#### Publications & Preprints

*2022:*

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

*2021:*

G. Mograby, M. Derevyagin, G. Dunne, and A. Teplyaev,**Spectra of perfect state transfer Hamiltonians on fractal-like graphs****Journal of Physics A: Mathematical and Theoretical**54(12), 125301 (2021), DOI: 10.1088/1751-8121/abc4b9.G. Mograby, M. Derevyagin, G. Dunne, and A. Teplyaev,**Hamiltonian systems, Toda lattices, Solitons, Lax Pairs on weighted Z-graded graphs****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.B. Hungar, G. Mograby, M. Phelps, L. Rogers, and J. Wheeler, arXiv:2107.02697, 2021 (submitted).*Spectra of three-peg Hanoi towers graphs*

*2020:*

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

L. Brown, G. Ferrer, G. Mograby, L. Rogers, and K. Sangam,**Harmonic Gradients on Higher Dimensional Sierpinski Gaskets****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. - Jun 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) Jun 2014:
*5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals*, Cornell University, USA*(Talk title “Anderson localization on the Sierpinski triangle”)*