About me

I am PhD student in Operations Research at the University of Toronto supervised by Prof. Timothy C.Y. Chan. I hold a BSc (Hons) in Applied Mathematics from the Institute of Mathematics, Statistics and Scientific Computing of the University of Campinas. My interests lie in both methodological aspects of mathematical optimization and its applications in healthcare.

In the past, I have worked on improving and automating treatment planning for external beam radiotherapy. Currently, I am interested in two very distinct problems: magnet design and 2D polygon packing!

The first involves generalizing the theory of magnet design to accommodate arbitrarily complex magnetic fields. This would make it possible, for the first time, to design magnets optimally for MRI-LINAC systems. In the second project, which is still a work in progress, I am working on generalizing optimal polygon packing to concave polygons and to different polygons in the same container. I am also trying to improve the tractability of this non-convex problem in order to prove the optimality of famous packings!

Erich Friedman’s page contains many examples of packings, including the well-known Square Packing—take a look!