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5<title>Michael Magee</title>
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11<a href="./papers.html">[Papers]</a>
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16Conference:
17<a href="./DS_SG.html">[23]</a>
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31<tr >    <th colspan="3", text-align="center"></th>
32</tr>
33<tr >    <th colspan="3", text-align="center"><u>Preprints</u></th>
34</tr>
35<tr >    <th colspan="3", text-align="center"></th>
36</tr>
37<tr >
38<td> 
39</td>
40<td>
41<a href="https://arxiv.org/abs/2608.00386"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
42</td>
43<td><b>Near optimal spectral gaps for line bundles on hyperbolic three-manifolds</b>  
44(With <a href="https://annaroigsanchis.github.io/">Anna Roig-Sanchis </a> and <a href="https://sites.google.com/view/joe-thomas/home">Joe Thomas</a>)
45<br>
46Submitted.
47</tr>
48<tr >
49<td> 
50</td>
51<td>
52<a href="https://arxiv.org/abs/2508.17332"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
53</td>
54<td><b>Eigenvalues of maximal abelian covers.</b>  
55(With Wenbo Li, <a href="https://sites.google.com/site/mostafasabrimath/">Mostafa Sabri</a>, and <a href="https://sites.google.com/view/joe-thomas/home">Joe Thomas</a>)
56<br>
57Submitted.
58</tr>
59<tr >
60<td> 
61</td>
62<td>
63<a href="https://arxiv.org/abs/2504.08988"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
64</td>
65<td><b>Strong convergence of uniformly random permutation representations of surface groups.</b>  
66(With <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a> and <a href="https://web.math.princeton.edu/~rvan/">Ramon van Handel</a>)
67<br>
68Submitted.
69</tr>
70
71
72
73
74
75	
76
77
78
79
80
81
82<tr >    <th colspan="3", text-align="center"></th>
83</tr>		
84<tr >    <th colspan="3", text-align="center"><u>Publications</u></th>
85</tr>
86<tr >    <th colspan="3", text-align="center"></th>
87</tr>
88<tr >
89<td>
90</td>
91<td>
92<a href="https://arxiv.org/abs/2403.00928"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
93</td>
94<td><b>The limit points of the bass notes of arithmetic hyperbolic surfaces.</b>  
95<br>
96<u>American Journal of Mathematics</u>, to appear.
97</tr>
98<tr >
99<td>
100</td>
101<td>
102<a href="https://arxiv.org/abs/2407.21506"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
103</td>
104<td><b>Spectral gap for random Schottky surfaces.</b>   (With <a href="https://maths.dur.ac.uk/users/irving.d.calderon-camacho/">Irving Calder&oacuten</a> and <a href="https://sites.google.com/site/homepageoffredericnaud/">Fr&eacuted&eacuteric Naud</a>)
105<br>
106<u>Analysis & PDE</u>, to appear.
107</tr>
108<tr >
109<td>
110<a href="https://doi.org/10.1007/s00039-026-00730-8"><img src="j_ico.png"title="Journal" width="100%"></a>
111</td>
112<td>
113<a href="https://arxiv.org/abs/2409.03626"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
114</td>
115<td><b>Strong asymptotic freeness of Haar unitaries in
116quasi-exponential dimensional representations.</b>  
117 (With <a href="http://math.univ-lyon1.fr/homes-www/delasalle/">Mikael de la Salle</a>)
118<br>
119<u>Geometric and Functional Analysis (GAFA)</u>, 2026.
120</tr>	
121
122<tr >
123<td> 
124</td>
125<td>
126<a href="https://arxiv.org/abs/2503.21619"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
127</td>
128<td><b>Strong convergence of unitary and permutation representations of discrete groups.</b>  
129<br>
130<u>Proceedings 9ECM</u>, to appear.
