Events
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Wen 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…
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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…
Sonia Kovalevsky Day
SAS 2203The NC State Student Chapter of the Association for Women in Mathematics will host its 6th Annual Sonia Kovalevsky Day on Saturday morning, April 8. The event will feature mathematically-oriented games and workshops and a keynote talk by Cynthia Vinzant. It is free, and all 7th and 8th grade girls are welcome to attend. The…
Tea and Cookies
SAS 4104Peter Markowich, University of Cambridge and University of Vienna, “A PDE system modeling biological network formation”
SAS 1102Transportation networks are ubiquitous as they are possibly the most important building blocks of nature. They cover microscopic and macroscopic length scales and evolve on fast to slow times scales. Examples are networks of blood vessels in mammals, genetic regulatory networks and signaling pathways in biological cells, neural networks in mammalian brains, venation networks in…