News

• May, 2024: Australian Mathematical Sciences Institute very kindly interviewed me for their latest newsletter.  They asked me my advice for year 12 students who are considering skipping calculus, and my thoughts on the future of mathematics in a tech-evolving society.

• April, 2024: "The ADMM algorithm for audio signal recovery and performance modification with the dual Douglas–Rachford dynamical system" is accepted in AIMS Mathematics. Congratulations to Andrew Calcan on a great first paper! Open access version here.

• March, 2024: the article "Optimal error bounds in the absence of constraint qualifications with applications to the p-cones and beyond" has been accepted in Mathematics of Operations Research. Full text available here.

• December, 2023: the article "Generalized power cones: optimal error bounds and automorphisms" has been accepted in SIAM Journal on Optimization. Full text available here.

• Updated: the recording of my VA & Opt seminar has been re-posted..

• Stephen Arnold at Compass Learning Technologies has put together an excellent tutorial page and video for understanding the general base continued logarithm dynamical systems Jon Borwein, Neil Calkin, Andrew Mattingly, and I introduced. They are a very nice resource for anyone interested in exploring this area.

About Me

I am a mathematician at Centre for Optimisation and Decision Science. I use variational analysis and computational tools to study problems in nonlinear optimisation from a geometric standpoint. I work on splitting methods in particular, with applications including machine learning, data science, and inverse problems (i.e. signal recovery). I also develop forward error bound architecture for conic-linear programming. Error bounds are essentially accuracy guarantees for the conic-linear problem formulations employed in tools like CVX, Alfonso, Mosek, Hypatia, etc. 

I use modern computational tools to build models of problems, and experimental techniques to analyse them, a methodology I described in a recent book chapter. Images of these models have received various accolades; some are featured on the gallery page. Because I am a visual learner, I am also a very visual teacher. I employ many pictures in my research, as well as in the classroom. I currently have projects available that are suitable for undergraduates and graduates alike. If you are interested in working with me, then you can e-mail me or talk to me at a meeting of the Mathematical Sciences Club, for which I currently serve as faculty adviser.

I earned an M.S. in mathematics at Portland State University, followed by a PhD at the Computer-Assisted Research Mathematics and its Applications Priority Research Centre at University of Newcastle. This centre was founded by my adviser, Jonathan Borwein, who invited me to come to Australia to work with him, and passed away in 2016. Following completion of my PhD, I was a postdoctoral fellow at Hong Kong Polytechnic University for two and a half years.