Mostafa Sabri

Address:

Mathematics Division, Building A2, New York University Abu Dhabi, UAE.

Office A2-121.

Email : mostafa.sabri@nyu.edu

Brief Bio : I graduated from Cairo university in 2009, then I did my master and PhD in France (Paris 7 Denis-Diderot), under Anne Boutet de Monvel and Victor Chulaevsky, defending my thesis in 2014. I then became an assistant professor in Cairo in 2015. Afterwards I came back to France during 2016-2019 where I did two postdocs, the first in Strasbourg with Nalini Anantharaman. The second at Orsay, with Stéphane Nonnenmacher. I then came back to Cairo as faculty. I then moved to New York University, Abu Dhabi campus (NYUAD) in 2022, first spending a research year to work with Pierre Youssef, then as faculty in 2023.

Students and Postdocs:

Kiran Kumar - postdoc 2024-2026.

(Pre)-publications

Eigenvalues of Maximal Abelian Covers - With Wenbo Li, Michael Magee and Joe Thomas. arXiv link.
The curious spectra and dynamics of non-locally finite crystals - With Joachim Kerner, Olaf Post and Matthias Taüfer. Comm. Math. Phys. 406 (2025), 169. arXiv link.
Ergodic theorems for continuous-time quantum walks on crystal lattices and the torus - With Anne Boutet de Monvel. Ann. Henri Poincaré 26 (2025), 1733-1767. arXiv link.
Flat bands of periodic graphs - With Pierre Youssef. J. Math. Phys. 64, (2023). arXiv link.
Quantum ergodicity for periodic graphs - With Theo McKenzie. Comm. Math. Phys. 403 (2023), 1477-1509. arXiv link.
Dispersion for Schrödinger operators on regular trees - With Kaïs Ammari. Anal. Math. Phys. 12, article number: 56 (2022). arXiv link.
Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization - With Nalini Anantharaman, Maxime Ingremeau and Brian Winn. J. Math. Pures Appl. 151 (2021), 28-98. arXiv link.
Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit - With Nalini Anantharaman, Maxime Ingremeau and Brian Winn. J. Funct. Anal. 280 (2021), 108988. arXiv link.
Absolutely Continuous Spectrum for Quantum Trees - With Nalini Anantharaman, Maxime Ingremeau and Brian Winn. Comm. Math. Phys. 383 (2021), 537-594. arXiv link.
Lp norms and support of eigenfunctions on graphs - With Etienne Le Masson. Comm. Math. Phys. 374 (2020), 211-240 arXiv link.
Quantum ergodicity for large equilateral quantum graphs - With Maxime Ingremeau and Brian Winn. J. Lond. Math. Soc 101 (2020), 82-109. arXiv link.
Recent results of quantum ergodicity on graphs and further investigation - With Nalini Anantharaman. Ann. Fac. Sci. Toulouse Math. 28, (2019), 559-592. arXiv link.
Quantum ergodicity for the Anderson model on regular graphs - With Nalini Anantharaman. J. Math. Phys. 58, (2017). arXiv link.
Quantum ergodicity on graphs : from spectral to spatial delocalization - With Nalini Anantharaman. Ann. of Math. 189, (2019), 753-835. arXiv link.
Poisson kernel expansions for Schrödinger operators on trees - With Nalini Anantharaman. J. Spectr. Theory 9 (2019), 243-268. arXiv link.
Some abstract Wegner estimates with applications. Lett. Math. Phys. 104 (2014), 311-339. arXiv link.
Anderson Localization for a multi-particle quantum graph, Rev. Math. Phys. 26 (2014), 1350020. arXiv link.

Book Chapters and Conferences Proceedings:

Note: These papers consist of original results, they are neither summaries nor reviews.

Limiting distributions of ergodic continuous-time quantum walks on periodic graphs - With Anne Boutet de Monvel and Kiran Kumar A.S. To appear in the proceedings of the AMP 2024 conference. arXiv link.
Dispersion on certain Cartesian products of graphs - With Kaïs Ammari. In ``Control and Inverse Problems. The 2022 Spring Workshop in Monastir, Tunisia'', Trends. Math. (2023), 217-222. arXiv link.
Ballistic transport in periodic and random media - With Anne Boutet de Monvel. In ``From Complex Analysis to Operator Theory: A Panorama, In Memory of Sergey Naboko'', Oper. Theory Adv. Appl. 291 (2023), 163-216. arXiv link.

Lecture Notes

Principles of Mathematical Analysis (2nd year). Lecture notes.
Functional Analysis II (Graduate - Distributions, Fourier, Spectral). Lecture notes.
Benjamini-Schramm Convergence (Mini Course). Lecture notes .
Aspects of Delocalization (Mini Course). Lecture notes.
Probability Theory (2nd year (editor)) . Lecture notes .
Stochastic Processes. Lecture notes .
The Real Number System. Little text.

Activities

Referee for a number of international journals.
Reviewer for "Mathematical Reviews" (mathscinet).

List of reviews (posted here with permission from the AMS) as of May 2023.

Popularisation:

The Baker Map (First half tested on high school students.).

Introduction to graph spectra. Slides. Videos (in French): Part 1. Part 2.

Co-organized a one-month summer school in Cairo in 2019.
Co-organizer of the Analysis seminar in Cairo in 2020-2021. Seminar website:

https://sites.google.com/sci.cu.edu.eg/mathanalysis/seminar

Q&A for young researchers.

Manuscripts

My PhD thesis.
My "half-habilitation" for associate professorship (the future half being for professorship when the time comes).

