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Curriculum Vitae

Education

University of Chicago
Chicago, Illinois
2003–2009
M.S. in Mathematics, June 2005.
Ph.D. in Mathematics, June 2009.
Harvard University
Cambridge, Massachusetts
1999–2003
A.B. in Mathematics, summa cum laude, June 2003.
Junior Phi Beta Kappa.

Teaching

The Ohio State University, Zassenhaus Assistant Professor
2009–present
Mathematics 153: Calculus and Analytic Geometry III.
Mathematics 254: Calculus and Analytic Geometry IV.
Mathematics 660: Introductory Complex Analysis.
Mathematics 953: Topics in Topology
Mathematics 345: Foundations of Higher Mathematics
Mathematics 765: Smooth Manifolds
The Ohio State University, Ross Mathematics Program
Summer 2011
Summer 2010
Held a number theory recitation for high school students; taught a piecewise-linear topology course for undergraduate and high school students.
University of Chicago, Directed Reading Program, Mentor
2004–2009
Mentored undergraduate projects on automatic groups, geometric group theory, combinatorial game theory, piecewise-linear topology, knot theory, stochastic processes.
University of Chicago, Polk Brothers Program
2005–2009
Taught middle school students in small groups and whole-classroom settings; assisted Chicago public school teachers with pedagogy and their study of mathematics.
University of Chicago, Graduate Student Lecturer
2005–2006
2008–2009
Mathematics 131–133: Elementary Functions and Calculus.
Mathematics 153: Calculus.
Mathematics 204–205: Inquiry-based learning (Moore method); analysis in Rn.
University of Chicago, College Fellow
2004–2005
Mathematics 203–205: Analysis in Rn.
University of Chicago, Research Experience for Undergraduates, Mentor
Summer 2004
Summer 2006
Summer 2007
University of Chicago, Undergraduate Lie Theory Seminar
Fall 2006
Canada/USA Mathcamp, Mentor
Summer 2004
Summer 2005
Taught and mentored high school students in topics including piecewise-linear topology, quaternions, knots and links, game theory, projective geometry, p-adic numbers.
University of Chicago, Warm Up Program, Lecturer
September 2005
Lectured in a mini-course reviewing point-set topology for incoming graduate students.
Harvard University, Course Assistant
2000–2003
Graded homework and ran weekly recitation sessions for multivariable calculus and linear algebra, representation theory, algebraic topology.

Awards and Fellowships

NSF Graduate Research Fellowship
2003–2008
McCormick Fellowship, University of Chicago
2003–2005
Palfrey Exhibition, Harvard University
May 2003
Awarded to the most distinguished scholar in the senior class holding a stipendiary scholarship.
Wister Prize, Harvard University
May 2003
Awarded to the student with the highest record in mathematics.
Robert Fletcher Rogers Prize, Harvard University
May 2003
Awarded to the two students who gave the best talks at the undergraduate mathematics table.
Certificate of Distinction in Teaching
Derek Bok Center for Teaching and Learning
Fall 2000

Invited talks

Projective Planes
OSU Radical Pi
April 20, 2011
CAT(0) square complexes
OSU Math Circle
April 17, 2011
B-bounded finiteness
University of Michigan
March 31, 2011
Rational Poincaré duality and controlled symmetric signature
Notre Dame
March 4, 2010
Dividing a square into triangles of equal-area
OSU Radical Pi
January 13, 2010

Conference talks

B-bounded finiteness
Spring Topology and Dynamics Conference
The University of Texas at Tyler
March 17–19, 2011
Rational Poincaré duality groups and controlled symmetric signature
Workshop in Geometric Topology
Colorado College
June 10–12, 2010
Rational Poincaré duality groups and controlled symmetric signature
Spring Topology and Dynamics Conference
Mississippi State University
March 18–20, 2010
Rational Poincaré duality groups
Ferryfest
University of Chicago
March 22–24, 2009
Lattices with torsion and rational homology manifolds
Topology of Stratified Spaces
Mathematical Sciences Research Institute
September 8–12, 2008

Other conferences attended

Singularities in Geometry and Topology
Courant Institute of Mathematical Sciences
March 17–20, 2008
AMS Special Session on Geometric Topology
Courant Institute of Mathematical Sciences
March 15–16, 2008
Topological and Geometric Rigidity
Banff International Research Station
July 29–August 3, 2007
Problems in Geometric Group Theory
American Institute of Mathematics
April 23–27, 2007
Nil Phenomena in Topology
Vanderbilt University
April 14–15, 2007
Introductory Workshop on Computational Application of Algebraic Topology
Mathematical Sciences Research Institute
September 5–8, 2006
Conference on Geometric Group Theory
Centre de recherches math'ematiques
July 3–14, 2006
Workshop on Group Actions and Rigidity
University of Hawaii, Manoa
March 20–22, 2006
Ricci Flow, 3-manifolds, and Geometry
Clay Mathematics Institute
June 20–July 15, 2005
Submanifolds, Singular Varieties and Stratified Spaces
Courant Institute of Mathematical Sciences
March 13–16, 2005
Braids, Links, and Mapping Class Groups
Columbia University
March 15–20, 2005
Conference on Low-dimensional topology
University of Virginia
December 15–19, 2004

Seminar talks

B-bounded finiteness
OSU Topology Seminar
February 15, 2011
A first talk on surgery
OSU Topology Seminar
October 5, 2010
Rational Poincaré duality and controlled symmetric signature
OSU Topology Seminar
March 2, 2010
Rational Poincaré duality groups
OSU Topology Seminar
November 24, 2009
Double suspensions of homology spheres
Farb and Friends Student Seminar
May 20, 2008
The α-approximation theorem
Farb and Friends Student Seminar
November 4, 2008
Quaternionic toric varieties
Farb and Friends Student Seminar
April 4, 2008
Hyperbolization of polyhedra
Farb and Friends Student Seminar
March 7, 2008
Classifying high-dimensional manifolds
Farb and Friends Student Seminar
October 12, 2007
Wall's finiteness obstruction
Algebraic Topology Proseminar
September 27, 2007
Introduction to Surgery
Algebraic Topology Proseminar
May 29, 2007
PL-unknotting of codimension ≥ 3 knots
Farb and Friends Student Seminar
May 11, 2007
Building Aspherical Manifolds via Davis' Construction
Farb and Friends Student Seminar
January 25, 2007
Approximating L2 invariants by finite-dimensional analogues
L2 Seminar
November 22, 2006
Algebraic topology and distributed computing
Applied algebraic topology seminar
November 2, 2006
The h-cobordism theorem
Shmuel's Student Seminar
March 7, 2005
Wall's finiteness obstruction
Algebraic Topology Proseminar
November 23, 2004
2-adics and equidissections of squares
Pizza Seminar
November 16, 2004
Introduction to characteristic classes
Algebraic Topology Proseminar
October 19, 2004
Dissecting squares into equal-area triangles
Harvard Mathematics Table
October 15, 2002
Bounding the volume of hyperbolic 3-manifolds
Harvard Mathematics Table
October 23, 2001
Functions growing faster than any computable function
Harvard Mathematics Table
December 12, 2000

Professional activities and service

University of Chicago, Directed Reading Program, Committee Member
2006–2009
Paired undergraduates with graduate student mentors; organized undergraduate talks; designed database-driven website to monitor students' progress.
University of Chicago, Center for Teaching and Learning, Panelist
September 2007
September 2008
Moderated a large-group discussion of teaching issues, including initial course design, midquarter course changes, assessment techniques, lecturing styles.