Date Event Type Event Name Abstract
08/15/2018 Graduate Student Summer Seminar The Coupling Method Coupling has been an important tool in probability theory for decades. It's a powerful technique which is frequently used to compare random variables with each other, providing estimates of total variance distances, as well as establishing inequalities and proving limit theorems. On this talk, it...
08/15/2018 REU Colloquium REU Final Presentation: Eta-quotients of prime or semiprime level and elliptic curves
08/13/2018 Graduate Student Summer Seminar Non-negatively curved Riemannian Manifolds with a large symmetry rank. The classification of compact manifolds with non-negative sectional curvature is a long-standing and classic question in Riemannian geometry. For dimension greater or equal to 4, the question is widely open. In this talk we will introduce the audiences with some well-known obstruction theorems for...
08/10/2018 REU Colloquium REU Colloquium - Experiences of women of color in graduate mathematics programs
08/08/2018 Graduate Student Summer Seminar Seminar The quasi-static Biot system is a coupled system of parabolic and elliptic partial differential equations that describe the small deformations of and fluid flow through a fully saturated elastic and porous structure. Examples include subsurface flow of groundwater and blood flow through tissue. Our...
08/06/2018 Graduate Student Summer Seminar Seminar A topological group action of a finite group encodes the information of the symmetries of a surface. One can study these actions by analyzing their orbit spaces. A surface with a topological group action whose orbit space is a sphere with three branch points is called a quasiplatonic surface. These...
08/06/2018 REU Colloquium REU Colloquium - On Robin's Inequality
08/03/2018 REU Colloquium REU Colloquium - Design principles for educational games Researchers have begun to develop games and investigate game-based learning because of the immense potential for games to engage learners. Game design research tends to have a narrow focus on specific game elements and their effects, or engages in a wide-ranging analysis of games in search of...
08/01/2018 REU Colloquium REU Colloquium - What is the Smallest Number of Edge Crossings in a Complete Graph? A drawing of a finite graph in the plane will likely result in edges crossing. The crossing number of a graph is the minimal number of edge crossings among all drawings of the graph in the plane. The crossing number is known for complete graphs having up to twelve vertices, and is conjectured to be...
07/30/2018 Ph.D.Defense Rigidity of Vertex-Regular Actions on Fuchsian Buildings We present a method by which torsion-free groups of automorphisms of a 2-dimensional hyperbolic building which act simply transitively on the vertex set can be constructed, and prove that any such group can be obtained by this construction. The method produces groups defined by finite presentations...
07/30/2018 REU Colloquium REU Colloquium - Some problems at the interface of Harmonic Analysis and Number Theory
07/27/2018 M.Sc.Defense An Exploration of Modeling Concepts for Coupled Flow and Energy Systems with Applications to Geyser Modeling In this talk we discuss multiple approaches to modeling coupled flow and energy systems, with applications to geothermal fluid flow in geysers. We explore a model from a geophysical point of view, and discuss analysis of a related model. We then focus on our own model which features a free-boundary...
07/25/2018 Graduate Student Summer Seminar An Exploration of Modeling Concepts for Coupled Flow and Energy Systems with Applications to Geyser Modeling In this talk we discuss multiple approaches to modeling coupled flow and energy systems, with applications to geothermal fluid flow in geysers. We study a model from a geophysical point of view, and discuss analysis of a related model. We then focus on our own model which features a free-boundary...
07/25/2018 REU Colloquium REU Colloquium - Applied Math
07/24/2018 Ph.D.Defense Undergraduate Students' Generalizing Activity in Real Analysis: Constructing a General Metric Generalization is a fundamental mathematical practice across all disciplines and content areas (Amit & Klass, 2005; Lannin, 2005; Pierce, 1902; Vygotsky, 1986; Ellis, Lockwood, Tillema & Moore, 2017). While a considerable amount of research has been conducted on students' generalizing...
07/23/2018 Graduate Student Summer Seminar The FKG inequality and its applications In Probability, the FKG (short for Fortuin–Kasteleyn–Ginibre) Inequality is a correlation inequality and a fundamental tool in statistical mechanics and probabilistic combinatorics, especially random graphs with probabilistic method. In many random systems, increasing events are positively...
07/23/2018 REU Colloquium REU Colloquium - Students use of computational activities to explore counting problems
07/20/2018 REU Colloquium REU Colloquium - Topological Data Analysis
07/18/2018 Graduate Student Summer Seminar Seminar This talk is on modelling porosity. Porosity is the proportion of a region unoccupied by a solid. We'll begin by reviewing conservation of mass, and from this derive a model for the evolution of porosity in an elastic medium. The model is then broken into separate pieces of study, before being...
07/18/2018 REU Colloquium REU Colloquium - Ancient Greek Geometry/Astronomy

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