Michael Magee

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All published works

Action	Title	Year	Authors
+	Strongly convergent unitary representations of limit groups	2024	Larsen Louder Michael Magee Will Hide
+ PDF Chat	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	2024	Michael Magee Mikael de la Salle
+ PDF Chat	Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations	2024	Michael Magee Mikael de la Salle
+ PDF Chat	Spectral gap for random Schottky surfaces	2024	Irving Calderón Michael Magee Frédéric Naud
+ PDF Chat	The limit points of the bass notes of arithmetic hyperbolic surfaces	2024	Michael Magee
+	Near optimal spectral gaps for hyperbolic surfaces	2023	Will Hide Michael Magee
+ PDF Chat	Quantum Unique Ergodicity for Cayley Graphs of Quasirandom Groups	2023	Michael Magee Joe Thomas Yufei Zhao
+ PDF Chat	The Asymptotic Statistics of Random Covering Surfaces	2023	Michael Magee Doron Puder
+	Explicit spectral gap for Schottky subgroups of $\mathrm{SL} (2,\mathbb{Z})$	2023	Irving Calderón Michael Magee
+	Strongly convergent unitary representations of right-angled Artin groups	2023	Michael Magee Joe Thomas
+	$\mathrm{SL}_{4}(\mathbf{Z})$ is not pure matrix field	2023	Michael Magee Mikael de la Salle
+ PDF Chat	Matrix group integrals, surfaces, and mapping class groups II: $$\textrm{O}\left( n\right) $$ and $$\textrm{Sp}\left( n\right) $$	2022	Michael Magee Doron Puder
+ PDF Chat	Core surfaces	2022	Michael Magee Doron Puder
+ PDF Chat	A random cover of a compact hyperbolic surface has relative spectral gap $$\frac{3}{16}-\varepsilon $$	2022	Michael Magee Frédéric Naud Doron Puder
+	Quantum Unique Ergodicity for Cayley graphs of quasirandom groups	2022	Michael Magee Joe Thomas
+	Strongly convergent unitary representations of limit groups	2022	Larsen Louder Michael Magee with Appendix by Will Hide Michael Magee
+ PDF Chat	Random Unitary Representations of Surface Groups I: Asymptotic Expansions	2021	Michael Magee
+	Core Surfaces	2021	Michael Magee Doron Puder
+ PDF Chat	Surface words are determined by word measures on groups	2021	Michael Magee Doron Puder
+ PDF Chat	Kesten–McKay law for the Markoff surface mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>	2021	Matthew de Courcy-Ireland Michael Magee
+	Random Unitary Representations of Surface Groups II: The large $n$ limit	2021	Michael Magee
+	Extension of Alon's and Friedman's conjectures to Schottky surfaces	2021	Michael Magee Frédéric Naud
+	Random Unitary Representations of Surface Groups II: The large $n$ limit	2021	Michael Magee
+	Near optimal spectral gaps for hyperbolic surfaces	2021	Will Hide Michael Magee
+ PDF Chat	Explicit spectral gaps for random covers of Riemann surfaces	2020	Michael Magee Frédéric Naud
+	A random cover of a compact hyperbolic surface has relative spectral gap $\frac{3}{16}-\epsilon$	2020	Michael Magee Frédéric Naud Doron Puder
+	Automorphism-invariant positive definite functions on free groups.	2020	C. Benoît Michael Magee Doron Puder
+	Kesten-McKay law for the Markoff surface mod p.	2020	Matthew de Courcy-Ireland Michael Magee
+	A random cover of a compact hyperbolic surface has relative spectral gap $\frac{3}{16}-\varepsilon$	2020	Michael Magee Frédéric Naud Doron Puder
+	The Asymptotic Statistics of Random Covering Surfaces	2020	Michael Magee Doron Puder
+ PDF Chat	On Selberg’s eigenvalue conjecture for moduli spaces of abelian differentials	2019	Michael Magee
+	The cycle structure of a Markoff automorphism over finite fields	2019	Alois Cerbu Elijah Gunther Michael Magee Luke Peilen
+ PDF Chat	An asymptotic formula for integer points on Markoff-Hurwitz varieties	2019	Alexander Gamburd Michael Magee Ryan Ronan
+	Automorphism-invariant positive definite functions on free groups	2019	C. Benoît Michael Magee Doron Puder
+	Explicit spectral gaps for random covers of Riemann surfaces.	2019	Michael Magee Frédéric Naud
+	Counting saddle connections in a homology class modulo $q$	2019	Rodolfo Gutiérrez-Romo Michael Magee René Rühr
+ PDF Chat	Matrix group integrals, surfaces, and mapping class groups I: U(n)	2019	Michael Magee Doron Puder
