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RMAST SIGNED

Random Models in Arithmetic and Spectral Theory

Total Cost €

EC-Contrib. €

Partnership

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RMAST project word cloud

Explore the words cloud of the RMAST project. It provides you a very rough idea of what is the project "RMAST" about.

nodal classes prime theory least poisson eigenfunctions curvature conjectured setting deterministic eigenvalue function originates arithmetic eigenvalues models analytic first angular gaps connections conjectures matrix minimal ideals analogues corresponding limit goe random size quantities seek ingredient universality gue lines spectral subject fit laplacian theme resolve

Project "RMAST" data sheet

The following table provides information about the project.

Coordinator	TEL AVIV UNIVERSITY Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 website: http://www.tau.ac.il/ 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

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	TEL AVIV UNIVERSITY TEL AVIV UNIVERSITY Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 website: http://www.tau.ac.il/ contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IL (TEL AVIV)	coordinator	1˙840˙625.00

Map

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.

Publications

List of publications.
year	authors and title	journal	last update
2020	Bingrong Huang, Jianya Liu, ZeÃ©v 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	ZeÃ©v 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, ZeÃ©v; 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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