- You are here:
- GT Home
- Home
- News & Events

Series: Research Horizons Seminar

Series: Research Horizons Seminar

Taffy pullers are machines designed to stretch taffy. They can modeled
by surface homeomorphisms, therefore they can be studied by geometry and
topology. I will talk about how efficiency of taffy pullers can be
defined mathematically and what
some of the open questions are. I will also talk about Macaw, a computer
program I am working on, which does related computations and which will
hopefully help answer some of the open questions.

Series: Research Horizons Seminar

Series: Research Horizons Seminar

An academic webpage allows you to better communicate your work and help you become more recognizable in your research community. We'll talk about the very basics of how to set one up and what you should put on it----no prior experience necessary! Please bring a laptop if you can---as usual, refreshments will be provided.

Series: Research Horizons Seminar

Antibiotics have greatly reduced morbidity and mortality from
infectious diseases. Although antibiotic resistance is not a new
problem, it breadth now constitutes asignificant threat to human health.
One strategy to help combat resistance is to find novel
ways of using obsolete antibiotics. For strains of E. coli and P.
aeruginosa, pairs of antibiotics have been found where evolution of
resistance to one increases, sometimes significantly, sensitivity to the
other. These researchers
have proposed cycling such
pairs to treat infections. Similar strategies are being investigated to
treat cancer. Using systems of ODEs, we model several possible treatment
protocols using pairs and triples of such antibiotics, and investigate
the speed of ascent of multiply resistant
mutants. Rapid ascent would doom this strategy. This is joint work with
Klas Udekwu (Stockholm University).

Series: Research Horizons Seminar

SPORT
is a 12-week *PAID* summer internship offered by the National Security
Agency (NSA) that provides 8 U.S. Citizen graduate students the
opportunity to apply their technical skills to current, real-world
operations research problems at the NSA. SPORT
looks for strong students in operations research, applied math,
computer science, data science, industrial and systems engineering, and
other related fields.
Program Highlights:
-- Paid internship (12 weeks, late May to mid-August 2018)
-- Applications accepted September 1 - October 31, 2017
-- Opportunity to apply operations research, mathematics, statistics, computer science, and/or engineering skills
-- Real NSA mission problems
-- Paid annual and sick leave, housing available, most travel costs covered
-- Flexible work schedule
-- Opportunity to network with other Intelligence Agencies

Series: Research Horizons Seminar

In Fall 2017 I will teach `Random Discrete Structures', which is an advanced course in discrete probability and probabilistic combinatorics. The goal of this informal lecture is to give a brief outline of the topics we intend to cover in this course. Buzz-words include Algorithmic Local Locasz Lemma, Concentration Inequalities, Differential Equation Method, Interpolation method and Advanced Second Moment Method.

Series: Research Horizons Seminar

Defined in the early 2000's by Ozsvath and Szabo,
Heegaard Floer homology is a package of invariants for three-manifolds,
as well as knots inside of them. In this talk, we will describe how work
from Poul Heegaard's 1898 PhD thesis,
namely the idea of a Heegaard splitting, relates to the definition of
this invariant. We will also provide examples of the kinds of questions
that Heegaard Floer homology can answer. These ideas will be the subject
of the topics course that I am teaching in
Fall 2017.

Series: Research Horizons Seminar

I
will continue the discussion on the group actions of the graph Jacobian
on the set of spanning trees. After reviewing the basic definitions, I
will explain how polyhedral geometry leads to a new family of such
actions.
These actions can be described combinatorially, but proving that they
are simply transitive uses geometry in an essential way. If time
permits, I will also explain the following surprising connection: the
canonical group action for a plane graph (via rotor-routing
or Bernardi process) is related to the canonical tropical geometric
structure of its dual graph. This is joint work with Spencer Backman and
Matt Baker.

Series: Research Horizons Seminar

Every graph G has canonically associated to a finite abelian group called the Jacobian group. The cardinality of this group is the number of spanning trees in G. If G is planar, the Jacobian group admits a natural simply transitive action on the set of spanning trees. More generally, for any graph G one can define a whole family of (non-canonical) simply transitive group actions. The analysis of such group actions involves ideas from tropical geometry. Part of this talk is based on joint work with Yao Wang, and part is based on joint work with Spencer Backman and Chi Ho Yuen.