131</tr>	
132<tr >
133<td>
134<a href="https://doi.org/10.1215/00127094-2025-0048 "><img src="j_ico.png" title="Journal" width="100%"></a>
135</td>
136<td>
137<a href="https://arxiv.org/abs/2308.00863"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
138</td>
139<td><b>Strongly convergent unitary representations of right-angled Artin groups.</b>  
140 (With <a href="https://sites.google.com/view/joe-thomas/home">Joe Thomas</a>)
141<br>
142<u>Duke Mathematical Journal</u>, 2026.
143</tr>
144
145<tr >
146<td><a href="https://msp.org/gt/2025/29-3/p03.xhtml"><img src="j_ico.png"title="Journal" width="100%"></a>
147</td>
148<td>
149<a href="https://arxiv.org/abs/2101.03224"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
150</td>
151<td><b>Random Unitary Representations of Surface Groups II: The large n limit.
152</b> 
153<br>
154<u>Geometry and Topology</u>, 2025.
155</td>	
156</tr>	
157<tr >
158<td>
159<a href="https://doi.org/10.4171/jems/1610"><img src="j_ico.png"title="Journal" width="100%"></a>
160</td>
161<td>
162<a href="https://arxiv.org/abs/2303.17950"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
163</td>
164<td><b>Explicit spectral gap for Schottky subgroups of \( \mathrm{SL}_2(\mathbf{Z}) \).</b>  
165 (With <a href="https://maths.dur.ac.uk/users/irving.d.calderon-camacho/">Irving Calder&oacuten</a>)
166<br>
167<u>Journal of the European Mathematical Society</u>, 2025.
168</tr>
169
170<tr>
171<td>
172<a href="https://doi.org/10.1016/j.jfa.2024.110803"><img src="j_ico.png"title="Journal" width="100%"></a>
173</td>
174<td>
175<a href="https://arxiv.org/abs/2210.08953"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
176</td>
177<td><b>

177Strongly convergent unitary representations of limit groups.</b>  
178 (With <a href="https://www.ucl.ac.uk/~ucahllo/">Lars Louder)</a> 
179 
180<br>
181<u>Journal of Functional Analysis</u>, 2025.  Contains an appendix written with <a href="https://sites.google.com/view/will-hide/home">Will Hide</a>
182</tr>
183
184
185
186
187<tr >
188<td>
189<a href="https://doi.org/10.5802/crmath.617"><img src="j_ico.png"title="Journal" width="100%"></a>
190</td>
191<td>
192<a href="https://arxiv.org/abs/2312.03220"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
193</td>
194<td><b>\( \mathrm{SL}_4(\mathbf{Z}) \) is not purely matricial field.</b>  
195 (With <a href="http://math.univ-lyon1.fr/homes-www/delasalle/">Mikael de la Salle</a>)
196<br>
197<u>Comptes Rendus Mathématique</u>, 2024. 
198</tr>	
199<tr >
200<td>
201<a href="https://doi.org/10.1007/s00220-023-04801-x"><img src="j_ico.png"title="Journal" width="100%"></a>
202</td>
203</td>
204<td>
205<a href="https://arxiv.org/abs/2204.10642"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
206</td>
207<td><b>Quantum Unique Ergodicity for Cayley graphs of quasirandom groups.</b>  
208 (With <a href="https://sites.google.com/view/joe-thomas/home">Joe Thomas</a> and <a href="https://yufeizhao.com/">Yufei Zhao</a>)<br>
209<u>Communications in Mathematical Physics</u>, 2023.
210</b>
211<br>
212
213</td>	
214</tr>	
215
216
217<tr >
218<td><a href="https://doi.org/10.1017/fmp.2023.13"><img src="j_ico.png"title="Journal" width="100%"></a>
219
220</td>
221<td>
222<a href="https://arxiv.org/abs/2003.05892"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
223</td>
224<td><b>The asymptotic statistics of random covering surfaces.
225</b> (With <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>)
226<br>
227<u>Forum of Mathematics, Pi</u>, 2023.
