Andrew V. Sutherland

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Doubly isogenous curves of genus two with a rational action of $D_6$	2024	Jeremy Booher Everett W. Howe Andrew V. Sutherland José Felipe Voloch
+ PDF Chat	Computing Euler factors of genus 2 curves at odd primes of almost good reduction	2024	Céline Maistret Andrew V. Sutherland
+	Computing the endomorphism ring of an elliptic curve over a number field	2024	J. E. Cremona Andrew V. Sutherland
+	Computing the endomorphism ring of an elliptic curve over a number field	2023	J. E. Cremona Andrew V. Sutherland
+ PDF	Counting points on smooth plane quartics	2022	Edgar Costa David Harvey Andrew V. Sutherland
+ PDF	-adic images of Galois for elliptic curves over (and an appendix with John Voight)	2022	Jeremy Rouse Andrew V. Sutherland David Zureick-Brown
+	Counting points on smooth plane quartics	2022	Edgar Costa David J. Harvey Andrew V. Sutherland
+ PDF	Stronger arithmetic equivalence	2021	Andrew V. Sutherland
+	4. The $L$-Functions and Modular Forms Database by John E. Cremona, John W. Jones, Andrew V. Sutherland, and John Voight	2021	J. E. Cremona John W. Jones Andrew V. Sutherland John Voight
+	Sato-Tate groups of abelian threefolds	2021	Francesc Fité Kiran S. Kedlaya Andrew V. Sutherland
+	$\ell$-adic images of Galois for elliptic curves over $\mathbb{Q}$	2021	Jeremy Rouse Andrew V. Sutherland David Zureick-Brown
+ PDF Chat	$\ell$-adic images of Galois for elliptic curves over $\mathbb{Q}$	2021	Jeremy Rouse Andrew V. Sutherland David Zureick-Brown
+	Stronger arithmetic equivalence	2021	Andrew V. Sutherland
+	On a question of Mordell	2021	Andrew R. Booker Andrew V. Sutherland
+ PDF	Sato–Tate groups of abelian threefolds: a preview of the classification	2021	Francesc Fité Kiran S. Kedlaya Andrew V. Sutherland
+ PDF Chat	Computing Classical Modular Forms	2021	Alex J. Best Jonathan Bober Andrew R. Booker Edgar Costa J. E. Cremona Maarten Derickx Min Lee David Lowry-Duda David Roe Andrew V. Sutherland
+	Arithmetic Geometry, Number Theory, and Computation	2021	Jennifer S. Balakrishnan Noam D. Elkies Brendan Hassett Bjorn Poonen Andrew V. Sutherland John Voight
+	Sato-Tate groups of abelian threefolds	2021	Francesc Fité Kiran S. Kedlaya Andrew V. Sutherland
+ PDF	Counting points on superelliptic curves in average polynomial time	2020	Andrew V. Sutherland
+	Sorting and labelling integral ideals in a number field	2020	J. E. Cremona Aurel Page Andrew V. Sutherland
+	Sorting and labelling integral ideals in a number field	2020	J. E. Cremona Aurel Page Andrew V. Sutherland
+ PDF Chat	Arithmetic invariants from Sato–Tate moments	2019	Edgar Costa Francesc Fité Andrew V. Sutherland
+ PDF	Fast Jacobian arithmetic for hyperelliptic curves of genus 3	2019	Andrew V. Sutherland
+ PDF	A database of nonhyperelliptic genus-3 curves over ℚ	2019	Andrew V. Sutherland
+ PDF Chat	Maps between curves and arithmetic obstructions	2019	Andrew V. Sutherland José Felipe Voloch
+ PDF	Sato-Tate distributions	2019	Andrew V. Sutherland
+ PDF	Sato–Tate distributions of twists of the Fermat and the Klein quartics	2018	Francesc Fité Elisa Lorenzo García Andrew V. Sutherland
+	Sato–Tate distributions of twists of the Fermat and the Klein quartics	2018	Francesc Fité Elisa Lorenzo García Andrew V. Sutherland
+ PDF	Modular curves of prime-power level with infinitely many rational points	2017	Andrew V. Sutherland David Zywina
+	Torsion subgroups of elliptic curves over quintic and sextic number fields	2016	Maarten Derickx Andrew V. Sutherland
