Selected
Publications
Polynomial averages and pointwise
ergodic theorems on nilpotent groups, I: Step two groups
(with A. Ionescu. M.A. Mirek, T. Szarek)\\ Inventiones
Math. 168, (2023), 1-118
Simplices in thin subsets of Euclidean
spaces (with A.
Iosevich)\\
Analysis PDE, 16 no. 7, (2023), 1485-1496
Weak
hypergraph regularity and applications to geometric Ramsey
theory (with N.
Lyall)\\
Transactions Amer. Math. Soc.
B 9.5, (2022), 160-207.
Discrete multilinear maximal
operators associated to simplices (with B. Cook, N. Lyall)\\
Journal of the London Math. Soc., v 104/4, (2021), 1491-1514.
Distance graphs and sets of positive
upper density in R^d (with
N. Lyall)
Analysis PDE v.13/3 (2020), 385-400.
Spherical
configurations over finite fields (with N. Lyall, H.
Parshall)\\
American J. Math. v. 142/2. (2020) 373-404.
A
multidimensional Szemeredi theorem in the primes (with B.
Cook, T. Titichetrakun)
Annals of Combinatorics 22/4, (2018) 711-768.
Product of simplices and
sets of positive density in R^d (with N. Lyall)
Math. Proc. Cambridge Phil. Soc., v 165/1, (2018) 25-51.
A Roth type theorem for dense subsets of
R^d (with B. Cook, M. Pramanik)\\
Bull. London Math. Soc., v 49/4, pp. 1473-1489, 2017 )
Diophantine equations in the primes
(with B. Cook)
Inventiones Math. v 198/3, (2014) 701-737.