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Conference

Computing Class Groups and Unit Groups in Magma

Elsenhans A-S, Voight J

Proceedings of the 2026 International Symposium on Symbolic and Algebraic Computation 2026
Article

The constructive inverse Galois problem via Hilbert modular forms: realizing the transitive group 17T7

van Bommel R, Costa E, Elkies ND, Keller T, Schiavone S, Voight J

arXiv 2026
Article

Explicit modularity of K3 surfaces with complex multiplication of large degree

Costa E, Elsenhans A-S, Jahnel J, Voight J

LuCaNT: Databases, Algorithms, and Computational Number Theory, Contemporary Mathematics 2026
Article

A framework for Tate modules of abelian varieties under isogeny

Frei S, Honigs K, Voight J

Essential Number Theory 2026
Article

Hypergeometric motives from Euler integral representations

Kelly TL, Voight J

Journal of the London Mathematical Society 2026
Article

Constructing ordinary representations of finite groups via extension

Steel A

Journal of Algebra 2026
Article

QRT map on a bielliptic surface

Joshi N, Nijhoff FW, Steel A

Journal of Physics A: Mathematical and Theoretical 2026
Article

Influence of the geometry on the mechanical performance of tubular interlockings: A study of the Sine Block

Macek D, Weiss M, Akpanya R, Brepols T, Holthusen H, Niemeyer AC

JOURNAL OF SOLIDS AND STRUCTURES 2026
Article

Construction of Toroidal Polyhedra corresponding to perfect Chains of isosceles Tetrahedra

Akpanya R, Krishna Kirekod V, Niemeyer AC, Robertz D

Journal of Geometry 2026
Article

Topologically Interlocking Blocks Inside the Tetroctahedrille

Akpanya R, Goertzen T, Niemeyer AC

Nexus Network Journal 2026
Article

A census of Cayley graphs

Evans RJ, Potočnik P

Journal of Symbolic Computation 2026
Conference

On abelian varieties whose torsion is not self-dual

Frei S, Honigs K, Voight J

Proceedings of the American Mathematical Society Series B 2025
Article

Computing Hilbert modular forms as orthogonal modular forms

Hein J, Tornaria G, Voight J

arXiv 2025
Article

On Galois inertial types of elliptic curves over Q_{p}

Dembélé L, Freitas N, Voight J

Mathematics of Computation, American Mathematical Society (AMS) 2025
Article

Simplicial surfaces with given automorphism group

Akpanya R, Goertzen T

Journal of Algebraic Combinatorics 2025
Article

Tightness of the Weight‐Distribution Bound for Strongly Regular Polar Graphs

Evans RJ, Goryainov S, Shalaginov L

Journal of Combinatorial Designs 2025
Article

Equitable 2-partitions of the Johnson graphs J(n,3)

Evans RJ, Gavrilyuk AL, Goryainov S, Vorob'ev K

Discrete Mathematics 2025
Article

Computing quadratic subfields of number fields

Elsenhans, Andreas-Stephan; Klüners, Jürgen

J. Comput. Algebra 2025
Article

GROUPS WITH FEW NONPOWER SUBGROUPS

ZHENG J, ZHOU W, TAYLOR DE

Bulletin of the Australian Mathematical Society 2024
Article

Ideal classes of orders in quaternion algebras

Marseglia S, Smit H, Voight J

Journal of Pure and Applied Algebra228(7):107649Elsevier 2024
Article

A database of basic numerical invariants of Hilbert modular surfaces

Assaf E, Babei A, Breen B, Costa E, Duque-Rosero J, Horawa A, Kieffer J, Kulkarni A, Molnar G, Schiavone S, Voight J

LuCaNT: LMFDB, Computation, and Number Theory, Contemporary Mathematics 2024
Article

A database of paramodular forms from quinary orthogonal modular forms

Assaf E, Ladd W, Rama G, Tornaría G, Voight J

LuCaNT: LMFDB, Computation, and Number Theory, Contemporary Mathematics 2024
Article

