Staff profile
Overview
https://internal.durham.ac.uk/images/mathematical.sciences/Maths_Staff_2018/Magee.jpeg
Michael Magee
Professor, Geometry
PhD University of California Santa Cruz

Affiliation | Room number | Telephone |
---|---|---|
Professor, Geometry in the Department of Mathematical Sciences | MCS2042 | +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
- Spectral Theory
- Number Theory
- Dynamics
Research groups
- Pure Mathematics: Analysis
Awarded Grants
- 2020: The Ubiquity Of Optimal Spectral Gaps(£1149643.75 from Interreg (ERDF) Europe)
Esteem Indicators
- 2021: : LMS Whitehead prize
- 0000: Von Neumann Fellowship, IAS Princeton:
Publications
Conference Paper
Journal Article
- Magee, Michael (Submitted). Random Unitary Representations of Surface Groups II: The large n limit.
- Magee, Michael & Puder, Doron (Accepted). The Asymptotic Statistics of Random Covering Surfaces. Forum of Mathematics, Pi
- Hide, Will & Magee, Michael (2023). Near optimal spectral gaps for hyperbolic surfaces. Annals of Mathematics
- Magee, Michael & Puder, Doron (2022). Matrix group integrals, surfaces, and mapping class groups II: O(n) and Sp(n). Mathematische Annalen
- Magee, Michael & Puder, Doron (2022). Core surfaces. Geometriae Dedicata 216(4): 46.
- Magee, Michael, Naud, Frédéric & Puder, Doron (2022). A random cover of a compact hyperbolic surface has relative spectral gap 3/16 - ϵ. Geometric and Functional Analysis 32(3): 595-661.
- Magee, Michael (2022). Random Unitary Representations of Surface Groups I: Asymptotic expansions. Communications in Mathematical Physics 391(1): 119-171.
- Magee, Michael & Puder, Doron (2021). Surface Words are Determined by Word Measures on Groups. Israel Journal of Mathematics 241: 749-774.
- Courcy-Ireland, Matthew de & Magee, Michael (2021). Kesten-McKay law for the Markoff surface mod p. Annales Henri Lebesgue 4: 227-250.
- Magee, Michael & Naud, Frédéric (2020). Explicit spectral gaps for random covers of Riemann surfaces. Publications mathématiques de l'IHÉS 132(1): 137-179.
- Cerbu, Alois Gunther, Elijah Magee, Michael & Luke Peilen, (2020). The cycle structure of a Markoff automorphism over finite fields. Journal of Number Theory 211: 1-27.
- Magee, Michael (2020). Counting One-Sided Simple Closed Geodesics on Fuchsian Thrice Punctured Projective Planes. International Mathematics Research Notices 2020(13): 3886-3901.
- Magee, Michael (2019). On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials. Compositio Mathematica 155(12): 2354-2398.
- Gamburd, Alex, Magee, Michael & Ronan, Ryan (2019). An asymptotic formula for integer points on Markoff-Hurwitz varieties. Annals of Mathematics 190(3): 751-809.
- Magee, Michael & Puder, Doron (2019). Matrix group integrals, surfaces, and mapping class groups I: U(n). Inventiones mathematicae 218(2): 341-411.
- Gutiérrez-Romo, Rodolfo, Magee, Michael & Rühr, Rene (2019). Counting saddle connections in a homology class modulo q. Journal of Modern Dynamics 15: 237-262.
- Magee, Michael, Oh, Hee & Winter, Dale (2019). Uniform congruence counting for Schottky semigroups in SL2(𝐙). Journal für die reine und angewandte Mathematik (Crelles Journal) 2019(753): 89-135.
- Magee, Michael (2015). Arithmetic, zeros, and nodal domains on the sphere. Communications in Mathematical Physics 338(3): 919-951.
- Magee, Michael (2015). Quantitative spectral gap for thin groups of hyperbolic isometries. Journal of the European Mathematical Society 17(1): 151-187.
Supervision students
Ewan Cassidy
2P
William Hide
3P