Faculty

Institution

Unit

Venue

Thomas Ivey

College of Charleston

Affiliations

College of Charleston

Department Of Mathematics

School Of Science And Mathematics

NoneThomas Ivey is currently serving as a College Of Charleston faculty at College of Charleston.

Honors

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Experiences

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Education

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Thomas Ivey

College of Charleston

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mathematics geometric topology differential geometry applied mathematics geometry and topology geometry geometric analysis riemannian geometry global analysis mathematical sciences boundary value problems complex geometry physics mathematical physics topology backlund transformation integrable systems rational mechanic global geometry fluid dynamics nonlinear science projective geometry nonlinear phenomena geometric partial differential equation lie point symmetry integral geometry enumerative geometry vortex filament equation stability spectral theory fluid flow higher education riemannian manifold vortex dynamics discrete integrable system hopf hypersurfaces darboux integrability function spaces nonlinear analysis periodic travelling wave ricci flow geometric singular perturbation theory geometric flows knot types finite-gap solutions structure jacobi operator engineering mathematics education theoretical physics computational fluid dynamics computer graphics fractional calculus topological invariants knot theory many-body problem potential theory curve modeling hydrodynamic stability realization theory unsteady flows surface modeling topological soliton calculus of variations elliptic equations network theory exercise rehabilitation closed elastic rods star-shaped curves kdv-type flows symmetric solutions exterior differential systems cgl perturbations spectral stability analysis -ricci tensor real hypersurfaces \rm h

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Novel Geometric Realization of the Yajima - Oikawa Equations. Arnold Mathematical Journal (2026)

geometric analysisdifferential geometryrational mechanicmathematical analysisgeometric singular perturbation theorygeometrynovel geometric realizationmathematical physicsnonlinear analysisapplied mathematicsintegrable systemsmathematicsdifferential equations

Darboux Integrability and the Solution of Elliptic Pde Systems via Holomorphic Data. Journal of Geometry and Physics (2026)

calculus of variationsfunctional analysisboundary value problemselliptic equationsdiscrete integrable systemelliptic pde systemsholomorphic dataapplied mathematicsnonlinear analysisdarboux integrabilitypartial differential equationsintegrable systemsmathematicsdifferential equations

Cohomogeneity One Solitons for the Isometric Flow of $$\Textrm{G}_2$$-Structures. Geometriae Dedicata (2024)

symmetrygeometric analysisdifferential geometrytopologytopological solitonlie point symmetryglobal analysisnonlinear phenomenanonlinear scienceisometric flowmathematicsgeometric topology

Mkdv-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere. Symmetry Integrability and Geometry Methods and Applications (2024)

physicsgeometric flowsmkdv-related flowsgeometryfluid flow

The Geometry of Darboux Integrable Elliptic Systems. arXiv (Cornell University) (2024)

Fels, Mark E.Ivey, Thomas A.

pde systemslie groupdifferential geometrysymmetry grouplie point symmetryboundary value problemsmathematical sciencesglobal analysiselliptic systemslie theorymathematical physicscomplex analysisdifferential equationsintegrable systemsmathematicsapplied mathematics

BäCklund Transformations and Darboux Integrability, Revisited. Journal of Geometry and Physics (2022)

functional analysisdiscrete integrable systemdarboux integrabilityintegrable systemsbacklund transformationfractional calculusmathematics

A Classification of Twisted Austere 3-Folds. Symmetry Integrability and Geometry Methods and Applications (2021)

twisted austere 3-foldsenumerative geometrygeometry and topologymathematicsgeometric topology

Integrable Geometric Flows for Curves in Pseudoconformal S3. Journal of Geometry and Physics (2021)

geometric flowsgeometric analysisdifferential geometryrational mechanicglobal analysisgeometrygeometry and topologyintegrable systemsintegrable geometric flowsmathematicsgeometric topology

Isometric Embedding and Darboux Integrability. Geometriae Dedicata (2019)

functional analysismathematical sciencesdiscrete integrable systemfunction spacesintegral geometryisometric embeddingspectral theoryapplied mathematicsintegrable systemsmathematicsgeometric topology

Geometric Characterization and Classification of BäCklund Transformations of Sine-Gordon Type. Journal of Integrable Systems (2018)

Jeanne N ClellandThomas A Ivey

integrable systemsbacklund transformationgeometric characterizationsine-gordon type

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Thomas Ivey

College of Charleston

Affiliations

College of Charleston

Department Of Mathematics

School Of Science And Mathematics

NoneThomas Ivey is currently serving as a College Of Charleston faculty at College of Charleston.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Thomas Ivey

College of Charleston

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Novel Geometric Realization of the Yajima - Oikawa Equations. Arnold Mathematical Journal (2026)

Darboux Integrability and the Solution of Elliptic Pde Systems via Holomorphic Data. Journal of Geometry and Physics (2026)

Cohomogeneity One Solitons for the Isometric Flow of $$\Textrm{G}_2$$-Structures. Geometriae Dedicata (2024)

symmetrygeometric analysisdifferential geometrytopologytopological solitonlie point symmetryglobal analysisnonlinear phenomenanonlinear scienceisometric flowmathematicsgeometric topology

Mkdv-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere. Symmetry Integrability and Geometry Methods and Applications (2024)

physicsgeometric flowsmkdv-related flowsgeometryfluid flow

The Geometry of Darboux Integrable Elliptic Systems. arXiv (Cornell University) (2024)

Fels, Mark E.Ivey, Thomas A.

BäCklund Transformations and Darboux Integrability, Revisited. Journal of Geometry and Physics (2022)

functional analysisdiscrete integrable systemdarboux integrabilityintegrable systemsbacklund transformationfractional calculusmathematics

A Classification of Twisted Austere 3-Folds. Symmetry Integrability and Geometry Methods and Applications (2021)

twisted austere 3-foldsenumerative geometrygeometry and topologymathematicsgeometric topology

Integrable Geometric Flows for Curves in Pseudoconformal S3. Journal of Geometry and Physics (2021)

geometric flowsgeometric analysisdifferential geometryrational mechanicglobal analysisgeometrygeometry and topologyintegrable systemsintegrable geometric flowsmathematicsgeometric topology

Isometric Embedding and Darboux Integrability. Geometriae Dedicata (2019)

functional analysismathematical sciencesdiscrete integrable systemfunction spacesintegral geometryisometric embeddingspectral theoryapplied mathematicsintegrable systemsmathematicsgeometric topology

Geometric Characterization and Classification of BäCklund Transformations of Sine-Gordon Type. Journal of Integrable Systems (2018)

Jeanne N ClellandThomas A Ivey

integrable systemsbacklund transformationgeometric characterizationsine-gordon type

1
2
3
4
5
6
7
10 / page