Katherine Stange
Assistant Professor • Ph.D. Brown University, 2008
Math 308

Research:

Arithmetic geometry, elliptic curves, algebraic and integer sequences, cryptography, arithmetic dynamics, Apollonian circle packings, game theory.

Select Publications:

  • The Tate pairing via elliptic nets.
  • Pairing-based cryptography—Pairing 2007, 329–348, Lecture Notes in Comput. Sci., 4575, Springer, Berlin, 2007.
  • Elliptic nets and elliptic curves. Algebra & Number Theory 5 (2011), no. 2, 197–229.
  • Silverman, Joseph H.; Stange, Katherine E.  Amicable pairs and aliquot cycles for elliptic curves. Exp. Math. 20 (2011), no. 3, 329–357.
  • Levine, Lionel; Sheffield, Scott; Stange, Katherine E.  A duality principle for selection games.  To appear in Proceedings of the American Mathematical Society, 8 pages.
  • Integral points on elliptic curves and explicit valuations of division polynomials.  Preprint.
  • The sensual Apollonian circle packing.  Preprint.