### About me

I am currently a limited-term assistant professor at the University of Georgia. Previously, I was a Chowla Research Fellow at Penn State, working with Bob Vaughan. Before that, I was a PhD student supervised by John Friedlander at the University of Toronto. 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.

### Research

I am interested in questions lying somewhere in the realm
of analytic number theory, additive combinatorics and harmonic analysis. I have a
particular fondness for questions about equidistribution, as well as (additive combinatorial) inverse problems. Below you can
find my preprints and publications.

- (With G. Petridis) A question of Bukh on sums of dilates.
*Submitted*. arXiv - (With O. Roche-Newton and M. Rudnev) Higher convexity and iterated sum sets.
*Submitted*. arXiv - Littlewoodâ€™s problem for sets with multidimensional structure.
*IMRN*, to appear. arXiv - (With G. Petridis) Refined Estimates Concerning Sumsets Contained in the Roots of Unity.
*Proceedings of the London Mathemathical Society*, to appear. arXiv - Long regularly-spaced and convex sequences in dense sets of integers.
*Accepted to J. Combin. Theory. Ser. A*. arXiv - (With O. Roche-Newton and D. Zhelezov) On iterated product sets with shifts II.
*Algebra and Number Theory*, to appear. arXiv - (With O. Roche-Newton and D. Zhelezov) On iterated product sets with shifts.
*Mathematika*, 2019. - (With R. C. Vaughan) Density of binary quadratic forms.
*Acta Artihmetica*, 2020. - Additive Correlation and the Inverse Problem for the Large Sieve.
*Math. Proc. Camb. Phil. Soc.*, 2018. arXiv - (With A. Zaman) The density of numbers represented by diagonal forms of large degree.
*Mathematika*, 2018. arXiv - The Additive Structure of Cartesian Products Spanning Few Distinct Distances.
*Combinatorica*, 2017. arXiv - (With R. C. Vaughan and R. Zhang) The Least Number with Prescribed Legendre Symbols.
*Journal of Number Theory*, 2017. arXiv - Estimates for Character Sums with Various Convolutions.
*Acta Arithmetica*, 2017. arXiv - (With B. Lund and O. Roche-Newton) On distinct perpendicular bisectors and pinned distances in finite fields.
*Finite Fields and Applications*, 2016. arXiv - Character sums over Bohr sets.
*Canadian Math Bulletin*, 2015. arXiv - Capturing forms in dense subsets of finite fields.
*Acta Arithmetica*, 2013. arXiv - (With D. Panario and D. Thompson) Swan-like results for binomials and trinomials over finite fields of odd characteristic.
*Designs, Codes and Cryptography*, 2011.

### Teaching

I am currently teaching Math 2250 (Calculus I). At Penn State I taught Math 312 (Real Analysis), Math 110 (Techniques of Calculus), Math 141 (Calculus II) and Math 231 (Vector Calculus I).

### Contact

**Mail**:- Brandon Hanson
- Department of Mathematics, University Georgia
- Boyd Graduate Studies Research Center
- Athens, GA
- 30602

**e-mail**:- b h 4 3 0 3 2 "at" u g a "dot" e d u