Edit Profile (opens in new tab) Magee, Michael Co-Author Distance Author ID: magee.michael Published as: Magee, Michael Documents Indexed: 31 Publications since 1991, including 10 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 22 Joint Publications 377 Co-Co-Authors all top 5 Co-Authors 7 single-authored 8 Puder, Doron 3 Naud, Frédéric 2 Oh, Hee 2 Winter, Dale 1 Bourgain, Jean 1 Calderón, Irving 1 Cerbu, Alois 1 Collins, Benoît 1 De Courcy-Ireland, Matthew 1 de la Salle, Mikael 1 Gamburd, Alexander 1 Gatrell, Lance 1 Gunther, Elijah 1 Gutiérrez-Romo, Rodolfo 1 Hide, Michael Magee with Appendix by Will 1 Hide, Will 1 Hoff, William E. 1 Kontorovich, Alex V. 1 Louder, Larsen 1 Peilen, Luke 1 Ronan, Ryan 1 Rühr, Rene 1 Sklair, Cheryl all top 5 Serials 3 Communications in Mathematical Physics 2 Annals of Mathematics. Second Series 1 Israel Journal of Mathematics 1 Compositio Mathematica 1 Geometriae Dedicata 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 IMRN. International Mathematics Research Notices 1 Applied Intelligence 1 Geometric and Functional Analysis. GAFA 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Modern Dynamics 1 Forum of Mathematics, Pi 1 Annales Henri Lebesgue all top 5 Fields 17 Group theory and generalizations (20-XX) 11 Number theory (11-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Topological groups, Lie groups (22-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 6 Combinatorics (05-XX) 5 Manifolds and cell complexes (57-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 97 times in 64 Documents Cited by ▼ Year ▼ Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\). Zbl 1484.60005 Magee, Michael; Puder, Doron 17 2019 Uniform congruence counting for Schottky semigroups in \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1475.20095 Magee, Michael; Oh, Hee; Winter, Dale 15 2019 Quantitative spectral gap for thin groups of hyperbolic isometries. Zbl 1332.11058 Magee, Michael 11 2015 A random cover of a compact hyperbolic surface has relative spectral gap \(\frac{3}{16}-\varepsilon\). Zbl 1498.58022 Magee, Michael; Naud, Frédéric; Puder, Doron 11 2022 Explicit spectral gaps for random covers of Riemann surfaces. Zbl 1508.58008 Magee, Michael; Naud, Frédéric 6 2020 An asymptotic formula for integer points on Markoff-Hurwitz varieties. Zbl 1447.11051 Gamburd, Alexander; Magee, Michael; Ronan, Ryan 5 2019 Counting one-sided simple closed geodesics on Fuchsian thrice punctured projective planes. Zbl 1472.30019 Magee, Michael 5 2020 Surface words are determined by word measures on groups. Zbl 1480.20104 Magee, Michael; Puder, Doron 5 2021 The cycle structure of a Markoff automorphism over finite fields. Zbl 1459.37096 Cerbu, Alois; Gunther, Elijah; Magee, Michael; Peilen, Luke 4 2020 Near optimal spectral gaps for hyperbolic surfaces. Zbl 07734891 Hide, Will; Magee, Michael 3 2023 Random unitary representations of surface groups. I: Asymptotic expansions. Zbl 07493709 Magee, Michael 3 2022 The asymptotic statistics of random covering surfaces. Zbl 1521.20016 Magee, Michael; Puder, Doron 3 2023 Arithmetic, zeros, and nodal domains on the sphere. Zbl 1354.11041 Magee, Michael 2 2015 On Selberg’s eigenvalue conjecture for moduli spaces of abelian differentials. Zbl 1439.11132 Magee, Michael 2 2019 Kesten-McKay law for the Markoff surface mod \(p\). (Loi de Kesten-McKay pour la surface de Markoff modulo \(p\).) Zbl 1525.11030 de Courcy-Ireland, Matthew; Magee, Michael 2 2021 Counting saddle connections in a homology class modulo \( q \) (with an appendix by Rodolfo Gutiérrez-Romo). Zbl 1434.32020 Magee, Michael; Rühr, Rene 1 2019 Quantum unique ergodicity for Cayley graphs of quasirandom groups. Zbl 07732084 Magee, Michael; Thomas, Joe; Zhao, Yufei 1 2023 Core surfaces. Zbl 1514.20157 Magee, Michael; Puder, Doron 1 2022 Near optimal spectral gaps for hyperbolic surfaces. Zbl 07734891 Hide, Will; Magee, Michael 3 2023 The asymptotic statistics of random covering surfaces. Zbl 1521.20016 Magee, Michael; Puder, Doron 3 2023 Quantum unique ergodicity for Cayley graphs of quasirandom groups. Zbl 07732084 Magee, Michael; Thomas, Joe; Zhao, Yufei 1 2023 A random cover of a compact hyperbolic surface has relative spectral gap \(\frac{3}{16}-\varepsilon\). Zbl 1498.58022 Magee, Michael; Naud, Frédéric; Puder, Doron 11 2022 Random unitary representations of surface groups. I: Asymptotic expansions. Zbl 07493709 Magee, Michael 3 2022 Core surfaces. Zbl 1514.20157 