228</td>	
229</tr>	
230
231
232
233<tr >
234<td>
235<a href="https://doi.org/10.4007/annals.2023.198.2.6"><img src="j_ico.png"title="Journal" width="100%"></a>
236</td>
237<td>
238<a href="https://arxiv.org/abs/2107.05292"><img src="arx_ico3.png" title="arXiv" width="100%" ></a> 
239</td>
240<td><b>Near optimal spectral gaps for hyperbolic surfaces.</b>  
241 (With <a href="https://sites.google.com/view/will-hide/home">Will Hide</a>)
242</b>
243<br>
244<u>Annals of Mathematics</u>, 2023.
245</td>	
246</tr>	
247<tr >	
248
249<td>
250<a href="https://doi.org/10.1007/s00208-022-02542-1"><img src="j_ico.png"title="Journal" width="100%"></a>
251</td>
252<td>	<a href="https://arxiv.org/abs/1904.13106"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
253</td>								
254<td><b>Matrix group integrals, surfaces, and mapping class groups II: O(n) and Sp(n).
255</b> (With <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>)  <br>
256<u>Mathematische Annalen</u>, 2023.</td>
257
258</tr>	
259    
260
261<tr >
262<td>
263<a href="https://doi.org/10.1007/s00039-022-00602-x"><img src="j_ico.png"title="Journal" width="100%"></a>
264</td>
265<td>
266<a href="https://arxiv.org/abs/2003.10911"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
267</td>
268<td><b>A random cover of a compact hyperbolic surface has relative
269spectral gap 3/16 - &#1013.
270</b> (With <a href="https://sites.google.com/site/homepageoffredericnaud/">Fr&eacuted&eacuteric Naud</a> and 
271<a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>)
272<br>
273<u>Geometric and Functional Analysis (GAFA)</u>, 2022.
274</td>	
275</tr>	
276<tr >
277<td>
278<a href="https://doi.org/10.1007/s10711-022-00706-6"><img src="j_ico.png"title="Journal" width="100%"></a>
279</td>
280<td>
281<a href="https://arxiv.org/abs/2108.00717"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
282</td>
283<td><b>Core surfaces.
284</b> (With <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>)
285<br><u>Geometriae Dedicata</u>, 2022.
286</td>	
287</tr>	
288<td>
289<a href="https://doi.org/10.1007/s00220-021-04295-5"><img src="j_ico.png"title="Journal" width="100%"></a>
290</td>
291<td>
292<a href="https://arxiv.org/abs/2101.00252"><img src="arx_ico3.png"title="arXiv" width="100%" ></a> 
293</td>
294<td><b>Random Unitary Representations of Surface Groups I: Asymptotic expansions.
295</b> 
296<br>
297<u>Communications in Mathematical Physics</u>, 2022.
298</td>	
299</tr>	
300<tr >	
301<td>
302<a href="https://bookstore.ams.org/theta-26/"><img src="j_ico.png"title="Journal" width="100%"></a> 
303</td>
304<td>
305<a href="https://arxiv.org/abs/1906.01518"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
306</td>		
307<td><b>Automorphism-invariant positive definite functions on free groups.

307</b> (With <a href="https://www.math.kyoto-u.ac.jp/~collins/":>Beno&icirct Collins</a> and <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>)
308<br>
309<u>Proceedings of the 27th International Conference in Operator Theory (OT27)</u>, 2021.
