ABOUT ME

I am an Assistant Professor in the Department of Mathematics at The University of Texas at Austin.

ABOUT ME

I am an Assistant Professor in the Department of Mathematics at The University of Texas at Austin.

RESEARCH

My research interests include Hyperbolic Geometry, Kleinian Groups, Geometric Group Theory, Low Dimensional Topology and Teichmüller Theory.

ARTICLES

Big Heegaard Distance implies finite mapping class group, Topology and Its Applications 154 (2007), no. 16, 2939--2949.

Heegaard splittings and pseudo-Anosov Maps, with Juan Souto, Geometric and Functional Analysis 19 (2009), no. 4, 1195--1228.

Non-realizability and ending laminations - Proof of the Density Conjecture, with Juan Souto, Acta. Math. 209 (2012), no. 2, 323--395.

Bounded combinatorics and uniform models for hyperbolic 3-manifolds, with Jeff Brock, Yair Minsky and Juan Souto, preprint arXiv:1312.2293.

Distributional limits of Riemannian Manifolds and graphs with sublinear genus growth, with Pekka Pankka and Juan Souto, Geometric and Functional Analysis 24 (2014), 322--359.

Splittings, models and bounds in hyperbolic geometry, with Jeff Brock, Yair Minsky and Juan Souto, in preparation.

Ergodic decompositions for folding and unfolding paths in outer space, with Alexandra Pettet and Patrick Reynolds, in preparation.

TEACHING

Fall 2008: M328K - Introduction to Number Theory

Fall 2009: M392C - The Curve Complex

Spring 2012: M392C - Topics in Hyperbolic Geometry

Fall 2012: M361C - Introduction to Real Analysis

Spring 2013: M367K - Topology I

Fall 2013: M408C - Differential and Integral Calculus

TTh 12:30 - 2:00 in PAR 303

Office Hours: T 11:00-12:30 and Th 2:00 - 3:00

CONTACT INFORMATION

E-Mail: my first name at math dot utexas dot edu

Office: RLM 12.156

(512) 471 - 1184

Mailing Address: Department of Mathematics, RLM 8.100, 2515 Speedway, Stop C1200, Austin, TX 78712-1202