+ PDF Chat	Torsion subgroups of rational elliptic curves over the compositum of all cubic fields	2016	Harris B. Daniels Álvaro Lozano‐Robledo Filip Najman Andrew V. Sutherland
+ PDF	Finding elliptic curves with a subgroup of prescribed size	2016	Igor E. Shparlinski Andrew V. Sutherland
+ PDF	Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time, II	2016	David Harvey Andrew V. Sutherland
+ PDF	Sato-Tate groups of some weight 3 motives	2016	Francesc Fité Kiran Kedlaya Andrew V. Sutherland
+ PDF	A census of zeta functions of quartic K surfaces over	2016	Kiran S. Kedlaya Andrew V. Sutherland
+ PDF	A database of genus-2 curves over the rational numbers	2016	Andrew R. Booker Jeroen Sijsling Andrew V. Sutherland John Voight Dan Yasaki
+ PDF Chat	Sato-Tate groups of 𝑦²=𝑥⁸+𝑐 and 𝑦²=𝑥⁷-𝑐𝑥.	2016	Francesc Fité Andrew V. Sutherland
+ PDF	Computing -series of geometrically hyperelliptic curves of genus three	2016	David Harvey Maike Massierer Andrew V. Sutherland
+ PDF	COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES	2016	Andrew V. Sutherland
+	Class polynomials for nonholomorphic modular functions	2015	Jan Hendrik Bruinier Ken Ono Andrew V. Sutherland
+ PDF	A framework for deterministic primality proving using elliptic curves with complex multiplication	2015	Alexander Abatzoglou Alice Silverberg Andrew V. Sutherland Angela Wong
+	Computing the image of Galois representations attached to elliptic curves	2015	Andrew V. Sutherland
+ PDF	On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average	2015	Igor E. Shparlinski Andrew V. Sutherland
+ PDF	New equidistribution estimates of Zhang type	2014	Wouter Castryck Étienne Fouvry Gergely Harcos Emmanuel Kowalski Philippe Michel Paul D. Nelson E. Paldi J. Pintz Andrew V. Sutherland Terence Tao
+ PDF	Sato–Tate distributions of twists of<i>y</i><sup>2</sup>=<i>x</i><sup>5</sup>−<i>x</i>and<i>y</i><sup>2</sup>=<i>x</i><sup>6</sup>+ 1	2014	Francesc Fité Andrew V. Sutherland
+	Finding elliptic curves with a prescribed subgroup and rational functions with small image over finite fields	2014	Igor E. Shparlinski Andrew V. Sutherland
+ PDF Chat	On the Distribution of Atkin and Elkies Primes	2014	Igor E. Shparlinski Andrew V. Sutherland
+	On the Distribution of Atkin and Elkies Primes	2014	Igor E. Shparlinski Andrew V. Sutherland
+	Computing Sato-Tate statistics	2014	Andrew V. Sutherland
+ PDF	Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time	2014	David Harvey Andrew V. Sutherland
+ PDF	Isogeny volcanoes	2013	Andrew V. Sutherland
+ PDF	Deterministic elliptic curve primality proving for a special sequence of numbers	2013	Alexander Abatzoglou Alice Silverberg Andrew V. Sutherland Angela Wong
+ PDF	On the evaluation of modular polynomials	2013	Andrew V. Sutherland
+	On the evaluation of modular polynomials.	2013	Andrew V. Sutherland
+ PDF	Identifying supersingular elliptic curves	2012	Andrew V. Sutherland
+ PDF	Accelerating the CM method	2012	Andrew V. Sutherland
+ PDF	Sato–Tate distributions and Galois endomorphism modules in genus 2	2012	Francesc Fité Kiran S. Kedlaya Víctor Rotger Andrew V. Sutherland
+	Sato–Tate distributions and Galois endomorphism modules in genus 2	2012	Francesc Fité Kiran S. Kedlaya Víctor Rotger Andrew V. Sutherland
+ PDF Chat	The probability that the number of points on the Jacobian of a genus 2 curve is prime	2012	Wouter Castryck Amanda Folsom Hendrik Hubrechts Andrew V. Sutherland
+ PDF	A local-global principle for rational isogenies of prime degree	2012	Andrew V. Sutherland
+ PDF	Constructing elliptic curves over finite fields with prescribed torsion	2011	Andrew V. Sutherland
+ PDF	Modular polynomials via isogeny volcanoes	2011	Reinier Bröker Kristin Lauter Andrew V. Sutherland
