output
20122023
most citedFree extensions and Lefschetz properties, with an application to rings of relative coinvariants

6 citations

6 papers

eess.SP2023

PWB Manufacturing Variability Effects on High Speed SerDes Links: Statistical Insights from Thousands of 4-Port SParameter Measurements

Bart O. McCoy, Robert W. Techentin, Benjamin R. Buhrow +4

Variability analysis is important in successfully deploying multi-gigabit backplane printed wiring boards (PWBs) with growing numbers of high-speed SerDes links. We discuss the nee…

quant-ph2022★ 3 cited

Physical Computing: A Category Theoretic Perspective on Physical Computation and System Compositionality

Nima Dehghani, Gianluca Caterina

This paper introduces a category theory-based framework to redefine physical computing in light of advancements in quantum computing and non-standard computing systems. By integrat…

math.AC2018★ 6 cited

Free extensions and Lefschetz properties, with an application to rings of relative coinvariants

Chris McDaniel, Shujian Chen, Anthony Iarrobino +1

Graded Artinian algebras can be regarded as algebraic analogues of cohomology rings (in even degrees) of compact topological manifolds. In this analogy, a free extension of a base…

math.AC2018

Artinian Gorenstein algebras that are free extensions over , and Macaulay duality

Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel

T. Harima and J. Watanabe studied the Lefschetz properties of free extension Artinian algebras over a base with fibre . The free extensions are deformations of the usual…

math.AC2018

Artinian algebras and Jordan type

Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel

The Jordan type of an element of the maximal ideal of an Artinian k-algebra A acting on an A-module M of k-dimension n, is the partition of n given by the Jordan block decom…

math.CO2012

Generalized 1-skeleta and a lifting result

Chris McDaniel

In their paper "1-skeleta, Betti numbers, and equivariant cohomology" Guillemin and Zara described some beautiful constructions enabling them to use Morse theory on a certain class…