Current Projects:

• Concordance Among Holdouts [with E. G. Weyl].
• Matching in Networks with Bilateral Contracts [with J. W. Hatfield].
• Tipping Points and Agglomeration Bubbles [with W. R. Kerr].
• Pushing Hypercubes Around [with Z. Abel]. (Preprint, under revision.)
• Complete Characterization of the Schulze-Pillot Lattice with an SL2(Z/71Z) Action [with N. D. Elkies and Z. Abel]. (In preparation.)

Economics (see all):

• Many-to-Many Matching with Contracts [with J. W. Hatfield]. (Working paper, first revision.)
• Information Can Wreck Cooperation: A Counterpoint to Kandori (1992) [with Y. Kamada]. (Forthcoming, Economics Letters.) (Preprint.)
• Matching with Preferences over Colleagues Solves Classical Matching. (Forthcoming, Games and Economic Behavior.) (Preprint.)
• Dynamic Position Auctions with Consumer Search. (Proceedings of The 5th International Conference on Algorithmic Aspects in Information and Management (AAIM), Lecture Notes in Computer Science 5564, (2009), pp. 240-250.) (Preprint.)
• Salary Erosion and Federal Judicial Resignation. (Working paper, first revision.)

Mathematics (see all):

• Weighted Generating Functions and Configuration Results for Type II Lattices and Codes. (Undergraduate thesis, (2009).) (Awarded the Thomas Temple Hoopes Prize.)
• Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80 [with N. D. Elkies]. (Proceedings of the American Mathematical Society 138(1), (2010), pp. 105-108.) (Preprint.)
• On the Classification of Type II Codes of Length 24 [with N. D. Elkies]. (Forthcoming, SIAM Journal on Discrete Mathematics.)
• Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions [with S. Hong]. (Proceedings of the American Mathematical Society 138(3), (2010), pp. 809-813.) (Preprint.)
• Configurations of Extremal Even Unimodular Lattices. (International Journal of Number Theory 5(3), (2009), pp. 457-464.) (Preprint.)

Musicology (see all):

• Leonard Bernstein's Doodles: Reading Outside the Lines at the Library of Congress. (Journal of the Society for American Music 3(1), (2009), pp. 26-33. (As an appendix to Leonard Bernstein's Jewish Boston: Cross-Disciplinary Research in the Classroom by Carol J. Oja and Kay Kaufman Shelemay.)) (Originally presented as "Leonard Bernstein's Doodles: Grasping Genius Through Graphology" at Leonard Bernstein, Boston to Broadway: Concerts and Symposia at Harvard University, October 14, 2006.)

Current Fellowships: Harvard Real Estate Academic Initiative Faculty Grant [with E. G. Weyl] (2009-present), National Science Foundation Graduate Research Fellowship (2009-2011)

Current Affiliations: Harvard Business School, Harvard University Department of Economics, Harvard Institute for Quantitative Social Science, Harvard EconCS Group

Selected Awards: AMS-MAA-SIAM Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student (2010), George Caspar Homans Prize (2009), Thomas Temple Hoopes Prize (2009), First Place American Mathematical Society Karl Menger Prize (2005)