Faculty

Institution

Unit

Venue

Sergei V Ivanov

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Sergei V Ivanov 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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Sergei V Ivanov

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

mathematics mathematical sciences applied mathematics group theory geometric topology geometric analysis geometry and topology differential geometry riemannian manifold frattini subgroup geometric group theory riemannian geometry pure mathematics geometry topology ordered group group representation group structure combinatorial theory nilpotent groups coxeter group function spaces global geometry free products spectral theory global analysis manifold modeling algebraic combinatorics kam theory convex analysis boundary value problems geometric partial differential equation discrete geometry nonlinear phenomena integral geometry annotation encoding= free subgroups free groups language mathematical programming abstract algebra transformation semigroups manifold learning combinatorics on words finsler metrics free burnside groups data science mathematical optimization combinatorial optimization computational statistics statistical mechanics lie group topological invariants topological dynamics asymptotic formula geometry of numbers variational inequalities free probability gaussian analysis hyperbolic diffeomorphisms boundary rigidity surface area factor free subgroups free product boundary distance group presentation metric space group g computational optimization discrete algorithms statistical methodology graph analysis theta functions enumerative geometry real algebraic geometry metric geometry topological combinatorics algebra topological algebra

Notable Scholarly Works

Notable Federal Grants

Collaborators

Quantitative Stability of Gel’fand’S Inverse Boundary Problem. Analysis & PDE (2025)

Dmitri BuragoSergei IvanovMatti LassasJinpeng Lu

numerical analysisapplied mathematicsquantitative stabilitynumerical mathematicsfree boundary problemspartial differential equationsstabilitymathematicsnumerical method for partial differential equationdifferential equationsboundary value problemsinverse problemsnonlinear analysis

Fitting a Manifold of Large Reach to Noisy Data. Journal of Topology and Analysis (2023)

Charles FeffermanSergei IvanovMatti LassasHariharan Narayanan

random samplesgaussian analysisprobability measurestatistical theorymanifold modelingstatistical mechanicsstatisticsstatistical methodologydata scienceuncertainty quantificationgaussian processgeometric analysiscomputational statisticshigh-dimensional statisticslarge reachapproximation theoryapplied mathematicsdensity estimationstatistical inference

Approximations of the Connection Laplacian Spectra. Mathematische Zeitschrift (2022)

Dmitri BuragoSergei IvanovYaroslav KurylevJinpeng Lu

convolution-type operatorriemannian manifoldapplied mathematicsgeometric analysisfunctional analysisoperator theoryanalogous convolution laplacianconnection laplacianriemannian geometrygeometric topologyspectral theorymathematicsdifferential geometrygeometry and topology

Flexibility of Sections of Nearly Integrable Hamiltonian Systems. Communications in Contemporary Mathematics (2022)

Dmitri BuragoDong ChenSergei Ivanov

discrete integrable systemkam theoryhamiltonian theorymathematical physicssmall perturbationsapplied mathematicsgeometric analysisergodic theoryfunctional analysissymplectic geometrymathematical analysisintegrable hamiltonian systemsgeometric singular perturbation theorystatistical mechanicshamiltonian systemmathematicshamiltonian flowmathematical sciences

Distance Difference Functions on Nonconvex Boundaries of Riemannian Manifolds. St Petersburg Mathematical Journal (2021)

S. Ivanov

geometric partial differential equationriemannian manifolddistance difference functionsapplied mathematicsgeometric analysisglobal geometryfunctional analysisdistance difference representationgeometrycomplete riemannian manifoldmanifold modelinggeometric topologyriemannian geometrymathematicsboundary value problemsdifferential geometrygeometry and topology

Geodesic Behavior for Finsler Metrics of Constant Positive Flag Curvature on $S^2$. Journal of Differential Geometry (2021)

R. L. BryantP. FoulonS. V. IvanovV. S. MatveevW. Ziller

riemannian manifoldgeometric analysisglobal geometryconstant flag curvaturegeometrygeometric relativityfinsler metricsriemannian geometrygeometric topologypositive flag curvaturemathematicsricci flowdifferential geometrygeometry and topology

