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## Castryck, Wouter

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 Author ID: castryck.wouter Published as: Castryck, W.; Castryck, Wouter External Links: MGP · Wikidata
 Documents Indexed: 35 Publications since 2006
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#### Co-Authors

 3 single-authored 9 Cools, Filip 9 Vercauteren, Frederik 6 Iliashenko, Ilia 3 Hubrechts, Hendrik 3 Sutherland, Andrew V. 2 Bootland, Carl 2 Bos, Joppe W. 2 Demeyer, Jeroen 2 Harcos, Gergely 2 Kowalski, Emmanuel 2 Lemmens, Alexander 2 Michel, Philippe Gabriel 2 Nguyen, Kien Huu 2 Tao, Terence 2 Voight, John Michael 1 Aubry, Yves 1 Bonte, Charlotte 1 Cluckers, Raf 1 Denef, Jan 1 Dittmann, Philip 1 Folsom, Amanda 1 Fouvry, Etienne 1 Ghorpade, Sudhir R. 1 Gibson, Andrew 1 Ibadula, Denis 1 Lachaud, Gilles 1 Lange, Tanja 1 Laterveer, Robert 1 Lemahieu, Ann 1 Martindale, Chloe 1 Maynard, James 1 Nelson, Paul D. 1 Nielsen, Pace P. 1 O’Sullivan, Michael E. 1 Ounaies, Myriam 1 Paldi, Eytan 1 Panny, Lorenz 1 Pintz, Janos 1 Polymath, D. H. J. 1 Ram, Samrith 1 Renes, Joost 1 Roberts, David Michael 1 Streng, Marco 1 Testa, Damiano 1 Tuitman, Jan 1 Xie, Xiaofeng
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#### Serials

 3 Algebra & Number Theory 2 Journal of Algebraic Combinatorics 1 American Mathematical Monthly 1 Mathematics of Computation 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Mathematika 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Documenta Mathematica 1 European Mathematical Society Newsletter 1 The Ramanujan Journal 1 Revista Matemática Complutense 1 LMS Journal of Computation and Mathematics 1 The Quarterly Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 IMRP. International Mathematics Research Papers 1 Journal of Mathematical Cryptology 1 Advances in Mathematics of Communications
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#### Fields

 23 Algebraic geometry (14-XX) 14 Number theory (11-XX) 8 Information and communication theory, circuits (94-XX) 5 Convex and discrete geometry (52-XX) 4 Commutative algebra (13-XX) 2 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