+	Matrix Group Integrals, Surfaces, and Mapping Class Groups II: $\mathrm{O}\left(n\right)$ and $\mathrm{Sp}\left(n\right)$	2019	Michael Magee Doron Puder
+	Surface Words are Determined by Word Measures on Groups.	2019	Michael Magee Doron Puder
+ PDF Chat	Counting saddle connections in a homology class modulo <inline-formula><tex-math id="M1">$ \boldsymbol q $</tex-math></inline-formula> (with an appendix by Rodolfo Gutiérrez-Romo)	2019	Michael Magee René Rühr
+	Automorphism-invariant positive definite functions on free groups	2019	C. Benoît Michael Magee Doron Puder
+	Explicit spectral gaps for random covers of Riemann surfaces	2019	Michael Magee Frédéric Naud
+	Surface Words are Determined by Word Measures on Groups	2019	Michael Magee Doron Puder
+	Kesten-McKay law for the Markoff surface mod p	2018	Matthew de Courcy-Ireland Michael Magee
+	Counting saddle connections in a homology class modulo $q$	2018	Michael Magee René Rühr Rodolfo Gutiérrez-Romo
+ PDF Chat	Counting One-Sided Simple Closed Geodesics on Fuchsian Thrice Punctured Projective Planes	2018	Michael Magee
+	Unitary Group Integrals, Surfaces, and Mapping Class Groups	2018	Michael Magee Doron Puder
+	Kesten-McKay law for the Markoff surface mod p	2018	Matthew de Courcy-Ireland Michael Magee
+	Counting saddle connections in a homology class modulo $q$	2018	Michael Magee René Rühr Rodolfo Gutiérrez-Romo
+	Counting one sided simple closed geodesics on Fuchsian thrice punctured projective planes	2017	Michael Magee
+	Uniform congruence counting for Schottky semigroups in SL<sub>2</sub>(𝐙)	2017	Michael Magee Hee Oh Dale Winter
+	Counting one sided simple closed geodesics on Fuchsian thrice punctured projective planes	2017	Michael Magee
+	The cycle structure of a Markoff automorphism over finite fields	2016	Alois Cerbu Elijah Gunther Michael Magee Luke Peilen
+	Decoupling of the Kontsevich-Zorich cocycle modulo $q$ and uniform spectral gap	2016	Michael Magee
+	An asymptotic for Markoff-Hurwitz tuples	2016	Alex Gamburd Michael Magee Ryan Ronan
+	An asymptotic formula for integer points on Markoff-Hurwitz varieties	2016	Alex Gamburd Michael Magee Ryan Ronan
+	Uniform congruence counting for Schottky semigroups in $\mathrm{SL}_2(\mathbf{Z})$	2016	Michael Magee Hee Oh Dale Winter
+	The cycle structure of a Markoff automorphism over finite fields	2016	Alois Cerbu Elijah Gunther Michael Magee Luke Peilen
+	An asymptotic formula for integer points on Markoff-Hurwitz varieties	2016	Alex Gamburd Michael Magee Ryan Ronan
+ PDF Chat	Arithmetic, Zeros, and Nodal Domains on the Sphere	2015	Michael Magee
+ PDF Chat	Quantitative spectral gap for thin groups of hyperbolic isometries	2015	Michael Magee
+	Thermodynamic expansion to arbitrary moduli	2015	Jean Bourgain Alex Kontorovich Michael Magee
+	Word Measures on Unitary Groups	2015	Michael Magee Doron Puder
+	Expanding maps and continued fractions	2014	Michael Magee Hee Oh Dale Winter
+	Arithmetic, zeros, and nodal domains on the sphere	2013	Michael Magee
+	Arithmetic, zeros, and nodal domains on the sphere	2013	Michael Magee
+	Quantitative spectral gap for thin groups of hyperbolic isometries	2011	Michael Magee
+	Quantitative spectral gap for thin groups of hyperbolic isometries	2011	Michael Magee

Common Coauthors

Coauthor	Papers Together
Doron Puder	18
Frédéric Naud	8
Matthew de Courcy-Ireland	4
Ryan Ronan	4
René Rühr	4
C. Benoît	3
Joe Thomas	3
Luke Peilen	3
Elijah Gunther	3
Alex Gamburd	3
Alois Cerbu	3
Mikael de la Salle	3
Dale Winter	3
Rodolfo Gutiérrez-Romo	3
Will Hide	3
Hee Oh	3
Larsen Louder	2
Irving Calderón	2
Alexander Gamburd	1
Jean Bourgain	1
Yufei Zhao	1
Alex Kontorovich	1
Michael Magee with Appendix by Will Hide	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Measure preserving words are primitive	2014	Doron Puder Ori Parzanchevski	11
+ PDF Chat	Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group	2006	C. Benoît Piotr Śniady	9
+ PDF Chat	Primitive words, free factors and measure preservation	2013	Doron Puder	9
