I am a postdoctoral researcher at the Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University. I obtained my PhD in September 2023 under the supervision of Professor Mikhail Dyachenko at Lomonosov Moscow State University and in March 2024 I concluded another PhD program under the supervision of Professor Sergey Tikhonov at Autonomous University of Barcelona.

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Research interests:

• Harmonic analysis
• Number theory
• Combinatorics

List of Publications:

2024 K. Oganesyan, “Quadratic spectral concentration of characteristic functions”, arXiv.
2024 K. Oganesyan, “Bounds for the number of multidimensional partitions”, Eur. J. Comb., 120(2024), 103982, DOI, arXiv.
2023 K. Oganesyan, “Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients”, J. Fourier Anal. Appl., 29 (2023), 60, DOI, arXiv.
2023 K. Oganesyan, “Univalence of T-symmetric Suffridge type polynomials of degree 3T +1”, arXiv.
2023 M.I. Dyachenko, K.A. Oganesyan, “Counterexamples to the Hardy–Littlewood theorem for generalized monotone sequences”, Math. Notes, 113(3) (2023), 458–463, DOI.
2022 K. Oganesyan, “Cosine polynomials with restrictions on their algebraic representation”, J. Approx. Theory, 281–282 (2022), 105802, DOI, arXiv.
2021 K. Oganesyan, “John-Nirenberg inequality for Riemann type series”, arXiv, to appear in Math. Notes.
2021 K. Oganesyan, “Uniform convergence criterion for non-harmonic sine series”, Sb. Math., 212(1)(2021), 70–110, DOI, arXiv.
2020 K. Oganesyan, “The sets of positivity of sine series with monotone coefficients”, Acta Math. Hungar., 162(2) (2020), 705–721, DOI.
2020 K. Oganesyan, “A functional inequality for sine series”, Math. Notes, 107(3) (2020), 531–533, DOI.
2018 K. Oganesyan, “The measure of the set of zeros of the sum of a nondegenerate sine series with monotone coefficients in the closed interval [0, π]”, Math. Notes, 103(4) (2018), 621–625, DOI.
2018 K. Oganesyan, “Generalized double Fourier sine series”, Moscow Univ. Math. Bull., 73(1)(2018), 9–16, DOI.