Craig Spencer

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All published works

Action	Title	Year	Authors
+	Solutions to polynomial congruenceswith variables restricted to a box	2024	Todd Cochrane Konstantinos Kydoniatis Craig Spencer
+ PDF Chat	Doubling Constant for Subgroups of \(\mathbb Z_p^*\)	2023	Albert Cochrane Todd Cochrane Craig Spencer
+	Homogeneous additive congruences	2022	Todd Cochrane Misty Ostergaard Craig Spencer
+	Waring numbers for diagonal congruences	2020	Ala’ J. Alnaser Todd Cochrane Misty Ostergaard Craig Spencer
+	Cauchy-Davenport Theorem for abelian groups and diagonal congruences	2018	Todd Cochrane Misty Ostergaard Craig Spencer
+	SOLUTIONS TO DIAGONAL CONGRUENCES WITH VARIABLES RESTRICTED TO A BOX	2018	Todd Cochrane Misty Ostergaard Craig Spencer
+ PDF Chat	Small solutions of diagonal congruences	2017	Todd Cochrane Misty Ostergaard Craig Spencer
+	A Generalization of Schauz and Brink's Restricted-Variable Version of Chevalley's Theorem.	2017	Yogesh More Craig Spencer
+ PDF Chat	Minimal Mahler Measure in Real Quadratic Fields	2015	Todd Cochrane R. M. S. Dissanayake Nicholas Donohoue M. I. M. Ishak Vincent Pigno Chris Pinner Craig Spencer
+	Diophantine approximations and directional discrepancy of rotated lattices	2015	Dmitriy Bilyk Xiaomin Ma Jill Pipher Craig Spencer
+	A Prime Analogue of Roth’s Theorem in Function Fields	2015	Yuru Liu Craig Spencer
+	Rational linear spaces on hypersurfaces over quasi-algebraically closed fields	2014	Todd Cochrane Craig Spencer Hee-Sung Yang
+	Minimal Mahler measure in real quadratic fields	2014	Todd Cochrane R. M. S. Dissanayake Nicholas Donohoue Mim Ishak Vincent Pigno Chris Pinner Craig Spencer
+ PDF Chat	Intersective polynomials and Diophantine approximation, II	2014	Thái Hoàng Lê Craig Spencer
+ PDF Chat	Waring's number for large subgroups of Z<sub>p</sub><sup>*</sup>	2014	Todd Cochrane Derrick Hart Christopher Pinner Craig Spencer
+	Minimal Mahler measure in real quadratic fields	2014	Todd Cochrane RMS Dissanayake Nicholas Donohoue MIM Ishak Vincent Pigno Chris Pinner Craig Spencer
+	Intersective polynomials and Diophantine approximation, II	2013	Thái Hoàng Lê Craig Spencer
+	Intersective polynomials and Diophantine approximation, II	2013	Thái Hoàng Lê Craig Spencer
+ PDF Chat	Intersective Polynomials and Diophantine Approximation	2012	Thái Hoàng Lê Craig Spencer
+ PDF Chat	Diophantine inequalities and quasi-algebraically closed fields	2012	Craig Spencer Trevor D. Wooley
+ PDF Chat	On the Design of Deterministic Matrices for Fast Recovery of Fourier Compressible Functions	2012	James Bailey Mark Iwen Craig Spencer
+ PDF Chat	Directional discrepancy in two dimensions	2011	Dmitriy Bilyk Xiaomin Ma Jill Pipher Craig Spencer
+ PDF Chat	Difference sets and the irreducibles in function fields	2011	Thái Hoàng Lê Craig Spencer
+	On the Design of Deterministic Matrices for Fast Recovery of Fourier Compressible Functions	2011	James Bailey Mark Iwen Craig Spencer
+ PDF Chat	A generalization of Meshulam’s theorem on subsets of finite abelian groups with no 3-term arithmetic progression (II)	2010	Yu-Ru Liu Craig Spencer Xiaomei Zhao
+	Diophantine inequalities and quasi-algebraically closed fields	2010	Craig Spencer Trevor D. Wooley
+ PDF Chat	Roth's theorem on systems of linear forms in function fields	2010	Yu-Ru Liu Craig Spencer Xiaomei Zhao
+	Diophantine inequalities and quasi-algebraically closed fields	2010	Craig Spencer Trevor D. Wooley
+ PDF Chat	A GENERALIZATION OF ROTH'S THEOREM IN FUNCTION FIELDS	2009	Yuru Liu Craig Spencer
+	Diophantine inequalities in function fields	2009	Craig Spencer
+ PDF Chat	A generalization of Meshulam’s theorem on subsets of finite abelian groups with no 3-term arithmetic progression	2009	Yu-Ru Liu Craig Spencer
+	The Manin conjecture for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>x</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:msub><mml:mi>y</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mo>⋯</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:msub><mml:mi>y</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>	2008	Craig Spencer
+ PDF Chat	Improved bounds for a deterministic sublinear-time Sparse Fourier Algorithm	2008	Mark Iwen Craig Spencer
+	Analytic Methods for Diophantine Problems.	2008	Craig Spencer

