Zywina, David

1. On the possible images of the mod ell representations associated to\n elliptic curves over Q
   2015/08/30 by David Zywina, Zywina, David · 9 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)
2. Hilbert's irreducibility theorem and the larger sieve
   2010/11/30 by David Zywina, Zywina, David · 3 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)
3. 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
4. Explicit Class Field Theory for global function fields
   2011/10/17 by Zywina, David · 2 citations
   #11R37 (Primary) 11G09 (Secondary) #FOS: Mathematics #Number Theory (math.NT)
5. A refinement of Koblitz's conjecture
   2009/09/29 by Zywina, David · 1 citation
   #11G05 #11N05 #FOS: Mathematics #Number Theory (math.NT)
6. Drinfeld modules with maximal Galois action on their torsion points
   2011/10/19 by Zywina, David · 1 citation
   #11G09 (Primary) 11F80 #11R58 (Secondary) #FOS: Mathematics #Number Theory (math.NT)
7. Possible indices for the Galois image of elliptic curves over Q
   2015/08/31 by David Zywina, Zywina, David · 1 citation
   Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)
8. 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
9. Modular forms and some cases of the inverse Galois problem
   2015/08/31 by Zywina, David · 1 citation
   #FOS: Mathematics #Number Theory (math.NT)
10. Open image computations for elliptic curves over number fields
    2024/03/24 by Zywina, David · 1 citation
    #11G05 (Primary) 11F80 (Secondary) #FOS: Mathematics #Number Theory (math.NT)
11. The splitting of reductions of an abelian variety
    2011/11/02 by Zywina, David · 1 voice
    #14K15 (Primary) 11F80 (Secondary) #FOS: Mathematics #Number Theory (math.NT)
12. Rank one elliptic curves and rank stability
    2025/05/22 by David Zywina, Zywina, David · 2 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)
13. 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
14. There are infinitely many elliptic curves over the rationals of rank 2
    2025/02/04 by Zywina, David · 2 citations
    #11G18 (Primary) 14J27 (Secondary) #FOS: Mathematics #Number Theory (math.NT)
15. 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)