The papers are listed in reversed chronological order according to the publication year.
  1. (with W. Xu) A robust version of Freiman's 3k-4 Theorem and applications.
          Submitted. pdf

  2. (with A. Granville) When does the Bombieri-Vinogradov Theorem hold for a given multiplicative function?
         Forum Math. Sigma 6 (2018), e15, 23 pp. pdf

  3. (with S. Drappeau and A. Granville) Smooth-supported multiplicative functions in arithmetic progressions beyond the x^{1/2}-barrier.
         Mathematika 63 (2017), no. 3, 895--918. pdf

  4. (with A. Granville) Bombieri-Vinogradov for multiplicative functions, and beyond the x^{1/2}-barrier.
          Submitted. pdf

  5. (with K. Matomäki and J. Maynard) Vinogradov's theorem with almost equal summands.
         Proc. Lond. Math. Soc. (3) 115 (2017), no. 2, 323-347. pdf

  6. (with B. B. Bhattacharya, S. Ganguly, and Y. Zhao) Upper tails for arithmetic progressions in a random set.
          Submitted. pdf

  7. (with K. Matomäki) When the sieve works II.
          Submitted. pdf

  8. Gowers norms of multiplicative functions in progressions on average.
         Algebra Number Theory 11, 961-982 (2017). pdf

  9. Narrow arithmetic progressions in the primes.
         Int. Math. Res. Not. IMRN, 391-428 (2017). pdf

  10. (with K. Matomäki) Vinogradov's three primes theorem with almost twin primes.
         Compos. Math. 153, 1220-1256 (2017). pdf

  11. (with S. Drappeau) Weyl sums, mean value estimates, and Waring's problem with friable numbers.
         Acta Arith. 176, 249-299 (2016). pdf

  12. On an inverse ternary Goldbach problem.
         Amer. J. Math. 138, 1167-1191 (2016). pdf

  13. Polynomial values modulo primes on average and sharpness of the larger sieve.
         Algebra Number Theory 9, 2325-2346 (2015). pdf

  14. Character sums over unions of intervals.
         Forum Math. 27, 3017-3026 (2015). pdf

  15. Finding linear patterns of complexity one.
         Int. Math. Res. Not. IMRN, 2311-2327 (2015). pdf

  16. An L-function-free proof of Vinogradov's three primes theorem.
         Forum Math. Sigma 2, e27, 26 pp (2014). pdf

  17. (with P. Diaconis and K. Soundararajan) Carries, group theory, and additive combinatorics.
         Amer. Math. Monthly 121, 674-688 (2014). pdf

  18. Large values of the additive energy in R^d and Z^d.
         Math. Proc. Cambridge Philos. Soc. 156, 327-341 (2014). pdf

  19. A density version of the Vinogradov three primes theorem.
         Duke Math. J. 163, 489-512 (2014). pdf

  20. On character sums and exponential sums over generalized arithmetic progressions.
         Bull. Lond. Math. Soc. 45, 541-550 (2013). pdf