Faculty

Institution

Unit

Venue

Xianzhe Dai

Professor

University of California, Santa Barbara

Affiliations

College of Letters & Science

Mathematics

Xianzhe Dai is currently serving as a College Of Letters & Science Professor at University of California, Santa Barbara.

Honors

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Experiences

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Education

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Xianzhe Dai

University of California, Santa Barbara

Professor

You can click a keyword to filter the displayed items

applied mathematics mathematics mathematical physics geometry and topology differential geometry mathematical analysis analytic number theory graph theory number theory spectral theory materials science eta invariants positive mass theorem statistics stability functional analysis mathematical optimization mathematical sciences geometric topology riemannian geometry theoretical analysis determinant lines asymptotic susy compactification ricci curvature convex domains analytic torsion theoretical physics nonlinear analysis boundary value problems entropy electronic materials riemannian manifold ricci flow linkage analysis stochastic geometry manifold modeling manifold learning topological invariants large scale structure global analysis geometrical accuracy parallel spinors riemannian metrics ricci curvature bounds family index variational stability kahler-einstein metrics index theorem odd-dimensional manifolds toeplitz operators rational mechanic geometric analysis

Notable Scholarly Works

Notable Federal Grants

Collaborators

Excitonic Instability in Ta2pd3te5. arXiv (Cornell University) (2024)

Yao, JingyuSheng, HaohaoZhang, RuihanWu, QuanshengWeng, HongmingDai, XiFang, ZhongWang, Zhijun

thin filmsmaterials scienceelectronic materialsatomic physicsparticle physicscondensed matter physicsexcitonic instabilityapplied physics

Perelman’s Functionals on Manifolds With Non-Isolated Conical Singularities. Calculus of Variations and Partial Differential Equations (2024)

Xianzhe DaiChangliang Wang

particle physicstopologymathematicsnon-isolated conical singularities

Positive Scalar Curvature and Isolated Conical Singularity. arXiv (Cornell University) (2024)

Dai, XianzheSun, YukaiWang, Changliang

isolated conical singularityapplied physicspositive scalar curvaturecondensed matter physics

The Positive Mass Theorem for Asymptotically Flat Manifolds With Isolated Conical Singularities. Science China Mathematics (2024)

Xianzhe DaiYukai SunChangliang Wang

flat manifoldsdifferential geometryisolated conical singularitiesgeometry and topologypositive mass theoremapplied mathematicsmathematics

Volume Entropy and Rigidity for Rcd-Spaces. arXiv (Cornell University) (2024)

Connell, ChrisDai, XianzheNúñez-Zimbrón, JesúsPerales, RaquelSuárez-Serrato, PabloWei, Guofang

volume entropygeometrical accuracydifferential geometrynumerical analysiscomputational geometryentropygeometry and topologystochastic processapplied mathematicscomputer sciencemathematics

Compacitification and Positive Mass Theorem for Fibered Euclidean End. Journal of Geometric Analysis (2023)

Xianzhe DaiYukai Sun

geometric analysispositive mass theoremfibered euclidean endapplied mathematics

Singular Weyl’s Law With Ricci Curvature Bounded Below. Transactions of the American Mathematical Society Series B (2023)

Xianzhe DaiShouhei HondaJiayin PanGuofang Wei

differential geometrymathematical analysismathematical sciencesanalytic number theoryricci curvaturecomplex analysisapplied mathematicsmathematicsgeometric topology

Analytic Torsion for Log-Enriques Surfaces and Borcherds Product. Forum of Mathematics Sigma (2022)

Xianzhe DaiKen-Ichi Yoshikawa

mathematical analysislog-enriques surfacesborcherds productapplied mathematicsanalytic torsion

Asymptotic Spectral Flow. arXiv (Cornell University) (2022)

Dai, XianzheLi, Yihan

asymptotic spectral flowmathematical physicsspectral theoryapplied mathematicsmathematics

Witten Deformation on Non-Compact Manifolds: Heat Kernel Expansion and Local Index Theorem. Mathematische Zeitschrift (2022)

Xianzhe DaiJunrong Yan

witten deformationheat kernel expansiongraph theorylocal index theoremmathematical physicsnon-compact manifoldsmathematics

