Faculty

Institution

Unit

Venue

Jeremy Tyson

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Jeremy Tyson is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Jeremy Tyson

University of Illinois Urbana-Champaign

Professor

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mathematics applied mathematics mathematical sciences geometric topology geometry and topology function spaces geometric analysis functional analysis mathematical analysis differential geometry quasiconformal mappings topology geometric measure theory spectral theory operator theory riemannian manifold riemannian geometry lie group global geometry topological properties measure theory theoretical physics set-theoretic topology integral geometry boundary value problems global analysis complex geometry geometric quantization variational inequalities discrete geometry conformal field theory carnot groups poincaré inequalities nonlinear functional analysis riemann-hilbert problem harmonic space heisenberg group conformal dimension physics convex analysis real algebraic geometry coxeter group fractals combinatorial theory nilpotent groups elliptic equations infinite dimensional analysis metric measure annotation encoding= metric measure spaces bi-lipschitz embedding rational mechanic nonlinear analysis topological invariants group representation lie point symmetry lie theory topological dynamics variational analysis interpolation spaces conformal modulus metric spaces heisenberg groups lipschitz maps quasihyperbolic boundary conditions metric space assouad dimension gauss-bonnet theorem computer science high energy physics entropy statistical physics statistical mechanics nonlinear phenomena fractal analysis topological algebra geometry geometric function theory quasiconformal maps

Notable Scholarly Works

Notable Federal Grants

Collaborators

Polar Coordinates in Carnot Groups II. Contemporary mathematics - American Mathematical Society (2025)

Jeremy Tyson

operator theorycarnot groups iimathematical sciencescoxeter groupspectral theorygroup theorycarnot grouphomogeneous normgeometric quantizationmathematicsapplied mathematics

Stability Theorems for H-Type Carnot Groups. Journal of Geometric Analysis (2023)

Jeremy T. Tyson

lie groupmathematical sciencescoxeter groupgroup theoryh-type carnot groupsmathematicsgeometric topology

Quasiconformal Distortion of the Assouad Spectrum and Classification of Polynomial Spirals. Bulletin of the London Mathematical Society (2022)

Efstathios K. Chrontsios GaritsisJeremy T. Tyson

complex geometryfunction spacesgeometry and topologyquasiconformal mappingscomplex analysisalgebraic analysisdilatation kapplied mathematicsquasiconformal distortionalgebraic geometrypolynomial spiralsmathematicsgeometric topologyreal algebraic geometry

Analysis in Metric Spaces. Notices of the American Mathematical Society (2020)

Mario BonkLuca CapognaPiotr HajlaszNageswari ShanmugalingamJeremy T. Tyson

topological propertiestopologymathematical analysisfunctional analysismeasure theoryreal analysismetric graph theoryjune 2020geometric measure theoryset theoryset-theoretic topologymetric spacesfunction spacesgeometry and topologyapplied mathematicstheoretical mathematicsmathematicsgeometric topology

Conformal Graph Directed Markov Systems on Carnot Groups. Memoirs of the American Mathematical Society (2020)

Vasilis ChousionisJeremy TysonMariusz Urbanski

topologyentropymathematical sciencesmarkov systemstopological dynamicsgeometry and topologyconformal graphapplied mathematicssymbolic dynamicscarnot groupsmathematicsgeometric topology

On Uniform Measures in the Heisenberg Group. Advances in Mathematics (2020)

Vasilis ChousionisValentino MagnaniJeremy T. Tyson

theoretical physicsoperator theorymeasure theoryfunctional analysismathematical sciencesgeometric measure theoryoperator algebrasfunction spacesintegral geometryuniform measuresspectral theoryapplied mathematicsmathematicsgeometric group theory

Cantor Set Arithmetic. American Mathematical Monthly (2019)

Jayadev S. AthreyaBruce ReznickJeremy T. Tyson

mathematical analysiscantor setreal analysisset theoryset-theoretic topologynumber theoryclosed subsetmathematicscantor set arithmetic

