Events for 09/24/2018 from all calendars

Number Theory Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Naser Talebizadeh Sardari, University of Wisconsin

Title: Bounds on the multiplicity of the Hecke eigenvalues

Abstract: Fix an integer N and a prime p\nmid N where p> 3. Given any p-adic valuation v_p on \bar{\mathbb{Q}} (normalized with v_p(p)=1) and an algebraic integer \lambda \in \bar{\mathbb{Q}}; e.g., \lambda=0, we show that the number of newforms f of level N and even weight k such that T_p(f)=\lambda f is bounded independently of k and only depends on v_p(\lambda) and N.

URL: Event link

Promotion Talk - Dr. Jennifer Whitfield

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Dr. Jennifer Whitfield, Texas A&M University

Description:

Title: The Craft of Teaching Mathematics: My Journey

Abstract:
All instructors of mathematics have their own craft of teaching whereby they orchestrate meaningful mathematical discussions that allow students to construct a deep understanding of mathematical concepts. In this talk, I will share some key aspects that helped me develop my craft of teaching mathematics and highlight what I perceive to be some of my most effective techniques for teaching mathematics to undergraduate freshmen.

Industrial and Applied Math

Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Manuel Quezada de Luna, ERDC

Title: A monolithic conservative level set method with built-in redistancing

Abstract: In fluid mechanics the interaction of fluids with distinguishable material properties (e.g. water and air) is referred as multiphase flow. In this work we consider two-phase incompressible flow and concentrate on the representation and time evolution of the interface. There is an extensive list of methods to treat material interfaces. Popular choices include the volume of fluid and level set techniques. We propose a novel level-set like methodology for multiphase flow that preserves the initial mass of each phase. The model combines and reconciles ideas from the volume of fluid and level set methods by solving a non-linear conservation law for a regularized Heaviside of the (distance function) level-set. This guarantees conservation of the volume enclosed by the zero level-set. The equation is regularized by a consistent term that assures a non-singular Jacobian. In addition, the regularization term penalizes deviations from the distance function. The result is a nonlinear monolithic model for a phase conservative level-set where the level-set is given by the distance function. The continuous model is monolithic (meaning that only one equation is needed) and has only one parameter that controls the strength of regularization/penalization in the model. We start the presentation reviewing the main ingredients of this model: 1) a conservative level-set method by [Kees et all (2011)], which combines a distanced, non-conservative level-set method with the volume of fluid method via a non-linear correction and 2) elliptic re-distancing by [Basting and Kuzmin(2014)]. Afterwards, we manipulate the conservative level-set method by [Kees et all (2011)] to motivate our formulation. We present a first model which we then modify to resolve some difficulties. Finally, we present a full discretization given by continuous Galerkin Finite Elements in space and a high-order Implicit-Explicit time integration. We demonstrate the behavior of this model by solving different benchmark problems in the literature of level-set methods. T