I am a postdoctoral researcher in mathematics. At the moment I am working in the research group of Prof. Dr. David Krejcirik at CTU in Prague.
I completed my PhD under the supervision of Prof. Dr. Christiane Tretter at University of Bern in Switzerland.
Then I was a Honorary Research Associate at the Department of Mathematics at University College London where I worked in the research group of Prof. Dr. Alex Sobolev. My research was funded by an Early Postdoc.Mobility fellowship of the Swiss National Science Foundation.
Research interests
Spectral theory of nonselfadjoint operators, especially spectral analysis of systems of singular (partial) differential and integral operators; applications to mathematical physics.
Publications
Published Papers

Spectral analysis of the spinboson Hamiltonian with two photons for arbitrary coupling.
O.O. Ibrogimov, Ann. Henri Poincarè 19 (11), 3561–3579 (2018)
ArXiv:1801.06908

On the spectrum of an operator in truncated Fock space.
O.O. Ibrogimov and C. Tretter, Operator Theory: Advances and Applications 263, 321334 (2018)
ArXiv:1612.05459

Essential spectrum of nonselfadjoint singular matrix differential operators.
O.O. Ibrogimov, J. Math. Anal. Appl. 451(1), 473496 (2017)
ArXiv:1612.05193

Essential spectrum of elliptic systems of pseudodifferential operators.
O.O. Ibrogimov and C. Tretter, J. PseudoDiffer. Oper. Appl. 8(2), 147166 (2017)
ArXiv:1703.06344

Functional Equations and the Cauchy Mean Value Theorem.
Z.M. Balogh, O.O. Ibrogimov and B.S. Mityagin, Aequat. Math. 90, 683697 (2016)
ArXiv:1508.00329

Analysis of the essential spectrum of singular matrix differential operators.
O.O. Ibrogimov, P. Siegl and C. Tretter, J. Differential Equations 260(4), 38813926 (2016)
ArXiv:1512.00759

Essential spectrum of systems of singular differential equations.
O.O. Ibrogimov, H. Langer, M. Langer and C. Tretter, Acta Sci. Math. (Szeged) 79 (34), 423465 (2013)
ArXiv:1307.5896
Preprints

Discrete eigenvalues of the spinboson Hamiltonian with two photons: on a conjecture of Minlos and Spohn.
O.O. Ibrogimov (2019) ArXiv:1902.05549

Spectral analysis of the spinboson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation.
O.O. Ibrogimov (2018) ArXiv:1901.11534

Essential spectra of nonselfadjoint block operator matrices due to singularity.
O.O. Ibrogimov and P. Siegl (2018)
Recent & forthcoming talks
 13 November 2018, "Quantum Circle" – seminar of the Doppler Institute, Prague, Czech Republic.
 18 September 2018, "Mathematical analysis and its applications in Physics", Samarkand, Uzbekistan.
 11 June 2018, "10th Birman Conference in Spectral Theory", Euler Institute, Russia.
 20 February 2018, "Mathematical Challenges in Quantum Mechanics", Rome, Italy.
 25 January 2018, Applied Analysis Seminar, TU Darmstadt, Germany.
 31 October 2017, Functional Analysis Seminar, University of Oxford, UK.
 8 June 2017, "Mathematical aspects of the physics with nonselfadjoint operators", Marseille, France.
Useful links
Conferences in Spectral Theory and Mathematical Physics
International Mathematics Competition for University Students (IMC)
AlKhorezmi International Mathematical Olympiad for University Students (AKHIMO)