Magee, Michael; Puder, Doron 1 2022 Surface words are determined by word measures on groups. Zbl 1480.20104 Magee, Michael; Puder, Doron 5 2021 Kesten-McKay law for the Markoff surface mod \(p\). (Loi de Kesten-McKay pour la surface de Markoff modulo \(p\).) Zbl 1525.11030 de Courcy-Ireland, Matthew; Magee, Michael 2 2021 Explicit spectral gaps for random covers of Riemann surfaces. Zbl 1508.58008 Magee, Michael; Naud, Frédéric 6 2020 Counting one-sided simple closed geodesics on Fuchsian thrice punctured projective planes. Zbl 1472.30019 Magee, Michael 5 2020 The cycle structure of a Markoff automorphism over finite fields. Zbl 1459.37096 Cerbu, Alois; Gunther, Elijah; Magee, Michael; Peilen, Luke 4 2020 Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\). Zbl 1484.60005 Magee, Michael; Puder, Doron 17 2019 Uniform congruence counting for Schottky semigroups in \(\mathrm{SL}_2(\mathbb{Z})\). Zbl 1475.20095 Magee, Michael; Oh, Hee; Winter, Dale 15 2019 An asymptotic formula for integer points on Markoff-Hurwitz varieties. Zbl 1447.11051 Gamburd, Alexander; Magee, Michael; Ronan, Ryan 5 2019 On Selberg’s eigenvalue conjecture for moduli spaces of abelian differentials. Zbl 1439.11132 Magee, Michael 2 2019 Counting saddle connections in a homology class modulo \( q \) (with an appendix by Rodolfo Gutiérrez-Romo). Zbl 1434.32020 Magee, Michael; Rühr, Rene 1 2019 Quantitative spectral gap for thin groups of hyperbolic isometries. Zbl 1332.11058 Magee, Michael 11 2015 Arithmetic, zeros, and nodal domains on the sphere. Zbl 1354.11041 Magee, Michael 2 2015 all cited Publications top 5 cited Publications all top 5 Cited by 88 Authors 12 Magee, Michael 7 Puder, Doron 4 Naud, Frédéric 4 Oh, Hee 4 Shkredov, Il’ya Dmitrievich 3 Bourgain, Jean 3 Dyatlov, Semyon 2 De Courcy-Ireland, Matthew 2 Erlandsson, Viveka 2 Gutiérrez-Romo, Rodolfo 2 Jung, Junehyuk 2 Kan, Igor D. 2 Kontorovich, Alex V. 2 Moshchevitin, Nikolay G. 2 Petri, Bram 2 Rudnick, Zeév 2 Souto, Juan 2 Thomas, Joe 2 Wright, Alex 1 Baker, Elizabeth 1 Bandtlow, Oscar F. 1 Barbosa, Marcelo R. 1 Bell, Renee 1 Booher, Jeremy 1 Borot, Gaëtan 1 Chen, William Yun 1 Delecroix, Vincent 1 Dubach, Guillaume 1 Edwards, Sam 1 Fuchs, Elena D. 1 Gamburd, Alexander 1 Gilmore, Clifford 1 Golubev, Konstantin 1 Goujard, Elise 1 Grushevsky, Samuel 1 Hanany, Liam 1 Hide, Will 1 Jakobson, Dmitry 1 Jang, Seunguk 1 Jin, Long 1 Kamber, Amitay 1 Khan, Sayantan 1 Kim, Dongryul M. 1 Konyagin, Sergeĭ Vladimirovich 1 Le Masson, Etienne 1 Lee, Seungjae 1 Li, Jialun 1 Lipnowski, Michael 1 Liu, Yuan 1 Meiri, Chen 1 Minsky, Yair N. 1 Möller, Martin 1 Murphy, Brendan 1 Nagy, Ákos 1 Naor, Assaf 1 Novaes, Marcel 1 Palheta, Pedro H. S. 1 Peled, Yuval 1 Pohl, Anke D. 1 Pollicott, Mark 1 Rafi, Kasra 1 Raimbault, Jean 1 Rayan, Steven 1 Paris-Romaskevich, Olga 1 Ros, Antonio 1 Rühr, Rene 1 Sah, Ashwin 1 Sahlsten, Tuomas 1 Salehi Golsefidy, Alireza 1 Sarkar, Pratyush 1 Sarnak, Peter Clive 1 Sawhney, Mehtaab S. 1 Schick, Torben 1 Shparlinski, Igor E. 1 Soares, Louis 1 Stange, Katherine E. 1 Uyanik, Caglar 1 Vytnova, Polina 1 Vyugin, Ilya V. 1 Weiße, Alexander 1 Whang, Junho Peter 1 Wigman, Igor 1 Wilton, Henry John Rutley 1 Zelditch, Steve 1 Zhang, Xin 1 Zhao, Yufei 1 Zograf, Peter 1 Zorich, Anton Vladimirovich all top 5 Cited in 42 Serials 5 Israel Journal of Mathematics 4 Geometric and Functional Analysis. GAFA 3 Inventiones Mathematicae 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Annals of Mathematics. Second Series 2 Oberwolfach Reports 2 Journal of Modern Dynamics 2 Annales Henri Lebesgue 1 Communications in Mathematical Physics 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Algebra 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Sbornik: Mathematics 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Analysis & PDE 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Transactions of the London Mathematical Society 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 27 Fields 27 Number theory (11-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Group theory and generalizations (20-XX) 14 Functions of a complex variable (30-XX) 14 Probability theory and stochastic processes (60-XX) 11 Topological groups, Lie groups (22-XX) 10 Manifolds and cell complexes (57-XX) 8 Combinatorics (05-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Partial differential equations (35-XX) 5 Algebraic geometry (14-XX) 5 Differential geometry (53-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year