May

14

2021

In this talk, we present reduced order models (ROMs) for turbulent flows, which are constructed by using ideas from large eddy simulation (LES) and variational multiscale (VMS) methods. First, we give a general introduction to reduced order modeling and emphasize the connection to classical Galerkin methods (e.g., the finite element method) and the central role played by data. Then, we describe the closure problem, which represents one of the main obstacles in the development of ROMs for realistic, turbulent flows.

May

17

2021

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.

May

17

2021

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.

May

18

2021

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.

May

21

2021

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.

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.

- Dr. Ben Dalziel will be promoted to Associate Professor with tenure.
- Dr. Hoe Woon Kim will be promoted to Senior Instructor II.
- Dr. Nathan Gibson will be promoted to Professor.

Congratulations to each!