Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Darrin Doud"'
Autor:
Darrin Doud, Avner Ash
Publikováno v:
Transactions of the American Mathematical Society. 373:273-293
Let Γ 0 ( n , N ) \Gamma _0(n,N) denote the usual congruence subgroup of type Γ 0 \Gamma _0 and level N N in SL ( n , Z ) \text {SL}(n,{\mathbb Z}) . Suppose for i = 1 , 2 i=1,2 that we have an irreducible odd n n -dimensional Galois representation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cd1a346cfcd88165b707d162ccd97ce
https://doi.org/10.1090/tran/7904
https://doi.org/10.1090/tran/7904
Autor:
Avner Ash, Darrin Doud
Publikováno v:
Annales Mathématiques Blaise Pascal. 25:207-246
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::168739b2f712d09433ab8cd1ce930401
https://doi.org/10.5802/ambp.375
https://doi.org/10.5802/ambp.375
Autor:
Darrin Doud, Avner Ash
Publikováno v:
Journal of Algebra. 465:81-99
We compute the action of Hecke operators on tensor products of cohomology classes of lower congruence subgroups of SL ( n , Z ) in trivial weight. We use this computation to prove that if each representation in a collection of Galois representations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c68cc223c98faf8c5a52b8828351bc0b
https://doi.org/10.1016/j.jalgebra.2016.06.030
https://doi.org/10.1016/j.jalgebra.2016.06.030
Autor:
Darrin Doud, Kevin Ronald Childers
Publikováno v:
Journal of Number Theory. 154:101-104
We prove a conjecture of Siman Wong concerning octahedral Galois representations of prime power conductor.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35579ba889a557b7c3265654583efbbb
https://doi.org/10.1016/j.jnt.2015.02.016
https://doi.org/10.1016/j.jnt.2015.02.016
Autor:
Avner Ash, Darrin Doud
Publikováno v:
Proceedings of the American Mathematical Society. 143:3801-3813
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82dada959207f939d82b5fd41e7b08cf
https://doi.org/10.1090/s0002-9939-2015-12559-2
https://doi.org/10.1090/s0002-9939-2015-12559-2
Autor:
Avner Ash, Darrin Doud
Publikováno v:
International Mathematics Research Notices. 2014:1379-1408
Let Fp be an algebraic closure of a finite field of characteristic p. Let ρ be a continuous homomorphism from the absolute Galois group of Q to GL(3, Fp) which is isomorphic to a direct sum of a character and a two-dimensional odd irreducible repres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf1022e30673106f880133aaffc367e9
https://doi.org/10.1093/imrn/rns256
https://doi.org/10.1093/imrn/rns256
Autor:
Russell Ricks, Darrin Doud
Publikováno v:
Proceedings of the American Mathematical Society. 138:409-415
Paul Gunnells has developed an algorithm for computing actions of Hecke operators on arithmetic cohomology below the cohomological dimension. One version of his algorithm uses a conjecture concerning LLL-reduced matrices. We prove this conjecture for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::478a2f79aab5d4d49f4cac5c9c7bb27b
https://doi.org/10.1090/s0002-9939-09-10131-4
https://doi.org/10.1090/s0002-9939-09-10131-4
Autor:
Meghan Dewitt, Darrin Doud
Publikováno v:
International Journal of Number Theory. :1-11
In 1992, Ash and McConnell presented computational evidence of a connection between three-dimensional Galois representations and certain arithmetic cohomology classes. For some examples, they were unable to determine the attached representation. For
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b99868bebf1b4ce4fcaa31a23e3b27a9
https://doi.org/10.1142/s1793042109001888
https://doi.org/10.1142/s1793042109001888
Autor:
Darrin Doud, Sharon Brueggeman
Publikováno v:
International Journal of Number Theory. :349-361
Using analytic techniques of Odlyzko and Poitou, we create tables of lower bounds for discriminants of number fields, including local corrections for ideals of known norm. Comparing the lower bounds found in these tables with upper bounds on discrimi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89a8947807824e300170657c356c5e9d
https://doi.org/10.1142/s1793042108001389
https://doi.org/10.1142/s1793042108001389
Autor:
Darrin Doud
Publikováno v:
Experimental Mathematics. 16:119-128
Serre's conjecture relates two-dimensional odd irreducible Galois representations over 𝔽 p to modular forms. We discuss a generalization of this conjecture to higher-dimensional Galois representations. In particular, for n-dimensional Galois repre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9dda551212e47004f48b63487192f16f
https://doi.org/10.1080/10586458.2007.10128989
https://doi.org/10.1080/10586458.2007.10128989