Date Event Type Event Name Abstract
07/02/2019 M.Sc. Presentation Student Thoughts on Derivatives of Vector Fields Junior level physics students are familiar with a few types of vector field derivatives, such as divergence and curl, but are typically unfamiliar with how to take a general derivative of a vector field. Three junior-level physics students were interviewed with the open-ended prompt, "How would you...
06/14/2019 Department Event Graduation - End of Year Party! Please join us Friday, June 14, from 2:00-3:30 pm for our annual Cake-and-Ice-Cream-End-of-Year-Graduation-Beginning-of-Summer-Party!!! Grads should feel free to dress up in cap-n-gown, bring parents and friends to warm up for the big day on Saturday. Come one, come all, weather permitting we’ll be...
06/14/2019 M.Sc. Presentation Summation-By-Parts Method for Solving the Wave and Maxwell's Equations In this expository paper we present the construction and analysis of Summation-By-Parts method for solving the first order form of the wave and Maxwell's Equations in one spatial dimension. Some of the most popular computational or numerical methods for wave propagation problems are high-order...
06/13/2019 M.Sc. Presentation Theory and Implementation of Multidimensional Periodic Sampling The classical Shannon sampling theorem is a key result in signal processing, which provides a way to reconstruct bandlimited signals from its discrete samples. We discuss a generalization to higher dimensions for sampling sets which consist of a finite union of shifted copies of a lattice. We...
06/13/2019 M.Sc.Defense Diversity Optimization Compared with Sparsity-Promoting Reconstruction Algorithms We compare the performance of a biology-based vector reconstruction procedure to a well known procedure from compressed sensing.
06/10/2019 M.Sc. Presentation Geometry of Locomotion Animals and birds that locomote across diverse terrains employ strategies that share certain qualitative properties. These properties have inspired research aimed at uncovering common structure in the equations of motion that govern these systems. In this talk, I will present an overview of such...
06/10/2019 Ph.D.Defense On Fun and Games: Designed for Learning Mathematics and Beyond All games teach something, and some games are fun. It seems obvious then, that it should be possible to design fun games that help students attain specific learning goals. Efforts in making fun learning games have been effective for the learning but have had mixed results when it comes to the “fun...
06/10/2019 Ph.D.Defense Stochastic and Numerical analysis on optimization problems We will address stochastic control problems from three different directions. At the first part, we determine the optimal strategy to distribute the dividends, when the underlying capital follows SNLP (spectrally negative L´evy process) and discounting factor is an exponential L´evy process,...
06/10/2019 Ph.D.Defense Fourier analysis and equidistribution on the p-adic integers Techniques from harmonic analysis play a crucial role in understanding problems in analytic number theory. For example, in 1916 Hermann Weyl initiated the study of equidistribution of sequences on the additive circle R/Z, establishing a connection between Fourier analysis, number theory, and...
06/10/2019 M.Sc. Presentation Analysis of Coinfection and Optimal Control of Plant Disease Dynamics In this talk we will be looking at the dynamics of various types of plant diseases. To do so, we consider two different models. The first involves Barley and Cereal Yellow Dwarf Viruses, where coinfection of the plant with two or more of these viruses can lead to increased mortality and diminished...
06/07/2019 Applied Mathematics and Computation Seminar Tensor Core Accelerated Mixed-Precision Solvers in CUDA Math Libraries NVIDIA V100 GPUs have a peak double precision performance of 7.8 trillion floating point operations per second (TFLOPS), and a peak single precision performance of 15.7 TFLOPS. However, when leveraging the GPU's tensor cores the V100 has a peak half precision performance of 125 TFLOPS. Thus a...
06/07/2019 Ph.D.Defense Mathematics Graduate Student Instructors as a Complex System Mathematics Graduate Student Instructors (GSIs) have a significant impact on the teaching and learning of mathematics in post-secondary contexts through their work as instructors of record, tutors, graders, and recitation, laboratory, or discussion session leaders for mathematics courses. Perhaps...
06/06/2019 M.Sc. Presentation High Order Finite Difference Methods for the Analysis of Nonlinear and Meta Materials In this research we discuss the design and implementation of high-order finite-difference methods to analyze Maxwell's equations in the context of meta-materials and non-linear optics, which are new and emerging material science research avenues. We first describe Maxwell's equation with Lorentz-...
06/05/2019 Mathematical Biology Seminar Embeddings for Dimensionality Reduction in Microbiome Survey Studies Large-scale microbiome studies looking to understand microbial roles and disease-inducing dysbiosis base their findings on differences between microbial community structures in contrasting environments (healthy vs. diseased tissues). Such efforts are impeded by the curse of dimensionality, whereby...
06/04/2019 Number Theory Seminar Hypergeometric decomposition of symmetric K3 quartic pencils In this talk, we will show the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard–Fuchs differential equations; we count points using Gauss sums and rewrite this in terms of finite field...
06/04/2019 Applied Mathematics and Computation Seminar (JOINT WITH CEAOS) OpenFoam seminar This seminar will be given by the Principal Developer of OpenFOAM, Dr Hrvoje Jasak. OpenFOAM is an open source tool box for solution of continuum mechanics problems, including computational fluid dynamics. It is written in c++, and has a syntax that allows partial differential equations and...
06/04/2019 Mathematics Education Seminar Markers of Quality in Online Course Design and Facilitation Join Dr. Katherine McAlvage, Assistant Director of Course Development and Training at Ecampus, to discuss markers of quality in online course design and facilitation that are based on research-based best practices. Whether you have taught many Ecampus courses or are thinking about taking one of...
06/04/2019 Ph.D.Defense Modeling Flow and Transport at Pore Scale with Obstructions In this thesis we study mathematical and computational models for phenomena of flow and transport in porous media in the presence of changing pore scale geometries. The differential equations for the flow and transport models at Darcy scale involve the coefficients of permeability, porosity, and...
06/03/2019 Department Colloquium Algebra and Origami In the making of origami, one starts with a piece of paper, and through a series of folds along seed points one constructs complicated three-dimensional shapes. Mathematically, one can think of the complex numbers as representing the piece of paper, and the seed points and folds as a way to...
06/03/2019 Analysis Seminar TBA