CV

Ph.D. in Mathematics

Imperial College London, London (UK)

• Supervisors: Grigorios A. Pavliotis and Dante Kalise.
• Research focus: control and stabilisation of probability distributions, Wasserstein gradient flows, and interacting particle systems.

MSc in Mathematics of Modelling

Sorbonne University, Laboratoire Jacques-Louis Lions - Paris (France)

• Supervisors Camille Coron and Luis Almeida
• Memoire "Modeling and Control of Mosquito Populations, From Stochastic Processes to Reinforcement Learning"
• Research Focus Analysis and control of stochastic models for mosquito populations.

MSc in Mathematical Modelling

Fundação Getulio Vargas, School of Applied Mathematics - Rio de Janeiro (Brazil)

• Supervisor María Soledad Aronna
• Master's Thesis "Optimal vaccination strategies for epidemics in metropolitan areas"
• Research Focus Optimal control of constrained affine systems, applied to epidemic dynamics in networks of cities.

BSc in Applied Mathematics

Fundação Getulio Vargas, School of Applied Mathematics - Rio de Janeiro (Brazil)

• Supervisor Luiz Max Carvalho
• Bachelor Dissertation "Prevalence estimation and binary regression methods for respondent-driven sampling with outcome uncertainty"
• Research Focus Bayesian methods for prevalence estimation under partial graph observation.

Control of Probability Distributions and Interacting Systems

Imperial College London

• Supervised by Grigorios A. Pavliotis and Dante Kalise.
• Completed research
  • Control and stabilisation of probability distributions — spectral optimal control, feedback stabilisation, and local convexification; three related papers listed below.
• Current projects
  • Feedback control of mean-field systems — coupled populations, partial actuation, and unbounded domains.
  • Feedback control for sampling — particle implementations and the computational cost of approaching target distributions.
  • Control and Effective Dynamics — reduced feedback design through reaction coordinates and the effect of model-reduction errors.

Research Visit

CERMICS, Paris, France

• Visited Urbain Vaes to develop research directions related to my PhD.

Control and Stochastic Modeling in Biology

Sorbonne University

• Developed models for mosquito population control using reinforcement learning.
• Supervised by Luis Almeida and Camille Coron.

Optimal Control in Epidemiology

FGV

• Investigated optimal vaccination strategies across connected populations, supervised by Maria Soledad Aronna.
• Epidemics in networks — master’s dissertation followed by papers in Infectious Disease Modelling (2024) and IEEE Control Systems Letters (2025), covering commuting networks, vaccination constraints, and bang-bang policies.

Statistical Inference and Bayesian Methods

Fundação Getulio Vargas (FGV)

• Modelling correlated proportions — classical and Bayesian inference, prior elicitation, and model diagnostics with Luiz Max Carvalho.
• Compared bivariate beta and logistic-normal models, with applications to vaccination coverage and diagnostic-test data. Published in TEST (2026).

Early Research & Scientific Initiation

Fundação Getulio Vargas & IMPA

• Undergraduate research on optimal control in biological models (supervised by Maria Soledad Aronna).
• Junior Scientific Initiation at IMPA (2014-2017).
• Co-authored early papers on optimal control and epidemiology.

Modelling correlated proportion data: Bayesian and classical approaches to inference and diagnostics

Lucas Machado Moschen and Luiz Max Carvalho

• TEST (2026). Link to the accepted manuscript.
• An earlier version appeared as Bivariate beta distribution: parameter inference and diagnostics.

Linearization-Based Feedback Stabilization of McKean-Vlasov PDEs

Dante Kalise, Lucas M. Moschen, and Grigorios A. Pavliotis

• Accepted for publication in SIAM Journal on Control and Optimization (SICON). Preprint first posted in 2025.

Feedback Control and Local Convexification of Wasserstein Gradient Flows

Dante Kalise, Lucas M. Moschen, and Grigorios A. Pavliotis

• arXiv preprint.

