OREGON STATE UNIVERSITY
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Oregon Beta chapter honors 33 inductees with ceremony
Jennifer Smucker leaves behind the combine to pave a path
Alumnus Peter Banwarth develops models to help guide Benton County's Covid response
Emily Gemmill among winners of prestigious award for undergraduate research
The Society for Industrial and Applied Mathematics honors Professor Peszynska
I will follow up on my related colloquium talk, where I will introduce the basic questions and topics on Stanton's conjectures for ranks and cranks and new modular forms techniques for producing infinite families of crank-type functions "explaining" modular forms. There will be an emphasis on examples and context within modular forms, Jacobi forms, and the connections with sum=product formulas in combinatorics which arise from Lie theory. I will also go into more details of the proofs and further applications than in the colloquium.
The Vortex Filament Equation (VFE) (also known as Localized Induction Approximation) is the simplest model of self-induced dynamics of a vortex filament in an ideal fluid, and an important example of integrable geometric flow. Its connection with the cubic focusing Nonlinear Schrödinger Equation through the Hasimoto transformation allows the use of tools from soliton theory to construct large classes of solutions.
In the first part of this talk, I will showcase how persistent homology can be used to spatially characterise structural abnormality in tumour blood vessel networks. More specifically, I will show that the number of vessel loops and their distribution in these networks change over time when tumours undergo treatment with vascular targeting agents and radiation therapy. In the second part of the talk, I will speak about applications of local persistent homology. I will show how local persistent homology can be used to select landmarks from large and noisy data sets.
The Model for Prediction Across Scales-Ocean (MPAS-O) is an ocean model built on an unstructured mesh framework that allows for variable spatial resolution. A major hindrance of running MPAS-O efficiently when using traditional time-stepping schemes is that the largest time-step that can be selected is bounded above in terms of the size of the smallest cell on the mesh due to the CFL condition. To address this problem, Hoang et al. developed local time-stepping (LTS) schemes that allow for the selection of different sized time-steps depending on the local resolution of the mesh.
The National Science Foundation has selected Elise Lockwood to serve as a rotating program director within the Education and Human Resources (EHR) Directorate, a position she started in August 2021. Within EHR, Lockwood works primarily with programs in the Division of Undergraduate Education (DUE), and she also works on several cross-divisional programs. DUE's programs are intended to strengthen STEM education at colleges and universities by improving curricula, instruction, laboratories, infrastructure, assessment, diversity of students and faculty, and collaborations. Lockwood will facilitate the review of national research proposals and make crucial...