Staff profile
Overview
Professor Michael Magee
Professor, Geometry
Affiliation | Telephone |
---|---|
Professor, Geometry in the Department of Mathematical Sciences | +44 (0) 191 33 43096 |
Biography
I obtained my Ph.D. in 2014 under the supervision of Alex Gamburd at U.C. Santa Cruz, and had postdoctoral positions at I.A.S. Princeton and Yale University.
I'm interested in problems in geometry, random matrix theory, operator algebras, dynamics, and number theory.
I am from Northern Ireland.
Research interests
- Dynamics
- Number Theory
- Spectral Theory
Esteem Indicators
- 2023: Von Neumann Fellowship, IAS Princeton:
- 2023: Philip Leverhulme Prize:
- 2021: ERC Starting Grant:
- 2021: LMS Whitehead Prize: LMS Whitehead prize
Publications
Conference Paper
Journal Article
- Magee, M. Random Unitary Representations of Surface Groups II: The large n limit [preprint]. Manuscript submitted for publication
- Magee, M. (in press). Random Unitary Representations of Surface Groups II: The large n limit. Geometry & Topology,
- Magee, M., Thomas, J., & Zhao, Y. (2023). Quantum Unique Ergodicity for Cayley graphs of quasirandom groups. Communications in Mathematical Physics, 402, 3021-3044. https://doi.org/10.1007/s00220-023-04801-x
- Hide, W., & Magee, M. (2023). Near optimal spectral gaps for hyperbolic surfaces. Annals of Mathematics, 198(2), 791-824. https://doi.org/10.4007/annals.2023.198.2.6
- Magee, M., & Puder, D. (2023). The Asymptotic Statistics of Random Covering Surfaces. Forum of mathematics. Pi, 11, Article e15. https://doi.org/10.1017/fmp.2023.13
- Magee, M., & Puder, D. (2022). Matrix group integrals, surfaces, and mapping class groups II: O(n) and Sp(n). Mathematische Annalen, https://doi.org/10.1007/s00208-022-02542-1
- Magee, M., & Puder, D. (2022). Core surfaces. Geometriae Dedicata, 216(4), Article 46. https://doi.org/10.1007/s10711-022-00706-6
- Magee, M., Naud, F., & Puder, D. (2022). A random cover of a compact hyperbolic surface has relative spectral gap 3/16 - ϵ. Geometric And Functional Analysis, 32(3), 595-661. https://doi.org/10.1007/s00039-022-00602-x
- Magee, M. (2022). Random Unitary Representations of Surface Groups I: Asymptotic expansions. Communications in Mathematical Physics, 391(1), 119-171. https://doi.org/10.1007/s00220-021-04295-5
- Magee, M., & Puder, D. (2021). Surface Words are Determined by Word Measures on Groups. Israel Journal of Mathematics, 241, 749-774. https://doi.org/10.1007/s11856-021-2113-5
- Courcy-Ireland, M. D., & Magee, M. (2021). Kesten-McKay law for the Markoff surface mod p. Annales Henri Lebesgue, 4, 227-250. https://doi.org/10.5802/ahl.71
- Magee, M., & Naud, F. (2020). Explicit spectral gaps for random covers of Riemann surfaces. Publications mathématiques de l'IHÉS, 132(1), 137-179. https://doi.org/10.1007/s10240-020-00118-w
- Magee, M. (2020). Counting One-Sided Simple Closed Geodesics on Fuchsian Thrice Punctured Projective Planes. International Mathematics Research Notices, 2020(13), 3886-3901. https://doi.org/10.1093/imrn/rny112
- Cerbu, A., Gunther, E., Magee, M., & Peilen, L. (2020). The cycle structure of a Markoff automorphism over finite fields. Journal of Number Theory, 211, 1-27. https://doi.org/10.1016/j.jnt.2019.09.022
- Magee, M. (2019). On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials. Compositio Mathematica, 155(12), 2354-2398. https://doi.org/10.1112/s0010437x1900767x
- Magee, M., & Puder, D. (2019). Matrix group integrals, surfaces, and mapping class groups I: U(n). Inventiones Mathematicae, 218(2), 341-411. https://doi.org/10.1007/s00222-019-00891-4
- Gamburd, A., Magee, M., & Ronan, R. (2019). An asymptotic formula for integer points on Markoff-Hurwitz varieties. Annals of Mathematics, 190(3), 751-809. https://doi.org/10.4007/annals.2019.190.3.2
- Magee, M., Oh, H., & Winter, D. (2019). Uniform congruence counting for Schottky semigroups in SL2(𝐙). Journal für die reine und angewandte Mathematik, 2019(753), 89-135. https://doi.org/10.1515/crelle-2016-0072
- Gutiérrez-Romo, R., Magee, M., & Rühr, R. (2019). Counting saddle connections in a homology class modulo q. Journal of Modern Dynamics, 15, 237-262. https://doi.org/10.3934/jmd.2019020
- Magee, M. (2015). Arithmetic, zeros, and nodal domains on the sphere. Communications in Mathematical Physics, 338(3), 919-951. https://doi.org/10.1007/s00220-015-2391-z
- Magee, M. (2015). Quantitative spectral gap for thin groups of hyperbolic isometries. Journal of the European Mathematical Society, 17(1), 151-187. https://doi.org/10.4171/jems/500
Supervision students
Anitej Banerjee
2P
Ewan Cassidy
3P