Michael Levitin
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+44 (0) 118 378 8997
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Professor
Departmental Research Committee
Office
Room 303Building location
MathematicsAreas of interest
- Spectral theory, in particular spectral geometry, and applications
Research centres and groups
Background
University of Sussex 1992-1993
Heriot-Watt University 1993-2007
Cardiff University 2007-2010
University of Reading 2010-
Academic qualifications
MSc Moscow Institute of Physics and Technology 1986
PhD Moscow Institute of Physics and Technology 1989
Professional bodies/affiliations
London Mathematical Society
Websites/blogs
Publications
- Levitin, M. , Mangoubi, D. , Polterovich, I. (2023) Topics in spectral geometry. Graduate Studies in Mathematics American Mathematical Society (In Press)
- Filonov, N. , Levitin, M. , Polterovich, I. , Sher, D. (2023) Pólya's conjecture for Euclidean balls. Inventiones Mathematicae ISSN: 1432-1297 | doi: https://dx.doi.org/10.1007/s00222-023-01198-1
- Capoferri, M. , Friedlander, L. , Levitin, M. , Vassiliev, D. (2023) Two-term spectral asymptotics in linear elasticity. Journal of Geometric Analysis , 33 (8). ISSN: 1050-6926 | doi: https://dx.doi.org/10.1007/s12220-023-01269-y
- Levitin, M. , Parnovski, L. , Polterovich, I. , Sher, D. (2022) Sloshing, Steklov and corners: asymptotics of Steklov eigenvalues for curvilinear polygons. Proceedings of the London Mathematical Society , 125 (3). pp. 359-487. ISSN: 1460-244X | doi: https://dx.doi.org/10.1112/plms.12461
- Girouard, A. , Karpukhin, M. , Levitin, M. , Polterovich, I. (2022) The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript. Journal of Spectral Theory , 12 (1). pp. 195-225. ISSN: 1664-0403 | doi: https://dx.doi.org/10.4171/JST/399
- Capoferri, M. , Levitin, M. , Vassiliev, D. (2022) Geometric wave propagator on Riemannian manifolds. Communications in Analysis and Geometry , 30 (8). pp. 1713-1777. ISSN: 1944-9992 | doi: https://dx.doi.org/10.4310/CAG.2022.v30.n8.a2
- Levitin, M. , Monk, P. , Selgas, V. (2021) Impedance eigenvalues in linear elasticity. SIAM Journal on Applied Mathematics (SIAP) , 81 (6). pp. 2433-2456. ISSN: 0036-1399 | doi: https://dx.doi.org/10.1137/21M1412955
- Krymski, S. , Levitin, M. , Parnovski, L. , Polterovich, I. , Sher, D. (2021) Inverse Steklov spectral problem for curvilinear polygons. International Mathematics Research Notices , 2021 (1). pp. 1-37. ISSN: 1687-0247 | doi: https://dx.doi.org/10.1093/imrn/rnaa200
- Levitin, M. and Strohmaier, A. (2021) Computations of eigenvalues and resonances on perturbed hyperbolic surfaces with cusps. International Mathematics Research Notices , 2021 (6). pp. 4003-4050. ISSN: 1687-0247 | doi: https://dx.doi.org/10.1093/imrn/rnz157
- Levitin, M. , Parnovski, L. , Polterovich, I. , Sher, D. (2021) Sloshing, Steklov and corners: asymptotics of sloshing eigenvalues. Journal d'Analyse Mathématique ISSN: 0021-7670 | doi: https://dx.doi.org/10.1007/s11854-021-0188-x
- Fang, Y. , Levitin, M. , Vassiliev, D. (2018) Spectral analysis of the Dirac operator on a 3-sphere. Operators and Matrices , 12 (2). pp. 501-527. ISSN: 1848-9974 | doi: https://dx.doi.org/10.7153/oam-2018-12-31
- Levitin, M. and Ozturk, H. (2018) A two-parameter eigenvalue problem for a class of block-operator matrices. In: Böttcher, A. , Potts, D. , Stollmann, P. , Wenzel, D. , (eds.) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications Springer (268). , Basel. pp. 367-380. ISBN: 9783319759951 | doi: https://dx.doi.org/10.1007/978-3-319-75996-8_19
- Gower, A. , Hassannezhad, A. , Jakobson, D. , Levitin, M. (2016) Zero and negative eigenvalues of the conformal Laplacian. Journal of Spectral Theory , 6 (4). pp. 793-806. ISSN: 1664-0403 | doi: https://dx.doi.org/10.4171/JST/142
- Levitin, M. and Seri, M. (2016) Accumulation of complex eigenvalues of an indefinite Sturm--Liouville operator with a shifted Coulomb potential. Operators and Matrices , 10 (1). pp. 223-245. ISSN: 1848-9974 | doi: https://dx.doi.org/10.7153/oam-10-14
- Davies, E. and Levitin, M. (2014) Spectra of a class of non-self-adjoint matrices. Linear Algebra and its Applications , 448 pp. 55-84. ISSN: 0024-3795 | doi: https://dx.doi.org/10.1016/j.laa.2014.01.025
- Elton, D. , Levitin, M. , Polterovich, I. (2013) Eigenvalues of a one-dimensional Dirac operator pencil. Annales Henri Poincaré , 15 (12). pp. 2321-2377. ISSN: 1424-0661 | doi: https://dx.doi.org/10.1007/s00023-013-0304-2
- Downes, R. , Levitin, M. , Vassiliev, D. (2013) Spectral asymmetry of the massless Dirac operator on a 3-torus. Journal of Mathematical Physics , 54 (11). ISSN: 0022-2488 | doi: https://dx.doi.org/10.1063/1.4828858
- Levitin, M. and Vassiliev, D. (2010) Victor Borisovich Lidskii (1924-2008). Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences Amrican Mathematical Society (231). , Providence, RI. pp. 1-6. ISBN: 9780821852729
- Levitin, M. , Sobolev, A. , Sobolev, D. (2010) On the near periodicity of eigenvalues of Toeplitz matrices. Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences American Mathematical Society (231). , Providence, RI. pp. 115-126. ISBN: 9780821852729
- Boulton, L. , Levitin, M. , Marletta, M. (2010) On a class of nonselfadjoint periodic boundary value problems with discrete real spectrum. Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences American Mathematical Society (231). , Providence, RI. pp. 59-66. ISBN: 9780821852729
- Boulton, L. , Levitin, M. , Marletta , M. (2010) On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities. Journal of Differential Equations , 249 (12). pp. 3081-3098. ISSN: 0022-0396 | doi: https://dx.doi.org/10.1016/j.jde.2010.08.010
- Levitin, M. and Vassiliev, D. , eds. (2010) Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008). American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences , 231. American Mathematical Society , Providence, RI. pp 180. ISBN: 9780821852729
- Benguria, R. , Levitin, M. , Parnovski, L. (2009) Fourier transform, null variety, and Laplacian's eigenvalues. Journal of Functional Analysis , 257 (7). pp. 2088-2123. ISSN: 0022-1236 | doi: https://dx.doi.org/10.1016/j.jfa.2009.06.022
- Marletta, M. and Levitin, M. (2008) A simple method of calculating eigenvalues and resonances in domains with infinite regular ends. Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 138 (5). pp. 1043-1065. ISSN: 0308-2105 | doi: https://dx.doi.org/10.1017/S0308210506001144
- Levitin, M. and Parnovski, L. (2008) On the principal eigenvalue of a Robin problem with a large parameter. Mathematische Nachrichten , 281 (2). pp. 272-281. ISSN: 0025-584X | doi: https://dx.doi.org/10.1002/mana.200510600