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Stange, Katherine E Associate Professor

Positions

Research Areas research areas

Research

research overview

  • Dr. Stange is especially interested in the relationship between geometry and number theory. She is interested in arithmetic geometry, including elliptic and modular curves, as well as the arithmetic of Kleinian groups, particularly the interplay between algebraic number theory and hyperbolic geometry. Other work focuses on the connections between arithmetic recurrence structures (such as integer sequences defined by a recurrence relation) and geometric objects (such as abelian varieties). She is also active in cryptography, including elliptic curve cryptography and lattice-based post-quantum cryptography. She has wide-ranging interests, including Apollonian circle packings, abelian sandpiles, arithmetic dynamics and game theory.

keywords

  • Number theory, arithmetic geometry, Kleinian groups, elliptic curves, integer sequences, elliptic curve cryptography, lattice-based post-quantum cryptography, Diophantine approximation, arithmetic dynamics, Apollonian circle packings

Publications

selected publications

Teaching

courses taught

Background

International Activities

global connections related to teaching and scholarly work (in recent years)

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