Katherine Stange

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.