310<br>
311</td>
312</tr>
313<tr >
314<td>
315<a href="https://doi.org/10.1007/s11856-021-2113-5"><img src="j_ico.png"title="Journal" width="100%"></a> 
316</td>	
317<td>
318<a href="https://arxiv.org/abs/1902.04873"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
319</td>			
320<td>		
321<b>Surface words are determined by word measures on groups. </b> (With <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>) <br>
322<u>Israel Journal of Mathematics</u>, 2021.</td>
323</tr>	
324<tr >
325<td>
326<a href="https://doi.org/10.5802/ahl.71"><img src="j_ico.png"title="Journal" width="100%"></a> 
327</td>
328<td>		<a href="https://arxiv.org/abs/1811.00113"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
329</td>		
330<td>		
331<b>Kesten-McKay law for the Markoff surface mod p. </b>(With 
332<a href="https://people.epfl.ch/matthew.decourcy-ireland?lang=en">Matthew de Courcy-Ireland)</a> <br>
333<u>Annales Henri Lebesgue</u>,  2021.</td>
334	
335</tr>	
336<tr >
337<td>
338<a href="https://doi.org/10.1007/s10240-020-00118-w"><img src="j_ico.png"title="Journal"width="100%" ></a> 
339</td>
340<td>
341<a href="https://arxiv.org/abs/1906.00658"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
342</td>
343<td><b>Explicit spectral gaps for random covers of Riemann surfaces.
344</b> (With <a href="https://sites.google.com/site/homepageoffredericnaud/">Fr&eacuted&eacuteric Naud</a>)
345<br><u>Publications math&#233matiques de l'IH&#201S</u>,  2020.
346</td>	
347</tr>	
348<tr>
349<td>
350<a href="https://doi.org/10.1112/S0010437X1900767X"><img src="j_ico.png"title="Journal" width="100%"></a> 
351</td>
352<td>
353<a href="https://arxiv.org/abs/1609.05500"><img src="arx_ico3.png"title="arXiv" width="100%" ></a> 
354</td>	
355<td><b>On Selberg's Eigenvalue Conjecture for moduli spaces of abelian differentials.
356</b> 
357<br><u>Compositio Mathematica</u>, 2019.	
358</td>
359	
360</tr>
361<tr>	
362<td>
363<a href="https://doi.org/10.1016/j.jnt.2019.09.022"><img src="j_ico.png"title="Journal" width="100%"></a> 
364</td>
365<td>		<a href="https://arxiv.org/abs/1610.07077"><img src="arx_ico3.png"title="arXiv" width="100%" ></a> 
366</td>					
367<td>		
368<b>The cycle structure of a Markoff automorphism over finite fields.</b>  (With Alois Cerbu, Elijah Gunther and Luke Peilen)<br>
369<u>Journal of Number Theory</u>, 2019.</td>
370</tr>	
371
372<tr>
373<td>
374<a href="https://annals.math.princeton.edu/2019/190-3/p02"><img src="j_ico.png"title="Journal" width="100%"></a> 
375</td>
376<td>
377<a href="https://arxiv.org/abs/1603.06267"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
378</td>	
379<td><b>An asymptotic formula for integer points on Markoff-Hurwitz varieties. 
380</b> (With <a href="https://sites.google.com/site/alexandergamburd/">Alex Gamburd</a> and Ryan Ronan)
381<br><u>Annals of Mathematics</u>, 2019.
382</td>
383	
384</tr>
385
386<tr>
387<td>
388<a href="https://aimsciences.org/article/doi/10.3934/jmd.2019020"><img src="j_ico.png"title="Journal" width="100%"></a> 
389</td>
390<td>
391<a href="https://arxiv.org/abs/1809.00579"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
392</td>
393<td><b>Counting saddle connections in a homology class modulo q.
394</b> (With <a href="https://sites.google.com/site/reneruehr">Rene R&#252hr</a>) 
395<br><u> Journal of Modern Dynamics</u>, 2019. Contains an appendix  by 
396<a href="https://webusers.imj-prg.fr/~rodolfo.gutierrez/">Rodolfo Guti&#233rrez-Romo</a> 
397</td>
398
399</tr>
400<td>
401<a href="https://doi.org/10.1007/s00222-019-00891-4"><img src="j_ico.png"title="Journal" width="100%"></a> 
402</td>
403<td>
404<a href="https://arxiv.org/abs/1802.04862"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
405</td>
406<td><b>Matrix group integrals, surfaces, and mapping class groups I: U(n). 
407</b>(With <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>)
408<br><u>Inventiones mathematicae</u>, 2019. 
