Expository Addresses, Talks, and Presentations


Invited Address:

Surveys, and Similar (see also):


At the Harvard Math Table:

    "Lattice Theory for the Working Matchmaker," October 7, 2014: A survey of the theory and practical applications of generalized matching, focusing on fixed-point characterizations, lattice structure theorems, and cadet--branch matching.
    "Large Games IV: A New Hope," November 16, 2010: A proof of Bodoh-Creed's "Death Star" of a theorem on the approximation of large economies by continua.
    "The Rap Battle of the Millennium," May 5, 2009: Zachary Abel and I rap our way through the seven Clay Mathematics Institute Millennium Prize Problems in the first-ever "sung through" math table lecture.
    "Koch's Condition on Type II Codes of Length 24," April 14, 2009: An introduction to binary linear codes and harmonic weight enumerators, with an application to a theorem of Koch on the possible tetrad systems of Type II codes of length 24.
    "Who wants to be a Math Concentrator?," March 17, 2009: A panel of current mathematics concentrators advising prospective concentrators in mathematics and related fields.
    "Matchmaker, Matchmaker, Clear Out My House," November 11, 2008: A thirty-minute course in the theory of matching, introducing the marriage and college admissions problems, the Gale-Shapley algorithm, unraveling, and generalized matching.
    "C=15," October 30, 2007 (awarded the top Robert Fletcher Rogers Prize): A discussion of recent results in quadratic form representation theory, focusing on the Conway-Schneeberger "Fifteen Theorem," the Bhargava-Hanke "290 Theorem," and Kim, Kim, and Oh's criterion results for representations of higher-rank forms.
    "Opetopia," November 21, 2006: An introduction to the theory and applications of $n$-categories, focusing especially on the "opetopic" realization of $n$-category theory.
    "Metric-Preserving Functions," February 21, 2006: An introduction to the theory of metric-preserving functions, those functions $f:[0,\infty)\to[0,\infty)$ such that for any metric space $X$ with metric $d$, $f\circ d$ is a metric on $X$.

On The Harvard College Mathematics Review:

Panel Presentations:

  • "Economics Graduate School Panel"
    • Harvard Undergraduate Economics Association, October 26, 2009.
  • "Exploring Graduate School Options"
    • Harvard Office of Career Services, September 22, 2009.
  • "What Helps Students Learn: A Discussion with Undergraduates"
    • Derek Bok Center Fall Teaching Conference, August 28, 2009.
  • "Summer and International Opportunities"
    • Harvard Alumni Association Meeting, February 1, 2008.
  • "The Winning PRISE Experience"
    • Harvard Alumni Association Meeting, February 1, 2007.

Panel Moderation:

  • "Nobel Laureate Panel"
    • Center for Excellence in Education 30th Anniversary Celebration, October 26, 2013.