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

I am a Veblen research instructor at Princeton/IAS interested in arithmetic combinatorics and analytic number theory.

- (with K. Soundararajan) Almost all entries in the character table of the symmetric group are multiples of any given prime. arXiv 2010.12410.
- On even entries in the character table of the symmetric group. arXiv 2007.06652.
- An asymptotic version of the prime power conjecture for perfect difference sets. arXiv 2003.04929.
- (with Sean Prendiville) A polylogarithmic bound in the non-linear Roth Theorem. arXiv 2003.04122. Accepted at IMRN.
- Bounds for sets with no polynomial progressions. arXiv 1909.00309. Accepted at Forum of Mathematics, Pi.
- (with Sean Prendiville) Quantitative bounds in the non-linear Roth Theorem. arXiv 1903.02592.
- On the polynomial Szemer\'edi theorem in finite fields. Duke Math. J. 168 (2019), no. 5, 749-774.
- Three-term polynomial progressions in subsets of finite fields. Israel J. Math. 228 (2018), no. 1, 379-405.
- Mixing for three-term progressions in finite simple groups. Math. Proc. Cambridge Philos. Soc. 165(2):279-286, 2018