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Education
2003–2009
University of Chicago
Chicago, Illinois
M.S. in Mathematics, June 2005.
Ph.D. in Mathematics, June 2009.
1999–2003
Harvard University
Cambridge, Massachusetts
A.B. in Mathematics, summa cum laude, June 2003.
Junior Phi Beta Kappa.
Teaching
Mentored undergraduate projects on automatic groups, geometric group theory, combinatorial game theory, piecewise-linear topology, knot theory, stochastic processes.
2005–2009
University of Chicago, Polk Brothers Program
Taught middle school students in small groups and whole-classroom settings; assisted Chicago public school teachers with pedagogy and their study of mathematics.
Summer 2009
University of Chicago, Lecturer
Mathematics 195: Mathematical Methods for Social Science.
2005–2006
2008–2009
University of Chicago, Graduate Student Lecturer
Mathematics 131–133: Elementary Functions and Calculus.
Mathematics 153: Calculus.
Mathematics 204–205: Inquiry-based learning (Moore method); analysis in Rn.
2004–2005
University of Chicago, College Fellow
Mathematics 203–205: Analysis in Rn.
Summer 2004
Summer 2006
Summer 2007
University of Chicago, Research Experience for Undergraduates, Mentor
Fall 2006
University of Chicago, Undergraduate Lie Theory Seminar
Taught and mentored high school students in topics including piecewise-linear topology, quaternions, knots and links, game theory, projective geometry, p-adic numbers.
Lectured in a mini-course reviewing point-set topology for incoming graduate students.
2000–2003
Harvard University, Course Assistant
Graded homework and ran weekly recitation sessions for multivariable calculus and linear algebra, representation theory, algebraic topology.
Awards and Fellowships
2003–2005
McCormick Fellowship, University of Chicago
Awarded to the most distinguished scholar in the senior class holding a stipendiary scholarship.
May 2003
Wister Prize, Harvard University
Awarded to the student with the highest record in mathematics.
May 2003
Robert Fletcher Rogers Prize, Harvard University
Awarded to the two students who gave the best talks at the undergraduate mathematics table.
Research interests
I am interested broadly in topology and geometry;
specifically, I study surgery theory, geometric group theory, and
group actions on manifolds.
Conference talks
March 22–24, 2009
Rational Poincaré duality groups
September 8–12, 2008
Lattices with torsion and rational homology manifolds
Other conferences attended
June 14–20, 2009
Będlewo Mathematical Research and Conference Center
March 17–20, 2008
Courant Institute of Mathematical Sciences
March 15–16, 2008
Courant Institute of Mathematical Sciences
July 29–August 3, 2007
Banff International Research Station
April 23–27, 2007
American Institute of Mathematics
September 5–8, 2006
Mathematical Sciences Research Institute
July 3–14, 2006
Centre de recherches math'ematiques
March 20–22, 2006
University of Hawaii, Manoa
June 20–July 15, 2005
Clay Mathematics Institute
March 13–16, 2005
Courant Institute of Mathematical Sciences
Seminar talks
May 20, 2008
Double suspensions of homology spheres
Farb and Friends Student Seminar
November 4, 2008
The α-approximation theorem
Farb and Friends Student Seminar
April 4, 2008
Quaternionic toric varieties
Farb and Friends Student Seminar
March 7, 2008
Hyperbolization of polyhedra
Farb and Friends Student Seminar
October 12, 2007
Classifying high-dimensional manifolds
Farb and Friends Student Seminar
September 27, 2007
Wall's finiteness obstruction
Algebraic topology proseminar
May 29, 2007
Introduction to Surgery
Algebraic topology proseminar
May 11, 2007
PL-unknotting of codimension ≥ 3 knots
Farb and Friends Student Seminar
January 25, 2007
Building Aspherical Manifolds via Davis' Construction
Farb and Friends Student Seminar
November 22, 2006
Approximating L2 invariants by finite-dimensional analogues
L2 Seminar
November 2, 2006
Algebraic topology and distributed computing
Applied algebraic topology seminar
March 7, 2005
The h-cobordism theorem
Shmuel's Student Seminar
November 23, 2004
Wall's finiteness obstruction
Algebraic topology proseminar
November 16, 2004
2-adics and equidissections of squares
Pizza Seminar
October 19, 2004
Introduction to characteristic classes
Algebraic topology proseminar
October 15, 2002
Dissecting squares into equal-area triangles
Harvard Mathematics Table
October 23, 2001
Bounding the volume of hyperbolic 3-manifolds
Harvard Mathematics Table
December 12, 2000
Functions growing faster than any computable function
Harvard Mathematics Table
Professional activities and service
Organized undergraduate research groups; managed graduate student participants.
2006–2009
University of Chicago, Directed Reading Program, Committee Member
Paired undergraduates with graduate student mentors; organized undergraduate talks; designed database-driven website to monitor students' progress.
Moderated a large-group discussion of teaching issues, including initial course design, midquarter course changes, assessment techniques, lecturing styles.