RMAST SIGNED
Random Models in Arithmetic and Spectral Theory
Total Cost €
0EC-Contrib. €
0Partnership
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0RMAST project word cloud
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Project "RMAST" data sheet
The following table provides information about the project.
| Coordinator |
TEL AVIV UNIVERSITY
Organization address contact info |
| 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.
| # | ||||
|---|---|---|---|---|
| 1 | TEL AVIV UNIVERSITY | 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
| year | authors and title | journal | last update |
|---|---|---|---|
| 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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