Invited Talks

STROM Workshop, IRMA Strasbourg, France, 19-21/11/2025.
Mathematical Physics Seminar, Helsinki University, Finland, 15/10/2025.
Recent Advances in Disordered Systems (Workshop), Cergy, France, 7-9/04/2025.
Mathematics of Wave Phenomena, KIT Karlsruhe, Germany, 24-28/02/2025.
Spectra and Moduli Seminar, Durham, UK, 15/01/2025.
14th AIMS Conference, Abu Dhabi, 16/12/2024.
Forschungsseminar Angewandte Stochastik, Hagen University, 2/10/2024. (online)
Analysis and Mathematical Physics 2024. Online Conference organized by IIMAS, Mexico, 5-17/08/2024. Video.
European Congress of Mathematics (Minisymposium invited talk), Seville, Spain, 15-19/07/2024.
ICMP 2024 (Contributed Talk), Strasbourg, France, 1-6/07/2024.
Bridging the physics and mathematics of quantum many-body chaos, Helsinki, Finland, 24-28/06/2024.
Geometric and Harmonic Analysis, Joint Seminar of Paderborn and Aarhus universities, 16/01/2024. (online)
11th Miniworkshop on Operator Theoretic Aspects of Ergodic Theory, Wuppertal, Germany, 24-25/11/2023.
10th International Workshop of Quantum Simulation and Quantum Walks, Tsukuba, Japan, 10-12/11/2023.
Math Back to School Seminar Talks, NYUAD, 15/09/2023.
Forschungsseminars Analysis, Hagen University, 31/05/2023. (online). Slides.
Spectral Theory Seminar, Rice University, US, 26/10/2022. (online). Slides.
Spectral Geometry in the Clouds, 10/10/2022. (online). Video.
TAMU Probability and Mathematical Physics Seminar, US, 07/10/2022. (online)
Analysis & PDE working group at NYUAD, 23,30/9/2022.
Japanese mathematics seminar, 29/7/2022. (online)
The 34th conference of Topology and its Applications, Menoufia University, Egypt, 26/7/2022.
New Directions in Disordered Systems, in honor of Abel Klein, Cergy Paris University, 27/6/2022 - 1/7/2022. Slides.
RAW Graduate School, Cergy Paris University, France, 22-24/6/2022. Notes.
Conference: Control & Inverse Problems, Monastir, Tunisia, 09-11/5/2022.
Analysis Seminar, FernUniversität in Hagen, Germany, 02/02/2022. (online)
Dynamical Systems & Mathematical Physics Seminar, Jena University, Germany, 01/07/2021. (online).
Séminaire de l'équipe EDP Analyse Numérique, Université de Nice - Côte d'Azur, 10/06/2021. Slides. (online).
Mathematics Colloquium, New York University Abu Dhabi, 29/03/2021. Slides. (online).
Analysis Seminar, Cairo University, Egypt, 08/2/2021. Slides. (online).
Analysis Seminar, Cairo University, Egypt, 24/2/2020.
Conference : Spectra, Algorithms and Random Walks on Random Networks, CIRM, Marseille, 13/1/2020.
Workshop on Analysis and Applications, Cairo University, Egypt, 23/12/2019.
Three-day workshop on Mathematical Physics, Université Cergy-Pontoise, 12/9/2019.
Analysis Seminar, Cairo University, Egypt, 18/2/2019.
Manchester Analysis and Dynamics seminar, Manchester, UK, 12/11/2018.
Séminaire Problèmes Spectraux en Physique Mathématique (ex Séminaire tournant), IHP, Paris, 8/10/2018.
Séminaire de l'équipe Analyse, Strasbourg, 05/07/2018.
Séminaire de l'équipe AN-EDP, Orsay, 28/06/2018.
Conference : JPM Lyon 2018 : Quantum Chaos, Lyon, 21/06/2018.
Mathematical Physics Seminar, Bristol University, 09/03/2018.
Conference : Spectral geometry, graphs and semiclassical analysis, Aussois, 13/12/2017.
Conference : Discrete and continuous models in the theory of networks, ZIF, Bielefeld, Allemagne, 27/11/2017.
Journée de rentrée du Séminaire de l'équipe AN-EDP, Orsay, 05/10/2017.
Oberseminar: Analysis und Zufall , Munich, Allemagne, 9/05/2017.
Séminaire de Physique Mathématique, Grenoble, 16/01/2017.
Oberseminar Mathematische Physik und Dynamische Systeme, Dortmund, Allemagne, 10/01/2017.
Séminaire Problèmes Spectraux en Physique Mathématique (ex Séminaire tournant), IHP, Paris, 7/11/2016. Le Beamer.
Journée de rentrée du Séminaire d'Analyse, IRMA, Strasbourg, 20/9/2016.
Journée du Labex, IRMA, Strasbourg, 14/12/2015. Le Beamer.
Journée de rentrée du Séminaire d'Analyse, IRMA, Strasbourg, 8/10/2015.
Analysis Seminar, Cairo University, 2/3/2015.
Analysis Seminar, Cairo University, 20/10/2014.
Analysis on Graphs and Applications workshop, Royal Holloway, London, 10/01/2014. Notes of the talk.
Conférence Mathématiques des systèmes quantiques désordonnés, Université Paris 13, 29/05/2012.
Séminaire informel Bourbakettes, 22/03/2012. Notes de l'exposé.
Groupe de travail sur les problèmes spectraux et physique mathématique, Département de Mathématiques d'Orsay, 18/01/2012.

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