**Alex Wright's Home Page**

I obtained by PhD in mathematics at the University of Chicago in Spring 2014 under Alex Eskin.

I have been appointed as a Clay Research Fellow for a five year term starting July 2014. I will be a postdoc at Stanford University for the next three years, with planned 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), J. Eur. Math. Soc. to appear

Hodge-Teichmüller planes and finiteness results for Teichmüller curves (with

Carlos Matheus), Duke Math. J. to appear

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

Duc-Manh Nguyen), Geom. Funct. Anal. to appear

Cylinder deformations in orbit closures of translation surfaces Geom. Topol. to appear

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### Not for Publication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