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.
Spectral theory, Block operator matrices, (Pseudo-) Differential operators, Functional analysis, Mathematical physics
Spectral analysis of the spin-boson Hamiltonian with two photons for arbitrary coupling
O.O. Ibrogimov, submitted
Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling. II: the cases of bounded photon dispersion
Essential spectrum of non-self-adjoint block operator matrices due to singularity
O.O. Ibrogimov and P. Siegl
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)
Essential spectrum of non-self-adjoint singular matrix differential operators
O.O. Ibrogimov, J. Math. Anal. Appl. 451(1), 473-496 (2017)
Essential spectrum of elliptic systems of pseudo-differential operators on
L 2(R N)
L 2(R N)
O.O. Ibrogimov and C. Tretter, J. Pseudo-Differ. Oper. Appl. 8(2), 147-166 (2017)
Functional Equations and the Cauchy Mean Value Theorem
Z.M. Balogh, O.O. Ibrogimov and B.S. Mityagin, Aequat. Math. 90, 683-697 (2016)
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)
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)
Recent & forthcoming talks
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 non-self-adjoint operators", Marseille, France.
23 February 2017, Analysis Seminar, Kings College London, UK.
London Analysis Seminar
King's College Analysis Seminar
Conferences in Spectral Theory and Mathematical Physics
International Mathematics Competition
for University Students