Michael Magee

michael.r.magee@durham.ac.uk

About me

I'm currently an Assistant Professor at Durham University.

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 number theory, dynamics and geometry.

Papers and preprints

Unitary Group Integrals, Surfaces, and Mapping Class Groups. (With Doron Puder). *Submitted.*

*Two 45 minute talks:*
Talk 1
(Background and basic results)
Talk 2
(Overview of main results and issues involved)

An asymptotic formula for integer points on Markoff-Hurwitz surfaces (With Alex Gamburd and Ryan Ronan). *Submitted.*

*One hour talk.*
Talk

Word measures on unitary groups. (With Doron Puder).

The results of this preprint have now been significantly improved in the paper 'Unitary Group Integrals, Surfaces, and Mapping Class Groups'. On the other hand, this paper contains useful extra background on the more recent results.

The results of this preprint have now been significantly improved in the paper 'Unitary Group Integrals, Surfaces, and Mapping Class Groups'. On the other hand, this paper contains useful extra background on the more recent results.

Uniform congruence counting for Schottky semigroups in SL_2(Z). (With Hee Oh and Dale Winter). *Journal für die reine und angewandte Mathematik (Crelle's Journal), published online Jan 2017* DOI: https://doi.org/10.1515/crelle-2016-0072

Appendix to above: Thermodynamic expansion to arbitrary moduli. (With Jean Bourgain and Alex Kontorovich).

Appendix to above: Thermodynamic expansion to arbitrary moduli. (With Jean Bourgain and Alex Kontorovich).

* Undergraduate coauthors.

Past teaching

Complex Analysis Epiphany 2018.

Group expansion and number theory Spring 2017.

Number Theory Spring 2017.

Linear Algebra with Applications Fall 2016.

Introduction to Functional Analysis Spring 2016.

Spectral Geometry Spring 2016.

Some Toral eigenfunctions