Visiting Assistant Professor, Department of Mathematical Sciences

Preprints

1. Rigidity in the planar Ulam floating body problem with perimetral densities σ=1/8,3/8 under central symmetry. (with M. Kosmakov and P. Zatitskii) (2026) (submitted)
2. Block-equivalent finite Gabor frames. (with L. De Carli and L. Rodriguez) (2026) (submitted)
3. Rigidity in the Planar Ulam Floating Body Problem with perimetral density σ=1/6. (with M. Kosmakov and P. Zatitskii) (2026) (submitted)

Published Research

1. Note on Robins' Conjecture in Dimension Four and Higher. Canadian Mathematical Bulletin. Published online 2026:1-6.
2. Methods of construction of exponential bases on planar domains. (with L. De Carli) Bulletin of the Malaysian Mathematical Sciences Society. (2026) 49:133.
3. Exponential Bases on Modified Domains. (2026) In: Recent Advances in Approximation and Potential Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham.
4. Concerning the stability of exponential systems and Fourier matrices. (with L. De Carli and W. Li) Journal of Fourier Analysis and Applications. 31, 67 (2025).
5. Existence and Non-existence of Ground State Solutions for Magnetic NLS. (with C. Leonard and S. Zheng) Applied Mathematical Analysis and Computations II. SGMC 2021. Springer Proceedings in Mathematics and Statistics. vol 472. Springer, Cham. (2024)
6. Additive stability of frames. (with J. Glidewell and L. Rodriguez) Sampling Theory, Signal Processing, and Data Analysis. 22, 20 (2024).
7. Examples of exponential bases on union of intervals. (with V. Drezels) Canadian Mathematical Bulletin. 66(2023), no. 4, 1296–1312.

Thesis

1. Construction of an exponential basis on some plane figures. (2025) Ph.D. Degree Advisor: Dr. L. De Carli.
2. On Global in Time Asymptotics for Nonlinear Schrödinger Equation with Angular Momentum. (2020) M.S. Degree Advisor: Dr. S. Zheng
3. Conditions of Gurov-Reshetnyak and the reverse Hölder inequality. (in russian) (2015). Specialist Degree Advisor: Dr. V. Krotov