Theory and Applications of Stable Polynomials

David Wood

  •  29 Aug 2022 - 2 Sep 2022
     8:00 am - 5:00 pm

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

Program Description:
In recent years, stable polynomials (and the related class of Lorentzian 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 technique applied in recommender systems, 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 but using related techniques. It is designed to introduce early-career researchers to these tools and their recent successful applications, and to seed collaborative projects among participants at all career stages.

Program Structure:
Time is listed in Melbourne time (AEST)

Participant list:
Jonathan Leake (University of Waterloo)
Jacob Matherne (University of Bonn/Max Planck Institute for Mathematics)
Brian Ng (Monash University)
Vera Roshchina (University of New South Wales)
James Saunderson (Monash University)
Cynthia Vinzant (University of Washington)
Jayden Wang (University of Texas, Austin)
Minh Dao (Federation University)
Graham Farr (Monash University)
Kerri Morgan (Deakin University)
Sebastian Avila Molina (University of New South Wales)
Norm Do (Monash University)

MATRIX Wine and Cheese Afternoon 30 August 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.