Sean Prendiville

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bounds in a popular multidimensional nonlinear Roth theorem	2024	Sarah Peluse Sean Prendiville Xuancheng Shao
+	Quantitative bounds in the nonlinear Roth theorem	2024	Sarah Peluse Sean Prendiville
+ PDF Chat	An inverse theorem for the Gowers $U^3$-norm relative to quadratic level sets	2024	Sean Prendiville
+ PDF Chat	Bounds in a popular multidimensional nonlinear Roth theorem	2024	Sarah Peluse Sean Prendiville Xuancheng Shao
+ PDF Chat	Extremal Sidon Sets are Fourier Uniform, with Applications to Partition Regularity	2023	Miquel Ortega Sean Prendiville
+ PDF Chat	Circuit Imbalance Measures and Linear Programming	2022	Anthony Nixon Sean Prendiville
+	Finite Geometry and Extremal Graph Theory	2022	Anthony Nixon Sean Prendiville
+	Rainbow Subgraphs and their Applications	2022	Anthony Nixon Sean Prendiville
+	Convex and Combinatorial Tropical Geometry	2022	Anthony Nixon Sean Prendiville
+ PDF Chat	Counting monochromatic solutions to diagonal Diophantine equations	2021	Sean Prendiville
+ PDF Chat	Solving equations in dense Sidon sets	2021	Sean Prendiville
+	Rado's criterion over squares and higher powers	2021	Sam Chow Sofia Lindqvist Sean Prendiville
+	Extremal Sidon sets are Fourier uniform, with applications to partition regularity	2021	Miquel Ortega Sean Prendiville
+ PDF Chat	A Polylogarithmic Bound in the Nonlinear Roth Theorem	2020	Sarah Peluse Sean Prendiville
+ PDF Chat	On the Ramsey number of the Brauer configuration	2020	Jonathan Chapman Sean Prendiville
+	The inverse theorem for the nonlinear Roth configuration: an exposition	2020	Sean Prendiville
+	Counting monochromatic solutions to diagonal Diophantine equations	2020	Sean Prendiville
+	A polylogarithmic bound in the nonlinear Roth theorem	2020	Sarah Peluse Sean Prendiville
+	The inverse theorem for the nonlinear Roth configuration: an exposition	2020	Sean Prendiville
+	On the Ramsey number of the Brauer configuration	2019	Jonathan Chapman Sean Prendiville
+	On the Ramsey number of the Brauer configuration	2019	Jonathan Chapman Sean Prendiville
+	Quantitative bounds in the nonlinear Roth theorem	2019	Sarah Peluse Sean Prendiville
+	Rado's criterion over squares and higher powers	2018	Sam Chow Sofia Lindqvist Sean Prendiville
+	Four variants of the Fourier-analytic transference principle	2017	Sean Prendiville
+ PDF Chat	Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case	2017	Sean Prendiville
+ PDF Chat	A Transference Approach to a Roth-Type Theorem in the Squares	2016	T. D. Browning Sean Prendiville
+	A transference approach to a Roth-type theorem in the squares	2015	T. D. Browning Sean Prendiville
+ PDF Chat	Improvements in Birch’s theorem on forms in many variables	2015	T. D. Browning Sean Prendiville
+	Four variants of the Fourier-analytic transference principle	2015	Sean Prendiville
+	A transference approach to a Roth-type theorem in the squares	2015	T. D. Browning Sean Prendiville
+	Quantitative bounds for sets lacking homogeneous polynomial progressions	2014	Sean Prendiville
+	MATRIX PROGRESSIONS IN MULTIDIMENSIONAL SETS OF INTEGERS	2014	Sean Prendiville
+	Improvements in Birch's theorem on forms in many variables	2014	T. D. Browning Sean Prendiville
+ PDF Chat	Near-Optimal Mean Value Estimates for Multidimensional Weyl Sums	2013	Scott T. Parsell Sean Prendiville Trevor D. Wooley
+ PDF Chat	Solution-free sets for sums of binary forms	2013	Sean Prendiville
+	Near-optimal mean value estimates for multidimensional Weyl sums	2012	Scott T. Parsell Sean Prendiville Trevor D. Wooley
+	Near-optimal mean value estimates for multidimensional Weyl sums	2012	Scott T. Parsell Sean Prendiville Trevor D. Wooley
+	Roth's Theorem { An Exposition	2008	Sean Prendiville

