4 papers
The arithmetic of trees
Adriano Bruno, Dan Yasaki
The arithmetic of the natural numbers can be extended to arithmetic operations on planar binary trees. This gives rise to a non-commutative arithmetic theory. In this exposition, w…
Hecke operators and Hilbert modular forms
Paul E. Gunnells, Dan Yasaki
Let F be a real quadratic field with ring of integers O and with class number 1. Let Gamma be a congruence subgroup of GL_2 (O). We describe a technique to compute the action of th…
Integral cohomology of certain Picard modular surfaces
Dan Yasaki
Let Gamma be a congruence subgroup of the Picard modular group of an imaginary number field k, and let D be the associated symmetric space. We describe a method to compute the inte…
The elliptic fixed points of the Picard modular group over the Gaussian integers
Dan Yasaki
We explicitly compute the ellitpic points and isotropy groups for the action of the Picard modular group over the Gaussian integers on 2-dimensional complex hyperbolic space.