Wouter Castryck

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All published works

Action	Title	Year	Authors
+ PDF Chat	Generalized class group actions on oriented elliptic curves with level structure	2024	Sarah Arpin Wouter Castryck Jonathan Komada Eriksen Gioella Lorenzon Fréderik Vercauteren
+ PDF Chat	Scrollar invariants, syzygies and representations of the symmetric group	2023	Wouter Castryck Floris Vermeulen Yongqiang Zhao
+	An Efficient Key Recovery Attack on SIDH	2023	Wouter Castryck Thomas Decru
+	A Polynomial Time Attack on Instances of M-SIDH and FESTA	2023	Wouter Castryck Fréderik Vercauteren
+ PDF	On the decisional Diffie–Hellman problem for class group actions on oriented elliptic curves	2022	Wouter Castryck Marc Houben Fréderik Vercauteren Benjamin Wesolowski
+	An infinite class of Neumaier graphs and non-existence results	2022	Aida Abiad Wouter Castryck Maarten De Boeck Jack H. Koolen Sjanne Zeijlemaker
+	Scrollar invariants, syzygies and representations of the symmetric group	2022	Wouter Castryck Floris Vermeulen Yongqiang Zhao
+	Multiradical isogenies	2022	Wouter Castryck Thomas Decru
+	On the decisional Diffie-Hellman problem for class group actions on oriented elliptic curves	2022	Wouter Castryck Marc Houben Fréderik Vercauteren Benjamin Wesolowski
+	An infinite class of Neumaier graphs and non-existence results	2021	Aida Abiad Wouter Castryck Maarten De Boeck Jack H. Koolen Sjanne Zeijlemaker
+ PDF	Lifting low-gonal curves for use in Tuitman’s algorithm	2020	Wouter Castryck Floris Vermeulen
+ PDF Chat	The dimension growth conjecture, polynomial in the degree and without logarithmic factors	2020	Wouter Castryck Raf Cluckers Philip Dittmann Kien Huu Nguyen
+ PDF	Hash functions from superspecial genus-2 curves using Richelot isogenies	2020	Wouter Castryck Thomas Decru Benjamin Smith
+	Lifting low-gonal curves for use in Tuitman's algorithm	2020	Wouter Castryck Floris Vermeulen
+ PDF	CSIDH on the Surface	2020	Wouter Castryck Thomas Decru
+ PDF	Rational Isogenies from Irrational Endomorphisms	2020	Wouter Castryck Lorenz Panny Fréderik Vercauteren
+ PDF	Breaking the Decisional Diffie-Hellman Problem for Class Group Actions Using Genus Theory	2020	Wouter Castryck Jana Sotáková Fréderik Vercauteren
+ PDF	Radical Isogenies	2020	Wouter Castryck Thomas Decru Fréderik Vercauteren
+	Lifting low-gonal curves for use in Tuitman's algorithm	2020	Wouter Castryck Floris Vermeulen
+	Computing graded Betti tables of toric surfaces	2019	Wouter Castryck Filip Cools Jeroen Demeyer Alexander Lemmens
+ PDF	Canonical syzygies of smooth curves on toric surfaces	2019	Wouter Castryck Filip Cools Jeroen Demeyer Alexander Lemmens
+	New bounds for exponential sums with a non-degenerate phase polynomial	2019	Wouter Castryck Kien Huu Nguyen
+	Rational isogenies from irrational endomorphisms.	2019	Wouter Castryck Lorenz Panny Fréderik Vercauteren
+	Hash functions from superspecial genus-2 curves using Richelot isogenies	2019	Wouter Castryck Thomas Decru Benjamin Smith
+ PDF Chat	Translating Between the Roots of the Identity in Quantum Computers	2018	Wouter Castryck Jeroen Demeyer Alexis De Vos Oliver Keszöcze Mathias Soeken
+	New bounds for exponential sums with a non-degenerate phase polynomial	2018	Wouter Castryck Kien Huu Nguyen
+	New bounds for exponential sums with a non-degenerate phase polynomial	2018	Wouter Castryck Kien Huu Nguyen
+ PDF Chat	Point counting on curves using a gonality preserving lift	2017	Wouter Castryck Jan Tuitman
+	Intrinsicness of the Newton polygon for smooth curves on $${\mathbb {P}}^1\times {\mathbb {P}}^1$$ P 1 × P 1	2017	Wouter Castryck Filip Cools
