2022 Faculty and Student Summer Talks
Talks will be held at 2PM on Tuesdays (T) and Thursdays (R) in CULM 611. Please see more information below:
| Date | Day | Speaker, Title, and Abstract |
|---|---|---|
| June 2 | R |
David Mazowiecki Numerical Simulation of Particles Undergoing Quincke Rotation We outline a plan to solve an electrohydrodynamic problem, in which many dielectric spherical particles are immersed in a dielectric fluid at low Reynolds number and subjected to a uniform applied electric field. For the electrodynamic component of the problem, if the ratio of electric permittivity to conductivity in the particles is higher than that of the fluid, a sufficiently strong applied field can cause the particles to rotate. This is known as Quincke rotation. We employ boundary integral methods to solve the coupled electrodynamic and hydrodynamic problems for a system of many interacting particles. |
| June 16 | R |
Valeria Barra Nonlinear Paths: Career Perspectives with a PhD in Math In this talk, I am going to speak about my own academic and non-academic journey. I will take the audience with me across the different areas of research I have worked on: geometry and computational geometry, computational fluid dynamics, high-performance computing and most recently, climate science. If you are not sure you have it all figured it out, if you are curious about learning different topics, across various disciplines, if you are not worried about jumping into new projects, then this talk might speak to you. I will introduce the world of Research Software Engineering and share how I “accidentally” became a Research Software Engineer. We will try to answer some questions together that many graduate students may find themselves asking throughout their academic journeys: what are the transferable skills that I need to acquire in grad school? Are there good habits and best practices that I should pick up now to save myself time later? What types of career paths are ahead of me? How can I adjust to career changes? How can I overcome impostor syndrome? By sharing my own multi-disciplinary experiences, I hope I can give students multiple points of views and insights about different possible career perspectives and inspire them to carve their own unique path. |
| June 21 | T |
Connor Robertson Data-driven Continuum Modeling and Simulation of Active Nematics via Sparse Identification of Nonlinear Dynamics Data-driven modeling methods have recently shown great potential in determining accurate continuum models for complex systems directly from experimental measurements. One such complex system is the active nematic liquid crystal system consisting of microtubule-motor protein assemblies immersed in a fluid. Although several models have been proposed for the system, the governing equations remain under debate. In this talk, I will present the process for extracting a continuum model directly from experimental image data via the "sparse identification of nonlinear dynamics" (SINDy) data-driven modeling technique. This will include methods for data extraction, symbolic generation of plausible terms, numerical differentiation of extracted data, and sparse regression. I will also discuss the physical implications of the learned model as compared to previously proposed models and show simulation results of the discovered model using a pseudospectral method.
Lauren Barnes Modeling Phase Separation of Colloid-Polymer Mixtures in Microgravity Colloidal particles are of great interest in industrial applications involving materials engineering, pharmaceutics, and electronics. Much of their value lies in their phase transition behavior, which exhibits striking similarities to phase transitions of systems on a molecular and even atomic scale and thus provides insight into systems that are otherwise difficult to observe. The growth of such colloidal crystals is often studied in a microgravity environment in order to minimize the effect of gravity on the system. For this reason, experiments on phase transitions of colloid-polymer mixtures have been performed by NASA onboard the ISS. We present a theoretical model to describe the phase transition behavior of a colloid-polymer mixture in microgravity, along with some preliminary simulation results. |
| June 23 | R |
Souaad Lazergui High Frequency Asymptotic Expansion of the Helmholtz Equation Solutions Using Neumann to Dirichlet and Robin to Dirichlet Operators This talk is concerned with the asymptotic expansions of the amplitude of the high-frequency scattering problem solution in the exterior of two-dimensional smooth convex scatterers. The original expansion was obtained by using a pseudo-differential decomposition of the Dirichlet to Neumann operator and a microlocal model of the Kirchhoff operator. In this work, we use Neumann to Dirichlet operator to derive the asymptotic expansion of the Kirchhoff amplitude over the scatterer boundary. Similarly to the Robin to Dirichlet operator, we seek the same ansatz for Robin boundary condition. we strongly believe that the resulting expansions can be used to appropriately choose the ansatz in the design of high-frequency numerical solvers, such as those based on integral equations, in order to produce more accurate high-frequency asymptotic numerical solution of the Helmholtz equation.
Nicholas Dubicki A Micromagnetic Study of Skyrmions in Thin Film Ferromagnetic Bilayers The dissertation will present a modeling, analytical, and computational study of magnetic skyrmions and then treat, in detail, the problem of skyrmions in two thin parallel ferromagnetic layers. Magnetic skyrmions are topologically protected, localized, nanoscale spin textures in thin ferromagnetic materials. At present they are of great interest to applied researchers due to their potential applications to information technology. We treat the bilayer system analytically using a thin-film approximation and an ansatz-based minimization of the energy, and aim to identify the stable states as they depend on material properties. There are two interesting types of behavior whereby skyrmions may form bound pairs or else repel/annihilate each other. Of particular interest is an apparent bifurcation between two types of stable states where the skyrmion in each layer is perfectly concentric with its counterpart, and states where they form off center pairings. |
| June 28 | T |
Samantha Evans Title and Abstract: TBA |
| June 30 | R |
Yuexin Liu Title and Abstract: TBA |
| July 5 | T |
Jake Brusca Title and Abstract: TBA
Soheil Saghafi Title and Abstract: TBA |
| July 7 | R |
Diego Rios Title and Abstract: TBA |
| July 12 | T |
Professor Amit Bose Title and Abstract: TBA |
| July 14 | R |
Mark Fasano Title and Abstract: TBA
Joseph D'Addesa Title and Abstract: TBA |
| July 19 | T |
Rituparna Basak Title and Abstract: TBA
Binan Gu Title and Abstract: TBA |
| July 21 | R |
Zheng Zhang Title and Abstract: TBA
Prianka Bose Title and Abstract: TBA |
| July 26 | T |
Matt Illingworth Title and Abstract: TBA |
| July 28 | R |
Atul Anurag Title and Abstract: TBA |
Updated: June 22, 2022