Theory and Applications of Stable Polynomials

Joy Lukman

  • 14 Mar 2022 - 18 Mar 2022
    8:00 am - 5:00 pm

James Saunderson (Monash University)
Ngoc Mai Tran (University of Texas)

Program Description:
In the last five years, stable polynomials have emerged as a novel toolkit capable of solving many long-standing open questions in algebra, matroid theory, optimisation, interacting particle systems and economics. They are the driving force behind solutions to the Kadison-Singer conjecture and Mason’s log-concavity conjecture. They play a fundamental role in negative dependence sampling, a new optimisation technique that forms the backbone of recommendation systems (such as YouTube or Netflix), and have led to new understandings of interacting particle systems and auction theory.

This research program aims to bring together top international experts and Australian researchers to work on novel applications. It is expected to increase communication and collaboration between researchers working in different areas with related techniques. It is designed to introduce
early-career researchers to these tools and their recent successful applications in, and to seed
collaborative projects among participants at all career stages.

Program Structure:


  • Deadline: 14 January 2022
  • Registration is by invitation only. If you are interested to participate in this research program, please contact one of the organisers with your CV and research background.

MATRIX Wine and Cheese Afternoon 15 March 2022
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.