+	On the number of cycles of given length of a free word in several random permutations	1994	Alexandru Nica	8
+ PDF Chat	Uniform expansion bounds for Cayley graphs of SL<sub>2</sub>(𝔽<sub>p</sub>)	2008	Jean Bourgain Alex Gamburd	8
+ PDF Chat	The limit set of a Fuchsian group	1976	S. J. Patterson	8
+ PDF Chat	Uniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of $\operatorname {SL}_2(\mathbb {Z})$	2015	Hee Oh Dale Winter	7
+ PDF Chat	Eigenvalues of random lifts and polynomials of random permutation matrices	2019	Charles Bordenave C. Benoît	7
+ PDF Chat	Matrix group integrals, surfaces, and mapping class groups I: U(n)	2019	Michael Magee Doron Puder	7
+	Using surfaces to solve equations in free groups	1981	Marc Culler	7
+	Limit laws for Random matrices and free products	1991	Dan Voiculescu	6
+ PDF Chat	Eigenvalues and expanders	1986	Ilan Alon	6
+	A proof of Alon’s second eigenvalue conjecture and related problems	2008	Joel Friedman	6
+	Some Results and Problems in the Theory of Word Maps	2013	Aner Shalev	6
+	Second order freeness and fluctuations of random matrices: II. Unitary random matrices	2006	James A. Mingo Piotr Śniady Roland Speicher	6
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg	6
+ PDF Chat	Expanding maps on Cantor sets and analytic continuation of zeta functions	2005	Frédéric Naud	6
+	Zeta functions and the periodic orbit structure of hyperbolic dynamics	1990	William Parry Mark Pollicott	6
+	None	2003	C. Benoît	6
+ PDF Chat	Sur les formes quadratiques binaires ind�finies	1880	A. Markoff	6
+	On Selberg’s Eigenvalue Conjecture	1995	Wenzhi Luo Zeév Rudnick Peter Sarnak	5
+ PDF Chat	On the Fourier expansion of word maps	2013	Ori Parzanchevski Gili Schul	5
+	None	2010	Alexander Barvinok Zur Luria Alex Samorodnitsky Alexander Yong	5
+	Relative expanders or weakly relatively Ramanujan graphs	2003	Joel Friedman	5
+ PDF Chat	Random Construction of Riemann Surfaces	2004	Robert Brooks Eran Makover	5
+ PDF Chat	On quantum gauge theories in two dimensions	1991	Edward Witten	5
+	Combinatorial aspects of Connes's embedding conjecture and asymptotic distribution of traces of products of unitaries	2004	Florin Rădulescu	5
+	Algebraic topology	2001	Allen Hatcher	5
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	5
+	On the eigenvalues of random matrices	1994	Persi Diaconis Mehrdad Shahshahani	5
+ PDF Chat	The Euler characteristic of the moduli space of curves	1986	John Harer Don Zagier	5
+	DEHN’S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES	1987	Joan S. Birman Caroline Series	5
+	The symplectic nature of fundamental groups of surfaces	1984	William M. Goldman	4
+	Asymptotic behavior of group integrals in the limit of infinite rank	1978	D. Weingarten	4
+ PDF Chat	Classification of Rauzy–Veech groups: proof of the Zorich conjecture	2018	Rodolfo Gutiérrez-Romo	4
+ PDF Chat	Growth of the number of simple closed geodesics on hyperbolic surfaces	2008	Maryam Mirzakhani	4
+	On the spectral gap for infinite index “congruence” subgroups of SL2(Z)	2002	Alex Gamburd	4
+ PDF Chat	Affine linear sieve, expanders, and sum-product	2009	Jean Bourgain Alex Gamburd Peter Sarnak	4
+	A Random Matrix Model From Two Dimensional Yang-Mills Theory	1997	Feng Xu	4
+	On the second eigenvalue of a graph	1991	A. Nilli	4
+	COHOMOLOGY OF GROUPS (Graduate Texts in Mathematics, 87)	1984	C. B. Thomas	4
+ PDF Chat	Generalization of Selberg’s $ \frac{3}{{16}} $ theorem and affine sieve	2011	Jean Bourgain Alex Gamburd Peter Sarnak	4
+	Interval Exchange Transformations and Measured Foliations	1982	Howard Masur	4
+	Gauss Measures for Transformations on the Space of Interval Exchange Maps	1982	William A. Veech	4
+	On the second eigenvalue of random regular graphs	1987	Andrei Broder Eli Shamir	4
+	The Lowest Eigenvalue for Congruence Groups	1996	Henryk Iwaniec	4
+ PDF Chat	Geometry and Spectra of Compact Riemann Surfaces	2010	Peter Buser	4
+	Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks	2003	Martin W. Liebeck Aner Shalev	4
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	4
+	On Some Exponential Sums	1948	André Weil	4