I am a postdoc member at the Institute for Advanced Study, Princeton. My field of research is mathematical physics.

Topics of Interest:

  • Quantum graphs

  • Quantum chaos

  • Spectral geometry

  • Generic properties of eigenfunctions



215 Simoni, Institute for Advanced Study, Princeton 


A Quantum Graph

This gif shows the evolution of a wave function on a quantum graph.
In this plot we see  |f(x,t)|^2  (the probability density) changing in time according to Schrödinger's equation, starting from a Gaussian of positive velocity.




Published work (or in press)

Cerenkov radiation from particles carrying orbital angular momentum in a cylindrical waveguide

Y Shapira, M Mutzafi, G Harari, I Kaminer, L Alon, M Segev

2016 Conference on Lasers and Electro-Optics (CLEO), 1-2

Nodal statistics on quantum graphs

L Alon, R Band, G Berkolaiko

Communications in Mathematical Physics 362 (3), 909-948. arXiv 1709.10413

Neumann domains on graphs and manifolds

L Alon, R Band, M Bersudsky, S Egger

Analysis and Geometry on Graphs and Manifolds 461, 203. arXiv 1805.07612

Yet to be published (but on arXiv)

Neumann domains on quantum graphs

L Alon, R Band

arXiv 1911.12435

Ph.D. thesis

Quantum graphs - Generic eigenfunctions and their nodal count and Neumann count statistics

L Alon

arXiv 2010.03004


Related Images

By clicking on each image you can see its description and a link to the relevant poster

Secular manifold
secular manifold
secular manifold
An eigenfunction on a graph

Teaching (T.A) Notes

Calculus 2

חדו"א 2ת

בלינק הבא תמצאו את התירגולים שלי בחדוא 2ת.  תירגלתי את הקורס בשנים 2015-2019

You can find my tutorial notes in the following link. These are in Hebrew

Complex Analysis

תורת הפונקציות (פונקציות מרוכבות)

בלינק הבא תמצאו את התירגולים שלי בתורת הפונקציות. תירגלתי את הקורס בחורף 18\19

You can find my tutorial notes in the following link.



Institute for Advanced study

Office: S-215
Home Address: 110 Oppenheimer Lane
Email: lalon@ias.edu

Secondary Email:


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secular manifold

A linear flow on the torus piercing the secular manifold of a graph. Colors indicating magnetic stability.

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