About me

I am currently a Chowla Research Fellow at Penn State, working with Bob Vaughan. Previously I was a PhD student supervised by John Friedlander at the University of Toronto. You may wish to view my CV. My primary interests are number theory, combinatorics and harmonic analysis, but I like a good problem from any branch of math. Outside of math I like baseball, snowboarding, golf, playing the guitar and video games. I am a fan of the Ottawa Senators and the Toronto Blue Jays.


I primary am interested in questions lying somewhere in the realm of analytic number theory, additive combinatorics and geometry. I have a particular fondness for questions about equidistribution. Below you can find my preprints and publications.
  • The Additive Structure of Cartesian Products Spanning Few Distinct Distances. To appear in Combinatorica. arXiv
  • (With R. C. Vaughan and R. Zhang) The Least Number with Prescribed Legendre Symbols. To appear in the Journal of Number Theory. arXiv
  • Estimates for Character Sums with Various Convolutions. Submitted. arXiv
  • (With B. Lund and O. Roche-Newton) On distinct perpendicular bisectors and pinned distances in finite fields. Finite Fields and Applications. arXiv
  • Character sums over Bohr sets. Canadian Math. Bulletin. arXiv
  • Capturing forms in dense subsets of finite fields. Acta Arith. 160 (2013), no. 3, 277-284. arXiv
  • (With D. Panario and D. Thompson) Swan-like results for binomials and trinomials over finite fields of odd characteristic. Des. Codes Cryptogr. 61 (2011), no. 3, 273-283.


Iam currently teaching Math 110 (Techniques of Calculus) for PSU World Campus. In the fall of 2016 I taught MATH 141 (Calculus II). In the fall of 2015 I taught Math 231 (Vector Calculus I).


  1. Mail:
  2. Brandon Hanson
  3. Department of Mathematics, Penn State University
  4. McAllister Building
  5. University Park, PA
  6. 16802
  1. e-mail:
  2. b w h 5 3 3 9 "at" p s u "dot" e d u