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 80309-0395
USA
Phone:
303-492-3346
Fax:
303-492-7707
Personal Website
 

http://math.colorado.edu/~kstange/

 
 
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.