Common Coauthors

Coauthor	Papers Together
Todd Cochrane	12
Misty Ostergaard	5
Thái Hoàng Lê	5
Yu-Ru Liu	3
Mark Iwen	3
Chris Pinner	3
Vincent Pigno	3
Trevor D. Wooley	3
Nicholas Donohoue	3
Jill Pipher	2
Xiaomei Zhao	2
R. M. S. Dissanayake	2
James Bailey	2
Dmitriy Bilyk	2
Yu-Ru Liu	2
Xiaomin Ma	2
Ala’ J. Alnaser	1
Konstantinos Kydoniatis	1
RMS Dissanayake	1
MIM Ishak	1
M. I. M. Ishak	1
Mim Ishak	1
Albert Cochrane	1
Derrick Hart	1
Hee-Sung Yang	1
Yogesh More	1
Christopher Pinner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On Certain Sets of Integers	1953	K. F. Roth	6
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown	5
+	Number Theory in Function Fields	2002	Michael Rosen	5
+	Integer sets containing no arithmetic progressions	1990	Endre Szemerédi	5
+	The Hardy-Littlewood Method	1997	R. C. Vaughan	5
+	Roth’s theorem on progressions revisited	2008	Jean Bourgain	4
+ PDF Chat	Numbers of solutions of equations in finite fields	1949	André Weil	4
+ PDF Chat	Diophantine inequalities for the non-Archimedean line F<sub>q</sub>((1/T))	2001	Chih-Nung Hsu	4
+ PDF Chat	Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field	1949	L. K. Hua H. S. Vandiver	4
+	On subsets of finite abelian groups with no 3-term arithmetic progressions	1995	Roy Meshulam	4
+	Analytic Methods for Diophantine Equations and Diophantine Inequalities	2005	H. Davenport T. D. Browning	3
+	Note on a paper of Lang concerning quasi algebraic closure	1957	Masayoshi Nagata	3
+ PDF Chat	Small zeros of additives forms in many variables. II	1979	Wolfgang M. Schmidt	3
+	Small solutions of congruences	1983	Roger C. Baker	3
+ PDF Chat	Exponential sums over primes in an arithmetic progression	1985	Antal Balog Alberto Perelli	3
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	3
+ PDF Chat	Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three	2016	Jean Bourgain Ciprian Demeter Larry Guth	3
+	Homogeneous forms of odd degree in a large number of variables	1957	B. J. Birch	3
+ PDF Chat	Small zeros of additive forms in many variables	1979	Wolfgang M. Schmidt	3
+	New Upper bounds for the sizes of caps in finite projective spaces	2002	Leo Storme J. A. Thas S. K. J. Vereecke	3
+ PDF Chat	Polynomials with roots modulo every integer	1996	Daniel Berend Yuri Bilu	3
+	Trigonometric sums over primes I	1981	Glyn Harman	3
+ PDF Chat	Vinogradov's mean value theorem via efficient congruencing	2012	Trevor D. Wooley	3
+	Diagonal cubic equations and inequalities	1967	Jane Pitman David Ridout	3
+	Systems of cubic Diophantine inequalities	2004	Eric Freeman	2
+ PDF Chat	A new form of the circle method, and its application to quadratic forms.	1996	D. R. Heath‐Brown	2
+	Additive Theory of Prime Numbers	2009	Hua Liu	2
+	Diophantine Inequalities for Polynomial Rings	1999	Chih-Nung Hsu	2
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen	2
+	On exponential sums over smooth numbers.	1997	Trevor D. Wooley	2
+	Small solutions of additive cubic congruences	2000	Rainer Dietmann	2
+	A Lower Bound for the Height in Abelian Extensions	2000	Francesco Amoroso Roberto Dvornicich	2
+ PDF Chat	An algebraic proof of the Borsuk-Ulam theorem for polynomial mappings	1982	Manfred Knebusch	2
+ PDF Chat	New Estimates for Smooth Weyl Sums	1995	Trevor D. Wooley	2
+	Small fractional parts of additive forms	1993	Glyn Harman	2
+ PDF Chat	On the Number of Rational Points of Bounded Height on Smooth Bilinear Hypersurfaces in Biprojective Space	2001	Marcello Robbiani	2
+ PDF Chat	A Simple Proof of the Restricted Isometry Property for Random Matrices	2008	Richard G. Baraniuk Mark A. Davenport Ronald DeVore Michael B. Wakin	2
+ PDF Chat	Irregularities of distribution, VII	1972	Wolfgang Schmidt	2
+	Combinatorial Sublinear-Time Fourier Algorithms	2010	Mark Iwen	2
+	Compressed sensing and best 𝑘-term approximation	2008	Albert Cohen Wolfgang Dahmen Ronald DeVore	2
+	Correction to ‘Weyl Sums and Diophantine Approximation’	1992	Roger C. Baker	2
+ PDF Chat	Explicit Non-adaptive Combinatorial Group Testing Schemes	2008	Ely Porat Amir Rothschild	2
+	On diophantine inequalities: Freeman's asymptotic formulae	2003	Trevor D. Wooley	2
+ PDF Chat	Kakeya sets and directional maximal operators in the plane	2009	Michael Bateman	2
+ PDF Chat	Breaking classical convexity in Waring's problem: Sums of cubes and quasi-diagonal behaviour	1995	Jörg Brüdern Trevor D. Wooley	2
+ PDF Chat	Heilbronn's conjecture on Waring's number (mod p)	2007	James Arthur Cipra Todd Cochrane Christopher Pinner	2
+	Note on a Diophantine inequality in several variables	2000	Jeffrey Barton Hugh L. Montgomery Jeffrey D. Vaaler	2
+	Rational points on some Fano cubic bundles	1996	Victor V. Batyrev Yuri Tschinkel	2
+	Diophantine inequalities for forms of odd degree	1980	Wolfgang M. Schmidt	2
+	On Triples in Arithmetic Progression	1999	Jean Bourgain	2