Mathematics

Research


"Primitive Integral Solutions to x^2 + y^3 = z^10," to be submitted.

Using modular methods and Chabauty techniques for elliptic curves over number fields, we classify the primitive integer solutions to x^2 + y^3 = z^{10}

.pdf version
ArXiv version
Transcripts of computations


The Chabauty Coleman Bound at a Prime of Bad Reduction (preprint, slightly revised from the arXiv version)


Expository

  • Serre Spectral Sequences and Applications (Term Paper for Peter Teichner's Math 215b, Algebraic Topology; May 2, 2006)   pdf   tex

    Lecture Notes

       
    My notes
    Course title (link to course page)
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    Additional Resources
    (pdf)
    Moduli of Surfaces BAGS: the joint Harvard/MIT Baby Algebraic geometry seminar Fall 2007
    (pdf)
    Finite Groups in Number Theory Lectures by Serre Fall 2007