The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic curves and higher genus curves. Another theme is cryptography and coding theory, including elliptic curve cryptography and lattice-based cryptography. On the analytic side, there is a focus on automorphic forms, analytic number theory and harmonic analysis. The group also has a long tradition in Diophantine approximation.
||arithmetic geometry, algebraic geometry
||arithmetic geometry, space-time coding
||number theory, special functions
||arithmetic geometry, including elliptic curves and cryptographic applications, as well as Kleinian groups, Diophantine approximation, and lattice-based cryptography
||transcendental number theory, mathematics and the humanities, mathematics education