Organisers:
Lesley Ward (University of South Australia)
Greg Markowsky (Monash University)
Scott McCue (Queensland University of Technology)
Christopher Lustri (University of Sydney)
Ines Aniceto (University of Southampton, UK)
Arunmaran Mahenthiram (University of Jaffna, Sri Lanka)

Program Description:

Complex analysis provides an array of powerful analytical and computational tools to study problems in applied mathematics. For example, many models from physics that employ partial differential equations
can be analysed using tools such as transform theory, conformal mapping and asymptotic methods, all of which are underpinned by complex analysis. Another relevant example comes from the beautiful connection between planar Brownian motion and complex analysis. To be specific, a holomorphic map applied to a Brownian motion yields a new stochastic process which can be realized as a time-changed Brownian motion. This connection can be used to motivate and provide proofs of many of the major results in complex analysis; conversely, this conformal invariance can also be used to prove many interesting results on planar Brownian motion via complex analytic techniques.

This program is intended to be the first of its type, a one-week MATRIX program devoted to research in applied and computational complex analysis. In this short intensive workshop, mathematicians from across the globe will come together to work on open problems in the field. While the organisers have in mind broad applications in differential equations and Brownian motion, the goal is to bring together a variety of researchers with expertise in applied and computational complex analysis and to explore deep connections between different topics in the field. The majority of the time will be allocated to collaborative research, and will also feature a number of talks describing recent advances. The goal is to create an environment where mathematicians at all career stages work side-by-side. We anticipate that open problems will be solved, and lasting collaborations will be initiated.

Program Structure:
TBD

Registration:

• Deadline: TBD
• Registration is by invitation only. If you are interested to participate in this program, please contact one of the organisers with your CV and research background.
• Arrival date: 23 August 2026

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 25 August 2026
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.