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Publications

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  • 2009
  • Article

On Universal Binary Hermitian Forms

By: Scott Duke Kominers
Earnest and Khosravani, Iwabuchi, and Kim and Park recently gave a complete classification of the universal binary Hermitian forms. We give a unified proof of the universalities of these Hermitian forms, relying upon Ramanujan's list of universal quadratic forms... View Details
Keywords: Mathematical Methods
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  • September 2021
  • Article

Oh's 8-Universality Criterion Is Unique

By: Scott Duke Kominers
Using the methods developed for the proof that the 2-universality criterion is unique, we partially characterize criteria for the n-universality of positive-definite integer-matrix quadratic forms. We then obtain the uniqueness of Oh’s 8-universality criterion as an... View Details
Keywords: N-universal Lattice; 8-universal Lattice; Universality Criteria; Quadratic Forms; Additively Indecomposable; Mathematical Methods
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  • 2013
  • Article

Minimal S-Universality Criteria May Vary in Size

By: Noam D. Elkies, Daniel M. Kane and Scott Duke Kominers
In this note, we give simple examples of sets $\mathcal{S}$ of quadratic forms that have minimal $\mathcal{S}$-universality criteria of multiple cardinalities. This answers a question of Kim, Kim, and Oh [KKO05] in the negative. View Details
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  • 25 Jul 2017
  • First Look

First Look at New Research and Ideas: July 25, 2017

https://www.hbs.edu/faculty/Pages/item.aspx?num=52954 July 2017 Public Choice Who Will Vote Quadratically? Voter Turnout and Votes Cast Under Quadratic Voting By: Kaplow, Louis, and Scott Duke Kominers Abstract—Who will vote View Details
Keywords: Carmen Nobel
  • 14 Mar 2017
  • First Look

First Look at New Research, March 14

covariance of bond and stock returns. Log bond yields and term premia are quadratic in these state variables, with term premia determined by the nominal-real covariance. The concavity of the yield curve—the level of intermediate-term bond... View Details
Keywords: Sean Silverthorne
  • 29 Jan 2013
  • First Look

First Look: Jan. 29

praised as the engine of growth of society and castigated for being the source of the weakness of the economy. In this paper, we review the literature on financial innovation and highlight the similarities and differences between financial innovation and other View Details
Keywords: Sean Silverthorne