Mathematics Colloquium Schedule

Spring 2019

Date: 03-08-2019 (12pm-1pm, F03-200A), Dr. Nick Johnson, Senior Researcher, DREME (Development and Research in Early Mathematics Education) Teacher Education at UCLA.

Title: Expanding Competence: Uncovering the Possibilities of Children’s Mathematical Thinking

Abstract: Young children are remarkably capable of making sense of and engaging in sophisticated mathematics. However, these rich understandings—which often present as partial, incomplete, or otherwise fragile—are often overlooked in research and practice. This presentation will explore how research on children’s thinking offers potential to broaden what is recognized as knowing and doing mathematics. Findings from studies of young children’s counting and teachers’ positioning of student contributions in classroom interactions will illustrate the socially constructed nature of competence, and how collective notions of competence shape opportunities for participation and learning.

Date: 01-25-2019 (12pm-1pm, FO3-200A), Dr. Alexander Austin, University of California Los Angeles.

Title: The Geometry of Fluid Flow

Abstract: Imagine a colored dye injected into a fluid so that, at first, the dye fills out a perfect sphere. Start time and watch the fluid flow. How does the sphere change? Does it twist and spiral? Expand or contract? Does it stay roughly the same size, or roughly the same shape? I am interested in how the velocity field of the fluid supplies the answers to such questions. In particular, if I want a transformation of space
that has certain interesting properties, I would like to be able to write down a velocity field that realizes the transformation as a fluid
flow. This has application to the problem of recognizing when a metric space is roughly the same as Euclidean space. If there is time, we will
explore the development of similar ideas in a non-Euclidean framework. The talk should be accessible to anyone who has taken a course in
multivariable calculus (and a first course in differential equations will help).


Fall 2018

Date: 10-19-2018 (12pm-1pm, F03-200A), Dr. Naveen Vaidya, San Diego State University.

Title: Mathematical Models of Human Immunodeficiency Virus Reservoirs

Abstract: Despite the tremendous success of highly active antiretroviral therapy (HAART) for the treatment of Human Immunodeficiency Virus (HIV), there is no cure for HIV yet due to presence of viral reservoirs such as latently infected CD4+ memory T cells and infected brain cells. In this talk, I will present mathematical models of HIV reservoirs that accurately predict observations in experimental data from HIV infected humans and SIV (Simian Immunodeficiency Virus) infected macaques. First, I use the models to show that the latent infection can be limited by early ART during acute HIV infection. However, this effect can be influenced by the drug pharmacodynamics properties showing that the choice of drugs in ART is a key to successful cure via early therapy. Second, I use the models to estimate key parameters related to the brain infection, including virus-transfer across blood-brain barrier. The model analysis helps to provide a threshold for the establishment of infection, and to compare the viral infection dynamics in the brain with that in the plasma.

Date: 10-12-2018 (12pm-1pm, F03-200A), Dr. Curtis Bennett, Dean, CNSM, CSULB.

Title: Fibonacci and Lucas Analogues of Binomial Coefficients and What They Count

Abstract: In this talk we will first introduce and provide a little history of the Fibonomials. Next we provide a simple (and more useful than previous interpretations) description of an object the Fibonomials enumerate. We will use this new object to prove various Fibonomial analogues of standard identities on binomial coecients and discuss further generalizations using the Lucas numbers. Full Abstract