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, Low Dimensional Topology and Teichmüller Theory.

GENERAL

Curriculum Vitae



Statement of Research

 

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.


    Quasi-convexity and Shrinkwrapping, Algebraic and Geometric Topology 9 (2009), 2443--2478.


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


    Revisiting Thurston’s uniform injectivity theorem, with Juan Souto, in preparation.


    Heegaard splittings with bounded combinatorics, in preparation.


    Bounded combinatorics and uniform models for hyperbolic 3-manifolds, with Jeff Brock, Yair Minsky and Juan Souto, in preparation.


    Distributional limits of Riemannian Manifolds and graphs with sublinear genus growth, with Pekka Pankka and Juan Souto, preprint arXiv:1208:2130v1.

 

DISSERTATION

Heegaard splittings and hyperbolic geometry (5/12/2005)

 

TEACHING


    Fall 2008: M328K - Introduction to Number Theory

                                   

    Fall 2009: M392C - The Curve Complex

                                  

    Fall 2010: M408C - Differential and Integral Calculus

                                  

    Spring 2012: M392C - Topics in Hyperbolic Geometry

                                  

    Fall 2012: M361C - Introduction to Real Analysis


    Spring 2013: M367K - Topology I

                                 

                               TTh 12:30 - 2:00 in RLM 5.122


Office Hours:      T 2:00-3:30 and W 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