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Dr Sean Prendiville

Lecturer in Mathematics

  1. 2013
  2. Published

    Near-optimal mean value estimates for multidimensional Weyl sums

    Parsell, S. T., Prendiville, S. & Wooley, T. D., 2013, In: Geom. Funct. Anal.. 23, 6, p. 1962–2024 63 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. Published

    Solution-free sets for sums of binary forms

    Prendiville, S., 1/08/2013, In: Proceedings of the London Mathematical Society. 107, 2, p. 267-302 36 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  4. 2015
  5. Published

    Matrix progressions in multidimensional sets of integers

    Prendiville, S., 2015, In: Mathematika. 61, 1, p. 14-48 35 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  6. 2017
  7. Published

    A transference approach to a Roth-type theorem in the squares

    Prendiville, S. & Browning, T. D., 2017, In: International Mathematics Research Notices. 2017, 7, p. 2219–2248 30 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. Published

    Improvements in Birch's theorem on forms in many variables

    Browning, T. D. & Prendiville, S., 2017, In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 2017, 731, p. 203–234 32 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  9. Published

    Four variants of the Fourier-analytic transference principle

    Prendiville, S., 1/09/2017, In: Online Journal of Analytic Combinatorics. 12, 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. Quantitative bounds in the polynomial Szemerédi theorem: The homogeneous case

    Prendiville, S., 21/12/2017, In: Discrete Analysis. 2017, 5, p. 1-34 34 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  11. 2019
  12. Published

    Quantitative bounds in the non-linear Roth theorem

    Peluse, S. & Prendiville, S., 6/03/2019, In: arXiv.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  13. 2020
  14. Published

    Counting monochromatic solutions to diagonal Diophantine equations

    Prendiville, S., 23/03/2020, In: arXiv.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  15. Published

    On the Ramsey number of the Brauer configuration

    Prendiville, S. & Chapman, J., 1/04/2020, In: Bulletin of the London Mathematical Society. 52, 2, p. 316-334 19 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. 2021
  17. Published

    Rado's criterion over squares and higher powers

    Chow, S., Lindqvist, S. & Prendiville, S., 16/02/2021, In: Journal of the European Mathematical Society. 23, 6, p. 1925-1997 73 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  18. Published

    Counting Monochromatic Solutions to Diagonal Diophantine Equations

    Prendiville, S., 17/09/2021, In: Discrete Analysis. 2021, 14.

    Research output: Contribution to Journal/MagazineEditorialpeer-review

  19. 2022
  20. Published

    A polylogarithmic bound in the nonlinear Roth theorem

    Peluse, S. & Prendiville, S., 30/04/2022, In: International Mathematics Research Notices. 8, p. 5658-5684 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  21. Published

    Surveys in Combinatorics 2022

    Nixon, A. & Prendiville, S., 31/05/2022, Cambridge University Press. 259 p. (London Mathematical Society Lecture Note Series; vol. 481)

    Research output: Book/Report/ProceedingsBook

  22. Published

    Solving equations in dense Sidon sets

    Prendiville, S., 19/07/2022, In: Mathematical Proceedings of the Cambridge Philosophical Society. 173, 1, p. 25-34 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  23. Forthcoming

    Extremal Sidon sets are Fourier uniform, with applications to partition regularity

    Prendiville, S. & Ortega, M., 22/07/2022, (Accepted/In press) In: Journal de Théorie des Nombres de Bordeaux.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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