Events
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Ryan Vogt, NC State, SIAM Student Chapter Tutorial Series: Introduction to the Finite Element Method
SAS 2235The Finite Element Method(FEM) is one of many numerical methods to approximate solutions to ordinary and partial differential equations. FEM has been applied to numerous problems found in the fields of Fluid Mechanics, Electromagnetics, Lagrangian Mechanics, etc. While there are many approaches to the Finite Element Method, I will present the Galerkin approach. I will…
Cynthia Vinzant, NC State, Slicing Space
Suppose we lazily slice up the SUM series pizza. How many pieces can we make with just a few slices? What if we had a watermelon? Together we will try to answer this prob- lem and explore some of the beautiful geometry behind it. No background will be assumed and this talk should be ac-…
Seth Sullivant, NC State, Algebraic Statistical Models in Phylogenetics
SAS 4201Phylogenetics is the branch of mathematical biology concerned with constructing evolutionary relationships between collections of species. These lectures will introduce these models, in particular emphasizing the ways that algebraic statistics can be used to analyze properties of the models. Viewed from the perspective of algebraic statistics, the corresponding algebraic varieties that arise are often familiar…
Michael Singer, NC State, Walks, Difference Equations and Elliptic Curves
SAS 4201Many questions in combinatorics, probability and thermodynamics can be reduced to counting lattice paths (walks) in regions of the plane. A standard approach to counting problems is to consider properties of the associated generating function. These functions have long been well understood for walks in the full plane and in a half plane. Recently much attention has focused on walks…
Deane Yang, New York University, Introduction to Convex Geometry and Brunn-Minkowski Theory
SAS 4201Convex geometry is the study of convex bodies in Euclidean space. Despite the apparent simplicity of such objects, they are a source of many deep mathematical discoveries and mysteries. This talk will present a survey of Brunn-Minkowski theory, which is the study of affine geometric invariants and inequalities satisfied by convex bodies. Unlike differential geometry,…
Khai T. Nguyen, NC State, Burgers Equation with Some Nonlocal Sources
SAS 4201This talk will present some recent results on the global existence of entropy weak solutions, priori estimates, and a uniqueness result for both Burgers-Poisson and Burgers-Hilbert equations which were derived from models of nonlinear wave with constant frequency. Some open questions will be discussed.
Nathan Reading, NC State, Two triangles in a torus
With a very stretchy square piece of paper, you can make a torus: Glue opposite sides of the square together to make a tube and then stretch and bend the tube to bring the two cir- cular ends together. Since the square can be built out of two triangles, you’ve made a torus out of…
Tao Pang and Agnes Szanto, NC State
SAS 4201Tea and Cookies
SAS 4104José Figueroa-López, Washington University, Short-Time Asymptotic Methods In Financial Mathematics
SAS 1102In this talk, we are concerned with the expected values of certain functionals of the path of a stochastic process during a given time period. High-order asymptotic characterizations of such values when the time period shrinks to 0 have a wide range of applications. In statistics, they are crucial in obtaining the infill asymptotic properties…
Claire Zajaczkowski, NC State
SAS 4201Eric Chi, NC State, SIAM Student Chapter Data Science Lecture Series: Getting Arrays in Order with Convex Fusion Penalties
Daniels 322In this talk, I will discuss a convex formulation of the clustering problem and its generalization to biclustering of matrices and more broadly to co-clustering of multiway arrays or tensor data. The key advantage in formulating clustering as a convex program is that doing so addresses well-known issues of instability and parameter selection that plague…
Department Tea and Cookies
SAS 4104Mikhail Khovanov, Columbia University, Categorifications of natural numbers, integers and fractions
SAS 1102Categorification lifts natural numbers to vector spaces and integers to complexes. Natural number n becomes a vector space of dimension n, and an integer becomes the Euler characteristic of a complex of vector spaces. A well-known example of categorification is lifting the Euler characteristic of a topological space to its homology or cohomology groups. The…
Molly Fenn, NC State, Gerrymandering: Math at the Supreme Court
Gerrymandering, the act of drawing political maps to achieve a desirable election outcome, has been increasingly in the news as cases wind their way to the Supreme Court and as the country approaches a new census in 2020. In this talk we’ll look at some of the mathematical strategies and problems that arise in gerrymandering…
Natasha Rojkovskaia, Kansas State University, Factorial Schur Q-functions
Classical Schur Q-functions describe characters of a queer Lie superalgebra, projective representations of a symmetric group and provide solutions of a BKP hierarchy. This talk is devoted to properties of a generalization of Schur Q-functions - factorial Q-functions, including a particular important case of shifted Schur Q-functions.
Triangle Math Teachers’ Circle Workshop
Triangle Math Teachers' Circle Workshop (sponsored by American Institute of Mathematics) will be held at NCSU, Math Department, on Saturday February 10. This event is aimed at current and future teachers, math education students and anyone who is interested in creative approaches to teaching mathematics through problem solving to K-12 students. The presenters are Natasha Rozhkovskaya (Kansas State University) and Hector Rosario (South Gwinnet High…
Tea and Cookies
SAS 4104Antonio Marigonda, University of Verona, Italy, Mean-field optimal control of multi-agent systems
SAS 1102Recently, there has been an increasing interest from the community in real-life complex system modeling. The most popular example is provided by systems where the number of agents is so large, that only a statistical description (reminiscent to the statistical mechanics description of systems in thermodynamics) turns out to be viable. The usual way to…