Bang-Bang Optimal Control of Vaccination in Metapopulation Epidemics with Linear Cost Structures

Lucas M. Moschen and M. Soledad Aronna

• IEEE Control Systems Letters 9, 492–497 (2025). Link to the arXiv version.

A Spectral Approach to Optimal Control of the Fokker-Planck Equation

Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis, and Urbain Vaes

• IEEE Control Systems Letters 9, 504–509 (2025). Link to the arXiv version.

Optimal vaccination strategies on networks and in metropolitan areas

M. Soledad Aronna and Lucas Machado Moschen

• Infectious Disease Modelling 9(4), 1198-1222 (2024). Link to the arXiv version.

Estimate of the rate of unreported COVID-19 cases during the first outbreak in Rio de Janeiro

Maria Soledad Aronna, Roberto Guglielmi, and Lucas Machado Moschen

• Infectious Disease Modelling 7(3), 317-332 (2022).

A model for COVID-19 with isolation, quarantine and testing as control measures

M. Soledad Aronna, Roberto Guglielmi, and Lucas Machado Moschen

• Epidemics 34, 100437 (2021).

Graduate Teaching Assistant / Senior GTA

Imperial College London

• Linear Algebra and Groups — Fall 2024 and Winter 2026 (BSc level); Senior GTA in Winter 2026.
• Optimisation and Decision Models — Winter 2026.
• Analysis I — Fall 2024 and Winter 2025 (BSc level).

Teaching Assistant

Fundação Getulio Vargas, School of Applied Mathematics

• Graduate level (Ph.D. and MSc)
  • Partial Differential Equations and Applications (2023), Probability (2023), Functional Analysis (2022), Statistical Inference (2022), Bayesian Statistics (2022)
• BSc level
  • Partial Differential Equations (2021, 2022), Curves and Surfaces (2021, 2022), Introduction to Numerical Analysis (2021), Statistical Inference (2020), Ordinary Differential Equations (2020), Linear Algebra (2019)

Volunteer Algebra Teacher

Project Elos Educação - Rio de Janeiro (Brazil)

• Prepared students for high school entrance exams.

• Best poster presentation for the work on COVID-19 mathematical modelling at the Latin American Congress on Industrial and Applied Mathematics;
• Best poster presentation for the work on COVID-19 mathematical modelling at the IX Congreso de Matemática Aplicada, Computacional e Industrial;

• Scientific Initiation Award SBMAC (3rd place) for my Bachelor's Dissertation

• Academic Excellence with the highest final grade in the BSc course.

• Two gold, one silver and two bronze medals in the Brazilian Mathematical Olympiad of Public Schools;

Academic & Professional Societies

• SBMAC Jovem Member, Brazilian Society of Computational and Applied Mathematics - Supporting content dissemination on social media.
• SIAM Student Chapter Member - Organizing academic events and outreach activities.
• Department Representative at Imperial College London.

Academic Representation & Conference Organization

• Member of the Local Committee for the Latin American Congress on Industrial and Applied Mathematics (LACIAM 2023).
• Representative of graduate students on the School of Applied Mathematics (FGV) Board.

Community & Student Leadership

• Vice-President of the Student Association, School of Applied Mathematics, FGV.
• Volunteer at the Elos Educação project, Rio de Janeiro, Brazil (2019) - Providing educational support for students.

2026

• SCINDIS 2026 (Bayreuth, Germany, 30 September-2 October) — upcoming poster presentation.
• 2nd Joint Meeting Brazil-Italy in Mathematics (Messina, Italy, 7 September) — oral presentation, Feedback Control and Local Convexification of Wasserstein Gradient Flows.
• Numerical methods for Hamilton-Jacobi and mean-field PDEs (ICMS, Edinburgh, Scotland, 1-4 September) — participation.
• LAWOC 2026 (Rio de Janeiro, Brazil, 30 July) — oral presentation, On the Stabilisation of Interacting Particle Systems and its Connection to Energy Convexification.
• SciCADE 2026 (Edinburgh, Scotland, 29 June) — oral presentation in New Ideas in Molecular Dynamics, A Feedback-Control Perspective on Sampling for Langevin and McKean-Vlasov Dynamics.
• COML 2026: NextGen Synergy: Control Theory & Machine Learning (Prague, Czech Republic, 29 April) — oral presentation, On the Local Stabilisation of Interacting Particle Systems and its Connection to Energy Convexification.
• LACIAM 2026 (Valparaíso, Chile, 20 January) — oral presentation, Feedback Control of Mean-Field PDEs: The McKean-Vlasov Equation.

