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, accepted for publication in Acta. Math.


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


    Heegaard splittings with bounded combinatorics, in preparation.


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

DISSERTATION

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

 

TEACHING


    Fall 2008: M328K - Introduction to Number Theory

                                    TTh 2:00-3:30 in RLM 7.120

      

    Fall 2009: M392C - The Curve Complex

                                   TTh 12:30-2:00 in RLM 10.176      


    Fall 2010: M408C - Differential and Integral Calculus

                                    TTh 9:30-11:00 in JGB 2.216


    Spring 2011: M367K - Topology I

                                    TTh 12:30-2:00 in RLM 5.122


    Summer 2011: M341 - Linear Algebra and Matrix Theory

                                    MTWThF 10:00-11:30 in RLM 5.104

                       

Office Hours:      M 11:30-12:30 and Th 11:30 - 1:00

 

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, 1 University Station C1200, Austin, TX 78712-0257