Fall 2017 SemesterMonday, December 4Speaker: Afroza PolinTitle: Multiple Testing in High Dimensional SettingMonday, November 27Speaker: Christopher PotvinTitle: Solving the 15-ProblemMonday, November 13Speaker: John HamanTitle: Getting Started with RcppMonday, November 6Speaker: Sam CarolusTitle: Intro to Nonstandard AnalysisAbstract: In which hyperreals and ultralimits are defined and some properties of this strange new world explored.Monday, October 30Speaker: Todd RomutisTitle: Arrow's Impossibility TheoremAbstract: We prove that no election satisfying certain fairness criteria can express the true desires of the electorate.Monday, October 23Speaker: Logan OppermanTitle: Continuous Inspection SchemesAbstract: We compare simple sampling methods with sequential sampling methods in continuous inspection schemes. Monday, October 2Speaker: Katherine ShoemakerTitle: Digital TopologyAbstract: This talk will present how computers understand topological properties and why topology is needed for image analysis algorithms.Monday, September 25Speaker: Samuel HokampTitle: Weak*-closed Rotation Invariant Subspaces of L2(S)Abstract: In which the question of what weak*-closed rotation invariant subspaces of L2(S) look like is answered.Monday, September 18Speaker: Sam CarolusTitle: The Protean Chromatic PolynomialAbstract: I present some interesting facts about the chromatic polynomial of a graph. This was adapted from a talk at the Fall Sectional meeting of the AMS given by Dr. Bruce Sagan.Monday, September 11Speaker: Serge PhanzuTitle: Two Problems in HypercyclicityAbstract: We give some basic definitions for hypercyclicity and prove two interesting results.Monday, August 28Speaker: Samuel HokampTitle: An Introduction to Nets and Their Use in TopologyAbstract: In this talk, we will consider an example in which sequences are insufficient in fully characterizing the topology on a set. We will then present the definition of a net and detail how this generalization of sequences is precisely the notion we are seeking in order to characterize the topology on a set. Friday, April 28Speaker: John HamanTitle: Bayesian Modeling in Political ScienceAbstract: Rich Americans tend to vote Republican, but rich states swing Democrat. Conversely, poor Americans tend to vote Democrat, but poor states are often won by Republicans. I will talk about using statistical inference to examine the effect of income on political opinion, and how to reconcile these patterns.Friday, April 14Speaker: Tom TubersonTitle: Is Random Actually Random? Abstract: If given a random list of numbers, is it always possible to find a pattern in it? Is there some algorithm to tell what the next few numbers in the list are? In this talk we explore possible patterns behind such lists as I present the thought process I went through in the recent past as I pondered the matter. Friday, April 7Speaker: Sam HokampTitle: Minesweeper and a Millenium ProblemAbstract: In this talk, we consider the complexity of the game Minesweeper and show where it fits into the larger world of other NP-complete problems, such as the Traveling Salesman Problem and the Boolean Satisfiability Problem. We will then discuss the P versus NP Millennium Problem and show how a solution to Minesweeper will solve it.Friday, March 31Speaker: Sam CarolusTitle: Category Theory: A PrimerAbstract: Category theory is a way to study interactions between different mathematical structures. We will give some definitions and some uses, then discuss examples, including some we all know and love. Friday, March 24Speaker: Nick PapaliaTitle: Zero, A Brief HistoryAbstract: I will be talking about how zero was not a number at all to begin with and some interesting problems that came about from not having zero as a number. Friday, March 17Speaker: Andrea AltTitle: Supporting Math Emporium Students' Learning through Short Instructional OpportunitiesAbstract: This
talk summarizes a study conducted in the BGSU math emporium. The study
focuses on the concept of including traditional math classroom
experiences in a math emporium course. The aim of this study is to gain
an insight into the opinions of students about which emporium structure
they prefer as well as which they believe they can be more successful
in. Also, this study will analyze emporium students' academic success in
both scenarios. To accomplish these goals, two sections of Algebra II
in the math emporium were offered the option to attend short
instructional opportunities led by the instructor. Friday, March 3Speaker: James MunyonTitle: A Statistical Analysis of Motor Vehicle Fatalities in the United StatesAbstract: 35092
people died in motor vehicle crashes in 2015, a 7.2% increase from 2014
after several years of decrease. The purpose of my thesis is to
investigate which factors correlated with high fatality risk for the
2015 set of crashes. Primary methods of analysis are logistic regression
models and decision tree models. We will find expected risk factors
such as alcohol use, drug use, and lack of seat belt use, but a few
surprises may be in store. Friday, February 24Speaker: Serge PhanzuTitle: The Poincaré InequalityAbstract: The
Poincaré Inequality is a result in the theory of Sobolev spaces, named
after the French mathematician Henry Poincaré. The inequality allows one
to obtain bounds on a function using bounds on its derivatives and the
geometry of its domain of definition. Friday, February 17Speaker: Luke DechowTitle: A Brief Introduction to Some Historically Important GroupsAbstract: For
a few select groups, we'll discuss the questions, problems, or
conjectures that brought rise to them, their constructions and/or
presentations, and some important properties they have or applications
they're used in (along with whatever else I feel like). Slight tangents
may be made into coding theory, Moufang loops, or current problems in
group theory.Friday, February 10Speaker: Garrett EbbersTitle: Think You Know Numbers? Think AgainAbstract: This talk will summarize the book Number Freak by
Derrick Niederman. We will discuss interesting facts about almost every
number from 1 to 200. A majority of these facts should be unknown to
the audience and will come from math, history, pop culture and more. Friday, February 3 Speaker: Jake LaubacherTitle: Every Cow Has a CowlickAbstract: The Hairy Ball Theorem has some interesting applications. We'll present some of them here. Friday, January 27Speaker: Mark MedwidTitle: Gromov HyperbolicityAbstract: In this talk we'll discuss what it means for a space to be hyperbolic (in the sense of Gromov), or spaces that have triangles that are "thin" in some precise sense. We will discuss some basic geometric properties of these spaces, as this notion of hyperbolicity is used frequently in geometric group theory. Friday, January 20Speaker: David WalmsleyTitle: Advice on Applying for Academic JobsAbstract: A good number of BGSU graduate students will end up applying for jobs in academia. I'll discuss the job application process, how to present a strong case for yourself, and discuss what interviewing is like. I'll also provide some helpful articles that delve deeper into these topics. |