The ubiquity of optimal spectral gaps

Project Information

UBIQGAP

Grant agreement ID: 949143

DOI

10.3030/949143

Project closed

EC signature date 26 August 2020

Start date 1 January 2021

End date 31 December 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 437 055,00

EU contribution

€ 1 437 055,00

Coordinated by

UNIVERSITY OF DURHAM
United Kingdom

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (12)

Near optimal spectral gaps for hyperbolic surfaces

Author(s): Will Hide; Michael Magee
Published in: Annals of Mathematics, Issue 6, 2023, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2023.198.2.6

A random cover of a compact hyperbolic surface has relative spectral gap 3/16−ε.

Author(s): Magee, M., Naud, F. & Puder, D.
Published in: Geometric and Functional Analysis, 2022, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-022-00602-x

Large-n asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces

Author(s): Will Hide, Joe Thomas
Published in: Communications in Mathematical Physics, Issue 406, 2025, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-025-05369-4

Explicit spectral gap for Schottky subgroups of $\mathrm{SL}(2,\mathbb{Z})$

Author(s): Irving Calderón, Michael Magee
Published in: Journal of the European Mathematical Society, 2025, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1610

The Asymptotic Statistics of Random Covering Surfaces

Author(s): Michael Magee; Doron Puder
Published in: Forum of Mathematics, Pi, 2023, Vol.11, pp.e15 [Peer Reviewed Journal], Issue 3, 2023, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.48550/arxiv.2003.05892

Quantum Unique Ergodicity for Cayley Graphs of Quasirandom Groups

Author(s): Michael Magee, Joe Thomas, Yufei Zhao
Published in: Communications in Mathematical Physics, 2023, ISSN 1432-0916
Publisher: Springer Nature
DOI: 10.1007/s00220-023-04801-x

Strongly convergent unitary representations of limit groups

Author(s): Larsen Louder, Michael Magee, Will Hide
Published in: Journal of Functional Analysis, Issue 288, 2025, Page(s) 110803, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110803

Short geodesics and small eigenvalues on random hyperbolic punctured spheres

Author(s): Will Hide, Joe Thomas
Published in: Commentarii Mathematici Helvetici, Issue 100, 2025, Page(s) 463-506, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/588

"SL<mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML""><mml:mrow><mml:msub><mml:mrow/> <mml:mn>4</mml:mn> </mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant=""bold"">Z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> is not purely matricial field"

Author(s): Michael Magee, Mikael de la Salle
Published in: Comptes Rendus. Mathématique, Issue 362, 2025, Page(s) 903-910, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.5802/crmath.617

Random unitary representations of surfacegroups, II : The large n limit

Author(s): Michael Magee
Published in: Geometry &amp; Topology, Issue 29, 2025, Page(s) 1237-1281, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2025.29.1237

Random Unitary Representations of Surface Groups I: Asymptotic expansions

Author(s): Michael Magee
Published in: Communications in Mathematical Physics, 2022, Vol.391(1), pp.119-171 [Peer Reviewed Journal], Issue 1, 2022, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04295-5

Core surfaces

Author(s): Magee, M. and Puder, D.
Published in: Geom Dedicata 216, 46 (2022), 2022, ISSN 0046-5755
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10711-022-00706-6