Hurwitz's lectures on the number theory of quaternions

Voight J

European Mathematical Society Magazine 2024
Article

Rational torsion points on abelian surfaces with quaternionic multiplication

Laga J, Schembri C, Shnidman A, Voight J

Forum of Mathematics Sigma 2024
Article

Bianchi period polynomials: Hecke action and congruences

Combes L

Research in Number Theory 2024
Article

Minimization of hypersurfaces

Elsenhans, Andreas-Stephan; Stoll, Michael

Math. Comp. 2024
Article

Real and complex multiplication on K3 surfaces via period integration

Elsenhans, Andreas-Stephan; Jahnel, Jörg

Exp. Math. 2024
Article

On the component group of the algebraic monodromy group of a K3 surface

Elsenhans, Andreas-Stephan; Jahnel, Jörg

J. Algebra 2024
Article

Computing Galois groups

Elsenhans, Andreas-Stephan

Int. J. Group Theory 2024
Article

Explicit families of K3 surfaces having real multiplication

Elsenhans, Andreas-Stephan; Jahnel, Jörg

Michigan Math. J. 2023
Article

Computing splitting fields using Galois theory and other Galois constructions

C Fieker and N Sutherland

Journal of Symbolic Computation 2023
Article

Frobenius trace distributions for K3 surfaces

Elsenhans, Andreas-Stephan; Jahnel, Jörg

J. Ramanujan Math. Soc. 2022
Article

2-adic point counting on K3 surfaces

Elsenhans, Andreas-Stephan; Jahnel, Jörg

Res. Number Theory 2022
Conference

Most permutations power to a cycle of small prime length

Glasby SP, Praeger CE, Unger WR

Proceedings of the Edinburgh Mathematical Society 2021
Article

Galois groups over rational function fields and Explicit Hilbert Irreducibility

David Krumm and Nicole Sutherland

Journal of Symbolic Computation 2021
Conference

The Hasse norm principle in global function fields

Manzateanu, A. and Newton, R. and Ozman, E. and Sutherland, N. and Uysal, R. G.

Women in Numbers Europe III: Research Directions in Number Theory. Papers from the Workshop (WIN-E3) held at La Hublais, Cesson-Sévigné (France) 2020
Article

Constructions using Galois Theory

Claus Fieker and Nicole Sutherland

ArXiv 2020

John J. Cannon and Allan K. Steel and William R. Unger

Journal of Algebra 2020
Article

Computing invariants of cubic surfaces

Elsenhans, Andreas-Stephan and Jahnel, Jörg

Matematiche (Catania) 2020
Article

Almost all permutations power to a cycle of prime length

Unger WR

arXiv 2019

Geoff Bailey and Stephen Cohen and Nicole Sutherland and Timothy Trudgian

Math. Comp. 2019

W.R. Unger

Journal of Symbolic Computation 2019

Andrew Booker and Stephen Cohen and Nicole Sutherland, and Timothy Trudgian

Mathematics of Computation 2019
Article

Computing subfields of number fields and applications to Galois group computations

Andreas-Stephan Elsenhans and Juergen Klueners

Journal of Symbolic Computation 2019

M. Watkins

Mathematika 2019

Fast detection of giant permutation groups

W.R. Unger

2019

Computing the socle of a large permutation group

W.R. Unger

2019

Elsenhans, Andreas-Stephan and Jahnel, Jörg

Int. J. Number Theory 2019

John J. Cannon and Derek F. Holt and William R. Unger

Journal of Symbolic Computation 2019
Article

On plane quartics with a Galois invariant Cayley octad

Elsenhans, Andreas-Stephan and Jahnel, Jörg

Eur. J. Math. 2019
Article

Normalisers of parabolic subgroups in finite unitary reflection groups

Muraleedaran K, Taylor DE

Journal of Algebra 2018
Article

Jacobi sums and Grössencharacters

M. Watkins

Publications math'ematiques de Besançon 2018

Mark Watkins

ICGA Journal 2017

Elsenhans, Andreas-Stephan and Jahnel, Jörg

LMS J. Comput. Math., suppl. A 2016

Fieker, C. and Zhang, Y.

LMS Journal of Computation and Mathematics 2016

Cannon, J. J. and Garonzi, M. and Levy, D. and Maroti, A. and Simion I.I.

Israel Journal of Mathematics 2016

Sutherland, Nicole

Bulletin of the Australian Mathematical Society 2016

Brendan Creutz

Mathematical Research Letters 2016

Allan Steel

Proceedings of the 7th International Workshop on Parallel Symbolic Computation 2015
Article

Appendix to Denominators of algebraic numbers in a number field by M. Ayad, A. Bayad and O. Kihel

Claus Fieker

J. Num. Thy 2015
Article

Moduli spaces and the inverse Galois problem for cubic surfaces

A.-S. Elsenhans and J. Jahnel

Transactions of the AMS 2015

Creutz, B. and Viray, B.

Manuscripta Math. 2015
Article

On the characteristic polynomial of the Frobenius on 'etale cohomology

A.-S. Elsenhans and J. Jahnel

Duke Mathematical Journal 2015

Jean-Franc

LMS Journal of Computation and Mathematics [electronic only ] 2014

Claus Fieker

LMS Journal of Computation and Mathematics [electronic only ] 2014

Claus Fieker

LMS Journal of Computation and Mathematics [electronic only ] 2014

Brendan Creutz

Mathematics of Computation 2014

M. Watkins

ICGA Journal 2014

Brendan Creutz

Bulletin of the London Mathematical Society 2013
Conference

Some Comments about Indefinite LLL

Mark Watkins

Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms, Proceedings of a BIRS Workshop 2013

$p$-adic verification of class number computations

Yinan Zhang

2013

Brendan Creutz

ANTS X: Proceedings of the Tenth Algorithmic Number Theory Symposium 2013

B. Allombert and F. Beukers and H. Cohen and A. Mellit and P. Molin and D. Roberts and F. Rodriguez Villegas and M. Vlasenko and M. Watkins

Explicit Methods in Number Theory 2013

Brendan Creutz and Robert L. Miller

J. Algebra 2012
Article

A Grunwald-Wang type theorem for abelian varieties

Brendan Creutz

Acta Arith. 2012

Michael Harrison

J. Symbolic Computation 2012

Jon Gonzalez-Sanchez and Michael Harrison and Irene Polo-Blanco and Josef Schicho

J. Symbolic Computation 2012

Taylor, D.E.

