Sean Prendiville's Home Page

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Email: 
sean.prendiville@bristol.ac.uk
Office:  4th Floor, Howard House, Queen's Avenue, Bristol, BS8 1SN.
Research Interests:  Diophantine problems, additive combinatorics, analytic number theory.
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Teaching.

Topics in Modern Geometry, 2014.
Number Theory and Group Theory, 2012.
Galois Theory, 2012.

Papers.

Quantitative bounds for sets lacking homogeneous polynomial progressions
Preprint, 18pp.

Improvements in Birch's theorem on forms in many variables
with T.D. Browning
Submitted, 31pp. Video lecture.

Matrix progressions in multidimensional sets of integers
Accepted, to appear in Mathematika, 28pp.

Near-optimal mean value estimates for multidimensional Weyl sums
with S.T. Parsell and T.D. Wooley
Geom. Funct. Anal. 23 (2013), 1962–2024.

Solution-free sets for sums of binary forms
Proc. Lond. Math. Soc. (3) 107 (2013), no. 2, 267–302.

PhD thesis
Completed under the supervision of Prof. Trevor D. Wooley

My old band.
http://cymbalsmusic.com