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.
During my undergraduate, I worked on improving and automating treatment planning for external beam radiotherapy.
In the first part of my PhD, I have 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, I aim to generalize the theory of optimal magnet design to accommodate arbitrarily complex external magnetic fields. This solves the fundamental problem of integrating the MRI and the LINAC together, enabling more flexible designs of MRI-LINACs for better radiotherapy planning.
I also study how geometric intersection graphs can be used to strengthen set-packing constraints. These graphs appear in many classical problems in Operations Research—including magnet design. But the literature has been mostly ignoring the geometrical counterpart of such graphs. What properties can we derive from them?
Looking ahead to the rest of my PhD, I will be exploring the connections between inverse optimization, robust optimization, and MDPs.
