What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Pure mathematics
Shing-Tung Yau mainly investigates Mathematical analysis, Pure mathematics, Scalar curvature, Mathematical physics and Topology. Shing-Tung Yau combines topics linked to Ricci curvature with his work on Mathematical analysis. The Pure mathematics study combines topics in areas such as Conformal map, Upper and lower bounds and Minkowski space.
His research investigates the connection with Scalar curvature and areas like Riemann curvature tensor which intersect with concerns in Curvature of Riemannian manifolds. His Mathematical physics research incorporates themes from Monge–Ampère equation and Spacetime. His studies deal with areas such as Topological string theory, String field theory, Genus and Non-critical string theory as well as Topology.
His most cited work include:
- On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I* (2262 citations)
- Mirror symmetry is T duality (1331 citations)
- Mathematics and its applications (1307 citations)
What are the main themes of his work throughout his whole career to date?
Pure mathematics, Mathematical analysis, Mathematical physics, Mirror symmetry and Geometry are his primary areas of study. His Pure mathematics study frequently draws connections between adjacent fields such as Algebra. In his research on the topic of Mathematical analysis, Riemann curvature tensor is strongly related with Scalar curvature.
Minkowski space is the focus of his Mathematical physics research. Specifically, his work in Curvature is concerned with the study of Sectional curvature. His work in Conformal map is not limited to one particular discipline; it also encompasses Surface.
He most often published in these fields:
- Pure mathematics (34.85%)
- Mathematical analysis (21.60%)
- Mathematical physics (13.52%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (34.85%)
- Mathematical physics (13.52%)
- Spacetime (4.08%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Pure mathematics, Mathematical physics, Spacetime, Theoretical physics and Combinatorics. His research is interdisciplinary, bridging the disciplines of Curvature and Pure mathematics. His Mathematical physics study combines topics in areas such as Angular momentum, Singularity, Limit, Infinity and Null.
His study in Spacetime is interdisciplinary in nature, drawing from both Quantum, Schwarzschild radius, Minkowski space and Quantum field theory. He usually deals with Theoretical physics and limits it to topics linked to Gauge theory and Duality and Topology. Shing-Tung Yau combines subjects such as Manifold and Boundary with his study of Mirror symmetry.
Between 2015 and 2021, his most popular works were:
- Evolutionary dynamics on any population structure (201 citations)
- Positive Scalar Curvature and Minimal Hypersurface Singularities (100 citations)
- Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions (82 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Pure mathematics
His main research concerns Pure mathematics, Mathematical physics, Theoretical physics, Mathematical analysis and Coulomb. His Pure mathematics study frequently draws connections to other fields, such as Curvature. His work on General relativity as part of general Mathematical physics research is frequently linked to Algebraic stability, bridging the gap between disciplines.
His Theoretical physics research incorporates elements of Quantum field theory in curved spacetime, Quantum statistical mechanics and Quiver. His research in Mathematical analysis intersects with topics in Gaussian, Volume and Minkowski problem. Shing-Tung Yau focuses mostly in the field of String, narrowing it down to matters related to Partition function and, in some cases, Mirror symmetry and Topology.
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