Ph.D. Brown University, 2008
- Math 308
- Mailing address:
- Department of Mathematics
- University of Colorado at Boulder
- Campus Box 395
- Boulder, CO 80309-0395
- Personal Website
- 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.