Publications & Conferences

Publications & Preprints

2022:

• Quantitative approach to Grover’s quantum walk on graphs, G. Mograby, R. Balu, K. Okoudjou, A. Teplyaev, arXiv:2207.01686, 2022 (submitted).
• Gaps labeling theorem for the Bubble-diamond self-similar graphs, E. Melville, G. Mograby, N. Nagabandi, L. Rogers and A. Teplyaev, arXiv:2204.11401, 2022 (submitted).
• Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs, G. Mograby, R. Balu, K. Okoudjou, A. Teplyaev, arXiv:2201.05693, 2022 (submitted).
• Spectral decimation of a self-similar version of almost Mathieu-type operators G. Mograby, R. Balu, K. Okoudjou, A. Teplyaev, Journal of Mathematical Physics, 63, 053501 (2022), DOI:10.1063/5.0078939.

2021:

• Spectra of perfect state transfer Hamiltonians on fractal-like graphs G. Mograby, M. Derevyagin, G. Dunne, and A. Teplyaev, Journal of Physics A: Mathematical and Theoretical 54(12), 125301 (2021), DOI: 10.1088/1751-8121/abc4b9.
• Hamiltonian systems, Toda lattices, Solitons, Lax Pairs on weighted Z-graded graphs G. Mograby, M. Derevyagin, G. Dunne, and A. Teplyaev, Journal of Mathematical Physics 62, 042204 (2021), DOI: 10.1063/5.0025475.
• Discretization of the Koch Snowflake Domain with Boundary and Interior Energies
  M. Gabbard, C. Lima, G. Mograby, L. Rogers, A. Teplyaev. In “Fractals in Engineering: Theoretical Aspects and Numerical Approximations”, M.Lancia and A. Rozanova-Pierrat, Springer International Publishing, pp. 79–102 (2021), DOI:10.1007/978-3-030-61803-2.
• Spectra of three-peg Hanoi towers graphs B. Hungar, G. Mograby, M. Phelps, L. Rogers, and J. Wheeler, arXiv:2107.02697, 2021 (submitted).

2020:

• Perfect quantum state transfer on diamond fractal graphs M. Derevyagin, G. Mograby, G. Dunne, and A. Teplyaev, Quantum Information Processing 19, 328 (2020), DOI: 10.1007/s11128-020-02828-w.

• Harmonic Gradients on Higher Dimensional Sierpinski Gaskets
  L. Brown, G. Ferrer, G. Mograby, L. Rogers, and K. Sangam, Fractals 28(6), 2050108 (2020), DOI: 10.1142/S0218348X2050108X.

Selected Conferences, Workshops & Talks

• (Invited talk) Nov 2022: “Mathematical Physics and Harmonic Analysis Seminar“, Texas A&M, USA (Talk title “TBA”).
• Jul 2022: “Qiskit Global Summer School 2022 on Quantum Simulations” hosted by IBM Quantum.
• (Invited talk) Jul 2022: “IBM/Tufts Quantum Computing Workshop“, Tufts University, USA (Talk title “Quantum walks on graphs”).
• (Invited talk) Jun 2022: “7th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals“, Cornell University, USA (Talk title “Gaps labeling theorem for Diamond self-similar graphs”).
• (Invited talk) Mar 2022: Quantum Computing Workshop, Uconn SIAM Student Chapter (Talk title “Graphs in quantum information theory”).
• (Invited talk) Mar 2022: Spring Eastern Sectional Meeting “special session on quantum probability, orthogonal polynomials, and special functions“, formerly at Tufts University (Talk title “Classical and quantum mechanical models on graphs”).
• May 2021: Workshop “Quasi-periodic spectral and topological analysis” University of Connecticut & Tufts University, USA.
• May 2018: Workshop “Transport and localization in random media: theory and applications” Columbia University, USA.
• Aug 2017: Co-organizer of “5th Northeast Mathematics Undergraduate Research Mini-Symposium” University of Connecticut, USA.
• June 2017: “6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals“, Cornell University, USA.
• Mar 2015: “Winter School on Diffusion on Fractals and Non-linear Dynamics“, University of Bremen, Germany.
• (Invited talk) June 2014: “5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals“, Cornell University, USA (Talk title “Anderson localization on the Sierpinski triangle”)