Currenty,

I am a student of Dr. Cameron Gordon in my fourth year of doctoral studies at the University of Texas.

This summer I was a graduate research assistant for Dr. Felipe Voloch, so technically that means I wrote programs for Dr. Voloch in Pari/GP.

Currently I am the grader for the graduate Algebraic Topology and undergrad Applied Linear Algebra courses.

Talks and Seminars at UT

Candidacy Exam: Combinatorial Knot Heegaard Floer Homology
Spring 2009
This talk was my formal candidacy exam.

'Combinatorial Knot Heegaard Floer Homology" (Candidacy): Slides (PDF)

Junior Topology
Spring 2008-present

''Computations with Heegaard Floer Homology" (Fall 2008): Slides (PDF)
"Khovanov Homology" (Option talk; Spring 2008): Notes (PDF)
"Khovanov Homology" (Option talk; Spring 2008): Slides (PDF)

Seminar in Heegaard Floer Homology
Fall 2008-Spring 2009
This was an informal seminar organized between a few graduate students and our advisors, and was ongoing during the 2008-2009 academic year.

Geometry and Topology Seminar
Fall 2007
This was a coursework seminar, the focus of which was Milnor's "Morse Theory".

''Homotopy Type in Terns of Critical Value": Notes (PDF)
''Curvature and Focal Points of Manifolds in Euclidean Space"
''Geodesics and Arc Length"
''The Cartan Hadamard Theorem": Notes (PDF)

Sophex Seminar
Spring 2006-Spring 2008

"Khovanov Homology" (Spring 2008): Notes (PDF)
"Khovanov Homology" (Spring 2008): Slides (PDF)
"Finitely generated subgroups of a free group" (Spring 2006): Notes (PDF)

Conferences and Schools

First National Forum of Young Topologists, Tulane University, New Orleans, Louisianna, November 2009
Sixth Annual Nebraska Conference for Undergraduate Women in Mathematics, Lincoln, Nebraska, February 2004
Math in Moscow, The Independent University of Moscow, Russia, Fall 2004

Undergraduate math activities have been relegated to another page.