Common Coauthors

Coauthor	Papers Together
Sarah Peluse	6
T. D. Browning	5
Anthony Nixon	4
Scott T. Parsell	3
Trevor D. Wooley	3
Miquel Ortega	2
Xuancheng Shao	2
Sofia Lindqvist	2
Jonathan Chapman	2
Sam Chow	2
Jonathan Chapman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On Certain Sets of Integers	1953	K. F. Roth	13
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	7
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	5
+	Analytic Methods for Diophantine Equations and Diophantine Inequalities	2005	H. Davenport T. D. Browning	5
+	Quantitative theorems for regular systems of equations	1988	Péter Frankl Ronald Graham V. Rödl	5
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers	5
+ PDF Chat	Decompositions, approximate structure, transference, and the Hahn-Banach theorem	2010	W. T. Gowers	4
+	On Triples in Arithmetic Progression	1999	Jean Bourgain	4
+ PDF Chat	Translation invariant equations and the method of Sanders	2012	Thomas F. Bloom	4
+	Forms in many variables	1962	B. J. Birch	4
+ PDF Chat	Quadratic uniformity of the Möbius function	2008	Ben Green Terence Tao	4
+	On Λ(p)-subsets of squares	1989	Jean Bourgain	4
+ PDF Chat	Roth’s theorem in the primes	2005	Ben Green	4
+ PDF Chat	ROTH’S THEOREM FOR FOUR VARIABLES AND ADDITIVE STRUCTURES IN SUMS OF SPARSE SETS	2016	Tomasz Schoen Olof Sisask	3
+ PDF Chat	On arithmetic structures in dense sets of integers	2002	Ben Green	3
+	Primitive recursive bounds for van der Waerden numbers	1988	Saharon Shelah	3
+ PDF Chat	On Roth's theorem on progressions	2011	Tom Sanders	3
+	Analytic Number Theory	2009	Eberhard Freitag Rolf Busam	3
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown	3
+ PDF Chat	Partition regularity and multiplicatively syndetic sets	2020	Jonathan Chapman	3
+ PDF Chat	A Polylogarithmic Bound in the Nonlinear Roth Theorem	2020	Sarah Peluse Sean Prendiville	3
+ PDF Chat	Monochromatic solutions to x+y=z2 in the interval [N,cN4]	2018	Péter Pál Pach	3
+	Ramsey properties of nonlinear Diophantine equations	2017	Mauro Di Nasso Lorenzo Luperi Baglini	3
+	On partition regular systems of equations	1991	Hanno Lefmann	3
+ PDF Chat	A Transference Approach to a Roth-Type Theorem in the Squares	2016	T. D. Browning Sean Prendiville	3
+	The Hardy-Littlewood method	1996	M. N. Huxley	3
+ PDF Chat	Intersective sets given by a polynomial	2006	Jason Lucier	3
+	Tight bounds on additive Ramsey-type numbers	2017	Karol Cwalina Tomasz Schoen	3
+ PDF Chat	Linear equations in primes	2010	Ben Green Terence Tao	3
+	Four variants of the Fourier-analytic transference principle	2017	Sean Prendiville	3
+ PDF Chat	Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors	2016	Terence Tao Tamar Ziegler	3
+	A generalization of Vinogradov's mean value theorem	2005	Scott T. Parsell	3
+	On solution-free sets for simultaneous quadratic and linear equations	2008	Matthew Lee Smith	3
+	A Note on Simultaneous Congruences	1996	Trevor D. Wooley	3
+	Integer sets containing no arithmetic progressions	1990	Endre Szemerédi	3
+ PDF Chat	An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications	2010	Ben Green Terence Tao	3
+	Quantitative bounds in the nonlinear Roth theorem	2024	Sarah Peluse Sean Prendiville	3
+ PDF Chat	Higher Order Fourier Analysis	2012	Terence Tao	3
+	The Method of Trigonometrical Sums in the Theory of Numbers	2004	Ivan Matveevich Vinogradov K. F. Roth Anne Ashley Davenport	2
+ PDF Chat	Rational points on quartic hypersurfaces	2009	T. D. Browning D. R. Heath‐Brown	2
+	The Asymptotic Formula in Waring’s Problem	2012	Trevor D. Wooley	2
+ PDF Chat	A new form of the circle method, and its application to quadratic forms.	1996	D. R. Heath‐Brown	2
+	The Hardy-Littlewood Method	1997	R. C. Vaughan	2
+	Cubic forms in sixteen variables	1963	H. Davenport	2
+ PDF Chat	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	2
+ PDF Chat	Forms representing forms and linear spaces on hypersurfaces	2013	Julia Brandes	2
+ PDF Chat	Additive equations in dense variables via truncated restriction estimates	2017	Kevin Henriot	2
+ PDF Chat	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	2
+ PDF Chat	The true complexity of a system of linear equations	2009	W. T. Gowers Jason B. Wolf	2
+ PDF Chat	The primes contain arbitrarily long polynomial progressions	2008	Terence Tao Tamar Ziegler	2