Seminar

Approximating Nonlinear Feedback Controls for Polynomial Systems

The calculation of optimal feedback controllers for nonlinear systems remains elusive since it requires the solution or approximation of the Hamilton-Jacobi-Bellman equations.  By restricting our attention to quadratic regulator problems and polynomial systems, we are able to calculate polynomial feedback laws for systems with hundreds of states.  We describe our approximation algorithm, which relies on introducing a Kronecker structure and provide examples for discretized PDEs such as Burgers, Chafee-Infante, Kuramoto-Sivashinsky, etc.

Limit shapes in the Abelian Sandpile Model

 In a series of 2-3 talks we will discuss the abelian sandpile
model (ASM for short). The ASM is a growth model in which grains of sand
are placed at the vertices of a graph, and they spread according to a
toppling rule. A site topples if its amount of sand is at least as large
as the degree of the underlying vertex, in which case it sends one grain
of sand to each neighbor.

The first talks will consist of an informal introduction to the model,

Graphs and Networks Seminar

The Graphs and Networks seminar will meet Mondays at 9:30 am via Microsoft Teams.
Greg Constantine will start by giving 3 talks on classification attempts of graphs of maximal complexity. The triangle-free strongly regular graphs -- all subgraphs of the Higman-Sims graph -- are proved to be instances of such graphs of maximal complexity. A series of conjectures and some stubborn research issues will be brought to attention.

Jon Rubin will then give several talks on networks. Sevak Mkrtchyan will also present a series of talks.

Graphs of maximal complexity

The Graphs and Networks seminar will meet Mondays at 9:30 am via Microsoft Teams.
Greg Constantine will start by giving 3 talks on classification attempts of graphs of maximal complexity. The triangle-free strongly regular graphs -- all subgraphs of the Higman-Sims graph -- are proved to be instances of such graphs of maximal complexity. A series of conjectures and some stubborn research issues will be brought to attention.

Jon Rubin will then give several talks on networks. Sevak Mkrtchyan will also present a series of talks.

TBA

Starting in 2021, the University of Pittsburgh AWM Chapter hosts the Pitt AWM Student Seminar Series, held on the first Fridays of each month at 4:45pm. Every meeting features two 30 minute long talks by female PhD students, each presenting the speaker's research outcomes. Our seminar is hoped to give a platform to female students-researchers, to promote the spirit of collegiality and collaboration, and to recognize the hard work of students during this pandemic time.

 

The Construction and Interpretation of Pollination Resource Complexes

Starting in 2021, the University of Pittsburgh AWM Chapter hosts the Pitt AWM Student Seminar Series, held on the first Fridays of each month at 4:45pm. Every meeting features two 30 minute long talks by female PhD students, each presenting the speaker's research outcomes. Our seminar is hoped to give a platform to female students-researchers, to promote the spirit of collegiality and collaboration, and to recognize the hard work of students during this pandemic time.

 

Effect of cross-immunity in a multi-scale cholera model

Starting in 2021, the University of Pittsburgh AWM Chapter hosts the Pitt AWM Student Seminar Series, held on the first Fridays of each month at 4:45pm. Every meeting features two 30 minute long talks by female PhD students, each presenting the speaker's research outcomes. Our seminar is hoped to give a platform to female students-researchers, to promote the spirit of collegiality and collaboration, and to recognize the hard work of students during this pandemic time.

 

An optimal mass transport method for random genetic drift problem

Starting in 2021, the University of Pittsburgh AWM Chapter hosts the Pitt AWM Student Seminar Series, held on the first Fridays of each month at 4:45pm. Every meeting features two 30 minute long talks by female PhD students, each presenting the speaker's research outcomes. Our seminar is hoped to give a platform to female students-researchers, to promote the spirit of collegiality and collaboration, and to recognize the hard work of students during this pandemic time.

 

K-Spectral Sets

Starting in 2021, the University of Pittsburgh AWM Chapter hosts the Pitt AWM Student Seminar Series, held on the first Fridays of each month at 4:45pm. Every meeting features two 30 minute long talks by female PhD students, each presenting the speaker's research outcomes. Our seminar is hoped to give a platform to female students-researchers, to promote the spirit of collegiality and collaboration, and to recognize the hard work of students during this pandemic time.