Dominic Joyce examines in his Symplectic geometry study include Discrete mathematics and Topological space.
His research on Combinatorics also deals with topics like
- Manifold and related Differential topology,
- Orientation which is related to area like Base.
His Mathematical analysis research is multidisciplinary, incorporating elements of Global analysis, Ricci-flat manifold and Hyperkähler manifold.
Between 2014 and 2021, his most popular works were:
- A ‘Darboux theorem’ for shifted symplectic structures on derived Artin stacks, with applications (63 citations)
- A classical model for derived critical loci (61 citations)
- Virtual fundamental classes for moduli spaces of sheaves on Calabi–Yau four-folds (48 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Mathematical analysis
- Geometry
His main research concerns Symplectic geometry, Pure mathematics, Calabi–Yau manifold, Moduli space and Combinatorics.
He has included themes like Coherent sheaf and Binomial in his Symplectic geometry study.
In most of his Pure mathematics studies, his work intersects topics such as Subgroup.
His research investigates the connection between Calabi–Yau manifold and topics such as Cohomology that intersect with problems in Symplectic manifold, Isotopy and Isomorphism class.
The Moduli space study combines topics in areas such as Monoid, Generalization, Boundary, Differential geometry and Differentiable function.
His Holonomy research is multidisciplinary, incorporating perspectives in Orbifold, Orientability, Gravitational singularity, Stack and Existence theorem.
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