Katherine Stange
Assistant Professor
Ph.D. Brown University, 2008
 Office:
 Math 308
 Email:
 kstange@math.colorado.edu
 Mailing address:
 Department of Mathematics
 University of Colorado Boulder
 Campus Box 395
 Boulder, CO 803090395
 USA
 Phone:
 3034923346
 Fax:
 3034927707
 Personal Website
 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.
Pairingbased 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.