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math.NT2002
Modularity of some potentially Barsotti-Tate Galois representations
David Savitt
We prove a portion of a conjecture of B. Conrad, F. Diamond, and R. Taylor, yielding some new cases of the Fontaine-Mazur conjectures, specifically, the modularity of certain poten…
math.NT2002
The maximum number of points on a curve of genus 4 over F_8 is 25
David Savitt, Kristin Lauter
This paper proves that the maximum number of rational points on a smooth, absolutely irreducible genus 4 curve over the field of 8 elements is 25. The body of the paper shows that…