Murray and Adylin Rosenblatt Endowed Lecture Series in Applied Mathematics, 2020
Wednesday, February 26, 2020, 4-6.45 p.m.
Kavli Auditorium, Tata Hall, UC San Diego.

Professor Andrea Bertozzi
Departments of Mathematics and Mechanical and Aerospace Engineering
Betsy Wood Knapp Chair for Innovation and Creativity
University of California, Los Angeles

Wednesday, February 26, 2020, 4-5 p.m.

A Theory for Undercompressive Shocks in Tears of Wine

ABSTRACT: We revisit the tears of wine problem for thin films in water-ethanol mixtures and present a new model for the climbing dynamics. The new formulation includes a Marangoni stress balanced by both the normal and tangential components of gravity as well as surface tension which lead to distinctly different behavior. The combined physics can be modeled mathematically by a scalar conservation law with a nonconvex flux and a fourth order regularization due to the bulk surface tension. Without the fourth order term, shock solutions must sastify an entropy condition - in which characteristics impinge on the shock from both sides. However, in the case of a nonconvex flux, the fourth order term is a singular perturbation that allows for the possibility of undercompressive shocks in which characteristics travel through the shock. We present computational and experimental evidence that such shocks can happen in the tears of wine problem, with a protocol for how to observe this in a real life setting.

Professor Bonnie Berger
Simons Professor of Mathematics, MIT
Departments of Electrical Engineering and Computer Science, MIT
Head of Computation and Biology group at CSAIL MIT

Wednesday, February 26, 2020: 5-6 p.m.

Compressive Genomics: Leveraging the Geometry of Biological Data

ABSTRACT: Researchers around the globe are gathering biomedical information at a massive scale. We develop algorithms to compress this data that enable computation on the reduced representation. In this talk, I will discuss how we can leverage the low-dimensional true structure of biological data manifolds in order to build useable compact geometric summaries of this data. I will highlight our latest work on single-cell transcriptomic datasets, that enables an unprecedented scale of data to be effectively pooled from individuals and institutions across nations to enable novel life-saving discoveries.

Refreshments will be served following the talks.

To attend one or both of the lectures, registration is required. Registration is free and is open to researchers who have an interest in the topic of one or both of the lectures and are affiliated with Universities or industrial or government institutions. This includes current postdocs and graduate students. To register to attend one or both lectures, please click here and complete the simple web registration form.

In 2016, the Mathematics Department at UC San Diego launched the Murray and Adylin Rosenblatt Endowed Lecture Series in Applied Mathematics. The aim of the series is to highlight mathematics and statistics in areas of application. The series features high profile scholars in a range of fields. Each year the series will feature 2-3 speakers delivering lectures in their areas of research, accessible to a fairly broad audience including faculty and graduate students from mathematics and statistics, science, engineering, and economics. For information about preceding lectures, see the links below.
  • Inaugural lectures, 2016: Robert Engle and Catherine Constable.
  • 2017-2018 Lectures: Tamar Schlick and David Donoho.
  • 2019 Lectures: Ingrid Daubechies and Simon Tavare.
    The series is named to honor the memory of Professor Murray Rosenblatt and his wife Adylin Rosenblatt.
    The lectures are sponsored by the UC San Diego Mathematics Department and the Office of the Dean of Physical Sciences at UC San Diego.

    Tata Hall is shown on the google map link here. Those without a UCSD parking permit will need to pay for parking at a parking paystation. For more information on parking, click here.
    Questions can be directed to lafoley at ucsd dot edu.