×

zbMATH — the first resource for mathematics

Bröker, Reinier

Compute Distance To:
Author ID: broker.reinier Recent zbMATH articles by "Bröker, Reinier"
Published as: Bröker, Reinier
External Links: MGP
Documents Indexed: 16 Publications since 2004

Publications by Year

Citations contained in zbMATH Open

15 Publications have been cited 103 times in 76 Documents Cited by Year
Modular polynomials via isogeny volcanoes. Zbl 1267.11125
Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V.
26
2012
Computing Hilbert class polynomials. Zbl 1205.11139
Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin
14
2008
Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060
Bröker, Reinier; Gruenewald, David; Lauter, Kristin
10
2011
A \(p\)-adic algorithm to compute the Hilbert class polynomial. Zbl 1223.11073
Bröker, Reinier
9
2008
Constructing elliptic curves of prime order. Zbl 1162.11028
Bröker, Reinier; Stevenhagen, Peter
9
2008
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
6
2015
Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428
Bröker, Reinier; Charles, Denis; Lauter, Kristin
6
2008
An explicit height bound for the classical modular polynomial. Zbl 1245.11079
Bröker, Reinier; Sutherland, Andrew V.
5
2010
Modular polynomials for genus 2. Zbl 1252.11051
Bröker, Reinier; Lauter, Kristin
5
2009
Constructing supersingular elliptic curves. Zbl 1234.11078
Bröker, Reinier
4
2009
Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022
Bröker, Reinier; Stevenhagen, Peter
3
2007
Elliptic curves with a given number of points. Zbl 1207.11065
Bröker, Reinier; Stevenhagen, Peter
3
2004
Evaluating Igusa functions. Zbl 1304.11030
Bröker, Reinier; Lauter, Kristin
1
2014
Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085
Bröker, Reinier; Lauter, Kristin; Streng, Marco
1
2013
\(p\)-adic class invariants. Zbl 1269.11058
Bröker, Reinier
1
2011
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
6
2015
Evaluating Igusa functions. Zbl 1304.11030
Bröker, Reinier; Lauter, Kristin
1
2014
Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085
Bröker, Reinier; Lauter, Kristin; Streng, Marco
1
2013
Modular polynomials via isogeny volcanoes. Zbl 1267.11125
Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V.
26
2012
Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060
Bröker, Reinier; Gruenewald, David; Lauter, Kristin
10
2011
\(p\)-adic class invariants. Zbl 1269.11058
Bröker, Reinier
1
2011
An explicit height bound for the classical modular polynomial. Zbl 1245.11079
Bröker, Reinier; Sutherland, Andrew V.
5
2010
Modular polynomials for genus 2. Zbl 1252.11051
Bröker, Reinier; Lauter, Kristin
5
2009
Constructing supersingular elliptic curves. Zbl 1234.11078
Bröker, Reinier
4
2009
Computing Hilbert class polynomials. Zbl 1205.11139
Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin
14
2008
A \(p\)-adic algorithm to compute the Hilbert class polynomial. Zbl 1223.11073
Bröker, Reinier
9
2008
Constructing elliptic curves of prime order. Zbl 1162.11028
Bröker, Reinier; Stevenhagen, Peter
9
2008
Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428
Bröker, Reinier; Charles, Denis; Lauter, Kristin
6
2008
Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022
Bröker, Reinier; Stevenhagen, Peter
3
2007
Elliptic curves with a given number of points. Zbl 1207.11065
Bröker, Reinier; Stevenhagen, Peter
3
2004
all top 5

Cited by 104 Authors

11 Sutherland, Andrew V.
6 Lauter, Kristin Estella
5 Bröker, Reinier
4 Shaska, Tanush
3 Bisson, Gaetan
3 Enge, Andreas
3 Ionica, Sorina
3 Lorenzo García, Elisa
3 Malmendier, Andreas
3 Robert, Damien
3 Shparlinski, Igor E.
3 Streng, Marco
2 Biasse, Jean-François
2 Costello, Craig
2 De Feo, Luca
2 Howe, Everett W.
2 Kılıçer, Pınar
2 Konstantinou, Elisavet
2 Kontogeorgis, Aristides I.
2 Menezes, Alfred J.
2 Milio, Enea
2 Moody, Dustin
2 Naehrig, Michael
2 Schost, Éric
2 Stevenhagen, Peter
2 Thomé, Emmanuel
2 Yang, Tonghai
2 Yao, David D. W.
1 Adj, Gora
1 Ahmadi, Omran
1 Álvarez-Bermejo, José Antonio
1 Bajolet, Aurélien
1 Bartoli, Daniele
1 Bonnetain, Xavier
1 Brooks, Ernest Hunter
1 Bruinier, Jan Hendrik
1 Chan, Heng Huat
1 Chevardin, V. E.
1 Colò, Leonardo
1 Cosset, Romain
1 Deines-Schartz, Alyson
1 Doliskani, Javad
1 Dose, Valerio
1 Fernandez, Julio
1 Fieker, Claus
1 Finotti, Luís R. A.
1 Fisher, Tom A.
1 Fité, Francesc
1 Fouquet, Mireille
1 Freeman, David Mandell
1 Frey, Gerhard
1 Galbraith, Steven D.
1 Gaudry, Pierrick
1 Giulietti, Massimo
1 González, Josep R.
1 Hibner Koblitz, Ann
1 Hugounenq, Cyril
1 Jacobson, Michael John jun.
1 Jetchev, Dimitar P.
1 Joux, Antoine
1 Kawakita, Motoko Qiu
1 Khuri-Makdisi, Kamal
1 Koblitz, Neal I.
1 Kodrnja, Iva
1 Kohel, David R.
1 Kolesnikov, N. S.
1 LeGrow, Jason T.
1 Lodroman, Antonela
1 Longa, Patrick
1 López-Ramos, Juan Antonio
1 Lubicz, David
1 Martindale, Chloe
1 Miret, Josep M.
1 Montanucci, Maria
1 Morain, François
1 Muić, Goran
1 Newton, Rachel
1 Novoselov, S. A.
1 Ono, Ken
1 Ozman, Ekin
1 Pazuki, Fabien
1 Plût, Jérôme
1 Pring, Benjamin
1 Rosen, Michael I.
1 Rouse, Jeremy A.
1 Rubin, Karl Cooper
1 Satoh, Takakazu
1 Schaeffer, George J.
1 Scholl, Travis
1 Schoof, René
1 Schrottenloher, André
1 Shumow, Daniel
1 Silverberg, Alice
1 Soukharev, Vladimir
1 Tan, Chik How
1 Taraskin, Oleg
1 Templier, Nicolas
1 Tibouchi, Mehdi
1 Valera, Javier
1 Vercauteren, Frederik
...and 4 more Authors

Citations by Year