Leonid Kovalev

Work

Syracuse University

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Professor

US

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Texas A&M University

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Visiting Assistant Professor

US

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Education

Washington University in Saint Louis

United States of America
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Ph.D.

Publications

A sharp bound on the number of self-intersections of a trigonometric curve

Journal of Mathematical Analysis and Applications

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Anti-absorbing ternary operations on metric spaces

Topology and its Applications

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Anti-absorbing ternary operations on metric spaces

Topology and its Applications

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A sharp bound on the number of self-intersections of a trigonometric curve

Journal of Mathematical Analysis and Applications

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Lipschitz means and mixers on metric spaces

Illinois Journal of Mathematics

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SELF-INTERSECTIONS OF LAURENT POLYNOMIALS AND THE DENSITY OF JORDAN CURVES

Proceedings of the American Mathematical Society

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Continuity of logarithmic capacity

Journal of Mathematical Analysis and Applications

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Lipschitz Clustering in Metric Spaces

Journal of Geometric Analysis

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Lipschitz Clustering in Metric Spaces

The Journal of Geometric Analysis

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Continuity of logarithmic capacity

Journal of Mathematical Analysis and Applications

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Extreme values of the derivative of Blaschke products and hypergeometric polynomials

Bulletin des Sciences Mathematiques

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Extreme values of the derivative of Blaschke products and hypergeometric polynomials

Bulletin des Sciences Mathématiques

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Growth rate of Lipschitz constants for retractions between finite subset spaces

Studia Mathematica

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ALGEBRAIC STRUCTURE OF THE RANGE OF A TRIGONOMETRIC POLYNOMIAL

Bulletin of the Australian Mathematical Society

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Algebraic structure of the range of a trigonometric polynomial

Bulletin of the Australian Mathematical Society

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Algebraic structure of the range of a trigonometric polynomial

Bulletin of the Australian Mathematical Society

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Circle embeddings with restrictions on Fourier coefficients

Journal of Mathematical Analysis and Applications

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Circle embeddings with restrictions on Fourier coefficients

Journal of Mathematical Analysis and Applications

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Circle embeddings with restrictions on Fourier coefficients

Journal of Mathematical Analysis and Applications

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Near-isometric duality of Hardy norms with applications to harmonic mappings

Journal of Mathematical Analysis and Applications

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Near-isometric duality of Hardy norms with applications to harmonic mappings

Journal of Mathematical Analysis and Applications

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Near-isometric duality of Hardy norms with applications to harmonic mappings

Journal of Mathematical Analysis and Applications

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Optimal extension of Lipschitz embeddings in the plane

Bulletin of the London Mathematical Society

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Fourier Series of Circle Embeddings

Computational Methods and Function Theory

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Fourier Series of Circle Embeddings

Computational Methods and Function Theory

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Optimal extension of Lipschitz embeddings in the plane

Bulletin of the London Mathematical Society

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Removable sets for intrinsic metric and for holomorphic functions

Journal d'Analyse Mathematique

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Removable sets for intrinsic metric and for holomorphic functions

Journal d'Analyse Mathematique

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Uniform convergence of Green’s functions

Complex Variables and Elliptic Equations

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Uniform convergence of Green’s functions

Complex Variables and Elliptic Equations

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On the existence of harmonic mappings between doubly connected domains

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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On the existence of harmonic mappings between doubly connected domains

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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Symmetrization and extension of planar bi-Lipschitz maps

Annales Academiae Scientiarum Fennicae Mathematica

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Symmetrization and extension of planar bi-Lipschitz maps

Annales Academiae Scientiarum Fennicae Mathematica

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Conformal Contractions and Lower Bounds on the Density of Harmonic Measure

Potential Analysis

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Conformal Contractions and Lower Bounds on the Density of Harmonic Measure

Potential Analysis

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Conformal Contractions and Lower Bounds on the Density of Harmonic Measure

Potential Analysis

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Lipschitz retraction of finite subsets of Hilbert spaces

Bulletin of the Australian Mathematical Society

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Lipschitz retraction of finite subsets of Hilbert spaces

Bulletin of the Australian Mathematical Society

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Lipschitz retractions in Hadamard spaces via gradient flow semigroups

Canadian Mathematical Bulletin

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Lipschitz retractions in Hadamard spaces via gradient flow semigroups

Canadian Mathematical Bulletin

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Symmetric products of the line: Embeddings and retractions

Proceedings of the American Mathematical Society

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Symmetric products of the line

Proceedings of the American Mathematical Society

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Bi-lipschitz embedding of projective metrics

Conformal Geometry and Dynamics

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Bi-lipschitz embedding of projective metrics

Conformal Geometry and Dynamics

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The Hopf-Laplace equation: Harmonicity and regularity

Annali della Scuola normale superiore di Pisa - Classe di scienze

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The Hopf-Laplace equation

Annali della Scuola normale superiore di Pisa - Classe di scienze

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Lipschitz regularity for inner-variational equations

Duke Mathematical Journal

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Lipschitz regularity for inner-variational equations

Duke Mathematical Journal

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Hopf differentials and smoothing sobolev homeomorphisms