409</td>
410</tr>
411
412<tr>
413<td>
414<a href="https://doi.org/10.1093/imrn/rny112"><img src="j_ico.png"title="Journal" width="100%"></a> 
415</td>
416<td>
417<a href="https://arxiv.org/abs/1705.09377"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
418</td>	
419<td><b>Counting one sided simple closed geodesics on Fuchsian thrice punctured projective planes. </b>
420<br>
421<u>I.M.R.N.</u>, 2018.
422</td>
423	
424</tr>
425
426<tr>
427<td>
428<a href="https://doi.org/10.1515/crelle-2016-0072"><img src="j_ico.png"title="Journal" width="100%"></a> 
429</td>
430<td>
431<a href="http://arxiv.org/abs/1601.03705"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
432</td>	
433<td>
434<b>Uniform congruence counting for Schottky semigroups in \( \mathrm{SL}_2(\mathbf{Z}) \). </b>  
435(With <a href="https://gauss.math.yale.edu/~ho2/">Hee Oh</a> and Dale Winter)<br>
436<u>Crelle's Journal</u>, 2017. Contains an appendix  written with Jean Bourgain and <a href="http://sites.math.rutgers.edu/~ak1230/">Alex Kontorovich</a>
437</td>
438	
439</tr>
440
441<tr>
442<td>
443<a href=" https://doi.org/DOI:10.1007/s00220-015-2391-z"><img src="j_ico.png"title="Journal" width="100%"></a> 
444</td>
445<td>
446<a href="http://arxiv.org/abs/1310.7977"> <img src="arx_ico3.png"title="arXiv" width="100%"></a> 
447</td>
448<td><b>Arithmetic, zeros, and nodal domains on the sphere.</b> <br>
449<u>Communications in Mathematical Physics</u>, 2015.
450</td>
451		
452</tr>
453
454<tr>
455<td>
456<a href=" https://doi.org/DOI:10.4171/JEMS/500"><img src="j_ico.png"title="Journal" width="100%"></a> 
457</td>
458<td>
459<a href="http://arxiv.org/abs/1112.2004"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
460</td>	
461<td><b>Quantitative spectral gap for thin groups of hyperbolic isometries.</b> <br>
462<u>Journal of the European Mathematical Society</u>, 2015.
463</td>
464	
465</tr>	
466
467<tr >    <th colspan="3", text-align="center"></th>
468</tr>
469<tr >    <th colspan="3", text-align="center">Work not intended for publication</th>
470</tr>
471<tr >    <th colspan="3", text-align="center"></th>
472</tr>
473
474<tr>
475<td>
476</td>
477
478<td>
479<a href="http://arxiv.org/abs/1509.07374"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
480</td>
481<td>	(i) <b>Word measures on unitary groups. </b>  (With <a href="https://sites.google.com/site/doronpuder/">Doron Puder</a>). 
482<br> The results of this preprint are superseded by the paper 'Matrix group integrals, surfaces, and mapping class groups I: U(n)'.
483</td>
484		
485</tr>
486<tr >
487<td>
488</td>
489<td>
490<a href="https://arxiv.org/abs/2106.02555"><img src="arx_ico3.png"title="arXiv" width="100%"></a> 
491</td>
492<td>(ii) <b>Extension of Alon's and Friedman's conjectures to Schottky surfaces.</b>  
493 (With <a href="https://sites.google.com/site/homepageoffredericnaud/">Fr&eacuted&eacuteric Naud</a>)
494<br>
495This is superseded by the paper `Spectral gap for random Schottky surfaces' which contains a more general result with a better proof.
496</td>	
497</tr>	
498
499
500
501	
502
503<tr>
504<td></td><td></td>
505<td>	(iii) <b>Letter to Bram Petri. </b> <a href="./diameter.pdf">Link</a>
506<br> Concerning the relation between diameter and spectral gap on hyperbolic surfaces.
507</td>
508</tr>
509</table>
510
511		
512
513
514  
515</center>
516
517	

518</body>
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