We review some recent developments in the study of biquandle brackets and other quantum enhancements.
The bridge distance and the topological index are measures of the complexity of the bridge splitting of a knot. In 2016, Johnson and Moriah gave a formula for the bridge distance of the canonical bridge sphere of a knot in a highly twisted plat projection in terms of the height and the width of the […]
Silica-based glasses are increasingly becoming vital components in our current technology, from optical data transmission lines, to electronics, to optical lenses, to smartphone screens. These materials are inherently brittle and subject to failure under shock, non-equilibrium stress states, or corrosive environments. Identifying new compositions and processing conditions that result in improved fracture resistance (i.e. a […]
Joan Ponce Purdue University Abstract: One of the main challenges of mathematical modeling is the balance between simplifying assumptions and incorporating sufficient complexity for the model to provide more accurate and reliable outcomes. For mathematical simplicity, many commonly used epidemiological models make restrictive modeling assumptions. Although models under such assumptions are capable of producing useful insights into […]
At the turn of the twentieth century, physicist Henri Bénard heated a shallow plate of fluid from below. For temperatures above a critical value, the fluid’s evenly heated state became unstable as thermal convection took hold; heated fluid rose in localized areas while cooler fluid fell nearby. The rising and falling fluid created hexagonal convection cells, […]
Domination in graphs has been an important and active topic in graph theory for over 40 years. It has immediate applications in visibility and controllability. In this talk we will discuss a generalization of domination called exponential domination. A vertex $v$ in an exponential dominating set assigns weight $2^{1−dist(v,u)}$ to vertex $u$. An exponential dominating […]
Probability is a now-classic tool in combinatorics, especially graph theory. Some applications of probabilistic techniques are: (1) describing the typical/expected properties of a class of objects, (2) uncovering phase transitions and sudden thresholds in the dependence of one property on another, and (3) producing examples of conjectured or unusual objects. (This last technique is sometimes […]
Shannons sampling theorem provides a link between the continuous and thediscrete realms stating that bandlimited signals are uniquely determined by itsvalues on a discrete set. This theorem is realized in practice using so called analog to digital converters (ADCs). Unlike Shannons sampling theorem, the ADCs are limited in dynamic range. Whenever a signal exceeds some […]
Probability is a now-classic tool in combinatorics, especially graph theory. Some applications of probabilistic techniques are: (1) describing the typical/expected properties of a class of objects, (2) uncovering phase transitions and sudden thresholds in the dependence of one property on another, and (3) producing examples of conjectured or unusual objects. (This last technique is sometimes […]
Abstract TBA
UNAIDS has proposed an ambitious strategy for ending the HIV pandemic. Their strategy depends upon achieving a treatment coverage goal of 90% by 2030. However, distance to healthcare and lack of transportation are major barriers to accessing HIV treatment in SSA. I will use data-based geospatial modeling to determine their potential impact as barriers to […]
The Pomona College Student AWM chapter warmly invites you to an event honoring Maryam Mirzakhani “Remember Maryam Mirzakhani” Curator, Thaís Jordão Designer, Rafael Meireles Barroso You are cordially invited to hear recollections of Maryam Mirzakhani Wednesday Dec. 4 5:30pm Argue Auditorium The memorial exhibit (commissioned by the International Mathematical Union’s Committee for Women in Mathematics) will […]
