OREGON STATE UNIVERSITY
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Emily Gemmill among winners of prestigious award for undergraduate research
The Society for Industrial and Applied Mathematics honors Professor Peszynska
OSU Math alum receives prestigious applied mathematics award
Math students maintain community in the digital world
Paths of persistence diagrams describe the temporally evolving topology of dynamic point cloud data sets. As with the case of static diagrams, such objects are difficult to work with in a machine learning setting, and a feature map is often required. We show that the path signature provides a reparametrization-invariant feature map which is both universal and characteristic, allowing us to study both functions and measures on the space of paths of persistence diagrams via kernel methods.
When most people think of medical imaging modalities such as CT, MRI, or ultrasound scans, they probably don't think about mathematicians being involved in the development of these important life-saving technologies. But in fact, the field of computational medical imaging is a highly active area of research in applied mathematics, and all medical imaging technologies are based on fascinating underlying mathematics.
We first introduce a circle of ideas relating the canonical height and the canonical adelic measure of a rational map. We then show that the dynamical height pairing can be realized as an inner product on a certain space of adelic measures.
This work uses numerical simulations of a two-tone thulium-doped optical fiber amplifier to predict various performance characteristics such as peak temperatures, expected output powers and efficiencies, presence of amplified spontaneous emission (ASE), and transverse mode instability (TMI) onset power thresholds.
We apply the framework of the Virtual Element Method (VEM) to a model in Magneto-HydroDynamics (MHD), that incorporates a coupling between electromagnetics and fluid flow, to construct novel discretizations for simulating realistic phenomenon in MHD. First, we study two chains of spaces approximating the electromagnetic and fluid flow components of the model. Then, we show that this VEM approximation will yield divergence free discrete magnetic fields that is an important property in any simulation in MHD.
The OSU Chapter of the national mathematics honor society Pi Mu Epsilon will host its annual induction ceremony and celebration (via Zoom) Monday May 17, beginning at 4pm. Professor Melody Alsaker will give an invited lecture on “Mathematics and the Future of Biomedical Imaging” beginning at 4:30pm immediately after the ceremony.
The College of Science has announced that the following faculty have received a promotion and/or tenure for the 2020-21 academic year.
Congratulations to each!