Basic Notions Seminar
Fall 2017
All talks are from 1200  1300 in the Seminar room, unless otherwise specified.

Dec07

Nov30

Understanding spacetime singularities  classical and quantumDebbie KonkowskiTime: 12:00 PM
View Abstract
We will investigate a class of singularities which occur in Einstein's general relativity and see if they can be resolved in quantum theory. We will consider several methods in differential geometry and, timepermitting, see some research by midshipmen in this area.

Nov16

Resampling methodsCAPT David RuthTime: 12:00 PM
View Abstract
Bradley Efron characterized resampling methods as a way to “substitut[e] computational power for theoretical analysis” with the following payoff: “freedom from the constraints of traditional parametric theory, with its overreliance on a small set of standard models for which theoretical solutions are available.” In this talk I will introduce three resampling techniques commonly used today in statistical practice: bootstrapping, crossvalidation, and permutation tests. After briefly presenting underlying theories, I’ll illustrate each technique by example. As time permits, I’ll introduce a new graphtheoretic approach to twosample change detection problems as a current application of permutation testing.

Nov01

Oct26

Statistical Hodgepodge and Probability PotpourriDoug VanDerwerkenTime: 12:00 PM
View Abstract
This talk is a whirlwind tour of results from probability and statistics that I find interesting. Time permitting, we'll talk about the Central Limit Theorem and generalizations, the BerryEsseen Theorem, the German Tank Problem, the Secretary Problem, how to win at HORSE and/or darts, Polya's Recurrence Theorem, Bayes' Theorem for exponential families (conjugacy), etc.

Oct19

Acoustics and Undersea Warfare: An IntroductionLCDR Noble HetherintonTime: 12:00 PM
View Abstract
This talk will introduce considerations for acoustic signal generation, propagation, and detection in the undersea environment. Topics will include the acoustic wave equation, the physical factors that affect sound speed in the ocean, measurement techniques, sonar equations, tactical implications, and a brief discussion of the contributions of array theory and nonlinear acoustics to the undersea environment.

Oct12

No seminar this weekDean's Brown BagTime: 12:00 PM

Oct05

What is a mathematical model?Scott HottovyTime: 12:00 PM
View Abstract
In Isaac Asimov's "Foundation" novel, a scientist predicts the fall and rise of a galactic civilization using a branch of mathematics called physchohistorya type of dynamical systems model to predict human nature. This got me thinking about what it would take to apply mathematical models to social science fields, which got me questioning what a mathematical model really is. In this talk, I will try to aggregate as much information and as many examples as possible to explore what a mathematical model is, what they are used for, and what makes a good model. In addition, I will also touch on what an OR and Statistical model is. Beware: this talk will be philosophical in nature.

Sep28

From vector calculus to de Rham cohomologyMark KidwellTime: 12:00 PM
View Abstract
curl(grad f) = 0 and div(curl F) = 0. Is there a vector field whose curl vanishes which is not the gradient of anything, or a vector field whose divergence vanishes which is not the curl of anything? The answer lies in topology.

Sep14

Calculus on Graphs and "HodgeRank"David JoynerTime: 12:00 PM
View Abstract
The goal of this expository talk is to discuss the extension of Hodge decomposition in homology from graphs to matroids and simplicial complexes. The talk will focus on examples.