Faculty

Institution

Unit

Venue

Alexander Tumanov

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Alexander Tumanov 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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Alexander Tumanov

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

mathematics geometry and topology geometric analysis geometric topology differential geometry complex geometry mathematical sciences complex analysis applied mathematics complex function theory mathematical analysis topology global analysis geometry boundary value problems operator theory function spaces function theory riemann-hilbert problem real algebraic geometry global geometry riemannian geometry quasiconformal mappings extremal discs pseudoholomorphic discs cr mappings elliptic equations integral geometry hamiltonian system hamiltonian theory topological properties lie group lie theory lie algebra dimension 2 stationary discs hilbert spaces hilbert space planetary sciences astronomy composition mathematica polyhedron spectral theory convex analysis shock waves statistical physics asian studies nonlinear phenomena generalized functions subdivision surfaces elliptic function riemannian manifold discrete geometry nonlinear hyperbolic problem parabolic equations hyperbolic conservation laws periodic travelling wave discrete differential geometry mendelian inheritance group representation nilpotent groups geometric quantization such manifolds closed infinite strip open strip morera type theorem parameter family continuous one complex plane real hypersurface e analytic discs several complex variables geometric partial differential equation

Notable Scholarly Works

Notable Federal Grants

Collaborators

Non-Linear Lie Groups That Can Be Realized as Automorphism Groups of Bounded Domains. Proceedings of the American Mathematical Society (2025)

George ShabatAlexander Tumanov

lie groupannotation encoding=applied mathematicslie algebratopologyfunction spacesalgebraic topologygeometric topologybounded domainmathematicslie theorymathematical sciences

Realizing Lie Groups as Automorphism Groups of Bounded Domains. arXiv (Cornell University) (2024)

Shabat, GeorgeTumanov, Alexander

lie groupnilpotent groupslie algebraoperator theorylie theorylie groupsgroup representationgroup theorybounded domainmathematicsrepresentation theorygeometry and topology

A Note on the Closed Range of $${\Bar{\Partial }}_B$$ on Q-Convex Manifolds. Complex Analysis and its Synergies (2020)

Luca BaraccoAlexander Tumanov

convex analysisgeometric analysisfunctional analysisq-convex manifoldsclosed rangemathematicsdifferential geometrygeometry and topology

Stationary Discs and Finite Jet Determination for Cr Mappings in Higher Codimension. Advances in Mathematics (2020)

Alexander Tumanov

stationary discscr mappingsnuclear astrophysicsastronomyplanetary sciencescomputational astrophysicsfinite jet determination

Gennadii Markovich Khenkin. Uspekhi Mat. Nauk (2017)

Alexander Tumanov

slavic languagesgennadii markovich khenkinsculptureasian studiesmendelian inheritance

Scarcity of Periodic Orbits in Outer Billiards. arXiv (Cornell University) (2017)

Alexander Tumanov

planar outer billiardapplied mathematicsperiod 4topologygeometryperiodic orbitspolyhedrondiscrete geometrymathematicsgeometry and topology

Scarcity of Periodic Orbits in Outer Billiards. Journal of Geometric Analysis (2017)

Alexander Tumanov

ergodic theorystatistical physicsperiodic travelling waveperiodic orbitsphysics

Commutators of Singular Integrals, the Bergman Projection, and Boundary Regularity of Elliptic Equations in the Plane. Mathematical Research Letters (2016)

Alexander Tumanov

elliptic equationsexplicit asymptotic formulacomplex function theorygeometric analysisfunctional analysisoperator theoryboundary regularitymathematicsbergman projectionelliptic function

Pseudoholomorphic Discs and Symplectic Structures in Hilbert Space. Contemporary mathematics - American Mathematical Society (2016)

Alexandre SukhovAlexander Tumanov

pseudoholomorphic discshamiltonian theoryapplied mathematicsgeometric analysissymplectic geometrycomplex analysismathematical analysiscomplex geometryhilbert spaceshilbert spacegeometric topologyhamiltonian systemmathematicsdifferential geometrygeometry and topologymathematical sciences

Symplectic Nonsqueezing in Hilbert Space and Discrete SchröDinger Equations. Journal of Fixed Point Theory and Applications (2016)

Alexandre SukhovAlexander Tumanov

hamiltonian theorysymplectic geometryapplied mathematicsgeometric quantizationfunction spacessymplectic nonsqueezinghamiltonian systemmathematicsnonlinear phenomenamathematical sciences

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Alexander Tumanov

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Alexander Tumanov 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

Alexander Tumanov

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Non-Linear Lie Groups That Can Be Realized as Automorphism Groups of Bounded Domains. Proceedings of the American Mathematical Society (2025)

George ShabatAlexander Tumanov

lie groupannotation encoding=applied mathematicslie algebratopologyfunction spacesalgebraic topologygeometric topologybounded domainmathematicslie theorymathematical sciences

Realizing Lie Groups as Automorphism Groups of Bounded Domains. arXiv (Cornell University) (2024)

Shabat, GeorgeTumanov, Alexander

lie groupnilpotent groupslie algebraoperator theorylie theorylie groupsgroup representationgroup theorybounded domainmathematicsrepresentation theorygeometry and topology

A Note on the Closed Range of $${\Bar{\Partial }}_B$$ on Q-Convex Manifolds. Complex Analysis and its Synergies (2020)

Luca BaraccoAlexander Tumanov

convex analysisgeometric analysisfunctional analysisq-convex manifoldsclosed rangemathematicsdifferential geometrygeometry and topology

Stationary Discs and Finite Jet Determination for Cr Mappings in Higher Codimension. Advances in Mathematics (2020)

Alexander Tumanov

stationary discscr mappingsnuclear astrophysicsastronomyplanetary sciencescomputational astrophysicsfinite jet determination

Gennadii Markovich Khenkin. Uspekhi Mat. Nauk (2017)

Alexander Tumanov

slavic languagesgennadii markovich khenkinsculptureasian studiesmendelian inheritance

Scarcity of Periodic Orbits in Outer Billiards. arXiv (Cornell University) (2017)

Alexander Tumanov

planar outer billiardapplied mathematicsperiod 4topologygeometryperiodic orbitspolyhedrondiscrete geometrymathematicsgeometry and topology

Scarcity of Periodic Orbits in Outer Billiards. Journal of Geometric Analysis (2017)

Alexander Tumanov

ergodic theorystatistical physicsperiodic travelling waveperiodic orbitsphysics

Commutators of Singular Integrals, the Bergman Projection, and Boundary Regularity of Elliptic Equations in the Plane. Mathematical Research Letters (2016)

Alexander Tumanov

elliptic equationsexplicit asymptotic formulacomplex function theorygeometric analysisfunctional analysisoperator theoryboundary regularitymathematicsbergman projectionelliptic function

Pseudoholomorphic Discs and Symplectic Structures in Hilbert Space. Contemporary mathematics - American Mathematical Society (2016)

Alexandre SukhovAlexander Tumanov

Symplectic Nonsqueezing in Hilbert Space and Discrete SchröDinger Equations. Journal of Fixed Point Theory and Applications (2016)

Alexandre SukhovAlexander Tumanov

hamiltonian theorysymplectic geometryapplied mathematicsgeometric quantizationfunction spacessymplectic nonsqueezinghamiltonian systemmathematicsnonlinear phenomenamathematical sciences

1
2
3
4
10 / page

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topology

Pierre Albin

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spectral theory

applied mathematics

Aimo Hinkkanen

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complex analysis

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