Published

Mathematics Research in Peer-Reviewed Journals:

• Quartic Integral Polynomial Pell Equations (joint with Z. Scherr)--accepted Journal of Number Theory (2024)

• Density of Integers Represented by Quadratic Forms (joint with P.L. Clark, P. Pollack, J. Rouse)--accepted Journal of Number Theory (2023)

• Palindromic Polynomials Over Finite Fields (joint with G. Price)--accepted Pure and Applied Functional Analysis (2023)

• Elementary Proofs of Representation by Ternary Quadratic Forms (joint with B.Rainear)--submitted (2022)

• Quaternary Quadratic Forms with Prime Discriminant (joint with J.Rouse)--accepted Acta Arithmetica (2023)

• The Sum of Four Squares Over Real Quadratic Number Fields--accepted International Journal of Number Theory (2023, to appear 2024)

• Numbers Represented by a Finite Set of Binary Quadratic Forms (joint with C. Donnay, H. Ellers, K. O'Connor, E. Wood)--submitted (2017).

• Classically Integral Quadratic Forms Excepting at Most Two Values (joint with M.Barowsky, W.Damron, A.Mejia, F.Saia, N.Schock)--Proceedings of the AMS, 2018

• A Generalization of Mordell to Ternary Quadratic Forms (joint with S. Blackwell, G. Durham, T.Treece), International Journal of Number Theory, 2016

• GoNIII: More Universal Quaternary Quadratic Forms (joint with J. Hicks), INTEGERS, 2016

• Pairs Trading: An Optimal Selling Rule (joint with K.Kuo, P.Luu, D.Nguyen, E.Perkerson, Q.Zhang), Mathematical Control and Related Fields, 2015

• GoNI: Primes Represented by Binary Quadratic Forms (joint with P.L.Clark, J.Hicks, H.Parshall), INTEGERS, 2013

• GoNII: Universal Quaternary Quadratic Forms (joint with P.L.Clark, J.Hicks, N.Walters), INTEGERS, 2012

• Arithmetic Structure in Sparse Difference Sets (joint with M.Hamel, N.Lyall, N.Walters), Journal of Number Theory, 2010

Expository Publications in Peer-Reviewed Journals:

• The Place of Blogs in the Modern Math World, Notices of the American Mathematical Society (Vol. 67, No. 11, December 2020)

• The Math Blogosphere, Journal of Humanistic Mathematics  (accepted, 2017)

• The Bookshelf: "Summing it Up: From One Plus One to Modern Number Theory", Mathematical Horizons, 2017