Events
Steven Desrochers, “Numerical study and feedback stabilization of a linear hydro-elasticity model”
Mann 301Advised by Lorena Bociu.
Bernd Sturmfels, University of California, Berkeley, “Gaussian mixtures and their tensors”
SAS 4201Mixtures of Gaussians are ubiquitous in data science. We give an introduction to the geometry of these statistical models, with focus on the tensors that represent their higher moments. The familiar theory of rank and borderrank for symmetric tensors is recovered when all covariance matrices are zero. Recent work with Carlos Amendola and Kristian Ranestad…
Weekly Brown Bag Lunch
SAS 4104Please join us for our weekly brown bag lunch! You bring your lunch, and we will bring a delicious treat. Everyone (not just women) is welcome to join or stop by for as long as they can!
Tea and Cookies
SAS 4104Wen Shen, Penn State, “Vanishing viscosity solutions for Riemann problems in polymer flooding”
SAS 4201We visit several models of polymer flooding in reservoir simulation. A special common feature shared by the models, i.e., the thermo-dynamics is decoupled from the hydro-dynamics, leads to a scalar conservation law with discontinuous flux. We discuss solution of Riemann problems as the vanishing viscosity limit. In particular, we show by counter examples that there exists…
Zach Hough, “Degree-optimal moving frames for rational curves”
I will present an algorithm that, for a given vector of n relatively prime polynomials in one variable over an arbitrary field, outputs an invertible matrix with polynomial entries such that it forms a degree-optimal moving frame for the rational curve defined by the input vector. From an algebraic point of view, the first column…
Dan Scofield, NC State
Solid, liquid, gas – we see these phases of matter all around us. But physicists have discovered exotic phases with strange properties, such as superfluids and superconductors. What kinds of phase transitions happen in an extremely cold, thin sheet of matter? What does this have to do with the field of math known as topology? In this talk we’ll…
Max Glick, University of Connecticut, “The Berenstein-Kirillov group and cactus groups”
Berenstein and Kirillov have studied the action of Bender-Knuth moves on semistandard tableaux. Losev has studied a cactus group action in Kazhdan-Lusztig theory; in type A this action can also be identified in the work of Henriques and Kamnitzer. We establish the relationship between the two actions. We show that the Berenstein-Kirillov group is a…
Laura Storch, University of New Hampshire, “Chaos in ecology: A theoretical approach and a direct application using examples from fisheries”
Cox 306Part 1: A theoretical approachChaotic dynamics have been directly detected in ocean dwelling species, and asymmetrical advective dispersal is the dominant dispersal mechanism in the ocean. Therefore, we must better our understanding of chaotic population dynamics under the influence of a unidirectional current. Here, we examine a spatially explicit, density-dependent population in a unidirectional current,…
Strategies for Navigating Gender Bias Discussion
SAS 4201On behalf of a project run by The Graduate School, AWM will facilitate a discussion among female graduate students about strategies for navigating gender bias in academia. AWM will provide bagels and other treats to participants. This is meant to be a casual conversation, and nothing will be recorded. We will share your stories with…
Tea and Cookies
SAS 4104Michael Ruddy, “Signature map on algebraic varieties”
Let G be a Lie group acting smoothly on the plane. Then two smooth curves C and C' are G-equivalent if there exists some g in G such that gCC'. Can we answer the question, when are two curves G-equivalent? What can we additionally say if we restrict our attention to algebraic curves? In this…
GIST panel: education research in undergraduate mathematics
We'll be focusing on education research in undergraduate mathematics (using it to improve our teaching and learning more about how its done). Our panelists are Karen Keene (Associate Professor and Graduate Program Coordinator in NCSU Stem Ed department) and Jack Bookman (Professor of the Practice Emeritus in the Duke Mathematics department).
Nick Hill and Xiaoyu Luo, University of Glasgow, “Aspects of the cardiovascular system”
Cox 306Aspects of the cardiovascular system:(i) coupling between the left ventricle and systemic arteries, and (ii) arterial dissection. Two topics in mathematical and computational modelling of the systemic arterial circulation will be discussed. First, an immersed boundary model of the left ventricle (LV) is coupled to a structured tree model of the systemic arteries. There is…
Mette Olufsen, NC State, “Why don’t we (usually) faint when we stand up?”
Basic physics suggests that when we stand up, the blood pressure in our brain should drop dramatically. Such a pressure drop should cause us to faint. But most of us don’t faint when we stand up. In this talk I’ll discuss a mathematical model that explains why most of us don’t, and why some people…