Lucas M. Moschen

I am a PhD researcher in Mathematics at Imperial College London, specializing in Optimization, Control Theory, and Partial Differential Equations. My research focuses on PDE-constrained optimization, particularly developing control methods for the McKean-Vlasov and Fokker-Planck equations or other PDE models that arise from diffusion processes, with applications in physics, social sciences, and biology.

I am currently funded by the Roth PhD Scholarship under the CNRS-Imperial Joint Program, and have received previous academic awards, including the PGSM Master Scholarship, the PICME Scholarship, and support from the CDMC Talent Program during my academic journey

My enthusiasm for mathematics initiated early on, earning my first recognition at the Brazilian Mathematical Olympiad of Public Schools (OBMEP), where I was exposed to a junior scientific initiation program (PIC) focused on algebra, number theory and geometry.

During my academic journey, I have had the privilege of working with all my supervisors on diverse topics in optimal control, epidemiology, PDE, and statistics, with a focus on improving methods in Applied Mathematics.

Academic Background

• PhD in Mathematics (Ongoing)
  • Scholarship from the CNRS-Imperial joint program
  • Research on control and optimization of PDEs
  • Supervised by Greg Pavliotis and Dante Kalise at the Department of Mathematics
• Master’s in Applied Mathematics – Sorbonne University, Laboratoire Jacques Louis Lions, France
  • Scholarship from Fondation Sciences Mathématiques de Paris (FSMP)
  • Research on stochastic models for mosquito population dynamics and control
  • Supervised by Camille Coron and Luis Almeida at AgroParisTech
• Master’s in Applied Mathematics – Fundação Getulio Vargas (FGV), Brazil
  • Research on optimal vaccination strategies for epidemics in metropolitan areas
  • Supervised by Maria Soledad Aronna
• Bachelor’s in Applied Mathematics – Fundação Getulio Vargas (FGV), Brazil
  • Research on prevalence estimation in hard-to-reach populations with imperfect diagnostic tests
  • Awarded by the Brazilian Society of Applied Mathematics (SBMAC)
  • Participant in the project Scientific Initiation and Master’s Program (PICME)
  • Supervised by Prof. Luiz Max Carvalho

Research Interests

• Optimal Control Theory
• PDE-Constrained Optimization
• Mathematical Modeling in Biology & Epidemiology
• Data Science & Computational Methods

For Older News, check here.