## Seminars

## Applied Mathematics Colloquium - Alex Townsend

April 1, 2022

Alex Townsend, Department of Mathematics, Cornell University The art and science of low-rank techniques Matrices and tensors that appear in computational mathematics are so often well-approximated by low-rank objects. Since random ("average") matrices are almost surely of full rank, mathematics needs to explain the abundance of low-rank structures. We will...

## Applied Mathematics Colloquium - Habib Ammari

March 18, 2022

Habib Ammari, Department of Mathematics, Eidgenössische Technische Hochschule Zürich, Switzerland Functional analytic methods for discrete approximations of subwavelength resonator systems In this lecture, the speaker will review mathematical and computational frameworks to elucidate physical mechanisms for manipulating waves in a robust way at scales beyond the diffraction limit using subwavelength...

## Applied Mathematics Colloquium - Bard Ermentrout

March 4, 2022

Bard Ermentrout, Department of Mathematics, University of Pittsburgh Phase in Space: Spatiotemporal dynamics of nonlocally coupled oscillators The ability of neuroscientists to record large regions of the brain at high temporal resolution has demonstrated that neuronal oscillations are not synchronized, but rather, organized into spatio-temporal patterns such as plane- and...

## Applied Mathematics Colloquium - Lexing Ying

Feb. 25, 2022

Lexing Ying, Department of Mathematics, Stanford University Prony's method, analytic continuation, and quantum signal processing Prony's method is a powerful algorithm for identifying frequencies and amplitudes from equally spaced signals. It is probably not as well-known as it should have been. In the first part of the talk, we will...

## Applied Mathematics Colloquium - Nathan Kutz

Feb. 18, 2022

Nathan Kutz, Department of Applied Mathematics, University of Washington The Future of Governing Equations Machine learning and AI algorithms are transforming a diverse number of fields in science and engineering. This is largely due their success in model discovery which turns data into reduced order models and neural network representations...

## Applied Mathematics Colloquium - Bryan Quaife

Feb. 11, 2022

Bryan Quaife, Department of Scientific Computing, Florida State University The Role of Permeability in Biomembranes Biomembranes permeate small molecules into a cell while not allowing large molecules to pass through. Even in the absence of osmolarity, a biomembrane can exchange large amounts of fluid if enough mechanical force is applied...

## Applied Mathematics Colloquium - Enkeleida Lushi

Jan. 28, 2022

Enkeleida Lushi, Department of Mathematics, New Jersey Institute of Technology (NJIT) Models and simulations of micro-swimmer motion in complex confinement Many micro-swimmers (e.g.bacteria, algae, spermatozoa, active colloids) live and move in liquids contained in spaces with non-trivial geometry and boundaries. Examples include porous media, liquids containing impurities and obstacles, as...

## Applied Mathematics Colloquium - Carlos Perez Arancibia

Jan. 21, 2022

Carlos Perez Arancibia, Department of Applied Mathematics, University of Twente, The Netherlands Density Interpolation Methods for Boundary Integral Equations Boundary integral equation (BIE) methods are powerful techniques to solve linear partial differential equations (PDEs) having a known fundamental solution. They can easily handle unbounded domains and radiation conditions at infinity,...

## Applied Mathematics Colloquium - Leonid Berlyand

Dec. 3, 2021

Leonid Berlyand, Department of Mathematics, Penn State University Asymptotic Stability in a free boundary model of cell motion We introduce a free boundary model of the onset of motion of a living cell (e.g. a keratocyte) driven by myosin contraction, with focus on a transition from unstable radial stationary states...

## Applied Mathematics Colloquium - Larry Abbott

Nov. 19, 2021

Larry Abbott, Mortimer B. Zuckerman Mind Brain Behavior Institute, Columbia University How flies do vector computations Many tasks, especially those associated with movement and navigation, require the manipulation of vectors. I will describe collaborative work with Gaby Maimon and Cheng Lyu explaining how the Drosophila brain performs vector computations. Specifically,...