+ PDF	Hypersurfaces in Weighted Projective Spaces Over Finite Fields with Applications to Coding Theory	2017	Yves Aubry Wouter Castryck Sudhir R. Ghorpade Gilles Lachaud Michael E. O’Sullivan Samrith Ram
+ PDF Chat	A LOWER BOUND FOR THE GONALITY CONJECTURE	2017	Wouter Castryck
+ PDF	THE HOLOMORPHY CONJECTURE FOR NONDEGENERATE SURFACE SINGULARITIES	2016	Wouter Castryck Denis Ibadula Ann Lemahieu
+	On graded Betti tables of curves in toric surfaces	2016	Wouter Castryck Filip Cools Jeroen Demeyer Alexander Lemmens
+	Canonical syzygies of smooth curves on toric surfaces	2016	Wouter Castryck Filip Cools Jeroen Demeyer Alexander Lemmens
+	Computing graded Betti tables of toric surfaces	2016	Wouter Castryck Filip Cools Jeroen Demeyer Alexander Lemmens
+ PDF	Linear Pencils Encoded in the Newton Polygon	2016	Wouter Castryck Filip Cools
+	Point counting on curves using a gonality preserving lift	2016	Wouter Castryck Jan Tuitman
+	Point counting on curves using a gonality preserving lift	2016	Wouter Castryck Jan Tuitman
+	Computing graded Betti tables of toric surfaces	2016	Wouter Castryck Filip Cools Jeroen Demeyer Alexander K. Lemmens
+	Canonical syzygies of smooth curves on toric surfaces	2016	Wouter Castryck Filip Cools Jeroen Demeyer Alexander K. Lemmens
+	The lattice size of a lattice polygon	2015	Wouter Castryck Filip Cools
+	Translating between the roots of the identity in quantum computers	2015	Wouter Castryck Jeroen Demeyer Alexis De Vos Oliver Keszöcze Mathias Soeken
+ PDF	A combinatorial interpretation for Schreyer's tetragonal invariants	2015	Wouter Castryck Filip Cools
+	Translating between the roots of the identity in quantum computers	2015	Wouter Castryck Jeroen Demeyer Alexis De Vos Oliver Keszöcze Mathias Soeken
+ 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	A MINIMAL SET OF GENERATORS FOR THE CANONICAL IDEAL OF A NONDEGENERATE CURVE	2014	Wouter Castryck Filip Cools
+ PDF Chat	Curves in characteristic $2$ with non-trivial $2$-torsion	2014	Wouter Castryck Marco Streng Damiano Testa
+	A minimal set of generators for the canonical ideal of a non-degenerate curve	2014	Wouter Castryck Filip Cools
+	A combinatorial interpretation for Schreyer's tetragonal invariants	2014	Wouter Castryck Filip Cools
+	Constraints on counterexamples to the Casas-Alvero conjecture and a verification in degree 12	2014	Wouter Castryck Robert Laterveer Myriam Ounaïes
+	Linear pencils encoded in the Newton polygon	2014	Wouter Castryck Filip Cools
+	The lattice size of a lattice polygon	2014	Wouter Castryck Filip Cools
+	A combinatorial interpretation for Schreyer's tetragonal invariants	2014	Wouter Castryck Filip Cools
+	Linear pencils encoded in the Newton polygon	2014	Wouter Castryck Filip Cools
+	A minimal set of generators for the canonical ideal of a non-degenerate curve	2014	Wouter Castryck Filip Cools
+	The lattice size of a lattice polygon	2014	Wouter Castryck Filip Cools
+	On the intrinsicness of the Newton polygon	2013	Wouter Castryck Filip Cools
+	Intrinsicness of the Newton polygon for smooth curves on $\mathbb{P}^1\times \mathbb{P}^1$	2013	Wouter Castryck Filip Cools
+	Intrinsicness of the Newton polygon for smooth curves on $\mathbb{P}^1\times \mathbb{P}^1$	2013	Wouter Castryck Filip Cools
+ PDF	The distribution of the number of points modulo an integer on elliptic curves over finite fields	2012	Wouter Castryck Hendrik Hubrechts
+	Constraints on counterexamples to the Casas-Alvero conjecture, and a verification in degree 12	2012	Wouter Castryck Robert Laterveer Myriam Ounaïes
+ 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	Erratum to: Newton polygons and curve gonalities	2012	Wouter Castryck Filip Cools
