sarah.peluse [at] maths [dot] ox [dot] ac [dot] uk
I am an NSF postdoc at the University of Oxford. I am interested in arithmetic combinatorics and analytic number theory.
Papers and preprints
Bounds for sets with no polynomial progressions
. arXiv 1909.00309.
(with S. 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
MATH 51H section notes, Fall 2016