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 $L2\left(RN\right)\oplus L2\left(RN\right)$
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

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