Faculty

Institution

Unit

Venue

Yi Ni

Professor of Mathematics

California Institute of Technology

Affiliations

Division of Physics, Mathematics and Astronomy

Mathematics

Yi Ni is currently serving as a Division Of Physics, Mathematics And Astronomy Professor of Mathematics at California Institute of Technology.

Honors

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Experiences

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Education

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Yi Ni

California Institute of Technology

Professor of Mathematics

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topology applied mathematics knot theory mathematics geometric topology geometry and topology geometry algebraic topology mathematical analysis number theory analytic number theory materials science deformation mathematical optimization mathematical sciences dehn surgeries half-integral finite surgeries thurston norm correction terms anthropology differential geometry bone research fibers network topology link analysis manifold modeling manifold learning spine surgery complex geometry fiber structure topological algebra modern algebra default logic spline (mathematics) realization theory link floer homology khovanov module heegaard floer homology rational genus bounds heegaard diagrams cabling formula twisted floer homology knot floer homology sutured floer homology homological actions product manifolds finite dehn surgeries symplectic geometry enumerative geometry global geometry khovanov homology

Notable Scholarly Works

Notable Federal Grants

Collaborators

Extending Periodic Automorphisms of Surfaces to 3-Manifolds. Communications in Analysis and Geometry (2024)

Yi NiChao WangShicheng Wang

periodic automorphismstopology

Floer Homology and Right-Veering Monodromy. Journal für die reine und angewandte Mathematik (Crelles Journal) (2024)

John A. BaldwinYi NiSteven Sivek

topologyfloer homologyright-veering monodromy

A Characterization of T2G+1,2 Among Alternating Knots. Acta Mathematica Sinica English Series (2021)

Yi Ni

spline (mathematics)applied mathematicsmathematicsknot theorycomplex analysisgroup theorymathematical analysisgeometry and topology

Seifert Fibered and Reducible Surgeries on Hyperbolic Fibered Knots. arXiv (Cornell University) (2020)

Yi Ni

reducible surgeriesbiomedical engineering

Finite Dehn Surgeries on Knots in S3. Algebraic & Geometric Topology (2018)

Yi NiXingru Zhang

geometric topologyalgebraic geometryfinite dehn surgeriestopologymathematicsknot theorytopological algebraalgebraic topology

Null Surgery on Knots in L-Spaces. Transactions of the American Mathematical Society (2018)

Yi NiFaramarz Vafaee

topologymathematicsknot theorynumber theorymodern algebraapplied mathematicsnull surgery

The Prism Manifold Realization Problem III. arXiv (Cornell University) (2018)

Ballinger, WilliamNi, YiOchse, TynanVafaee, Faramarz

mathematical optimizationrealization theoryanalytic number theorymathematicscomputational mathematicsmathematical analysisapplied mathematicsmathematical sciences

Detection of Knots and a Cabling Formula for a–Polynomials. Algebraic & Geometric Topology (2017)

Yi NiXingru Zhang

geometric topologycabling formulatopologyknot theoryalgebraic topology

Fintushel–Stern Knot Surgery in Torus Bundles. Journal of Topology (2017)

Yi Ni

geometric topologyfintushel-stern knot surgerytopologyknot theorytorus bundles

Virtual Betti Numbers and Virtual Symplecticity of 4-Dimensional Mapping Tori, II. Science China Mathematics (2017)

Yi Ni

virtual betti numbersvirtual symplecticityapplied mathematicsmathematics

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Yi Ni

Professor of Mathematics

California Institute of Technology

Affiliations

Division of Physics, Mathematics and Astronomy

Mathematics

Yi Ni is currently serving as a Division Of Physics, Mathematics And Astronomy Professor of Mathematics at California Institute of Technology.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Yi Ni

California Institute of Technology

Professor of Mathematics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Extending Periodic Automorphisms of Surfaces to 3-Manifolds. Communications in Analysis and Geometry (2024)

Yi NiChao WangShicheng Wang

periodic automorphismstopology

Floer Homology and Right-Veering Monodromy. Journal für die reine und angewandte Mathematik (Crelles Journal) (2024)

John A. BaldwinYi NiSteven Sivek

topologyfloer homologyright-veering monodromy

A Characterization of T2G+1,2 Among Alternating Knots. Acta Mathematica Sinica English Series (2021)

Yi Ni

spline (mathematics)applied mathematicsmathematicsknot theorycomplex analysisgroup theorymathematical analysisgeometry and topology

Seifert Fibered and Reducible Surgeries on Hyperbolic Fibered Knots. arXiv (Cornell University) (2020)

Yi Ni

reducible surgeriesbiomedical engineering

Finite Dehn Surgeries on Knots in S3. Algebraic & Geometric Topology (2018)

Yi NiXingru Zhang

geometric topologyalgebraic geometryfinite dehn surgeriestopologymathematicsknot theorytopological algebraalgebraic topology

Null Surgery on Knots in L-Spaces. Transactions of the American Mathematical Society (2018)

Yi NiFaramarz Vafaee

topologymathematicsknot theorynumber theorymodern algebraapplied mathematicsnull surgery

The Prism Manifold Realization Problem III. arXiv (Cornell University) (2018)

Ballinger, WilliamNi, YiOchse, TynanVafaee, Faramarz

mathematical optimizationrealization theoryanalytic number theorymathematicscomputational mathematicsmathematical analysisapplied mathematicsmathematical sciences

Detection of Knots and a Cabling Formula for a–Polynomials. Algebraic & Geometric Topology (2017)

Yi NiXingru Zhang

geometric topologycabling formulatopologyknot theoryalgebraic topology

Fintushel–Stern Knot Surgery in Torus Bundles. Journal of Topology (2017)

Yi Ni

geometric topologyfintushel-stern knot surgerytopologyknot theorytorus bundles

Virtual Betti Numbers and Virtual Symplecticity of 4-Dimensional Mapping Tori, II. Science China Mathematics (2017)

Yi Ni

virtual betti numbersvirtual symplecticityapplied mathematicsmathematics

1
2
3
4
10 / page

Similar Faculty Members

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Similar Faculty Members

Nikolai Saveliev

Institution

University of Miami

topology

mathematics

Robert E. Gompf

Institution

University of Texas at Austin

complex geometry

topology

Darren Long

Institution

University of California, Santa Barbara

low dimensional topology

topology

John Baldwin

Institution

Boston College

topology

mathematical science

Nicholas Proudfoot

Institution

University of Oregon

mathematics

applied mathematics

Daryl Cooper

Institution

University of California, Santa Barbara

geometric objects

real projective structures

Adam Simon Levine

Institution

Princeton University

knot floer homology

topology

Hsian-Hua Tseng

Institution

Ohio State University

complex geometry

symplectic topology

Paul Seidel

Institution

Massachusetts Institute of Technology

geometry

symplectic geometry

Robert Lipshitz

Institution

University of Oregon

geometric topology

topology