+ PDF	A low-memory algorithm for finding short product representations in finite groups	2011	Gaetan Bisson Andrew V. Sutherland
+	The mathematics of Spinpossible	2011	Alex Sutherland Andrew V. Sutherland
+	A low-memory algorithm for finding short product representations in finite groups.	2011	Gaetan Bisson Andrew V. Sutherland
+ PDF	Computing Hilbert class polynomials with the Chinese remainder theorem	2010	Andrew V. Sutherland
+ PDF Chat	An explicit height bound for the classical modular polynomial	2010	Reinier Bröker Andrew V. Sutherland
+ PDF	Structure computation and discrete logarithms in finite abelian $p$-groups	2010	Andrew V. Sutherland
+ PDF Chat	Class Invariants by the CRT Method	2010	Andreas Enge Andrew V. Sutherland
+ PDF	On a theorem of Mestre and Schoof	2010	J. E. Cremona Andrew V. Sutherland
+ PDF Chat	Computing the endomorphism ring of an ordinary elliptic curve over a finite field	2009	Gaetan Bisson Andrew V. Sutherland
+ PDF Chat	Arithmetic, Geometry, Cryptography and Coding Theory	2009	Kiran Kedlaya Andrew V. Sutherland NULL AUTHOR_ID
+	Computing Hilbert class polynomials with the Chinese Remainder Theorem.	2009	Andrew V. Sutherland
+	Computing the endomorphism ring of an ordinary elliptic curve over a finite field	2009	Gaetan Bisson Andrew V. Sutherland
+	Hyperelliptic Curves, L-Polynomials, and Random Matrices	2009	Kiran S. Kedlaya Andrew V. Sutherland
+	Hyperelliptic curves, 𝐿-polynomials, and random matrices	2009	Kiran S. Kedlaya Andrew V. Sutherland
+ PDF	A generic approach to searching for Jacobians	2008	Andrew V. Sutherland
+ PDF Chat	Computing L-Series of Hyperelliptic Curves	2008	Kiran S. Kedlaya Andrew V. Sutherland
+	Order computations in generic groups	2007	Andrew V. Sutherland

Common Coauthors

Coauthor	Papers Together
Francesc Fité	11
Kiran S. Kedlaya	8
J. E. Cremona	7
Igor E. Shparlinski	5
David Harvey	4
Edgar Costa	4
Gaetan Bisson	4
John Voight	4
Jeremy Rouse	3
Andrew R. Booker	3
David Zureick-Brown	3
Maarten Derickx	2
Alexander Abatzoglou	2
Víctor Rotger	2
Alice Silverberg	2
José Felipe Voloch	2
Wouter Castryck	2
Aurel Page	2
Angela Wong	2
Reinier Bröker	2
Elisa Lorenzo García	2
Kiran S. Kedlaya	2
Álvaro Lozano‐Robledo	1
Noam D. Elkies	1
Gergely Harcos	1
E. Paldi	1
Terence Tao	1
Jennifer S. Balakrishnan	1
Alex Sutherland	1
Emmanuel Kowalski	1
Harris B. Daniels	1
Filip Najman	1
Jan Hendrik Bruinier	1
Min Lee	1
John W. Jones	1
Ken Ono	1
Kiran Kedlaya	1
Étienne Fouvry	1
David Lowry-Duda	1
Kristin Lauter	1
Andreas Enge	1
J. Pintz	1
Everett W. Howe	1
Amanda Folsom	1
Alex J. Best	1
Jeroen Sijsling	1
David Zywina	1
Paul D. Nelson	1
Xiao-Feng Xie	1
Céline Maistret	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Computing L-Series of Hyperelliptic Curves	2008	Kiran S. Kedlaya Andrew V. Sutherland	19
+ PDF	Computing Hilbert class polynomials with the Chinese remainder theorem	2010	Andrew V. Sutherland	17
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	17
+	Order computations in generic groups	2007	Andrew V. Sutherland	14
+ PDF	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	13
+ PDF	Sato–Tate distributions and Galois endomorphism modules in genus 2	2012	Francesc Fité Kiran S. Kedlaya Víctor Rotger Andrew V. Sutherland	13
+ PDF	Modular polynomials via isogeny volcanoes	2011	Reinier Bröker Kristin Lauter Andrew V. Sutherland	13
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	13
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	12
+ PDF Chat	Computing the endomorphism ring of an ordinary elliptic curve over a finite field	2009	Gaetan Bisson Andrew V. Sutherland	12
