Papers and preprints:
Well-posedness of Keller-Segel systems on compact metric graphs
Joint with H. Shemtaga, W. Shen
[arXiv:2403.19747, 53 pages]The Duistermaat index and eigenvalue interlacing for self-adjoint extensions of a symmetric operator
Joint with G. Berkolaiko, G. Cox, Y. Latushkin
[arXiv:2311.06701, 35 pages]Stability and bifurcation for logistic Keller--Segel models on compact graphs
Joint with H. Shamtaga, W. Shen
[arXiv:2310.00756, 25 pages]Spectral properties of Schrödinger operators with locally $H^{−1}$ potentials
Joint with M. Lukic, X. Wang
[arXiv:2206.07079, 46 pages]Resolvent expansions for self-adjoint operators via boundary triplets
Joint with Y. Latushkin
Bulletin of the London Mathematical Society [https://doi.org/10.1112/blms.12706 , 23 pages]First-order asymptotic perturbation theory for extensions of symmetric operators
Joint with Y. Latushkin
[arXiv:2012.00247, 75 pages]Random Hamiltonians with arbitrary point interactions
Joint with D. Damanik, J. Fillman, M. Helman, J. Kesten
Journal of Differential Equations, 282, 104-126 (2021), [arXiv:1907.09530, 20 pages]Zero measure and singular continuous spectra for quantum graphs
Joint with D. Damanik, L. Fang
Annales Henri Poincaré, 21, 2167--2191 (2020), 25 pagesLocalization for Anderson models on metric and discrete tree graphs
Joint with D. Damanik, J. Fillman,
Mathematische Annalen, 376, 1337-1393 (2020), 57 pagesLimits of quantum graph operators with shrinking edges
Joint with G. Berkolaiko, Y. Latushkin,
Advances in Mathematics 352, 632–669 (2019), 38 pages [arXiv:1806.00561]Anderson localization for radial tree graphs with random branching numbers
Joint with D. Damanik,
Journal of Functional Analysis 277, 418–433 (2019), 16 pages [arXiv:1803.06037]
The Maslov index and the spectra of second order elliptic operators
Joint with Y. Latushkin,
Advances in Mathematics 329, 422–486 (2018), 65 pages [arXiv:1610.09765]The Morse and Maslov indices for Schrödinger operators
Joint with Y. Latushkin, A. Sukhtayev,
Journal d'Analyse Mathematique 135, 345–387 (2018), 43 pages [arXiv:1411.1656]An index theorem for Schrödinger operators on metric graphs
Joint with Y. Latushkin,
Analytic trends in mathematical physics, Contemp. Math. 741, 105-119 (2020) [arXiv:1809.09344, 15 pages]
A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions
Joint with M.S. Ashbaugh, F. Gesztesy, A. Laptev, M. Mitrea,
Advances in Mathematics 304, 1108–1155 (2017), 48 pages [arXiv:1605.01170]Counting spectrum via the Maslov index for one dimensional θ-periodic Schrödinger operators
Joint with C. K. R. T. Jones, Y. Latushkin,
Proceedings of the AMS 145, 363–377 (2017), 15 pages [arXiv:1510.05015]A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets
Joint with F. Gesztesy, A. Laptev, M. Mitrea, Mathematical Results in Quantum Mechanics, Proceedings of the QMath12 Conference, P.Exner, W. Knig, H. Neidhardt (eds), World Scientific, Singapore, 2015, pp. 3–29, 27 pages [arXiv:1403.3731]
My research profiles at: MathSciNet, GoogleScholar, ArXiv