Mathematics Colloquium Schedule

Spring 2019

Date: 04-12-2019 (12pm-1pm, F03-200A), Dr. David Wiygul, Department of Mathematics and Statistics, CSULB.

Title: Free-boundary Minimal Surfaces in the 3-ball with Connected Boundary

Abstract: After an overview of minimal surfaces and some associated boundary-value problems, I will briefly survey some existence and uniqueness results for free-boundary minimal surfaces in the three-dimensional ball and then focus on the first nontrivial construction (joint work with Nicos Kapouleas) of such surfaces having connected boundary.


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.





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