Correction to: Intrinsic Curvature of Curves and Surfaces and a Gauss–Bonnet Theorem in the Heisenberg Group. Mathematische Zeitschrift (2019)

Zoltán M. BaloghJeremy T. TysonEugenio Vecchi

geometric analysisdifferential geometryriemannian manifoldheisenberg groupgeometric measure theorygauss–bonnet theoremcomplex geometryintegral geometryriemannian geometryintrinsic curvatureglobal geometrymathematicsgeometric topology

Geometry Labs United: An Invitation. Notices of the American Mathematical Society (2018)

Jayadev AthreyaDavid DumasWilliam GoldmanSergey GrigorianRosemary GuzmanPhilipp HieronymiSean LawtonAnton LukyanenkoJeremy TysonAaron Wilson

laboratory investigationdesignundergraduate researchhigher educationgraduate studentseducationgeometry labs unitedstudent learninggeometry labcomputing educationscience educationmathematics education

Heat Content and Horizontal Mean Curvature on the Heisenberg Group. Communications in Partial Differential Equations (2018)

Jeremy TysonJing Wang

physicsgeometric analysisdifferential geometrypoisson boundarymathematical analysisstatistical physicsmathematical physicshorizontal perimeterasymptotic analysisapplied mathematicsstatistical mechanicsheat contentmathematicsbrownian motion

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Jeremy Tyson

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Jeremy Tyson is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Jeremy Tyson

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Polar Coordinates in Carnot Groups II. Contemporary mathematics - American Mathematical Society (2025)

Jeremy Tyson

operator theorycarnot groups iimathematical sciencescoxeter groupspectral theorygroup theorycarnot grouphomogeneous normgeometric quantizationmathematicsapplied mathematics

Stability Theorems for H-Type Carnot Groups. Journal of Geometric Analysis (2023)

Jeremy T. Tyson

lie groupmathematical sciencescoxeter groupgroup theoryh-type carnot groupsmathematicsgeometric topology

Quasiconformal Distortion of the Assouad Spectrum and Classification of Polynomial Spirals. Bulletin of the London Mathematical Society (2022)

Efstathios K. Chrontsios GaritsisJeremy T. Tyson

Analysis in Metric Spaces. Notices of the American Mathematical Society (2020)

Mario BonkLuca CapognaPiotr HajlaszNageswari ShanmugalingamJeremy T. Tyson

Conformal Graph Directed Markov Systems on Carnot Groups. Memoirs of the American Mathematical Society (2020)

Vasilis ChousionisJeremy TysonMariusz Urbanski

topologyentropymathematical sciencesmarkov systemstopological dynamicsgeometry and topologyconformal graphapplied mathematicssymbolic dynamicscarnot groupsmathematicsgeometric topology

On Uniform Measures in the Heisenberg Group. Advances in Mathematics (2020)

Vasilis ChousionisValentino MagnaniJeremy T. Tyson

Cantor Set Arithmetic. American Mathematical Monthly (2019)

Jayadev S. AthreyaBruce ReznickJeremy T. Tyson

mathematical analysiscantor setreal analysisset theoryset-theoretic topologynumber theoryclosed subsetmathematicscantor set arithmetic

Correction to: Intrinsic Curvature of Curves and Surfaces and a Gauss–Bonnet Theorem in the Heisenberg Group. Mathematische Zeitschrift (2019)

Zoltán M. BaloghJeremy T. TysonEugenio Vecchi

Geometry Labs United: An Invitation. Notices of the American Mathematical Society (2018)

Jayadev AthreyaDavid DumasWilliam GoldmanSergey GrigorianRosemary GuzmanPhilipp HieronymiSean LawtonAnton LukyanenkoJeremy TysonAaron Wilson

laboratory investigationdesignundergraduate researchhigher educationgraduate studentseducationgeometry labs unitedstudent learninggeometry labcomputing educationscience educationmathematics education

Heat Content and Horizontal Mean Curvature on the Heisenberg Group. Communications in Partial Differential Equations (2018)

Jeremy TysonJing Wang

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