Colloquia, Conferences, Seminars & Events

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The math of swarming robots, superconductors, and slime mold

Monday, June 26, 5:30 pm

Hatlen Theater

Abstract: Systems of interacting agents arise throughout the natural world and are studied in such varied disciplines as engineering, physics, and biology. What is the optimal way for a swarm of robotic bees to pollinate a bed of crops? How can we use vortex motion in superconductors to develop new technologies for renewable energy? How does a colony of slime mold communicate using chemical signals? Prof. Katy Craig will describe the mathematics underlying systems of interacting agents and how such systems can be analyzed using an age old scientific technique: what happens if we poke it?
  1. GRIT Talk

Congratulations Nathan Schley - 2017 GSA Excellence in Teaching Award recipient!  The Graduate Student Association (GSA) Excellence in Teaching Award recognizes graduate students who have shown excellence and gone above and beyond as teachers at UC Santa Barbara.  Nathan has distinguished himself among the more than 200 graduate students nominated from all campus departments, and we are delighted to claim him as our very own!  Thank you, Nathan, for sharing your talents with so many Mathematics students.  Congratulations!

  1. Award
  2. GSA
  3. teaching
Time: Monday, June 5, 2:00 pm
 
Title: Fluvial Landscapes: The Next Generation
 
Location: South Hall 6635
 
The Smith and Bretherton model is a family of partial differential equations that model the transport-limited case of erosion. With the use of appropriate numerical schemes, simulations of these equations contain large and small scale dynamics crucial to the validity of the model. Even with modern processing power and parallelism, these simulations take a significantly long time to run. In this talk I will discuss these necessary scaling dynamics, the numerical schemes used to simulate these equations, some minor changes that were made to the numerics to accelerate computations, methods to "artificially" generate these eroded surfaces, and how these artificial surfaces altered our understanding of the small scale dynamics.
  1. SIAM
  2. seminar
  3. erosion
  4. PhD defense

Time: Monday, May 15, 2:00 pm

Title: Towards an Atomistic Theory of Heat

Location: South Hall 6635

At the macroscopic scales it intuitively makes sense to talk about the temperature at a point, but when one zooms into the scale of individual atoms, the definition of local temperature breaks down. In this talk I will discuss my research in collaboration of Carlos and Xiantao Li at Penn State where we attempt to define and model temperature at the atomistic level.

  1. seminar
  2. student
  3. temperature

Time: Thursday, April 13, 3:30 - 4:30 PM

Location: Souith Hall 6635

Title: Modeling Populations of Adaptive Individuals

"...How do we model a population of individuals that all make tradeoff decisions, when the options and payoffs available to each individual depends on the behavior of all the other individuals? We have explored one solution, which is to model individual decisions as approximations, based explicitly on simple predictions, that produce good but not optimal behavior and are updated routinely as the world changes."

  1. colloquium
  2. ecology
  3. population dynamics

Colloquia, Conferences, and Seminars