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Xianzhe Dai

Professor

University of California, Santa Barbara

Affiliations

College of Letters & Science

Mathematics

Xianzhe Dai is currently serving as a College Of Letters & Science Professor at University of California, Santa Barbara.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Xianzhe Dai

University of California, Santa Barbara

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Excitonic Instability in Ta2pd3te5. arXiv (Cornell University) (2024)

Yao, JingyuSheng, HaohaoZhang, RuihanWu, QuanshengWeng, HongmingDai, XiFang, ZhongWang, Zhijun

thin filmsmaterials scienceelectronic materialsatomic physicsparticle physicscondensed matter physicsexcitonic instabilityapplied physics

Perelman’s Functionals on Manifolds With Non-Isolated Conical Singularities. Calculus of Variations and Partial Differential Equations (2024)

Xianzhe DaiChangliang Wang

particle physicstopologymathematicsnon-isolated conical singularities

Positive Scalar Curvature and Isolated Conical Singularity. arXiv (Cornell University) (2024)

Dai, XianzheSun, YukaiWang, Changliang

isolated conical singularityapplied physicspositive scalar curvaturecondensed matter physics

The Positive Mass Theorem for Asymptotically Flat Manifolds With Isolated Conical Singularities. Science China Mathematics (2024)

Xianzhe DaiYukai SunChangliang Wang

flat manifoldsdifferential geometryisolated conical singularitiesgeometry and topologypositive mass theoremapplied mathematicsmathematics

Volume Entropy and Rigidity for Rcd-Spaces. arXiv (Cornell University) (2024)

Connell, ChrisDai, XianzheNúñez-Zimbrón, JesúsPerales, RaquelSuárez-Serrato, PabloWei, Guofang

volume entropygeometrical accuracydifferential geometrynumerical analysiscomputational geometryentropygeometry and topologystochastic processapplied mathematicscomputer sciencemathematics

Compacitification and Positive Mass Theorem for Fibered Euclidean End. Journal of Geometric Analysis (2023)

Xianzhe DaiYukai Sun

geometric analysispositive mass theoremfibered euclidean endapplied mathematics

Singular Weyl’s Law With Ricci Curvature Bounded Below. Transactions of the American Mathematical Society Series B (2023)

Xianzhe DaiShouhei HondaJiayin PanGuofang Wei

differential geometrymathematical analysismathematical sciencesanalytic number theoryricci curvaturecomplex analysisapplied mathematicsmathematicsgeometric topology

Analytic Torsion for Log-Enriques Surfaces and Borcherds Product. Forum of Mathematics Sigma (2022)

Xianzhe DaiKen-Ichi Yoshikawa

mathematical analysislog-enriques surfacesborcherds productapplied mathematicsanalytic torsion

Asymptotic Spectral Flow. arXiv (Cornell University) (2022)

Dai, XianzheLi, Yihan

asymptotic spectral flowmathematical physicsspectral theoryapplied mathematicsmathematics

Witten Deformation on Non-Compact Manifolds: Heat Kernel Expansion and Local Index Theorem. Mathematische Zeitschrift (2022)

Xianzhe DaiJunrong Yan

witten deformationheat kernel expansiongraph theorylocal index theoremmathematical physicsnon-compact manifoldsmathematics

1
2
3
4
5
10 / page

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Similar Faculty Members

Matthew Gursky

Institution

University of Notre Dame

geometric analysis

conformal geometry

Guofang Wei

Institution

University of California, Santa Barbara

Peter Petersen

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University of California, Los Angeles

applied mathematics

mathematics

Andrzej Derdzinski

Institution

Ohio State University

elementary particles

general system

John W Lott

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applied mathematics

mathematics

Henri Moscovici

Institution

Ohio State University

algebraic theory

hopf algebra

Hung-Hsi Wu

Institution

University of California, Berkeley

curriculum & instruction

philosophy of mathematics

Leonid Friedlander

Institution

University of Arizona

riemannian manifold

spectral theory

Fengbo Hang

Institution

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applied mathematics

mathematics

Pengzi Miao

Institution

University of Miami

mathematical relativity

differential geometry