26 Publications have been cited 136 times in 97 Documents Cited by Year
New equidistribution estimates of Zhang type. Zbl 1307.11097
Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng
2014
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
2006
Moving out the edges of a lattice polygon. Zbl 1237.52002
Castryck, Wouter
2012
Linear pencils encoded in the Newton polygon. Zbl 1405.14121
Castryck, Wouter; Cools, Filip
2017
On nondegeneracy of curves. Zbl 1177.14089
Castryck, Wouter; Voight, John
2009
Provably weak instances of ring-LWE revisited. Zbl 1347.94025
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2016
A minimal set of generators for the canonical ideal of a nondegenerate curve. Zbl 1330.14045
Castryck, Wouter; Cools, Filip
2015
The distribution of the number of points modulo an integer on elliptic curves over finite fields. Zbl 1264.14044
Castryck, Wouter; Hubrechts, Hendrik
2013
CSIDH: an efficient post-quantum commutative group action. Zbl 1407.81084
Castryck, Wouter; Lange, Tanja; Martindale, Chloe; Panny, Lorenz; Renes, Joost
2018
Newton polygons and curve gonalities. Zbl 1376.14031
Castryck, Wouter; Cools, Filip
2012
The probability that the number of points on the Jacobian of a genus 2 curve is prime. Zbl 1333.11059
Castryck, Wouter; Folsom, Amanda; Hubrechts, Hendrik; Sutherland, Andrew V.
2012
Intrinsicness of the Newton polygon for smooth curves on $${\mathbb {P}}^1\times {\mathbb {P}}^1$$. Zbl 1393.14028
Castryck, Wouter; Cools, Filip
2017
Computing zeta functions in families of $$C_{a,b}$$ curves using deformation. Zbl 1189.11060
Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik
2008
A combinatorial interpretation for Schreyer’s tetragonal invariants. Zbl 1365.14042
Castryck, Wouter; Cools, Filip
2015
The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078
Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe
2014
Erratum to: Newton polygons and curve gonalities. Zbl 1376.14032
Castryck, Wouter; Cools, Filip
2012
Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024
Castryck, Wouter; Vercauteren, Frederik
2011
Canonical syzygies of smooth curves on toric surfaces. Zbl 1425.14025
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
2020
Point counting on curves using a gonality preserving lift. Zbl 1442.14096
Castryck, Wouter; Tuitman, Jan
2018
A lower bound for the gonality conjecture. Zbl 1387.13032
Castryck, Wouter
2017
Privacy-friendly forecasting for the smart grid using homomorphic encryption and the group method of data handling. Zbl 1408.94928
Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2017
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2016
The lattice size of a lattice polygon. Zbl 1432.52022
Castryck, Wouter; Cools, Filip
2015
Curves in characteristic $$2$$ with non-trivial $$2$$-torsion. Zbl 1327.14139
Castryck, Wouter; Streng, Marco; Testa, Damiano
2014
Constraints on counterexamples to the Casas-Alvero conjecture and a verification in degree $$12$$. Zbl 1328.12001
Castryck, Wouter; Laterveer, Robert; Ounaïes, Myriam
2014
A shortened classical proof of the quadratic reciprocity law. Zbl 1228.11006
Castryck, Wouter
2008
Canonical syzygies of smooth curves on toric surfaces. Zbl 1425.14025
Castryck, Wouter; Cools, Filip; Demeyer, Jeroen; Lemmens, Alexander
2020
CSIDH: an efficient post-quantum commutative group action. Zbl 1407.81084
Castryck, Wouter; Lange, Tanja; Martindale, Chloe; Panny, Lorenz; Renes, Joost
2018
Point counting on curves using a gonality preserving lift. Zbl 1442.14096
Castryck, Wouter; Tuitman, Jan
2018
Linear pencils encoded in the Newton polygon. Zbl 1405.14121
Castryck, Wouter; Cools, Filip
2017
Intrinsicness of the Newton polygon for smooth curves on $${\mathbb {P}}^1\times {\mathbb {P}}^1$$. Zbl 1393.14028
Castryck, Wouter; Cools, Filip
2017
A lower bound for the gonality conjecture. Zbl 1387.13032
Castryck, Wouter
2017
Privacy-friendly forecasting for the smart grid using homomorphic encryption and the group method of data handling. Zbl 1408.94928
Bos, Joppe W.; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2017
Provably weak instances of ring-LWE revisited. Zbl 1347.94025
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2016
On error distributions in ring-based LWE. Zbl 1404.94048
Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik
2016
A minimal set of generators for the canonical ideal of a nondegenerate curve. Zbl 1330.14045
Castryck, Wouter; Cools, Filip
2015
A combinatorial interpretation for Schreyer’s tetragonal invariants. Zbl 1365.14042
Castryck, Wouter; Cools, Filip
2015
The lattice size of a lattice polygon. Zbl 1432.52022
Castryck, Wouter; Cools, Filip
2015
New equidistribution estimates of Zhang type. Zbl 1307.11097
Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng
2014
The “Bounded gaps between primes” Polymath project – a retrospective analysis. Zbl 1315.01078
Polymath, D. H. J.; Tao, Terence; Gibson, Andrew; Nielsen, Pace; Maynard, James; Harcos, Gergely; Roberts, David; Sutherland, Andrew; Castryck, Wouter; Kowalski, Emmanuel; Michel, Philippe
2014
Curves in characteristic $$2$$ with non-trivial $$2$$-torsion. Zbl 1327.14139
Castryck, Wouter; Streng, Marco; Testa, Damiano
2014
Constraints on counterexamples to the Casas-Alvero conjecture and a verification in degree $$12$$. Zbl 1328.12001
Castryck, Wouter; Laterveer, Robert; Ounaïes, Myriam
2014
The distribution of the number of points modulo an integer on elliptic curves over finite fields. Zbl 1264.14044
Castryck, Wouter; Hubrechts, Hendrik
2013
Moving out the edges of a lattice polygon. Zbl 1237.52002
Castryck, Wouter
2012
Newton polygons and curve gonalities. Zbl 1376.14031
Castryck, Wouter; Cools, Filip
2012
The probability that the number of points on the Jacobian of a genus 2 curve is prime. Zbl 1333.11059
Castryck, Wouter; Folsom, Amanda; Hubrechts, Hendrik; Sutherland, Andrew V.
2012
Erratum to: Newton polygons and curve gonalities. Zbl 1376.14032
Castryck, Wouter; Cools, Filip
2012
Toric forms of elliptic curves and their arithmetic. Zbl 1228.14024
Castryck, Wouter; Vercauteren, Frederik
2011
On nondegeneracy of curves. Zbl 1177.14089
Castryck, Wouter; Voight, John
2009
Computing zeta functions in families of $$C_{a,b}$$ curves using deformation. Zbl 1189.11060
Castryck, Wouter; Hubrechts, Hendrik; Vercauteren, Frederik
2008
A shortened classical proof of the quadratic reciprocity law. Zbl 1228.11006
Castryck, Wouter
2008
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
2006
all top 5

