3 papers
math.NT2026
Impacted Buildings for GL(2)
Malors Espinosa, Zander Karaganis
In this paper we define a generating function for buildings of type (i.e. trees) that are enhanced with a certain filtration structure. We prove that this generat…
math.GT2025
Knots and Coxeter Groups
Dylan Burke, Geoffrey Cuff-Chartrand, Malors Espinosa +2
In this paper we study knots created by galleries in the affine Coxeter complex of type \widewedge{B3}. We bound the stick number by 40 and prove that the smallest length of threef…
math.GT2024
Knots Inside Fractals
Joshua Broden, Malors Espinosa, Noah Nazareth +1
We prove that all knots can be embedded into the Menger Sponge fractal. We prove that all Pretzel knots can be embedded into the Sierpinski Tetrahedron. Then we compare the number…