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October 2020

Applied Mathematics Colloquium – Dr. Natalie Stanley, Stanford University

October 16, 2020 @ 4:00 pm - 5:00 pm

Dr. Natalie Stanley, Postdoctoral Fellow in Aghaeepour Lab Stanford University https://nalab.stanford.edu/team/natalie-stanley/ Title: Leveraging Cellular Heterogeneity for Predictive Modeling of Single-Cell Data Abstract: Advancements in single-cell technologies enable the profiling of gene and protein expression at a single-cell level. These technologies are being increasingly applied in clinical settings, and often result in measurements from millions of cells within a patient cohort. In this talk, I will describe `VoPo`, an algorithm that we recently developed (https://www.nature.com/articles/s41467-020-17569-8) for automated cell-population discovery, feature engineering, comprehensive visualization, and…

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Applied Mathematics Colloquium – Zeliha Kilic, Department of Physics, Arizona State University

October 23, 2020 @ 4:00 pm - 5:00 pm

Dr. Zeliha Kilic, Postdoctoral Research Associate in Pressé Lab Department of Physics, Arizona State University http://zkilic.wixsite.com/zelihakilic  Talk taking place over Zoom. Title: BAYESIAN APPROACHES to DATA INTERPRETATION IN APPLIED PHYSICAL SCIENCES Abstract: Fluorescence experiments based on Förster resonance energy transfer (FRET) present a powerful way to probe switching kinetics between the conformational states of  a molecule. The acquired data from these experiments generated by a single molecule are traditionally interpreted with hidden Markov models (HMMs). The underlying modeling assumptions for HMM…

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Applied Mathematics Colloquium – Jennifer Crodelle, Middlebury College

October 30, 2020 @ 4:00 pm - 5:00 pm

Title: A simple mathematical model of synapse formation in the developing visual cortex of mice Abstract: The mammalian primary visual cortex (V1) contains neurons that respond preferentially to oriented visual stimuli (e.g., horizontal bars). In the mouse, these orientation-preferring neurons are scattered throughout V1 in what’s called a “salt and pepper” orientation-preference (OP) map. Despite the seemingly random distribution of OPs in the visual cortex of mice, it has been shown that cells sharing orientation preference are preferentially connected via…

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November 2020

Applied Mathematics Colloquium – Silke Henkes, School of Mathematics, University of Bristol

November 6, 2020 @ 9:15 am - 10:30 am

Date: Friday, November 6th, 2020 Time: 9:15 am Title and abstract: Rigidity percolation and frictional jamming In jamming of frictional granular particles, rigidity emerges over a range of mean contact numbers and densities, unlike in frictionless jamming where Maxwell constraint counting determines the isostatic point. I will introduce the (3,3) frictional pebble game and frictional rigidity percolation for frictional jamming. For simulated and experimental packings, we find a second-order rigidity transition where rigid and floppy regions coexist. The experimental location…

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March 2021

Hongkai Zhao, Duke University – Applied Mathematics Seminar

March 5 @ 4:00 pm - 5:00 pm

Hongkai Zhao, Duke University Title: Model Complexity And Its Implications To Forward and Inverse Problems Abstract: In this talk I will present different ways to study model complexity for partial dierential equation (PDE) based forward and inverse problems. We show how this understanding can help to develop fast algorithms, explore underlying low dimensional structures, and analyze (in)stability of the underlying problem.

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Dr. Bernat Font Garcia – Applied Mathematics Colloquium

March 26 @ 4:00 pm - 5:00 pm

Speaker: Dr. Bernat Font Garcia Position: Postdoctoral researcher at the Barcelona Supercomputing Center (BSC-CNS), formerly at University of Southampton (UK) Title: A ML model to simulate 3D turbulence in a 2D system applied to long cylindrical structures Abstract: Turbulence is a non-linear phenomenon in fluids involving a wide range of complex temporal and spatial structures. This often makes the resolution requirements of numerical simulations very high, yielding costly and time-consuming computations. Turbulence models are used to skip resolving a certain…

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April 2021

Pablo Seleson – Applied Mathematics Seminar

April 16 @ 4:00 pm - 5:00 pm

Pablo Seleson, Computational and Applied Mathematics Group at Oak Ridge National Laboratory (ORNL) Title: Peridynamics: A Framework for Fracture, Multiscale, and Complex Materials Modeling Abstract: Fracture prediction as well as computational modeling of mutiscale and other complex materials behavior are ongoing challenges in materials science and computational science and engineering. Peridynamics offers a new framework to overcome these challenges through governing equations that naturally represent material discontinuities, introduce length scales, and allow for general constitutive relations. Peridynamics is a nonlocal…

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Ron DeVore – Joint Mathematics and Applied Mathematics Colloquium

April 22 @ 4:00 pm - 5:00 pm

Speaker: Ron DeVore Date: Thursday, April 22, Joint Mathematics and Applied Mathematics Colloquium Title: Deep Learning and Neural Networks Abstract:  Deep Learning has achieved much publicized empirical success.  But there remains no rigorous proof that DL works, when it works, why it works.  This talk will give the mathematical view of deep learning and try to understand this gap between theory and practice.

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Nick Moore, US Naval Academy – Applied Mathematics Seminar

April 30 @ 4:00 pm - 5:00 pm

Nick Moore, US Naval Academy Title: Anomalous waves induced by abrupt depth change: laboratory experiments and KdV statistical mechanics Abstract: I will discuss both laboratory experiments and a newly developed theory to describe randomized surface waves propagating over variable bathymetry. The experiments show that an abrupt depth change can qualitatively alter wave statistics, transforming an initially Gaussian wave field into a highly skewed one. In our experiments, the probability of a rogue wave can increase by a factor of 50…

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November 2021

Greg Forest, UNC-Chapel Hill – Joint Mathematics-Applied Mathematics Colloquium

November 11 @ 4:00 pm - 5:00 pm

UNC Mathematics-Applied Mathematics Joint Colloquium Speaker: Greg Forest, UNC Chapel Hill Time: 4pm Mode: In-person - Phillips Hall 332 tea-time in Phillips Hall 330 at 3:30 pm Title: Modeling insights into SARS-CoV-2 respiratory tract infections Abstract: I and many collaborators, postdocs, and students from many disciplines have explored lung mechanics and disease pathology for over 2 decades in a pan-university effort called the UNC Virtual Lung Project. In the last decade with the Sam Lai lab we have explored how…

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