5 citations · 6 across the 7 of their papers we have counts for
8 papers
Knots and the Sierpinski Tetrahedron
Malors Espinosa
In this paper we prove that there are infinitely many knots that cannot be embedded in the 1-skeletons of the finite iterations of the Sierpinski tetrahedron fractal. We do this by…
Yun's zeta function and the overorder zeta function for Gorenstein cubic orders
Taiwang Deng, Malors Espinosa
For every Gorenstein cubic -order, we prove an identity equating Yun's zeta function, defined by counting finite-index submodules of the trace dual, with the explicit ov…
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…
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…
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…
The Multiplicative Formula of Langlands for Orbital Integrals in GL(2)
Malors Espinosa
Langlands has introduced a formula for a specific product of orbital integrals in $\mbox{GL}(2, \mathbb{Q})$. Altuğ employs this formula to manipulate the regular elliptic part of…
Zeta Functions of Certain Quadratic Orders
Malors Espinosa
Langlands provides a formula for certain product of orbital integrals in . Its generalization has become an important question for the strategy of Beyond Endosco…
Spinorially twisted Spin structures, I: curvature identities and eigenvalue estimates
Malors Espinosa, Rafael Herrera
We define (higher rank) spinorially twisted spin structures and deduce various curvature identites as well as estimates for the eigenvalues of the corresponding twisted Dirac opera…