Reconstruction and Interpolation of Manifolds II: Inverse Problems for Riemannian Manifolds With Partial Distance Data. arXiv (Cornell University) (2021)

Charles FeffermanSergei IvanovMatti LassasJinpeng LuHariharan Narayanan

convex analysisriemannian manifoldapplied mathematicsgeometric analysisgeometrylocal distance measurementsmanifold modelinggeometric topologyriemannian geometrymathematicsinverse problemmanifolds iiricci flowdifferential geometrygeometry and topologyinverse problems

An Example of Entropy Non-Expansive Kam-Nondegenerate Nearly Integrable System. arXiv (Cornell University) (2020)

Dmitri BuragoDong ChenSergei Ivanov

discrete integrable systemkam theoryhamiltonian theorymathematical physicsentropy non-expansive kam-nondegenerateentropysymplectic geometryapplied mathematicshamiltonian perturbationpositive metric entropydynamical systemshamiltonian systemmathematicsintegrable systemsmathematical sciences

Announcement of"an Example of Entropy Non-Expansive Kam-Nondegenerate Nearly Integrable System". arXiv (Cornell University) (2020)

Dmitri BuragoDong ChenSergei Ivanov

discrete integrable systemkam theoryhamiltonian theorymathematical physicspositive metric entropyentropyapplied mathematicsergodic theoryhamiltonian perturbationdynamical systemsnonlinear sciencehamiltonian systemkam non-degeneracy conditionsmathematicsintegrable systemsnonlinear phenomenamathematical sciences

Key Ideas Behind Perturbing Any Completely Integrable Hamiltonian System Obtaining Volume Entropy Non-Expansiveness. arXiv (Cornell University) (2020)

Dmitri BuragoDong ChenSergei Ivanov

kam theoryhamiltonian theorymathematical physicspositive metric entropyentropyapplied mathematicshamiltonian perturbationkey ideasdynamical systemsgeometric singular perturbation theorymathematicsintegrable systemsnonlinear phenomenahamiltonian system

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Sergei V Ivanov

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Sergei V Ivanov 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

Sergei V Ivanov

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Quantitative Stability of Gel’fand’S Inverse Boundary Problem. Analysis & PDE (2025)

Dmitri BuragoSergei IvanovMatti LassasJinpeng Lu

Fitting a Manifold of Large Reach to Noisy Data. Journal of Topology and Analysis (2023)

Charles FeffermanSergei IvanovMatti LassasHariharan Narayanan

Approximations of the Connection Laplacian Spectra. Mathematische Zeitschrift (2022)

Dmitri BuragoSergei IvanovYaroslav KurylevJinpeng Lu

Flexibility of Sections of Nearly Integrable Hamiltonian Systems. Communications in Contemporary Mathematics (2022)

Dmitri BuragoDong ChenSergei Ivanov

Distance Difference Functions on Nonconvex Boundaries of Riemannian Manifolds. St Petersburg Mathematical Journal (2021)

S. Ivanov

Geodesic Behavior for Finsler Metrics of Constant Positive Flag Curvature on $S^2$. Journal of Differential Geometry (2021)

R. L. BryantP. FoulonS. V. IvanovV. S. MatveevW. Ziller

Reconstruction and Interpolation of Manifolds II: Inverse Problems for Riemannian Manifolds With Partial Distance Data. arXiv (Cornell University) (2021)

Charles FeffermanSergei IvanovMatti LassasJinpeng LuHariharan Narayanan

An Example of Entropy Non-Expansive Kam-Nondegenerate Nearly Integrable System. arXiv (Cornell University) (2020)

Dmitri BuragoDong ChenSergei Ivanov

Announcement of"an Example of Entropy Non-Expansive Kam-Nondegenerate Nearly Integrable System". arXiv (Cornell University) (2020)

Dmitri BuragoDong ChenSergei Ivanov

Key Ideas Behind Perturbing Any Completely Integrable Hamiltonian System Obtaining Volume Entropy Non-Expansiveness. arXiv (Cornell University) (2020)

Dmitri BuragoDong ChenSergei Ivanov

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