J. Algebra 2012

Mohammad Akhtar and Tom Coates and Sergey Galkin and Alexander M. Kasprzyk

SIGMA Symmetry Integrability Geom. Methods Appl. 2012
Article

Some remarks on Heegner point computations

M. Watkins

Explicit Methods in Number Theory 2012

Mark Watkins

Journal de th'eorie des nombres de Bordeaux 2012

Greenberg, Matthew and Voight, John

Math. Comp. 2011

Creutz, Brendan

Journal of Number Theory 2011
Article

The great trinomial hunt

Brent, Richard P. and Zimmermann, Paul

Notices of the American Mathematical Society 2011

Bracken, Carl and Byrne, Eimear and McGuire, Gary and Nebe, Gabriele

Designs, Codes and Cryptography 2011

Lisa Carbone and Leigh Cobbs and Scott H. Murray

Journal of Algebra 2011

Jimbo, Masakazu and Kunihara, Yuna and Laue, Reinhard and Sawa, Masanori

J. Comb. Theory, Ser. A 2011

Loeffler, David and Weinstein, Jared

Mathematics of Computation 2011

Murray, Scott H. and Roney-Dougal, Colva M.

Journal of Symbolic Computation 2011

Button, Jack O.

Experiment. Math. 2011

Boralevi, Ada and Buczy'nski, Jaros

Annali di Mat Pura ed Applicata 2011

Novocin, Andrew and Stehl'e

Proc. 43rd ACM Symposium on Theory of Computing 2011

Dan Roozemond

J. Algebra 2011

M. Watkins and A. Granville

Explicit Methods in Number Theory 2011

A new automorphism of X0(108)

Michael Harrison

2011
Article

Nondegenerate curves of low genus over small finite fields

Castryck, Wouter and Voight, John

Arithmetic, Geometry, Cryptography and Coding Theory 2009 2010

Brent, Richard P. and Zimmermann, Paul

Algorithmic Number Theory (Ninth International Symposium, ANTS-IX) 2010

Modern Computer Arithmetic

Brent, Richard P. and Zimmermann, Paul

2010

Detrey, J'e

Proceedings of the First international conference on Progress in cryptology: cryptology and information security in Latin America 2010

Dokchitser, Tim and Dokchitser, Vladimir

Annals of Math. 2010

Havas, George and Holt, Derek F.

J. Algebra 2010

Holt, Derek F. and Roney-Dougal, Colva M.

LMS J. Comput. Math. 2010

Stehl'e

Advances in Cryptology - ASIACRYPT 2010 2010

Nebe, Gabriele

J. Number Theory 2009

Solving the Shortest Lattice Vector Problem in Time 2^2.465n

Xavier Pujol and Damien Stehl'e

2009

Unitary reflection groups

Lehrer, Gustav I. and Taylor, Donald E.

2009

M. Watkins

Explicit Methods in Number Theory 2009

Krishnasamy, Muraleedaran and Taylor, D. E.

J. Aust. Math. Soc. 2008
Article

Some long-period random number generators using shifts and xors

Brent, R.P.

ANZIAM Journal 2007

Abelson, David and Hong, Seok-Hee and Taylor, D. E.

Discrete Appl. Math. 2007

Abelson, David and Hong, Seok-Hee and Taylor, Donald E.

Graph drawing 2002

Howlett, R. B. and Rylands, L. J. and Taylor, D. E.

J. Symbolic Comput. 2001
Article

Two results concerning distance-regular directed graphs

Combe, D. and Taylor, D. E.

Australas. J. Combin. 2001

Rylands, L. J. and Taylor, D. E.

Des. Codes Cryptogr. 2000

Ram, Arun and Taylor, D. E.

Manuscripta Math. 1999

Rylands, L. J. and Taylor, D. E.

J. Symbolic Comput. 1998

Howlett, R. B. and Rowley, P. J. and Taylor, D. E.

Manuscripta Math. 1997
Article

Vertex-primitive half-transitive graphs

Taylor, D. E. and Xu, Ming Yao

J. Austral. Math. Soc. Ser. A 1994

Introductory lectures on Siegel modular forms (Book Review)

W. Bosma

1992

The geometry of the classical groups

Taylor, Donald E.

1992

Bergeron, F. and Bergeron, N. and Howlett, R. B. and Taylor, D. E.

J. Algebraic Combin. 1992

Kantor, W. M. and Taylor, D. E.

J. Algorithms 1988