Mathematics Research


Research Interests: Quadratic form representation theory, Even unimodular lattices, Modular forms, Computational geometry, Category theory

Affiliations: Harvard Center of Mathematical Sciences and Applications (2015-present), Harvard Program for Evolutionary Dynamics (2012-2016), Duluth Undergraduate Research Program (honorary, 2010), Center for Excellence in Education Research Science Institute (RSI) (2004-present), Harvard University Department of Mathematics (2005-2009), Harvard College Program for Research in Science and Engineering (PRISE) (2006; 2008)

Grants and Fellowships: AMS-Simons Travel Grant (2011-2014), Harvard Mathematics Department Highbridge Fellowship (2008), Harvard College Program for Research in Science and Engineering Fellowship (2006), Center for Excellence in Education Research Science Institute Summer Scholarship (2004)

Awards: Center for Excellence in Education Alumni Award for Outstanding Achievement in STEM and Business (2013), St. Mark's Institute of Mathematics Great Math Challenge Award [with P. M. Kominers] (2010), AMS-MAA-SIAM Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student (2010), Thomas Temple Hoopes Prize (2009), First Place Robert Fletcher Rogers Prize (2008), First Place American Mathematical Society Karl Menger Prize (2005)

Number Theory Papers:

Computational Geometry Papers:

Other Papers:

Short Articles:

Comments:

Expository Articles:

Collaborators: Timothy G. Abbott, Zachary Abel, Brad Ballinger, Nadia Benbernou, Prosenjit Bose, David Charlton, Justin G. Chen, Sebastien Collette, Mirela Damian, Erik D. Demaine, Martin L. Demaine, Vida Dujmovic, Noam D. Elkies, Robin Flatland, Sherry Gong, Andrea Hawksley, Shaofang Hong, Ferran Hurtado, Daniel M. Kane, Paul M. Kominers, Stefan Langerman, Daniel Litt, Attila Por, Robert Schweller, Robert W. Sinnott, David R. Wood