2025

• 64th IEEE Conference on Decision and Control (Rio de Janeiro, Brazil, 10-12 December) — two oral presentations: A Spectral Approach to Optimal Control of the Fokker-Planck Equation (10 December) and Optimal Control of Vaccination in Metapopulation Epidemics (12 December).
• PGMODays 2025 (Palaiseau, France, 18 November) — oral presentation, Optimal Control and Stabilisation of Fokker-Planck and McKean-Vlasov Equations.
• 44th National Congress on Computational and Applied Mathematics (Rio de Janeiro, Brazil, 18 September) — poster presentation, Control strategies for the McKean-Vlasov equation.
• 16th Viennese Conference on Optimal Control and Dynamic Games (Vienna, Austria, 17 July) — oral presentation, Feedback stabilization for the McKean-Vlasov equation.
• Mary Lister McCammon Summer Research Fellowship (London, UK, July) — seminar presentation, The Art of Controlling.
• Numerical Analysis of PDEs, Optimization and UQ: A MAC-MIGS Summer School (Edinburgh, Scotland, June) — poster presentation, Steering Probability Distributions with Optimal Control.
• StatML Spring School on Computational Optimal Control and Missing Values (Windsor, UK, April) — poster presentation, Steering Probability Distributions via PDE-Constrained Optimisation.
• EECI Spring School on Dissipativity in Optimal Control - Turnpikes, Predictive Control, and Uncertainty (Bures-sur-Yvette, France) - Organized by EECI.

2024

• Summer School on Collective Behavior and Pattern Formation (Marseille, France) - Organized by CIRM, with all costs covered; poster presentation.
• XLIII National Congress of Applied and Computational Mathematics (Porto de Galinhas, Brazil); poster presentation.

2023

• PGMODays 2023 (Palaiseau, France) - Oral presentation "Optimal Vaccination Strategies in Metropolitan Areas", organized by Hadamard Foundation.
• 10th Heidelberg Laureate Forum (Heidelberg, Germany) - Participant, funded by Klaus Tschira Stiftung.
• 34th Brazilian Mathematics Colloquium (Rio de Janeiro, Brazil) - Poster presentation "Optimal Vaccination Strategies in Interconnected Metropolitan Areas", organized by IMPA.
• IX Congreso de Matemática Aplicada, Computacional e Industrial (Santa Fé, Argentina) - Poster presentation "Mathematical Modeling of COVID-19 and Analysis of Rio de Janeiro's Outbreak in 2020", organized by ASAMACI.
• Latin American Congress on Industrial and Applied Mathematics (Rio de Janeiro, Brazil) - Poster presentation "Mathematical Modeling of COVID-19 and Analysis of Rio de Janeiro's Outbreak in 2020", organized by FGV EMAp and SBMAC.

2022

• V Mathematical Colloquium of the Southern Region (online) - Poster presentation "Parameter Estimation of a Bivariate Beta Distribution".

2021

• XL National Congress of Applied and Computational Mathematics (online) - Participant, organized by SBMAC.
• XXXIII Brazilian Mathematics Colloquium (online) - Participant, organized by IMPA.

2020

• II Fluminense Meeting of Women in Biomathematics (online) - Poster presentation "A Model for COVID-19 with Isolation, Quarantine, and Testing".

2019

• XXXII Brazilian Mathematics Colloquium (Rio de Janeiro, Brazil) - Participant, organized by IMPA.

2018

• III Brazilian Congress of Young Researchers in Pure and Applied Mathematics and Statistics (Curitiba, Brazil) - Participant, organized by Federal University of Paraná.