am interested in low dimensional topology, symplectic geometry,
and knot theory, particularly knot homology theories and
categorification. At the moment I am especially interested in the
relationship between knot Floer
homology and various branched cover constructions.
wrote a paper
proving a rank inequality for the knot Floer homology of the
branched double cover of the three sphere over a knot. It has
been accepted for publication in Algebraic & Geometric
wrote a paper about
a localization theorem for the link Floer homology of
doubly-periodic knots that recovers some classical results
concerning their geometry.
I am the teaching assistant for Math G4307: Algebraic Topology I.
Summer 2012 I was a teaching assistant for the Columbia
Spring 2012 I was the teaching assistant for Math G4308:
Algebraic Topology II.
Fall 2011 I was the teaching assistant for Math
G4307: Algebraic Topology.
Summer 2011 I was the instructor for Math
S1102D: Calculus II.
Summer 2011 I was a teaching assistant for the Columbia
Spring 2011 I was the teaching assistant for Math
W4053: Introduction to Algebraic Topology and Math
W4052: Knot Theory.
Fall 2010 I was the instructor for Math
V1101.12: Calculus 1.
was a teaching assistant for:
S2010: Linear Algebra in Summer 2010
S1202: Calculus IV in Summer 2010
W4041: Introduction to Modern Algebra in Fall 2009
S1101: Calculus I in Summer 2009
S1003: College Algebra and Geometry in Summer 2009
1b: Calculus II in Spring 2006 (at Harvard)
1a: Calculus I in Fall 2005 (at Harvard)