I am a fourth year PhD student in mathematics at the University of Chicago. My advisor is Alex Eskin. I received my bachelors degree from the University of Waterloo, where I did research with Ken Davidson and Kathryn Hare. You can reach me at alexonlinemail at g-mail.

I am currently partially supported by an NSERC Postgraduate Scholarship, and I have previously been supported by an NSERC Julie Payette Research Scholarship and three NSERC Undergraduate Student Research Awards.

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Preprints

Schwarz triangle mappings and Teichmüller curves I: abelian square-tiled surfaces.
Schwarz triangle mappings and Teichmüller curves II: the Veech-Ward-Bouw-Möller curves.
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.

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Not for Publication

Smillie's Theorem on closed SL_2(R) orbits of quadratic differentials (with Ilya Gekhtman).
Topic Proposal: Translation surfaces and Teichmüller theory.

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Undergraduate Projects

Beurling's Theorem
The Conjugacy Theorems
Convolution of Volume Measures
Homotopy Groups of Spheres: A Very Basic Introduction
The Poincare-Hopf Theorem (with Kael Dixon)
Sard's Theorem
Sperner's Lemma and Brouwer's Fixed Point Theorem
Transcendence Degree

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Last updated: March 2012.