#### Cited by 159 Authors

 11 Castryck, Wouter 7 Cools, Filip 4 Garcia, Stephan Ramon 3 Hubrechts, Hendrik 3 Lemmens, Alexander 3 Luca, Florian 3 Tuitman, Jan 3 Vercauteren, Frederik 2 Achter, Jeffrey D. 2 Ahmadi, Omran 2 Baker, Roger C. 2 Dais, Dimitrios I. 2 Demeyer, Jeroen 2 Farashahi, Reza Rezaeian 2 Fouvry, Etienne 2 Granger, Robert A. 2 Iliashenko, Ilia 2 Irving, Alastair James 2 Joswig, Michael 2 Lauter, Kristin Estella 2 Morrison, Ralph 2 Rojas, J. Maurice 2 Udell, Gabe 2 Wulcan, Elizabeth 2 Yao, David D. W. 1 Aberdein, Andrew 1 Akbary, Amir 1 Albrecht, Martin R. 1 Avendano, Martin 1 Averkov, Gennadiy 1 Bai, Shi 1 Blomer, Valentin 1 Boneh, Dan 1 Bootland, Carl 1 Brieulle, Ludovic 1 Brodsky, Sarah B. 1 Cartwright, Dustin A. 1 Case, Benjamin M. 1 Chen, Hao 1 Chen, Yao 1 Chestnut, Stephen R. 1 Coppens, Marc 1 Crétois, Rémi 1 da Silva, João Paulo 1 D’Adderio, Michele 1 Dahab, Ricardo 1 David, Chantal 1 De Feo, Luca 1 Debry, Christophe 1 Doliskani, Javad 1 Ducas, Léo 1 Dudzik, Andrew 1 Enge, Andreas 1 Fadavi, Mojtaba 1 Flori, Jean-Pierre 1 Freiberg, Tristan 1 Gao, Shuhong 1 Gaudry, Pierrick 1 Glass, Darren B. 1 Gong, Guang 1 Halupczok, Karin 1 Hampe, Simon 1 Harrison, Michael C. 1 Harvey, David I. 1 Herold, Gottfried 1 Hildebrand, Robert 1 Holowinsky, Roman 1 Howe, Everett W. 1 Ibrahim, Ashraf S. 1 Jensen, David L. 1 Jones, Lenny K. 1 Kahoro, Elvis 1 Kalinin, Nikita Sergeevich 1 Kawaguchi, Ryo 1 Kohel, David R. 1 Komeda, Jiryo 1 Kopp, Leann 1 Koshiba, Takeshi 1 Kostov, Vladimir Petrov 1 Koukoulopoulos, Dimitris 1 Kowalski, Emmanuel 1 Krashen, Daniel 1 Lang, Lionel 1 LeGrow, Jason T. 1 Leonardi, Christopher R. 1 Li, Luen-Chau 1 Li, Songsong 1 López, Julio E. 1 Lubbes, Niels 1 Manjunath, Madhusudan 1 Martin, Ursula 1 Martindale, Chloe 1 May, Alexander 1 Maynard, James 1 Merino, Bernardo González 1 Michel, Philippe Gabriel 1 Milićević, Djordje 1 Minzlaff, Moritz 1 Mittmann, Johannes 1 Nelson, Paul D. ...and 59 more Authors
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#### Cited in 57 Serials

 6 Journal of Number Theory 5 Mathematics of Computation 4 Finite Fields and their Applications 4 Journal of Mathematical Cryptology 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Journal of Symbolic Computation 3 Designs, Codes and Cryptography 2 Acta Arithmetica 2 Journal of Combinatorial Theory. Series A 2 The Ramanujan Journal 2 Advances in Mathematics of Communications 1 Communications in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Compositio Mathematica 1 Journal of Algebra 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 Advances in Applied Mathematics 1 Discrete & Computational Geometry 1 SIAM Journal on Discrete Mathematics 1 Journal of Cryptology 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 The Electronic Journal of Combinatorics 1 Bulletin des Sciences Mathématiques 1 Annals of Combinatorics 1 Revista Matemática Complutense 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Integers 1 Advances in Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 Chebyshevskiĭ Sbornik 1 Mathematics in Computer Science 1 Journal of Commutative Algebra 1 Japanese Journal of Mathematics. 3rd Series 1 Cryptography and Communications 1 Science China. Mathematics 1 Research in the Mathematical Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Algebra and Geometry 1 Algebraic Combinatorics
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#### Cited in 18 Fields

 51 Number theory (11-XX) 48 Algebraic geometry (14-XX) 16 Information and communication theory, circuits (94-XX) 14 Convex and discrete geometry (52-XX) 6 Commutative algebra (13-XX) 5 Computer science (68-XX) 4 Field theory and polynomials (12-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)

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