+	Constraints on counterexamples to the Casas-Alvero conjecture, and a verification in degree 12	2012	Wouter Castryck Robert Laterveer Myriam Ounaïes
+ PDF	Moving Out the Edges of a Lattice Polygon	2011	Wouter Castryck
+ PDF	Newton polygons and curve gonalities	2011	Wouter Castryck Filip Cools
+	Newton polygons and curve gonalities	2011	Wouter Castryck Filip Cools
+ PDF	Toric forms of elliptic curves and their arithmetic	2011	Wouter Castryck Fréderik Vercauteren
+	Newton polygons and curve gonalities	2011	Wouter Castryck Filip Cools
+ PDF	Nondegenerate curves of low genus over small finite fields	2010	Wouter Castryck John Voight
+	Nondegenerate curves of low genus over small finite fields	2009	Wouter Castryck John Voight
+ PDF	On nondegeneracy of curves	2009	Wouter Castryck John Voight
+	The distribution of the number of points modulo an integer on elliptic curves over finite fields	2009	Wouter Castryck Hendrik Hubrechts
+	Nondegenerate curves of low genus over small finite fields	2009	Wouter Castryck John Voight
+	The distribution of the number of points modulo an integer on elliptic curves over finite fields	2009	Wouter Castryck Hendrik Hubrechts
+	A Shortened Classical Proof of the Quadratic Reciprocity Law	2008	Wouter Castryck
+	On moduli of nondegenerate curves	2008	Wouter Castryck John Voight
+	On nondegeneracy of curves	2008	Wouter Castryck John Voight
+ PDF	Computing Zeta Functions in Families of C a,b Curves Using Deformation	2008	Wouter Castryck Hendrik Hubrechts Fréderik Vercauteren
+	Computing Zeta Functions in Families of Ca, b.	2008	Wouter Castryck Hendrik Hubrechts Fréderik Vercauteren
+	Computing zeta functions in families of C_{a,b} curves using deformation	2008	Wouter Castryck Hendrik Hubrechts Fréderik Vercauteren
+	On nondegeneracy of curves	2008	Wouter Castryck John Voight
+	Computing zeta functions of nondegenerate curves	2006	Wouter Castryck Jan Denef Fréderik Vercauteren
+	Computing Zeta Functions of Nondegenerate Curves	2006	Wouter Castryck Jan Denef Fréderik Vercauteren

Common Coauthors

Coauthor	Papers Together
Filip Cools	19
Fréderik Vercauteren	14
Jeroen Demeyer	10
Filip Cools	8
Hendrik Hubrechts	7
John Voight	7
Thomas Decru	6
Alexander Lemmens	5
Kien Huu Nguyen	4
Alexis De Vos	3
Mathias Soeken	3
Myriam Ounaïes	3
Floris Vermeulen	3
Oliver Keszöcze	3
Robert Laterveer	3
Jan Tuitman	3
Sjanne Zeijlemaker	2
Andrew V. Sutherland	2
Alexander K. Lemmens	2
Jan Denef	2
Lorenz Panny	2
Maarten De Boeck	2
Jack H. Koolen	2
Benjamin Wesolowski	2
Floris Vermeulen	2
Aida Abiad	2
Benjamin Smith	2
Philippe Michel	1
Xiao-Feng Xie	1
Gilles Lachaud	1
Michael E. O’Sullivan	1
Jana Sotáková	1
Denis Ibadula	1
Gergely Harcos	1
E. Paldi	1
Terence Tao	1
Paul D. Nelson	1
Yongqiang Zhao	1
Amanda Folsom	1
Emmanuel Kowalski	1
Yongqiang Zhao	1
Raf Cluckers	1
Gioella Lorenzon	1
Sarah Arpin	1
J. Pintz	1
Marc Houben	1
Yves Aubry	1
Samrith Ram	1
Étienne Fouvry	1
Philip Dittmann	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	20
+	Newton polyhedra and toroidal varieties	1978	Askold Khovanskiĭ	17
+	The number of moduli of families of curves on toric surfaces	1991	R.J. Koelman	16
+ PDF	Newton polygons and curve gonalities	2011	Wouter Castryck Filip Cools	15
+ PDF	A MINIMAL SET OF GENERATORS FOR THE CANONICAL IDEAL OF A NONDEGENERATE CURVE	2014	Wouter Castryck Filip Cools	14
+	Syzygies of canonical curves and special linear series	1986	Frank–Olaf Schreyer	14
+	Computing zeta functions of nondegenerate curves	2006	Wouter Castryck Jan Denef Fréderik Vercauteren	13
+ PDF	Moving Out the Edges of a Lattice Polygon	2011	Wouter Castryck	12
+	A generalization of Baker's theorem	2009	Peter Beelen	12
