Colloquium 12/1: Kate Kochalski on “Fluid Limit for a Batched Processor Sharing Queue”

Kate Kochalski of the University of Virginia will speak as part of the R. W. Yeagy Colloquium series on Friday, December 2 at 2pm in Math Building 357.

Abstract: We consider a sequence of single server queues operating under a service policy that incorporates batches into processor sharing. There are measure-valued processes that describe each system in the sequence. Motivated by the law of large numbers from classical probability, we find a fluid limit of these processes.  This is a limiting stochastic process that is easier to work with than the original stochastic processes.  We can then use this simpler limiting object to approximate what happens in the system. In particular, we show the model is completely described by its initial state and each new batch will start in a predictable, periodic way. (flyer in PDF form)

Colloquium 11/28: Brittany Falahola on “Characterizing Gorenstein Rings”

As part of the R.W. Yeagy Colloquium series, Brittany Falahola of the University of Nebraska at Lincoln will speak on Characterizing Gorenstein Rings at 12 pm (note the change from the usual time) on Monday, November 28.

Abstract: Within commutative algebra, my research focuses on a class of (local) rings called Gorenstein rings. To develop the notion of a Gorenstein ring, I will give several examples which highlight various useful characterizations of said rings, including the work I have done to characterize Gorenstein rings in the setting of prime characteristic rings. (flyer in PDF form)

Colloquium 10/24: Dr. Brandy Doleshal on “Dehn Surgery and Knots in the Genus 2 Surface”

On Monday, October 24, at 3:30 pm in Math Building 357, Dr. Brandy Doleshal will be talking about “Dehn Surgery and Knots in the Genus 2 Surface.”

Abstract: Low-dimensional topology is the study of 3- and 4-manifolds. A link is an embedding of some number of circles into a 3-manifold M. Each circle is called a component, and a link of one component is called a knot. Dehn surgery is a way of replacing a neighborhood of a component of knot or link to create a (possibly) new manifold. A classical result of Wallace and Lickorish tells us that any closed compact 3-manifold can be obtained by Dehn surgery on a link. Hence we can study 3-manifolds through studying knots and links. We will discuss some knots on the genus 2 surface and the Dehn surgeries they admit. (flyer in PDF form)

Colloquium 10/10: Dr. Robert Strader on “Computer Arithmetic”

On Monday October 10th, at 3:30 PM in Math Building 357 Dr. Robert Strader will be talking about “Computer Arithmetic.” This talk will be accessible to all levels of students and computer users.

 

Abstract: Modern computation requires fast and correct operation for applications.  The twin goals of performance and correctness are often at odds and require specialized algorithms and circuits for successful implementations.  Come join us for an overview of representational systems, algorithmic techniques, and circuit designs.  Representational methods include positional (place value system) notation in standard bases, redundant systems such as signed digit representation, and various specialized systems including irrational and logarithmic representations.  Specialized algorithms for fast addition, multiplication and division have been developed for algorithmic operation.  Extended internal systems can help to reduce errors.  Many of these systems have found encodings in circuit designs for fast operation and correct computation.   (flyer in PDF form)

Colloquium 9/12: Dr. Jackie Jensen-Vallin on “Conway Notation and Gilbreath Knots”

On Monday September 12th at 3:30 in Math Building 357, Dr. Jackie Jensen-Vallin will be giving a talk on “Conway Notation and Gilbreath Knots.” This talk will be interesting and accessible for all levels of students. (flyer in PDF form)

Abstract: A knot is an embedding of a circle in three-dimensional space. The classification question – do two projections of knots represent the same knot – is a large question in knot theory, and many invariants have been developed to address this.  We will focus our invariant discussion on the Conway notation and explore knots whose Conway notation correspond to Gilbreath sequences.  A Gilbreath sequence is a sequence of (traditionally) natural numbers a_1, a_2, a_3, …, a_n such that all subsequences  a_1, a_2, …, a_m   with m≤ n contain consecutive natural numbers. We will ask if all knots can be built from Gilbreath sequences, and consider many examples.

Colloquium 4/11: Dr. Jonathan Mitchell on “Techniques for Analyzing Nonlinear Oscillators”

Next Monday, April 11, at 3:30 in Math 357, Dr. Jonathan Mitchell will be talking about “Techniques for Analyzing Nonlinear Oscillators.”

Abstract: To the chagrin of many scientists, we live in a nonlinear world. We tend recognize patterns and formations in all sorts of contexts not the least of which is in the physical sciences. Many of the periodic motions we observe can be described using various systems of nonlinear differential equations. The aim of this talk is to highlight some of the techniques that are used to analyze such nonlinear oscillators as well as discuss some of the open questions on which we hope to shed some light in the future. (Flyer in PDF form)

Colloquium 4/4: Dr. Lesa Beverly on “The Best Kept Secret: SFA Professional Development of Mathematics Teachers”

Next Monday (April 4th) at 3:30 PM, Dr. Lesa Beverly will give a presentation titled “The Best Kept Secret: SFA Professional Development of Mathematics Teachers.”

Abstract: The Department of Mathematics and Statistics has a strong history of training mathematics teachers. In this presentation, we will explore the externally funded programs that have been a part of our departmental focus since 2000, including those that have been housed in the STEM Research and Learning Center. Successes and lessons learned from these experiences will be shared. Current projects, outreach efforts, and future opportunities will also be discussed. (flyer in PDF form)