Date Event Type Event Name Abstract
09/17/2019 Department Event 2019 Orientation for New Math Grad Students This is the academic orientation for math graduate students entering the program in the fall of 2019. Key elements of the academic program will be covered. Students will also be introduced to OSU Math leadership.
09/11/2019 M.Sc.Defense Stability Analysis of Coupled Discrete Time Systems on an Invariant Cone This paper concerns a question that frequently occurs in various applications: Is any dispersal coupling of stable discrete linear systems, also stable? Although it has been known this is not the case, we shall identify a reasonably diverse class of systems for which it is true. We shall employ the...
09/06/2019 to 09/16/2019 Number Theory Seminar Views of the Scenery Flow Everyone has seen movies of zooming down toward small scales in Julia sets or the Mandelbrot set; the aim of this project is to put this idea on a firm mathematical footing. Starting with a smooth surface embedded in 3-space, if we zoom down toward a point what we see converges to the tangent plane...
09/04/2019 M.Sc. Presentation Multi-Sensory Techniques for Equitable Mathematical Teaching Practices Mathematics courses are predominately taught in a manner that is well-suited for students with vision and less so for students with visual impairment. In this paper, I explore different mathematical representations, technologies, and other strategies that are used to teach mathematics to visually...
08/20/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: The Combinatorics of Factorial Base Representation Abstract: Number base representations contain many interesting and surprising combinatorial properties. One such result, Kummer's Theorem, shows a relationship between binomial coefficients and addition in prime bases. By exploring carry...
08/15/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: Solving Diophantine equation using modular forms. Abstract: In this talk we will see the application of modular forms, as an example, determine whether a number can be represented by some given quadratic form. Firstly we will give a brief review on modular forms and the fundamental domain...
08/15/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: High dimensional manifold and the Whitney trick Abstract: Manifold is a key part of modern geometry which provides an abstraction of the geometric objects. While it is natural to think that the difficulty of study increases with the dimension of object, in reality the study is greatly...
08/15/2019 M.Sc.Defense Reynolds Stress Tensor Systems and Applications to Nonuniqueness of Weak Solutions to Fluid Mechanics Equations In the 1950's John Nash showed through use of an iterative scheme of approximate embedding maps that the sphere could be isometrically embedded into a ball of any radius by a map. In the 1980's M. Gromov generalized Nash's work to the h-principal and convex integration. Recent research in fluid...
08/13/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: 'Applications of h-principle' abstract: 'A brief talk on John Nash's 1954 paper '$C^1$ embedding with an application toward fluid dynamic. ‘ Please Note, this talk is immediately after Sarah Erickson's talk
08/13/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: Investigating Provers' Understandings of Combinatorial Proof: Preliminary Findings Abstract. Combinatorial proof is an important topic in enumerative combinatorics with applications in statistics as well as other mathematical domains. However, only two previous studies in the mathematics...
08/12/2019 M.Sc.Defense The Experiences of Women in First-Term Calculus: Factors Affecting Mathematical Confidence As industries relating to science, technology, engineering, and mathematics in America continue to grow, employers will need more mathematicians and mathematically able workers than are currently graduating. Women are an underrepresented portion of these graduates, and researches say that this...
08/08/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: Inclusive Mathematical Teaching: Multi-sensory Techniques Abstract: College algebra is amongst the top failed courses in the nation, which is why it is important to explore new ways to connect the material with all our students. I propose that we begin to collaborate with special educators...
08/06/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: Hypergeometric functions and Langlands correspondences Abstract: The Modularity Theorem, established by Wiles ('95) and Breuil, Conrad, Diamond, and Taylor ('01), is one of the most significant results in modern number theory, giving deep connections between the seemingly disparate fields of...
08/01/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: A Brief Introduction to Translation Surfaces Abstract: This talk aims to introduce the concept of translation surface, and provide two alternate definitions of a translation surface using polygonal presentations and coordinate charts. We will also introduce liftings of translation structures...
07/30/2019 Graduate Student Summer Seminar Graduate Seminar Summer Title: Bayesian Approaches to State and Parameter Estimation Abstract: Inverse problems are ubiquitous in the natural sciences: data from the physical world is observed and used to inform the state or parameters of a particular system. Many of these types of problems, however, are known to not...
07/25/2019 Graduate Student Summer Seminar Summer Graduate Seminar Connecting Outcomes and Counting There is much documented evidence that students struggle when solving combinatorics problems. Some common errors are grounded in misunderstanding what is being counted and consequently applying inappropriate formulas, such as ignoring order when order matters, and...
07/23/2019 Graduate Student Summer Seminar Summer Graduate Seminar Partition Representations and Related Objects We will discuss various ways to count integer partitions and how this gives rise to q-series identities. This talk will introduce the audience to common ways to represent partitions including Ferrers diagrams and Durfee symbols. Additionally we will...
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...