Orif Ibrogimov

Orif Ibrogimov

Honorary Research Associate

Department of Mathematics
University College London
Gower Street
London WC1E 6BT

E-mail: o.ibrogimov [ A T ] ucl.ac.uk

I am a postdoctoral researcher in mathematics. At the moment I am working in the research group of Prof. Dr. Alex Sobolev at UCL. My research is funded by an Early Postdoc.Mobility fellowship of the Swiss National Science Foundation.

I completed my PhD under the supervision of Prof. Dr. Christiane Tretter at University of Bern in Switzerland.


Research interests

Spectral theory, Block operator matrices, (Pseudo-) Differential operators, Functional analysis, Mathematical physics


Publications

Preprints

  1. Spectral analysis of the spin-boson Hamiltonian with two photons for arbitrary coupling
    O.O. Ibrogimov, submitted
    ArXiv:1801.06908

  2. Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling. II: the cases of bounded photon dispersion
    O.O. Ibrogimov

  3. Essential spectrum of non-self-adjoint block operator matrices due to singularity
    O.O. Ibrogimov and P. Siegl

Journal Papers

  1. On the spectrum of an operator in truncated Fock space
    O.O. Ibrogimov and C. Tretter, Operator Theory: Advances and Applications 263, 321-334 (2018)
    ArXiv:1612.05459

  2. Essential spectrum of non-self-adjoint singular matrix differential operators
    O.O. Ibrogimov, J. Math. Anal. Appl. 451(1), 473-496 (2017)
    ArXiv:1612.05193

  3. Essential spectrum of elliptic systems of pseudo-differential operators on L2(RN) L2(RN)
    O.O. Ibrogimov and C. Tretter, J. Pseudo-Differ. Oper. Appl. 8(2), 147-166 (2017)
    ArXiv:1703.06344

  4. Functional Equations and the Cauchy Mean Value Theorem
    Z.M. Balogh, O.O. Ibrogimov and B.S. Mityagin, Aequat. Math. 90, 683-697 (2016)
    ArXiv:1508.00329

  5. Analysis of the essential spectrum of singular matrix differential operators
    O.O. Ibrogimov, P. Siegl and C. Tretter, J. Differential Equations 260(4), 3881-3926 (2016)
    ArXiv:1512.00759

  6. Essential spectrum of systems of singular differential equations
    O.O. Ibrogimov, H. Langer, M. Langer and C. Tretter, Acta Sci. Math. (Szeged) 79 (3-4), 423-465 (2013)
    ArXiv:1307.5896


Recent & forthcoming talks


Useful links

London Analysis Seminar
King's College Analysis Seminar
Conferences in Spectral Theory and Mathematical Physics
International Mathematics Competition for University Students