Katherine Stange

Katherine Stange is a Professor of Mathematics at the University of Colorado Boulder. Her research bridges number theory, cryptography, and geometry, with particular focus on elliptic curves, isogeny-based cryptography, and complex dynamical systems.

Research explores:

• Arithmetic dynamics of Apollonian circle packings
• Isogeny-based post-quantum cryptographic protocols
• Algebraic structures in computational complexity
• Mathematical visualization and illustration techniques

Recent publications demonstrate increasing focus on computational aspects of algebraic structures, with multiple papers on tensor/group isomorphism problems. Teaching innovations include standards-based grading systems and visual mathematics pedagogy.

Awards include the NSF Postdoctoral Fellowship and Dean's Faculty Fellowship. Organizing 2026 trimester program at Institut Henri Poincaré in Paris.