Date Event Type Event Name Abstract
06/13/2018 Ph.D.Defense On Small Heights of Totally p-adic Numbers The height of an algebraic number a is a measure of how arithmetically complicated a is. We say a is totally p-adic if the minimal polynomial of a splits completely over the field of p-adic numbers. In this dissertation, we investigate what can be said about the smallest nonzero height of a degree...
06/08/2018 M.Sc.Defense Topological Data Analysis and Sensor Coverage Problems While topology has been of great interest to pure mathematicians, it did not seem to have substantial real life applications until about 20 years ago. In this talk we explore the basics of topological data analysis, a new field that combines the powerful toolbox of algebraic topology with large...
06/07/2018 M.Sc.Defense Hypergeometric Functions Over Finite Fields Classical Gaussian hypergeometric functions have been a rich vein of mathematics since their inception, with applications ranging as far as differential equations, spherical geometry, and modern number theory. In 1987, John Greene defined finite field analogs of these functions. In this talk, we...
06/06/2018 Mathematical Biology Seminar Detecting emergent behavior in complex systems Despite the complexity of individual behaviors and the absence of an active governor, many social-like systems autonomously exhibit large-scale collective behaviors. Consider human social groups, political bodies, or migrating animals; all of these systems are composed of diverse individual...
06/06/2018 Mathematics Education Seminar An Active Learning Strategy for INTO Calculus We shall describe an active learning strategy based on Dr. David Pengelley's pedagogy, for INTO Calculus. After presenting the basic pedagogy and mechanics of implementation, we shall discuss the issues that were faced, solutions, and state the clear advantages of the method. We shall also present...
06/05/2018 Number Theory Seminar Rauzy Fractals
06/04/2018 Department Colloquium A Key to the Secret Garden of Partial Differential Equations Are there equations in mathematics that are just too hard to solve? Perhaps-and many of them seem to be nonlinear partial differential equations. But we cannot give up! These equations appear in nearly every scientific discipline, including physics, biology, chemistry, medicine, so we must work...
06/04/2018 Geometry-Topology Seminar The Davis-Okun conjecture and hyperplane arrangements In the first part of the talk, I will provide enough background on L2- (co)homology to discuss the Davis-Okun conjection, a generalization of the Singer conjecture. The second half of the talk is about hyperplane arrangement. In a paper with M. Davis and K. Schere, we study the question of what is...
05/31/2018 M.Sc.Defense "Mathematical and Computational Considerations of a Model of Microbiologically Induced Calcite Precipitation" In this paper, we discuss two possible modifications to a numerical solution method for a model of microbiologically induced calcite precipitation (MICP). MICP provides a means to seal cracks in the surfaces of geological structures. This process can be useful in the context of carbon sequestration...
05/30/2018 Department Event Spring Meeting for Graduate Students and the G.C. Chair The primary goal of this meeting is to clarify any policies, discuss any issues, and collect suggestions going forward for both the graduate students and the graduate committee.
05/30/2018 Mathematical Biology Seminar Wavelet Analysis on Graphs and Applications to Complex Systems Wavelets are the primary tool for multi scale analysis of time series data as well as of 2D images, having largely supplanted the Fourier transform in signal and image processing and analysis. There has been much recent work on extending wavelet techniques to the analysis of signals defined on...
05/30/2018 Ph.D.Defense "Zeros of Certain Combinations of Products of Eisenstein Series" In this dissertation, we begin by presenting the result of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of the Eisenstein series for the full modular group in the standard fundamental domain. Their simple but beautiful argument shows that all zeros are located on the lower...
05/29/2018 External Da Vinci Days STEAM Series: Ancient Greek Astronomy Using eclipse events and the geometry of triangles, the ancient Greeks were able to measure the size and distance to both the moon and the sun with surprising accuracy. In this presentation, participants will learn how the Greeks were able to make such astounding measurements, and will leave with...
05/25/2018 Applied Mathematics and Computation Seminar Monte Carlo radiative acceleration and radiation transfer in relativistic jets Relativistic bipolar outflows are common in the Universe when matter accretes onto compact objects, such as black holes. Their electromagnetic emission is extremely bright and spans a wide range of frequencies. I will begin by introducing accretion-powered astrophysical outflows and their...
05/23/2018 Mathematical Biology Seminar Natural Variation of Plant Pathogenic Agrobacteria Agrobacteria represent a group of Gram-negative bacteria that have the unusual ability to execute inter-kingdom gene transfer. This process is dependent on oncogenic plasmids and is critical for the bacteria to establish a nutrient-replete niche. This process has also been modified as a...
05/23/2018 Mathematics Education Seminar Design Principles for Games supporting Mathematics Learning
05/22/2018 Probability Seminar Tokunaga self-similarity arises naturally from time invariance The Tokunaga condition is an algebraic rule that provides a detailed description of the branching structure in a self-similar tree. Despite a solid empirical validation and practical convenience, the Tokunaga condition lacks a theoretical justification. Such a justification is suggested here. We...
05/22/2018 Number Theory Seminar Decreasing heights along continued fractions We report on a preprint of G. Panti. Panti gives a direct proof using continued fraction-type maps which decrease heights (for appropriate sets of algebraic numbers) to reprove the result that any triangle group whose invariant trace field is a quadratic number field acts transitively on the...
05/21/2018 Analysis Seminar Regularity theory for degenerate elliptic equations with rough coefficients Starting with results by Moser, Nash, and DeGiorgi in the late 50's-early 60's, the regularity theory of elliptic and subelliptic equations with rough coefficients has been thoroughly developed. There is also a smaller theory still in its infancy of infinitely degenerate elliptic equations with...
05/19/2018 Number Theory Seminar Oregon Number Theory Days This is the third meeting of Oregon Number Theory Days, a triannual number theory seminar rotating between the University of Oregon, Oregon State University, and Portland State University. The main speaker will be Rachel Pries of Colorado State University, who will give two talks. There will also...

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