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. More recently, my research has focused on two seemingly distinct areas that are surprisingly connected: magnet design and computational geometry.

Working with Prof. Teodor Stanescu at the Princess Margaret Cancer Centre, my first project aims to generalize the theory of optimal magnet design to accommodate arbitrarily complex external magnetic fields. This would make it possible, for the first time, to design magnets optimally for MRI-LINAC systems and provide the foundation for a proof-of-concept of a new MRI-LINAC design.

My second project involves strengthening set-packing constraints from geometric intersection graphs. These graphs appear in many classical problems in Operations Research—including magnet design—but the literature has only studied interval intersection graphs to strengthen set-packing constraints. What about rectangles, disks, and more weird shapes?

As a side project, 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!