International Mathematics Research Notices

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Approximation up to the boundary of homeomorphisms of finite Dirichlet energy

Bulletin of the London Mathematical Society

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Approximation up to the boundary of homeomorphisms of finite Dirichlet energy

Bulletin of the London Mathematical Society

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Doubly connected minimal surfaces and extremal harmonic mappings

Journal of Geometric Analysis

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Doubly connected minimal surfaces and extremal harmonic mappings

Journal of Geometric Analysis

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Hopf differentials and smoothing sobolev homeomorphisms

International Mathematics Research Notices

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Quasisymmetric graphs and Zygmund functions

Journal d'Analyse Mathematique

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Quasisymmetric graphs and Zygmund functions

Journal d'Analyse Mathematique

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Sharp distortion growth for bilipschitz extension of planar maps

Conformal Geometry and Dynamics

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Sharp distortion growth for bilipschitz extension of planar maps

Conformal Geometry and Dynamics

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The nitsche conjecture

Journal of the American Mathematical Society

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An N-dimensional version of the Beurling-Ahlfors extension

Annales Academiae Scientiarum Fennicae Mathematica

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Area contraction for harmonic automorphisms of the disk

Bulletin of the London Mathematical Society

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Area contraction for harmonic automorphisms of the disk

Bulletin of the London Mathematical Society

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Diffeomorphic Approximation of Sobolev Homeomorphisms

Archive for Rational Mechanics and Analysis

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Diffeomorphic Approximation of Sobolev Homeomorphisms

Archive for Rational Mechanics and Analysis

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Dynamics of Quasiconformal fields

Journal of Dynamics and Differential Equations

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Dynamics of Quasiconformal fields

Journal of Dynamics and Differential Equations

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Existence of energy-minimal diffeomorphisms between doubly connected domains

Inventiones Mathematicae

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Existence of energy-minimal diffeomorphisms between doubly connected domains

Inventiones Mathematicae

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On invertibility of sobolev mappings

Journal fur die Reine und Angewandte Mathematik

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On invertibility of sobolev mappings

Journal fur die Reine und Angewandte Mathematik

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An N-dimensional version of the Beurling-Ahlfors extension

Annales Academiae Scientiarum Fennicae Mathematica

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Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames

Operators and Matrices

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Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames

Operators and Matrices

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The harmonic mapping problem and affine capacity

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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The harmonic mapping problem and affine capacity

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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The nitsche conjecture

Journal of the American Mathematical Society

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Invertibility of Sobolev mappings under minimal hypotheses

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

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Harmonic mappings of an annulus,nitsche conjecture and its generalizations

American Journal of Mathematics

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Harmonic mappings of an annulus,nitsche conjecture and its generalizations

American Journal of Mathematics

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Invertibility of Sobolev mappings under minimal hypotheses

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

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On injectivity of quasiregular mappings

Proceedings of the American Mathematical Society

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On injectivity of quasiregular mappings

Proceedings of the American Mathematical Society

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Variation of quasiconformal mappings on lines

Studia Mathematica

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Variation of quasiconformal mappings on lines

Studia Mathematica

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A geometric approach to accretivity

Studia Mathematica

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Quasiconformal geometry of monotone mappings

Journal of the London Mathematical Society

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A geometric approach to accretivity

Studia Mathematica

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Doubling measures, monotonicity, and quasiconformality

Mathematische Zeitschrift

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Doubling measures, monotonicity, and quasiconformality

Mathematische Zeitschrift

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Quasiconformal geometry of monotone mappings

Journal of the London Mathematical Society

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Conformal dimension does not assume values between zero and one

Duke Mathematical Journal

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Conformal dimension does not assume values between zero and one

Duke Mathematical Journal

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Comparison theorems for the one-dimensional Schrödinger equation

Arkiv for Matematik

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Comparison theorems for the one-dimensional Schrödinger equation

Arkiv for Matematik

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Mappings with convex potentials and the quasiconformal Jacobian problem

Illinois Journal of Mathematics

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Mappings with convex potentials and the quasiconformal Jacobian problem

Illinois Journal of Mathematics

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On Hölder regularity for elliptic equations of non-divergence type in the plane

Annali della Scuola Normale - Classe di Scienze

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On Hölder regularity for elliptic equations of non-divergence type in the plane

Annali della Scuola Normale - Classe di Scienze

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Holder spaces of quasiconformal mappings

Publications de l'Institut Mathematique

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Quasiregular mappings of maximal local modulus of continuity

Annales Academiae Scientiarum Fennicae Mathematica

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Quasiregular mappings of maximal local modulus of continuity

Annales Academiae Scientiarum Fennicae Mathematica

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Monotonicity of the generalized reduced modulus

Journal of Mathematical Sciences

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Estimates of conformal radius and distortion theorems for univalent functions

Journal of Mathematical Sciences

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Estimates of conformal radius and distortion theorems for univalent functions

Journal of Mathematical Sciences

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The reduced module of the complex sphere

Journal of Mathematical Sciences

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Domains with convex hyperbolic radius

Acta Mathematica Universitatis Comenianae

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The reduced module of the complex sphere

Journal of Mathematical Sciences

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