## Seminars

## Applied Mathematics Colloquium - Nalini Joshi

Oct. 29, 2021

Nalini Joshi, Department of Applied Mathematics, The University of Sydney, New South Wales, Australia Motion and monodromy Newton was inspired by Kepler’s laws of planetary motion to study motion on curves. This led him immediately to transcendental functions, that is, functions that cannot arise as solutions of polynomial equations. A...

## Nonlinear Waves Seminar - Amir Sagiv

Oct. 26, 2021

Amir Sagiv, Department of Applied Mathematics, Columbia University Floquet Hamiltonians - effective gaps and resonant decay Floquet topological insulators are an emerging category of materials whose properties are transformed by time-periodic forcing. Can their properties be understood from their first-principles continuum models, i.e., from a driven Schrodinger equation? First, we...

## Mathematical Biology Seminar - Subekshya Bidari

Oct. 25, 2021

Subekshya Bidari, Department of Applied Mathematics, University of Colorado Boulder Evidence accumulation models of social foraging Foraging is often modeled as a sequence of patch-leaving decisions. The distribution of food in the environment is idealized as being contained in discrete patches (e.g., trees), and animals must decide when to depart...

## Applied Mathematics Colloquium - Lisa Fauci

Oct. 22, 2021

Lisa Fauci, Department of Mathematics, Tulane University Buckling, mixing, swimming, dissolving: adventures with helices at the microscale. The motion of passive or actuated elastic filaments in a fluid environment is a common element in many biological and engineered systems. Examples at the microscale include bacterial flagella propelling a cell body...

## Statistics, Optimization, and Machine Learning Seminar - Gongguo Tang

Oct. 19, 2021

Gongguo Tang; Department of Electrical, Computer, and Energy Engineering; University of Colorado Boulder Geometry and algorithm for some nonconvex optimizations Great progress has been made in the past few years in our understanding of nonconvex optimizations. In this talk, I will share with you three of our works in this...

## Nonlinear Waves Seminar - Igor Rumanov

Oct. 19, 2021

Igor Rumanov, Department of Applied Mathematics, University of Colorado Boulder (2+1)-dimensional Whitham systems: 2dNLS and KP vs. ‘hydrodynamic’ systems in one and two spatial dimensions The main result of this talk is the recently obtained Whitham modulation system for the (2+1)-dimensional nonlinear Schroedinger equation (2dNLS) (joint work with M. J...

## Mathematical Biology Seminar - Anthony Kearsley

Oct. 18, 2021

Anthony Kearsley, Mathematical Analysis and Modeling Group, National Institute of Standards and Technology (NIST) Control of inward solidification in Cryobiology For many years, mathematical models that predict a cell’s response to encroaching ice has played an important role in developing cryopreservation protocols. It is clear that information about the cellular...

## Statistics, Optimization, and Machine Learning Seminar - Samy Wu Fung

Oct. 12, 2021

Samy Wu Fung, Department of Applied Mathematics and Statistics, Colorado School of Mines Efficient Training of Infinite-depth Neural Networks via Jacobian-free Backpropagation A promising trend in deep learning replaces fixed depth models by approximations of the limit as network depth approaches infinity. This approach uses a portion of network weights...

## Nonlinear Waves Seminar - Samuel Ryskamp

Oct. 12, 2021

Samuel Ryskamp, Department of Applied Mathematics, University of Colorado Boulder Modulation theory for Miles resonance and Mach reflection Mach reflection occurs when a sufficiently large amplitude line soliton interacts with a barrier at a sufficiently small angle. A Y-shaped resonant triad is then formed consisting of two smaller amplitude solitons...

## Mathematical Biology Seminar - Erin Ellefsen and Lyndsey Wong

Oct. 11, 2021

Erin Ellefsen and Lindsey Wong, Department of Applied Mathematics, University of Colorado Boulder Lyndsey’s Title: Mathematical Models of Wealth Distribution Through an Amenities-Based Theory Erin’s Title: Efficiently finding Equilibrium Solutions of Nonlocal Models in Ecology Lyndsey’s Abstract: The dynamics of wealth are not fully understood. In order to gain insight...