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Random Models in Arithmetic and Spectral Theory

Total Cost €


EC-Contrib. €






Project "RMAST" data sheet

The following table provides information about the project.


Organization address
address: RAMAT AVIV
city: TEL AVIV
postcode: 69978

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Total cost 1˙840˙625 €
 EC max contribution 1˙840˙625 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2017-ADG
 Funding Scheme ERC-ADG
 Starting year 2019
 Duration (year-month-day) from 2019-02-01   to  2024-01-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    TEL AVIV UNIVERSITY IL (TEL AVIV) coordinator 1˙840˙625.00


 Project objective

The proposal studies deterministic problems in the spectral theory of the Laplacian and in analytic number theory by using random models. I propose two projects in spectral theory on this theme, both with a strong arithmetic ingredient, the first about minimal gaps between the eigenvalues of the Laplacian, where I seek a fit with the corresponding quantities for the various conjectured universality classes (Poisson/GUE/GOE), and the second about curvature measures of nodal lines of eigenfunctions of the Laplacian, where I seek to determine the size of the curvature measures for the large eigenvalue limit. The third project originates in analytic number theory, on angular distribution of prime ideals in number fields, function field analogues and connections with Random Matrix Theory, where I raise new conjectures and problems on a very classical subject, and aim to resolve them at least in the function field setting.


year authors and title journal last update
List of publications.
2020 Bingrong Huang, Jianya Liu, Zeév Rudnick
Gaussian primes in almost all narrow sectors
published pages: 183-192, ISSN: 0065-1036, DOI: 10.4064/aa190331-23-7
Acta Arithmetica 193/2 2020-04-07
2019 Zeév Rudnick, Ezra Waxman
Angles of Gaussian primes
published pages: 159-199, ISSN: 0021-2172, DOI: 10.1007/s11856-019-1867-5
Israel Journal of Mathematics 232/1 2020-04-07
2021 Rudnick, Zeév; Zehavi, Sa\'ar
On Cilleruelo\'s conjecture for the least common multiple of polynomial sequences
published pages: , ISSN: 0213-2230, DOI:
Revista Matematica Iberoamericana 2020-04-07

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