This talk will report on my experiences as a Mathematician at Space and Naval Warfare (SPAWAR) Systems Center Atlantic. After an introduction, I will provide an overview of SPAWAR Atlantic, talk in general about my opportunities and experiences as a Mathematics PhD in the government, and then give examples of research projects I support. Finally,…
This semester the Biomathematics GSA will be hosting student led tutorials on a variety of topics. The goal of these tutorials is to help graduate students develop computational tools. This week will cover data visualization using R Studio with the ggplot package. If you are interested in participating please bring a laptop with the necessary…
Effective webpages are an increasingly important medium for disseminating information related to classes and research. For TAs, they provide a critical way to share material with your class whereas for those entering the job market, they are often checked by potential employers interested in obtaining more information about candidates. Hence it is important to construct…
We consider the problem of maximizing expected utility from terminal wealth for a power investor who can allocate his wealth in a stock, a defaultable security, and a money market account. The dynamics of these security prices are governed by geometric Brownian motions modulated by a hidden continuous time finite state Markov chain. We reduce…
In this talk I will introduce the ideas of singularities of a polynomial and resolution of those singularities, and then develop the blowup process algorithm. For a polynomial f, a point is singular if f and all its first partials vanish at that point. A resolution of the singularities of f gives a non-singular polynomial…
This semester the Biomathematics GSA will be hosting student led tutorials on a variety of topics. The goal of these tutorials is to help graduate students develop computational tools. This week will cover the development of interactive web applications using R Studio with the shiny package. If you are interested in participating please bring a…
Jake will be leading an interactive seminar on today's best practices with Password Management. You'll have the opportunity to go hands on with him as he walks you through multiple platforms and options to stay sane, while still being safe. Regardless of your experience with LastPass and Passwords, I encourage you to come hear about…
Exact couples and the Bockstein spectral sequence.
In their celebrated 1993 paper, Brink and Howlett proved that all finitely generated Coxeter groups are automatic. In particular, they constructed a finite state automaton recognising the language of reduced words in a Coxeter group. This automaton is not minimal in general, and recently Christophe Hohlweg, Philippe Nadeau and Nathan Williams stated a conjectural criteria…
The study of hyperplane arrangements begins at fundamental questions such as: how many pieces can one cut a cake into with n slices? Quickly, hyperplane arrangements generate many intricately interesting mathematical structures and connections to many seemingly unrelated topics appear. I will attempt to show how matroids offer a convenient framework to study hyperplane arrangements…
Nicolette Price from Mathematics IT will be leading an interactive seminar on today's best features of file sharing using cloud services. You'll have the opportunity to go hands on with her as she walks you through multiple platforms and different ways to get your files where they need to be, and to who needs access to…
During this talk I will present a queuing model for database locking systems, where jobs represent user requests for simultaneous access to a set of files in a large database. While files are in use, their content can change, so to preserve consistency throughout the database files currently in use are locked, creating blocking and…
This talk will address deterministic mean field games for which agents are restricted in a closed domain of R^n with smooth boundary. In this case, the existence and uniqueness of Nash equilibria cannot be deduced as for unrestricted state space because, for a large set of initial conditions, the uniqueness of solutions to the minimization…