+ PDF	The complexity of class polynomial computation via floating point approximations	2008	Andreas Enge	12
+ PDF	Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time	2014	David Harvey Andrew V. Sutherland	12
+ PDF Chat	Class Invariants by the CRT Method	2010	Andreas Enge Andrew V. Sutherland	12
+ PDF	Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time, II	2016	David Harvey Andrew V. Sutherland	10
+	Elliptic and modular curves over finite fields and related computational issues	1997	Noam D. Elkies	10
+ PDF	Computing Hilbert Class Polynomials	2008	Juliana Belding Reinier Bröker Andreas Enge Kristin Lauter	10
+ PDF	Factoring Integers with Elliptic Curves	1987	H. W. Lenstra	10
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	9
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	9
+ PDF	Structure computation and discrete logarithms in finite abelian $p$-groups	2010	Andrew V. Sutherland	9
+ PDF	Elliptic curves over finite fields and the computation of square roots mod 𝑝	1985	René Schoof	8
+	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	Henri Cohen Gerhard Frey Roberto Avanzi Christophe Doche Tanja Lange Kim Nguyên Fréderik Vercauteren	8
+ PDF	A family of Calabi-Yau varieties and potential automorphy	2010	Michael Harris Nick Shepherd-Barron Richard Taylor	8
+ PDF	Choosing the correct elliptic curve in the CM method	2009	Karl Rubin Alice Silverberg	8
+	Prime Numbers: A Computational Perspective	2012	Richard E. Crandall Carl Pomerance	8
+ PDF	Explicit bounds for primality testing and related problems	1990	Eric Bach	8
+ PDF	Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication	1990	David A. Cox	8
+	Isogeny Volcanoes and the SEA Algorithm	2002	Mireille Fouquet François Morain	8
+	Elliptic Functions	1987	Serge Lang	7
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	7
+ PDF	PRIMES is in P	2004	Manindra Agrawal Neeraj Kayal Nitin Saxena	7
+ PDF	An algebraic Sato-Tate group and Sato-Tate conjecture	2015	Grzegorz Banaszak Kiran S. Kedlaya	7
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre	7
+ PDF	Elliptic curves and primality proving	1993	A. O. L. Atkin François Morain	7
+ PDF	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak	7
+	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern	1983	Герд Фалтингс	7
+ PDF	A $p$-adic algorithm to compute the Hilbert class polynomial	2008	Reinier Bröker	7
+ PDF	Computing modular polynomials in quasi-linear time	2009	Andreas Enge	7
+ PDF	Kedlaya's Algorithm in Larger Characteristic	2007	David Harvey	6
+ PDF Chat	Computing zeta functions of arithmetic schemes	2015	David Harvey	6
+	Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology	2001	Kiran S. Kedlaya	6
+ PDF	Linear Recurrences with Polynomial Coefficients and Application to Integer Factorization and Cartier–Manin Operator	2007	Alin Bostan Pierrick Gaudry Éric Schost	6
+ PDF	The Sato-Tate conjecture for Hilbert modular forms	2010	Thomas Barnet-Lamb Toby Gee David Geraghty	6
+ PDF	COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES	2016	Andrew V. Sutherland	6
+ PDF	The Elliptic Curve Database for Conductors to 130000	2006	J. E. Cremona	6
+ PDF	Counting points on hyperelliptic curves in average polynomial time	2014	David Harvey	6
+ PDF	Sato–Tate distributions of twists of<i>y</i><sup>2</sup>=<i>x</i><sup>5</sup>−<i>x</i>and<i>y</i><sup>2</sup>=<i>x</i><sup>6</sup>+ 1	2014	Francesc Fité Andrew V. Sutherland	6
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	6
+	Hyperelliptic Curves, L-Polynomials, and Random Matrices	2009	Kiran S. Kedlaya Andrew V. Sutherland	5
+	Fields of definition for homomorphisms of abelian varieties	1992	Alice Silverberg	5