Lucas M. Moschen
PhD Student at Imperial College London
London, UK

Curious and passionate mathematician
Aspiring scientist
Science fiction fan
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
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Announcements
Mar 20, 2025 | Two of my papers, co-authored with collaborators, are now available on arXiv! You can find this one featuring theoretical results from my master’s thesis and this one presenting my first work on PDE-constrained optimization. |
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Oct 1, 2024 | That’s my first day at Imperial College London! I am very excited about the future here! |
Sep 16, 2024 | Porto de Galinhas (Pernambuco) will be hosting the National Congress on Computational and Applied Mathematics this week and I think it will be a great event! I will be presenting a the results of my paper with M. S. Aronna. |
Jul 1, 2024 | I will be participating at the Summer School Collective behavior and Pattern formation at the beautiful Marseille, France. CIRM is hosting this event and has granted me all the financial support. I will present a poster about my project on mosquito dynamics and control. |
Apr 29, 2024 | I have been selected to participate in “SBMAC Jovem,” a work group of math students within the Brazilian Society of Applied and Computational Mathematics. My goal is to share content from the Society on the TikTok platform. |