David Zywina
- On the possible images of the mod ell representations associated to\n elliptic curves over Q
2015/08/30 by David Zywina, Zywina, David · 10 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)
- Hilbert's irreducibility theorem and the larger sieve
2010/11/30 by David Zywina, Zywina, David · 5 citations
Mathematics · #11F80 #11N36 (Secondary) #12E25 (Primary) 11G05 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F80 #msc:11G05 #msc:11N36 #msc:12E25
- Bounds for Serre's open image theorem
2011/02/23 by David Zywina, Zywina, David · 2 citations
Computer Science · Mathematics · #11F80 (Secondary) #11G05 (Primary) #Algebraic Geometry and Number Theory #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #math.NT #msc:11F80 #msc:11G05
- Explicit Class Field Theory for global function fields
2011/10/17 by David Zywina, Zywina, David · 2 citations
Mathematics · #11R37 (Primary) 11G09 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G09 #msc:11R37
- Possible indices for the Galois image of elliptic curves over Q
2015/08/31 by David Zywina, Zywina, David · 2 citations
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)
- A refinement of Koblitz's conjecture
2009/09/29 by David Zywina, Zywina, David · 1 citation
Mathematics · #11G05 #11N05 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G05 #msc:11N05
- Drinfeld modules with maximal Galois action on their torsion points
2011/10/19 by David Zywina, Zywina, David · 1 citation
Mathematics · #11G09 (Primary) 11F80 #11R58 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F80 #msc:11G09 #msc:11R58
- On the surjectivity of mod \ℓ representations associated to elliptic\n curves
2015/08/30 by David Zywina, Zywina, David · 1 citation
Mathematics · Computer Science · Arts and Humanities · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #Historical Studies and Socio-cultural Analysis
- On the surjectivity of mod ℓℓ representations associated to elliptic curves
2022/06/30 by David Zywina · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #Advanced Algebra and Geometry
- The splitting of reductions of an abelian variety
2011/11/02 by David Zywina, Zywina, David · 1 voice
Mathematics · #14K15 (Primary) 11F80 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F80 #msc:14K15
- Rank one elliptic curves and rank stability
2025/05/22 by David Zywina, Zywina, David · 3 citations
Computer Science · Mathematics · #11G18 Primary) 14J27 (Secondary) #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT)
- An explicit Jacobian of dimension 3 with maximal Galois action
2015/08/31 by David Zywina, Zywina, David · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT) #Polynomial and algebraic computation
- An elliptic surface with infinitely many fibers for which the rank does not jump
2025/02/03 by David Zywina, Zywina, David · 1 citation
Computer Science · Mathematics · #11G18 (Primary) 14J27 (Secondary) #Advanced Mathematical Modeling in Engineering #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Number Theory (math.NT)