4 citations · 4 across the 2 of their papers we have counts for
6 papers
A Two-Dimensional Minkowski ?(x) Function
Olga R. Beaver, Thomas Garrity
A one-to-one continuous function from a triangle to itself is defined that has both interesting number theoretic and analytic properties. This function is shown to be a natural gen…
A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm
S. Assaf, L. Chen, T. Cheslack-Postava +5
A dual approach to defining the triangle sequence (a type of multidimensional continued fraction algorithm, initially developed in NT/9906016) for a pair of real numbers is present…
Global Structures on CR Manifolds via Nash Blow-ups
Thomas Garrity
A generic compact real codimension two submanifold X of C^(n+2) will have a CR structure at all but a finite number of points (failing at the complex jump points J). The main theor…
On relations of invariants for vector-valued forms
Thomas Garrity, Zachary Grossman
An algorithm is given for computing explicit formulas for the generators of relations among the invariant rational functions for vector-valued bilinear forms. These formulas have a…
On periodic sequences for algebraic numbers
Thomas Garrity
For each positive integer n greater than or equal to 2, a new approach to expressing real numbers as sequences of nonnegative integers is given. The n=2 case is equivalent to the s…
Intersection Forms and the Adjunction Formula for Four-manifolds via CR Geometry
Mikhail Chkhenkeli, Thomas Garrity
This is primarily an expository note showing that earlier work of Lai on CR geometry provides a clean interpretation, in terms of a Gauss map, for an adjunction formula for embedde…