**Invited Address:**

*"Measuring PRISE's Success"*- Harvard College PRISE Anniversary Celebration, June 19, 2015. (Transcript.)
*"Crisp Printing and Small Type"*- ScienceMONTGOMERY Award Ceremony, March 20, 2011. (Transcript.)

**Surveys, and Similar (see also):**

*"Generalized Matching Market Design"*- Fields Institute "Conference on Optimization, Transportation and Equilibrium in Economics," September 15, 2014. (Video.)
*"Recent Advances in Generalized Matching Theory"*(joint with John William Hatfield)- Becker Friedman Institute for Research in Economics and Stevanovich Center for Financial Mathematics "Matching Problems: Economics meets Mathematics" conference, June 4, 2012. (Slides.)

**Plenary:**

*"Theory, Practice, and Engineering in (Generalized) Matching Market Design"*- Lunch seminar, Center for Research on Computation and Society, November 20, 2013. (Video.)

**Educational:**

*"Theory, Practice, and Engineering in Market Design"*- Distinguished lecture, Harvard College Program for Research in Science and Engineering (PRISE), July 22, 2014.
- Distinguished lecture, Harvard College Program for Research in Science and Engineering (PRISE), July 11, 2013.
- Distinguished lecture, Harvard College Program for Research in Science and Engineering (PRISE), July 5, 2012.
- Becker Friedman Institute Summer Research Experience for Undergraduates, June 29, 2012.

*"How much do you bid?"*- Splash 2009 (run by MIT's Educational Studies Program), November 21, 2009.
- Guest lecture, The Math Circle, May 3, 2009.
*"Why matchmakers?"*- Tea and Math (at MIT's Random Hall), April 18, 2009.
- Spark 2009 (run by MIT's Educational Studies Program), March 7, 2009.
- Guest lecture, The Math Circle, December 7, 2008.
*"Microeconomics in 50 Minutes"*- Splash 2009 (run by MIT's Educational Studies Program), November 21, 2009.
- Spark 2009 (run by MIT's Educational Studies Program), March 7, 2009.
*"Quadratic Form Representation Theory in One Hour"*- Guest lecture, The Math Circle, October 21, 2007.

**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:**

*"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.