Faculty

Institution

Unit

Venue

Mark Eric Fels

Professor

Utah State University

Affiliations

College of Science

Department of Mathematics and Statistics

Mark Eric Fels is currently serving as a College Of Science Professor at Utah State University.

Honors

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Experiences

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Education

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Mark Eric Fels

Utah State University

Professor

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mathematics applied mathematics mathematical sciences differential geometry symmetry differential equations geometric topology lie point symmetry integrable systems lie group symmetry (physics) ordinary differential equations boundary value problems partial differential equations lie theory discrete integrable system geometric analysis backlund transformation spectral theory theoretical physics group theory calculus of variations symmetry reduction function spaces lie algebra geometric group theory general systems nonlinear dynamics nonlinear analysis scientific computing global analysis riemannian geometry reference frame geometric partial differential equation symmetric criticality bäcklund transformations inverse problem rational mechanic riemannian manifold manifold modeling hamiltonian system group representation motion analysis discrete differential geometry relative invariants superposition formulas group invariant solutions exterior differential systems computer science computer engineering nonlinear science fractional calculus modern physics numerical mathematics mathematical optimization ricci flow general relativity gravitation theory lagrangian method variational analysis dirac operator topological invariants resolvent kernel motion detection quantum field theory in curved spacetime hyperbolic equations global geometry complex geometry fundamental invariants unique system fundamental tensor invariants dimension four lorentz signature algebraic classification group action lie symmetry reduction differential invariants algebraic geometry

Notable Scholarly Works

Notable Federal Grants

Collaborators

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

Fels, Mark E.Ivey, Thomas A.

lie theorypde systemslie point symmetrylie groupcomplex analysisglobal analysisintegrable systemselliptic systemsboundary value problemsmathematical sciencesapplied mathematicsmathematical physicsmathematicssymmetry groupdifferential geometrydifferential equations

Variational Operators, Symplectic Operators, and the Cohomology of Scalar Evolution Equations. arXiv (Cornell University) (2019)

Mark E. FelsEmrullah Yasar

symplectic geometrysymplectic operatorshamiltonian systemspectral theoryvariational operatorsfirst ordermathematical sciencesapplied mathematicsmathematicshamiltonian theoryoperator theory

An Introduction to Differential Geometry Through Computation. (2016)

Mark Eric Fels

riemannian geometrygeometry and topologygeometric analysisscientific computingglobal geometrydiscrete differential geometrynumerical mathematicsmathematical sciencesapplied mathematicsmathematicsgeometric modelingdifferential geometrygeometrygeometric topology

A Backlund Transformation for the A2 Toda System (Example 3.4). (2015)

Ian M AndersonMark E. Fels

symplectic geometrylie point symmetrydiscrete integrable systemintegrable systemsspectral theorybacklund transformationmathematical sciencesapplied mathematicsmathematical physicsmathematicsdifferential equationsa2 toda system

Backlund Transformation for 3 Rt + 1 = 0 (Example 3.4). (2015)

Ian M. AndersonMark E. Fels

example 3.4integral transformsbacklund transformationapplied mathematicsmathematical physicsmathematics

BäCklund Transformations for Darboux Integrable Differential Systems: Examples and Applications. Journal of Geometry and Physics (2015)

Ian M. AndersonMark E. Fels

lie point symmetryresolvent kernelnonlinear dynamicsordinary differential equationsnonlinear systemsdiscrete integrable systemspectral theorydynamical systemsbacklund transformationbäcklund transformationsapplied mathematicsintegrable systemsmathematicsdifferential equations

Classical Examples of BäCklund Transformations (Examples 3.1, 3.2, 5.1). (2015)

Ian M. AndersonMark E. Fels

mathematical analysisclassical examplesrational mechanicintegral transformsnonlinear dynamicsbacklund transformationapplied mathematicsintegrable systemsmathematicsgeometric topology

On the Construction of Simply Connected Solvable Lie Groups. arXiv (Cornell University) (2015)

Mark E. Fels

lie theorygroup representationlie groupmatrix exponentialvector fieldsgroup theory\wedge \omega_\mathfraklie algebramathematical sciencesmathematicsgeometric topologyrepresentation theory

BäCklund Transformations for Darboux Integrable Differential Systems. Selecta Mathematica (2014)

I. M. AndersonM. E. Fels

fractional calculusnonlinear sciencenonlinear dynamicsordinary differential equationsspectral theorydynamical systemsbacklund transformationbäcklund transformationsapplied mathematicsintegrable systemsdiscrete integrable systemdifferential equations

Darboux Integrable Differential Systems: Examples and Applications. arXiv (Cornell University) (2014)

Ian M. AndersonMark E. Fels

group theoretical approachnon-existence theoremfunction spacesdiscrete integrable systemnew applicationsbacklund transformationdifferential equationsmathematical sciencesapplied mathematicsintegrable systemsmathematicsoperator theory

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Mark Eric Fels

Professor

Utah State University

Affiliations

College of Science

Department of Mathematics and Statistics

Mark Eric Fels is currently serving as a College Of Science Professor at Utah State 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

Mark Eric Fels

Utah State University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

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

Fels, Mark E.Ivey, Thomas A.

Variational Operators, Symplectic Operators, and the Cohomology of Scalar Evolution Equations. arXiv (Cornell University) (2019)

Mark E. FelsEmrullah Yasar

symplectic geometrysymplectic operatorshamiltonian systemspectral theoryvariational operatorsfirst ordermathematical sciencesapplied mathematicsmathematicshamiltonian theoryoperator theory

An Introduction to Differential Geometry Through Computation. (2016)

Mark Eric Fels

A Backlund Transformation for the A2 Toda System (Example 3.4). (2015)

Ian M AndersonMark E. Fels

Backlund Transformation for 3 Rt + 1 = 0 (Example 3.4). (2015)

Ian M. AndersonMark E. Fels

example 3.4integral transformsbacklund transformationapplied mathematicsmathematical physicsmathematics

BäCklund Transformations for Darboux Integrable Differential Systems: Examples and Applications. Journal of Geometry and Physics (2015)

Ian M. AndersonMark E. Fels

Classical Examples of BäCklund Transformations (Examples 3.1, 3.2, 5.1). (2015)

Ian M. AndersonMark E. Fels

mathematical analysisclassical examplesrational mechanicintegral transformsnonlinear dynamicsbacklund transformationapplied mathematicsintegrable systemsmathematicsgeometric topology

On the Construction of Simply Connected Solvable Lie Groups. arXiv (Cornell University) (2015)

Mark E. Fels

lie theorygroup representationlie groupmatrix exponentialvector fieldsgroup theory\wedge \omega_\mathfraklie algebramathematical sciencesmathematicsgeometric topologyrepresentation theory

BäCklund Transformations for Darboux Integrable Differential Systems. Selecta Mathematica (2014)

I. M. AndersonM. E. Fels

Darboux Integrable Differential Systems: Examples and Applications. arXiv (Cornell University) (2014)

Ian M. AndersonMark E. Fels

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