+ PDF	On nondegeneracy of curves	2009	Wouter Castryck John Voight	11
+	Introduction to Toric Varieties.	1993	William Fulton	11
+ PDF	Linear Pencils Encoded in the Newton Polygon	2016	Wouter Castryck Filip Cools	10
+	On Petri's analysis of the linear system of quadrics through a canonical curve	1973	B. Saint-Donat	10
+ PDF Chat	Lattice Polygons and the Number 2<i>i</i> + 7	2009	Christian Haase Josef Schicho	10
+	None	2000	Peter Beelen Ruud Pellikaan	8
+ PDF	Lattice polygons and Green’s theorem	2004	Hal Schenck	8
+	Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori	1993	Victor V. Batyrev	8
+ PDF	Counting points on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">ab</mml:mi></mml:mrow></mml:msub></mml:math> curves using Monsky–Washnitzer cohomology	2005	Jan Denef Fréderik Vercauteren	7
+	Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology	2001	Kiran S. Kedlaya	7
+ PDF	Koszul cohomology and the geometry of projective varieties	1984	Mark L. Green	7
+	A criterion for the ideal of a projectively embedded toric surface to be generated by quadrics.	1993	Robert Jan Koelman	7
+	Newton polyhedra and the genus of complete intersections	1978	Askold Khovanskiĭ	7
+ PDF Chat	Lattice Polygons and the Number 2<I>i</I> + 7	2009	Christian Haase Josef Schicho	7
+ PDF	Lattice polygons and families of curves on rational surfaces	2010	Niels Lubbes Josef Schicho	7
+	Syzygies of toric varieties.	2006	Milena Hering	6
+ PDF	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak	6
+ PDF Chat	Green’s Conjecture for curves on rational surfaces with an anticanonical pencil	2013	Margherita Lelli–Chiesa	5
+	Lattice Polygons and the Number 12	2000	Bjorn Poonen Fernando Rodriguez-Villegas	5
+ PDF	A combinatorial interpretation for Schreyer's tetragonal invariants	2015	Wouter Castryck Filip Cools	5
+ PDF	Families of Meromorphic Functions on Compact Riemann Surfaces	1979	Makoto Namba	5
+ PDF	Cryptographic Hash Functions from Expander Graphs	2007	Denis Charles Kristin Lauter Eyal Z. Goren	5
+	Computing Riemann–Roch Spaces in Algebraic Function Fields and Related Topics	2002	Florian Heß	5
+ PDF	Lattice Points in Minkowski Sums	2008	Christian Haase Benjamin Nill Andreas Paffenholz Francisco Santos	5
+	On the graded Betti numbers of plane algebraic curves	1989	Frank Loose	5
+	Extension of morphisms defined on a divisor	1987	Fernando Serrano	5
+	On varieties of minimal degree (a centennial account)	1987	David Eisenbud Joe Harris	5
+	Graduate Texts in Mathematics	2020	J. H. van Lint	4
+ PDF Chat	Lifting of morphisms to quotient presentations	2003	Florian Berchtold	4
+	Examples of the application of Newton's polygon to the theory of singular points of algebraic functions	1894	H. F. Baker	4
+ PDF	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	4
+ PDF Chat	Multiples of Lattice Polytopes without Interior Lattice Points	2007	Victor V. Batyrev Benjamin Nill	4
+ PDF	Koszul Cohomology and Algebraic Geometry	2009	Marian Aprodu Jan Nagel	4
+ PDF	Abelian varieties over finite fields	1969	William C. Waterhouse	4
+ PDF	Factoring Integers with Elliptic Curves	1987	H. W. Lenstra	4
+ PDF	Computational aspects of gonal maps and radical parametrization of curves	2013	Josef Schicho Frank–Olaf Schreyer Martin Weimann	4
+	Fast Jacobian Group Arithmetic on C ab Curves	2000	Ryuichi Harasawa Joe Suzuki	4
+	Exponential Sums and Newton Polyhedra: Cohomology and Estimates	1989	Alan Adolphson Steven Sperber	4
+	Pick's Theorem	1993	Branko Grünbaum G. C. Shephard	4
+ PDF Chat	Gorenstein toric Fano varieties	2005	Benjamin Nill	4
+ PDF	Specialization of linear systems from curves to graphs	2008	Matthew Baker	4