Faculty

Institution

Unit

Venue

Daniel L. Stern

Assistant Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Daniel L. Stern is currently serving as a College Of Arts And Sciences Assistant Professor at Cornell University.

Honors

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Experiences

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Education

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Daniel L. Stern

Cornell University

Assistant Professor

You can click a keyword to filter the displayed items

mathematics geometric analysis applied mathematics mathematical sciences differential geometry geometric topology geometry and topology global analysis riemannian manifold riemannian geometry spectral theory mathematical analysis boundary value problems harmonic space functional analysis topology geometry geometric partial differential equation physics harmonic analysis gauge theory critical points global geometry calculus of variations quasiconformal mappings gauge field theory free boundary problems potential theory scalar curvature minimal submanifolds theoretical physics convex analysis polyhedron nonlinear phenomena integral geometry conformal field theory theoretical high-energy physics parabolic equations ricci flow spectral analysis computational topology enumerative geometry discrete geometry riemann-hilbert problem dirichlet form geometric quantization nonlinear functional analysis harmonic map harmonic norm harmonic functions hermitian line abelian higgs model maximal metrics min-max harmonic maps min-max quantities min-max solutions min-max construction stationary varifolds laplace eigenvalues isoperimetric inequalities theoretical mathematics rational mechanic geometric measure theory

Notable Scholarly Works

Notable Federal Grants

Collaborators

Large Topology Asymptotics for Spectrally Extremal Minimal Surfaces in $\Mathbb{B}^3$ and $\Mathbb{S}^3$. arXiv (Cornell University) (2025)

Karpukhin, MikhailMcGrath, PeterStern, Daniel

geometric topologydifferential geometryriemannian geometryextremal minimal surfacestopologyapplied mathematicsglobal analysismathematicsgeometryminimal surfacesglobal geometrygeometric analysislarge topology asymptoticsspectral theorygeometry and topologymathematical sciences

Nonabelian Yang-Mills-Higgs and Plateau's Problem in Codimension Three. arXiv (Cornell University) (2025)

Parise, DavidePigati, AlessandroStern, Daniel

asymptotic analysisfunctional analysisquantum field theorycalibration formgeneralized monopole equationglobal analysismathematicsnonabelian yang-mills-higgsgeometric analysismathematical analysisgauge theoryapplied mathematicsmathematical sciences

Stability of Isoperimetric Inequalities for Laplace Eigenvalues on Surfaces. Journal of Differential Geometry (2025)

Mikhail KarpukhinMickaël NahonIosif PolterovichDaniel Stern

geometric topologyfunctional analysisdifferential geometryriemannian geometrylaplace eigenvaluesgeometry and topologyriemannian manifoldglobal analysismathematicssharp quantitative stabilitygeometric analysisisoperimetric inequalitiesmathematical analysisspectral theoryapplied mathematicsmathematical sciences

Embedded Minimal Surfaces in $\Mathbb{S}^3$ and $\Mathbb{B}^3$ via Equivariant Eigenvalue Optimization. arXiv (Cornell University) (2024)

Karpukhin, MikhailKusner, RobertMcGrath, PeterStern, Daniel

geometric topologyenumerative geometrydifferential geometrytopological realization problempolyhedroncomputational topologytopologyequivariant eigenvalue optimizationapplied mathematicsminimal surfacesmathematicsgeometrygeometric analysisdiscrete geometryfree boundary problemsgeometry and topology

Existence of Harmonic Maps and Eigenvalue Optimization in Higher Dimensions. Inventiones mathematicae (2024)

Mikhail KarpukhinDaniel Stern

geometric topologyfunctional analysisboundary value problemsdifferential geometryriemannian geometryeigenvalue optimizationriemannian manifoldharmonic mapsapplied mathematicsglobal analysismathematicsharmonic spacegeometric analysisoptimal regularityspectral theorygeometry and topologymathematical sciences

From Steklov to Laplace: Free Boundary Minimal Surfaces With Many Boundary Components. Duke Mathematical Journal (2024)

Mikhail KarpukhinDaniel Stern

geometric topologygeometric partial differential equationfree boundary problemsgeometry and topologyriemannian manifoldmathematicsmathematical analysisboundary value problemsdifferential geometryfirst laplace eigenvalueglobal analysisboundary componentsmathematical sciencesriemannian geometrygeometrygeometric analysisconvex analysissharp isoperimetric inequalitiesapplied mathematics

