Alex Wright's Home Page

I am PhD student in mathematics at the University of Chicago. I plan to graduate in Spring 2014. My advisor is Alex Eskin.

I have been appointed as a Clay Research Fellow for a five year term starting July 2014. I plan to spend most of the next three years at Stanford University, with visits to MSRI (January to May 2015) and IAS (September to December 2015).


Curriculum vitae


Papers

Classification of higher rank orbit closures in H^odd(4) (with David Aulicino and Duc-Manh Nguyen)

Hodge-Teichmüller planes and finiteness results for Teichmüller curves (with Carlos Matheus), Duke Math. J. accepted pending revision

Non-Veech surfaces in H^hyp(4) are generic (with Duc-Manh Nguyen)

Cylinder deformations in orbit closures of translation surfaces

The field of definition of affine invariant submanifolds of the moduli space of abelian differentials, Geom. Topol. to appear

Schwarz triangle mappings and Teichmüller curves: the Veech-Ward-Bouw-Möller curves, Geom. Funct. Anal. 2013

Schwarz triangle mappings and Teichmüller curves: abelian square-tiled surfaces, J. Mod. Dyn. 2012

Sums of Adjoint Orbits and L^2--Singular Dichotomy for SU(m), Adv. in Math. 2011

Operator Algebras with Unique Preduals (with Ken Davidson), Canad. Math. Bull. 2011

Regular Orbital Measures on Lie Algebras, Colloq. Math. 2008


A video of a one hour talk I gave at ICERM in November 2013 on orbit closures of translation surfaces.


In July 2014 I will give a series of lectures at the Graduate Workshop on Moduli of Curves at Stony Brook University.


Not for Publication

A brief summary of Otal's proof of marked length spectrum rigidity

Deligne's Theorem on the semisimplicity of variations of Hodge structures

Smillie's Theorem on closed SL_2(R) orbits of quadratic differentials (with Ilya Gekhtman)

Topic Proposal: Translation surfaces and Teichmüller theory


Undergraduate Projects


Informal Dynamics Seminar