## Sarah Pelusespeluse [at] stanford [dot] eduCV |

I am a fifth-year graduate student interested in arithmetic combinatorics and analytic number theory.

- (with S. Prendiville) Quantitative bounds in the non-linear Roth Theorem. arXiv 1903.02592.
- On the polynomial Szemer\'edi theorem in finite fields. accepted at Duke Math. J..
- Three-term polynomial progressions in subsets of finite fields. accepted at Israel J. Math.
- Mixing for three-term progressions in finite simple groups. Math. Proc. Cambridge Philos. Soc., 165(2):279-286, 2018
- On exponential sums over orbits in $\mathbb{F}_p^d$. arXiv 1606.03495.
- Irreducible representations of $SU(n)$ with prime power degree. S\'em. Lothar. Combin. 71 (2013/2014), Art. B71d, 12 pp.
- On zeros of Eichler integrals. Arch. Math. (Basel) Vol. 102, No. 1 (2014), 71-81.
- (with K. Monks and L. Ye) Congruence properties of Borcherds product exponents. Int. J. Number Theory Vol. 89, No. 6 (2013) 1563-1578.
- (with K. Monks and L. Ye) Strings of special primes in arithmetic progressions. Arch. Math. (Basel) Vol. 101, No. 3 (2013), 219-234.