The Parabolic U(1)-Higgs Equations and Codimension-Two Mean Curvature Flows. Geometric and Functional Analysis (2024)

Davide PariseAlessandro PigatiDaniel Stern

geometric topologygeometric partial differential equationboundary value problemsparabolic udifferential geometrymathematicsparabolic equationsgeometric analysisricci flow

Convergence of the Self‐Dual U (1)‐Yang–Mills–Higgs Energies to the (N−2)$(N-2)$‐Area Functional. Communications on Pure and Applied Mathematics (2023)

Davide PariseAlessandro PigatiDaniel Stern

geometric topologyquantum field theorydifferential geometrygauge field theorytheoretical physicsmathematical physicsglobal analysisrecovery sequencemathematicsgeometric analysisintegral cyclegauge theoryapplied mathematicsmathematical scienceshomology class

Level Set Methods in the Study of Scalar Curvature. WORLD SCIENTIFIC eBooks (2023)

Daniel Stern

geometric topologygeometric partial differential equationboundary value problemsdifferential geometrymathematicslevel set methodsgeometric analysisapplied mathematicsmathematical sciences

Min-Max Harmonic Maps and a New Characterization of Conformal Eigenvalues. Journal of the European Mathematical Society (2023)

Mikhail KarpukhinDaniel Stern

geometric topologyfunctional analysisriemannian geometrymaximal metricsmin-max harmonic mapsmin-max quantitiesriemannian manifoldapplied mathematicsmathematicsharmonic spacegeometric analysisspectral theorygeometry and topologymathematical sciences

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Daniel L. Stern

Assistant Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Daniel L. Stern is currently serving as a College Of Arts And Sciences Assistant Professor at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Daniel L. Stern

Cornell University

Assistant Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Large Topology Asymptotics for Spectrally Extremal Minimal Surfaces in $\Mathbb{B}^3$ and $\Mathbb{S}^3$. arXiv (Cornell University) (2025)

Karpukhin, MikhailMcGrath, PeterStern, Daniel

Nonabelian Yang-Mills-Higgs and Plateau's Problem in Codimension Three. arXiv (Cornell University) (2025)

Parise, DavidePigati, AlessandroStern, Daniel

Stability of Isoperimetric Inequalities for Laplace Eigenvalues on Surfaces. Journal of Differential Geometry (2025)

Mikhail KarpukhinMickaël NahonIosif PolterovichDaniel Stern

Embedded Minimal Surfaces in $\Mathbb{S}^3$ and $\Mathbb{B}^3$ via Equivariant Eigenvalue Optimization. arXiv (Cornell University) (2024)

Karpukhin, MikhailKusner, RobertMcGrath, PeterStern, Daniel

Existence of Harmonic Maps and Eigenvalue Optimization in Higher Dimensions. Inventiones mathematicae (2024)

Mikhail KarpukhinDaniel Stern

From Steklov to Laplace: Free Boundary Minimal Surfaces With Many Boundary Components. Duke Mathematical Journal (2024)

Mikhail KarpukhinDaniel Stern

The Parabolic U(1)-Higgs Equations and Codimension-Two Mean Curvature Flows. Geometric and Functional Analysis (2024)

Davide PariseAlessandro PigatiDaniel Stern

geometric topologygeometric partial differential equationboundary value problemsparabolic udifferential geometrymathematicsparabolic equationsgeometric analysisricci flow

Convergence of the Self‐Dual U (1)‐Yang–Mills–Higgs Energies to the (N−2)$(N-2)$‐Area Functional. Communications on Pure and Applied Mathematics (2023)

Davide PariseAlessandro PigatiDaniel Stern

Level Set Methods in the Study of Scalar Curvature. WORLD SCIENTIFIC eBooks (2023)

Daniel Stern

geometric topologygeometric partial differential equationboundary value problemsdifferential geometrymathematicslevel set methodsgeometric analysisapplied mathematicsmathematical sciences

Min-Max Harmonic Maps and a New Characterization of Conformal Eigenvalues. Journal of the European Mathematical Society (2023)

Mikhail KarpukhinDaniel Stern

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differential geometry

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