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Fairest edge usage in spanning treesThis talk will explore several interesting and interrelated optimization problems involving the spanning trees of a graph.  Each problem will be connected to a single fundamental question: How should we

On the dynamics of coupled Morris-Lecar NeuronsIn recent years, the study of computational neuronal dynamics has made remarkable progress has been made by on the nonlinear study of artificial neural networks. This approach relies on using models of

Designing frustration and topologically constrained disorder in artificial spin iceWe are all familiar with classical states of matter as ordered or disordered; and yet some of the most relevant phenomena in nature, from the nano-machinery of life

A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions Reduced-order modeling (ROM) commonly refers to the construction, based on a few solutions (referred to as snapshots) of an expensive discretized partial differential

Improving the accuracy of the trapezoidal ruleThe trapezoidal rule uses function values at equispaced nodes. It is very accurate for integrals over periodic intervals, but is usually quite inaccurate in non-periodic cases. Commonly used improvements

Dan Massey, Interdisciplinary Telecom Program, Â鶹ӰԺCybersecurity Rule 6: Use Cryptography CorrectlyThis talk explores some of the key mathematical concepts used in cybersecurity.  Cryptography is one obvious example

Peter F. Craigmile, Department of Statistics, The Ohio State UniversityEnhancing statistical inference for stochastic processes using modern statistical methods(This is joint research with Radu Herbei, Matthew Pratola, Huong Nguyen, and Grant

Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Transport EquationsIn this talk, we present sparse grid discontinuous Galerkin (DG) schemes for solving high-dimensional PDEs. We will discuss the construction of the scheme based on

3D radar wavefield imaging of comet interiorsThe Rosetta mission to comet 67P/C-G revolutionized comet science, but left major questions on the table. Are cometary nuclei primordial or are they collisionally-evolved as predicted by modern theories

How to Gamble or Invest If You Must: A Large Deviations Approach  The Kelly Criterion (a.k.a. expected log utility maximization) is a well-known criterion function used to select optimal repeated gambles or long-term portfolio investments