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September 2019

Data-driven multiscale modeling of cell fate dynamics

September 18 @ 4:15 pm - 5:15 pm
Argue Auditorium, Pomona College, 610 N. College Ave.
Claremont, CA 91711 United States
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Free

Cells make fate decisions in response to dynamic environmental and pathological stimuli as well as cell-to-cell communications. Recent technological breakthroughs have enabled to gather data in previously unthinkable quantities at single cell level, starting to suggest that cell fate decision is much more complex, dynamic, and stochastic than previously recognized. Multiscale interactions, sometimes through cell-cell communications, play a critical role in cell decision making. Dissecting cellular dynamics emerging from molecular and genomic scale in single-cell demands novel computational tools and…

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Adinkras: Snapshots of Supersymmetry (Jordan Kostiuk, Brown University)

September 24 @ 12:15 pm - 1:10 pm
Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave.
Claremont, California 91711
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An “Adinkra” is a graphical tool to describe a branch of particle physics known as supersymmetry. Understanding the mathematics of Adinkras shines a light on the underlying physics, as well as helps to explore new areas of mathematics. After describing the basic structure of Adinkras, I will discuss some of these interesting interactions between mathematics and physics.This talk is intended for a general mathematics audience; undergraduate students are welcome.

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Lior Pachter

September 25 @ 4:15 pm - 5:15 pm
Argue Auditorium, Pomona College, 610 N. College Ave.
Claremont, CA 91711 United States
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Regime transitions of liquid films flowing down a fiber (Applied Math Talk given by Prof. Claudia Falcon, UCLA)

September 30 @ 4:15 pm - 5:15 pm
Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave.
Claremont, California 91711
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Recent  experiments  of  thin  films  flowing  down  a  vertical  fiber  with  varying  nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. Determining  the  regime  transitions from absolute (Rayleigh- Plateau) instability is useful in the  design  of  heat  and  mass  exchangers for applications that include cooling systems and desalination. We present a detailed analysis using a full lubrication model that includes slip boundary conditions, nonlinear curvature terms, and a film stabilization term. This study brings to focus…

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October 2019

ANTC Seminar (Zajj Daugherty, CUNY)

October 1 @ 12:15 pm - 1:10 pm
Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave.
Claremont, California 91711
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Topology Seminar: Jesse Levitt (USC)

October 1 @ 3:00 pm - 4:00 pm
Millikan 2099, Pomona College, 610 N. College Ave.
Claremont, CA 91711 United States
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Title: Understanding Structure in the Single Variable Knot Polynomials Abstract: We examine the dimensionality and internal structure of the aggregated data produced by the Alexander, Jones, and Z0 polynomials using topological data analysis and dimensional reduction techniques. By examining several families of knots, including over 10 million distinct examples, we find that the Jones data is well described as a three dimensional manifold, the Z0 data as a single two dimensional manifold and the Alexander data as a collection of two dimensional manifolds. We confirm each of these…

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Francis Bonahon

October 2 @ 4:15 pm - 5:15 pm
Argue Auditorium, Pomona College, 610 N. College Ave.
Claremont, CA 91711 United States
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GEMS Workshop: Symmetry with Professor Michael Orrison, from Harvey Mudd College

October 5 @ 10:00 am - 12:00 pm
Shanahan 1480, Harvey Mudd College, 301 Platt Blvd.
Claremont, CA 91711 United States
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TOPIC: Symmetry Symmetry seems to be an important idea in mathematics, but how do mathematicians think about symmetry? In this workshop, we’ll talk about mathematical objects called groups, see how they are used to describe symmetry, and then put them to work to help us answer some nontrivial counting problems. WHAT IS GEMS: The Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science. GEMS meets…

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Applied Math Seminar: Mathematical model of Hematopoietic cell differentiation from single-cell gene sequencing data (Prof. Heyrim Cho ,UCR)

October 7 @ 4:15 pm - 5:15 pm
Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave.
Claremont, California 91711
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Recent advances in single-cell gene sequencing data and high-dimensional data analysis techniques are bringing in new opportunities in modeling biological systems. In this talk, I will discuss different approaches to develop mathematical models from single-cell data. Particularly for high-dimensional single-cell gene sequencing data, dimension reduction techniques are applied to find the trajectories of cell states in the reduced differentiation space. Then, we develop PDE models that describe the cell differentiation as directed and random movement on the abstracted graph or…

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Matroids: a unified theory of independence (Mauricio Gomez Lopez, University of Oregon)

October 8 @ 12:15 pm - 1:10 pm
Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave.
Claremont, California 91711
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In this talk, I will give an overview of the theory of matroids. These are mathematical objects which capture the combinatorial essence of linear independence. Besides providing some basic definitions of this theory, I will discuss several examples of matroids and explain some connections with optimization. Also, in this talk, I will introduce matroid polytopes, which provide a geometric framework for studying matroids. If time permits, I will discuss some new proofs to known results that I developed with one…

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