# School of Mathematics

## Dr Gerasim Kokarev

Lecturer

Pure Mathematics

### Contact details

Room: 9.303

Tel: +44 (0)113 3430599

Email: G.Kokarev @ leeds.ac.uk

### Keywords

Spectral geometry

Extremal eigenvalue problems

Harmonic maps

Moduli spaces

### Useful links

## Publications

**Hassannezhad A, Kokarev G** Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds *Annali della Scuola Normale - Classe di Scienze*, **XVI**, 1049-1092, 2016

DOI:10.2422/2036-2145.201409_005

View abstract

**Hassannezhad A, Kokarev G, Polterovich I** Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound *Journal of Spectral Theory*, **6**, 807-835, 2016

DOI:10.4171/JST/143

View abstract

**Apostolov V, Jakobson D, Kokarev G** An extremal eigenvalue problem in Kähler geometry *Journal of Geometry and Physics*, **91**, 108-116, 2015

DOI:10.1016/j.geomphys.2015.01.008

View abstract

**Kokarev G** On multiplicity bounds for Schrödinger eigenvalues on Riemannian surfaces *Analysis and PDE*, **7**, 1397-1420, 2014

DOI:10.2140/apde.2014.7.1397

View abstract

**Kokarev G** Variational aspects of Laplace eigenvalues on Riemannian surfaces *Advances in Mathematics*, **258**, 191-239, 2014

DOI:10.1016/j.aim.2014.03.006

View abstract

**Karpukhin M, Kokarev G, Polterovich I** Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces *Annales de l'Institut Fourier*, **64**, 2481-2502, 2014

DOI:10.5802/aif.2918

View abstract

**Kokarev G** On geodesic homotopies of controlled width and conjugacies in isometry groups *Groups, Geometry, and Dynamics*, **7**, 911-929, 2013

DOI:10.4171/GGD/210

View abstract

**Kokarev G** Sub-Laplacian Eigenvalue Bounds on CR Manifolds *Communications in Partial Differential Equations*, **38**, 1971-1984, 2013

DOI:10.1080/03605302.2013.831447

View abstract

**Kokarev G** Curvature and bubble convergence of harmonic maps *Journal of Geometric Analysis*, **23**, 1058-1077, 2013

DOI:10.1007/s12220-011-9273-1

View abstract

**Kokarev G** On the concentration-compactness phenomenon for the first Schrodinger eigenvalue *Calculus of Variations and Partial Differential Equations*, **38**, 29-43, 2010

DOI:10.1007/s00526-009-0277-7

View abstract

**Kokarev G, Kotschick D** Fibrations and fundamental groups of Kähler-Weyl manifolds *Proceedings of the American Mathematical Society*, **138**, 997-1010, 2010

DOI:10.1090/S0002-9939-09-10110-7

View abstract

**Kokarev G, Nadirashvili N** On first Neumann eigenvalue bounds for conformal metrics. In *Around the research of Vladimir Maz'ya II*, **12**, 229-238, 2010

DOI:10.1007/978-1-4419-1343-2_10

View abstract

**Kokarev G** On pseudo-harmonic maps in conformal geometry *Proceedings of the London Mathematical Society*, **99**, 168-194, 2009

DOI:10.1112/plms/pdn056

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**Kokarev G** On the topology of the evaluation map and rational curves *International Journal of Mathematics*, **19**, 369-385, 2008

DOI:10.1142/S0129167X0800473X

View abstract

**Kokarev G** A note on Morse inequalities for harmonic maps with potential and their applications *Annals of Global Analysis and Geometry*, **33**, 101-113, 2008

DOI:10.1007/s10455-007-9073-9

View abstract

**Kokarev G, Kuksin S** Quasi-linear elliptic differential equations for mappings of manifolds, II *Annals of Global Analysis and Geometry*, **31**, 59-113, 2007

DOI:10.1007/s10455-006-9034-8

View abstract

**Kokarev G, Kuksin S** Quasilinear elliptic differential equations on mappings of manifolds. I. *St. Petersburg Math. J.*, **15**, 469-505, 2004

DOI:10.1090/S1061-0022-04-00818-0

**Kokarev G** The property of compactness of a quasilinearly perturbed equation of harmonic mappings. *Sbornik: Mathematics*, **194**, 1055-1068, 2003

DOI:10.1070/SM2003v194n07ABEH000754

**Kokarev G** On the compactness of the set of solutions of a quasilinearly perturbed equation of harmonic mappings. *Russian Mathematical Surveys*, **57**, 995-996, 2002

DOI:10.1070/RM2002v057n05ABEH000562

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