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November 2019
Recent developments biquandle brackets (Sam Nelson, CMC)
We review some recent developments in the study of biquandle brackets and other quantum enhancements.
Find out more »Topological index and square plat projections (Puttipong Pongtanapaisan)
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 plat. Essentially, if the plat is high, then the bridge distance is high and the topological index equals one. Not much is known about the…
Find out more »Silica-based glasses: Realizing process-structure-property connections through computational modeling
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 higher fracture toughness) is achievable through materials design approaches. However, discovery primarily remains an empirically determined procedure. Atomistic molecular dynamics can be a powerful tool…
Find out more »Applied Math Talk: Patterns deformed by spatial inhomogeneity give by Prof. Jasper Weinburd (HMC)
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, squares, and stripes. Suppose that we modify Bénard’s experiment by heating only the left half plate. We expect the fluid on the right to remain…
Find out more »December 2019
Dan Douglas (USC)
Abstract TBA
Find out more »Proudly Serving the Math Community at The Claremont Colleges Since 2007
