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On the effects of swimming in an active suspension

We explore the effects of swimming in a kinetic model of active rodlike particles in Stokes flow. The stability of the uniform, isotropic steady state depends on the swimming mechanism — pullers (front-actuated) vs. pushers (rear-actuated) — as well as a parameter encompassing the ratio of swimming speed to active stress magnitude and particle [Read More...]

Presenter: Laurel Ohm, Princeton University
Symposium Year: 2022
Session: New EDGE (Enhancing Diversity in Graduate Education) PhDs Special Session: Pure and Applied talks by Women Math Warriors
Presentation Time: June 17, 2022; 10:15 am

Ordinary Modular Deformation Problems

Given a newform $f$ and choice of a prime $p$, Deligne and Serre constructed a semisimple two-dimensional residual (mod $p$) Galois representation associated to $f.$ It is profitable to study equivalence classes of lifts of this Galois representation to $\Bbb{GL}_2(A)$ for certain rings $A,$ which can be done using the deformation theory of Galois [Read More...]

Presenter: Tori Day, Mount Holyoke College
Symposium Year: 2022
Session: New EDGE (Enhancing Diversity in Graduate Education) PhDs Special Session: Pure and Applied talks by Women Math Warriors
Presentation Time: June 17, 2022; 10:40 am

Operator Algebras from Graphs and Categories of Paths

Let $G$ be a directed graph. The set of all paths in $G$ forms a semigroupoid under concatenation, and the left regular representation of this semigroupoid gives a family of partial isometries that generate an operator algebra called a free semigroupoid algebra. In this talk, I will outline this construction and discuss how it can be applied to categories of [Read More...]

Presenter: Juliana Bukoski, Georgetown College
Symposium Year: 2022
Session: New EDGE (Enhancing Diversity in Graduate Education) PhDs Special Session: Pure and Applied talks by Women Math Warriors
Presentation Time: June 17, 2022; 11:05 am

The Secret Sauce to Building a Quantum Computer

We give a gentle overview of how quantum computing works. We discuss the concept of entanglement - a purely quantum phenomena. Interestingly enough, very entangled states can be simulated on a classical computer. This is due to the Gottesman-Knill theorem, which states that circuits consisting of the Clifford group can be perfectly simulated on a classical [Read More...]

Presenter: Sarah Chehade, Oak Ridge National Lab
Authors: Sarah Chehade
Symposium Year: 2022
Session: New EDGE (Enhancing Diversity in Graduate Education) PhDs Special Session: Pure and Applied talks by Women Math Warriors
Presentation Time: June 17, 2022; 11:30 am

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