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May 2018

Women in Mathematics of Materials (WIMM) Workshop

May 14 - May 18
University of Michigan, East Hall
Ann Arbor, 48109 United States
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Materials Science is an interdisciplinary field that focuses on the discovery and design of new materials. Mathematics plays a fundamental role when developing models that describe the processing, structure, and properties of materials. This is a domain that encompasses many fields that include Continuum Mechanics, Partial Differential Equations, Computational Solid Mechanics , etc. These areas have evolved synergistically over the centuries, one field informing the other and together creating a solid foundation for resolving important issues in elasticity of materials,…

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April 2018

Kevin Hannay: TBA

April 13 @ 3:00 pm - 4:00 pm
1084 East Hall

Schreiner University

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Alexander Ziwet Lectures presents: Gunther Uhlmann

April 10 @ 4:10 pm - 5:00 pm
1360 East Hall

Gunther Uhlmann, Walker Family Endowed Professor of Mathematics, University of Washington Colloquium. Harry Potter's Cloak via Transformation Optics, Room 1360 East Hall @ 5:00 PM Abstract: Can we make objects invisible? This has been a subject of human fascination for millennia in Greek mythology, movies, science fiction, etc. including the legend of Perseus versus Medusa and the more recent Star Trek and Harry Potter. In the last decade or so there have been several scientific proposals to achieve invisibility. We…

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Christoph Borgers: Rhythms in neuronal networks with recurrent excitation

April 6 @ 3:00 pm - 4:00 pm
1084 East Hall

Interacting excitatory and inhibitory neuronal populations often generate oscillations in electrical fields in the brain. I will briefly review this mechanism and the reasons to believe that it is important in brain function. Most of the talk will be focused on the effects of recurrent excitation, i.e., of the neurons of a local network in the brain exciting each other. Recurrent excitation can sustain activity in a network that would otherwise be quiescent; this is believed to be the basis…

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March 2018

Joseph Paulsen: Better living through frustration or: Shaping liquid surfaces with thin elastic sheets

March 30 @ 3:00 pm - 4:00 pm
1084 East Hall

Gauss's Theorema Egregium is the source of many annoyances: flat bandages don't stick as well to curved knuckles or elbows, maps of the earth exaggerate areas near the poles, and automotive metal must be pounded to make a doubly-curved fender. We are investigating such "geometric frustration" in a class of extremely bendable materials that are nonetheless hard to stretch. I will discuss recent experiments in three settings, where we wrap, poke, and squeeze ultrathin polymer films on liquid surfaces. Surprisingly,…

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Andrei Martinez-Finkelshtein: Math is in the eye of the beholder

March 23 @ 3:00 pm - 4:00 pm
1084 East Hall

Medical imaging benefits from advances in constructive approximation, orthogonal polynomials, Fourier and numerical analysis, statistics and other branches of mathematics. At the same time, the needs of medical diagnostic technology pose new mathematical challenges. This talk surveys a few problems, some of them related to approximation theory, that have appeared in my collaboration with specialists studying some pathologies of the human eye, in particular, of the cornea, such as: - reconstruction of the shape of the cornea from the data…

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Michael Shelley: Modeling and simulating active mechanics in the cell

March 9 @ 3:00 pm - 4:00 pm
1084 East Hall

Many fundamental phenomena in eukaryotic cells - nuclear migration, spindle positioning, chromosome segregation - involve the interaction of (often transitory) cellular structures with boundaries and fluids. Understanding the consequences of these interactions require specialized numerical methods for their large-scale simulation, as well as mathematical modeling and analysis. In this context, I will discuss the recent interactions of mathematical modeling and large-scale, detailed simulations with experimental measurements of activity-driven biomechanical processes within the cell. New York University/Flatiron Institute

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February 2018

Eric Keaveny: Linking the micro- and macro-scales in populations of swimming cells

February 23 @ 3:00 pm - 4:00 pm
1084 East Hall

Swimming cells and microorganisms are as diverse in their collective dynamics as they are in their individual shapes and swimming mechanisms. They are able to propel themselves through simple viscous fluids, as well as through more complex environments where they must interact with other microscopic structures. In this talk, I will describe recent simulations that explore the connection between dynamics at the scale of the cell with that of the population in the case where the cells are sperm. In…

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Thomas Bothner: The Ising model from 1920 to 2017

February 16 @ 3:00 pm - 4:00 pm
1084 East Hall

Of all the systems in statistical mechanics on which exact calculations have been performed, the two-dimensional Ising model is not only the most thoroughly investigated; it is also the richest and most profound." These are the opening lines in Barry McCoy's and Tai Tsun Wu's classical 1973 monograph and since then several new features of the model have been discovered. In this (semi)-review lecture we will first familiarize ourselves with a few classical aspects of the model: the one-dimensional version,…

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Phil Roe: A new approach to numerical conservation laws

February 9 @ 3:00 pm - 4:00 pm

The numerical solution of hyperbolic conservation laws, either by Finite Volume or Finite Element  methods, rests largely on representing the solution by smooth basis functions within each element, leaving discontinuities at the boundaries. The discontinuities are resolved by solving one-dimensional Riemann problems. The basic idea was introduced by Godunov in 1959, and since then has been accepted as a natural, almost inevitable, approach. In this talk, the representations will be continuous and no Riemann problems will be solved. The emphasis…

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