CV

PhD candidate in Applied Mathematics at École Polytechnique — education, experience, and conferences.

Contact Information

Name Margherita Castellano
Professional Title PhD Candidate in Applied Mathematics
Email margherita.castellano@polytechnique.edu
Location CMAP, École Polytechnique, Palaiseau, Île-de-France 91120

Professional Summary

PhD candidate in Applied Mathematics at École Polytechnique (Paris), working on numerical modeling and simulation of complex systems (PDEs). Interested in applying quantitative and analytical skills to real-world problems.

Experience

  • 2023 - 2026

    Palaiseau, France

    PhD candidate
    CMAP, École Polytechnique
    • Mathematical modeling of multiphysics systems (Cahn-Hilliard-Navier-Stokes)
    • Development of numerical methods and simulations (finite volume methods)
    • Analysis of simulation results and model behavior
  • 2023 - 2026

    Palaiseau, France

    Teaching assistant
    École Polytechnique
    Teaching assistant for undergraduate and master’s students.
    • 2023-2025: Statistics with R - Master 1 students, X-HEC
    • 2024-2025: Preparatory training in applied mathematics - Bachelor 3 students, X
    • 2025: Introduction to numerical analysis - Bachelor 2 students, X
  • 2025 - 2025

    La Rochelle, France

    Participant, Mathematics for industry week
    SEMES, La Rochelle
    • One-week analysis of an industry-driven problem
    • Modeling of the ocean propagation of CO2 particles
  • 2023 - 2023

    Palaiseau, France

    Intern
    CMAP, École Polytechnique
    • Finite volume discretization of the Cahn-Hilliard equation
    • Python simulations and numerical analysis
  • 2022 - 2022

    Paris, France

    Intern
    INRIA Paris
    • PDE modeling of electrostatic effects in Micro-Electrode Arrays
    • Numerical simulations and result analysis
  • 2021 - 2021

    Twente, Netherlands

    Participant
    ECIU Challenge, University of Twente
    • Worked on a project on predictive analysis in healthcare
    • Explored how data-driven approaches can reduce costs and improve care quality
    • Collaborated with an academic and industry team
  • 2018 - 2019

    Bordeaux, France

    Academic tutor
    University of Bordeaux
    • Revision classes for first-year Bachelor students

Education

  • 2021 - 2023

    Paris, France

    Master's degree
    Sorbonne University
    Applied Mathematics (mathematical modeling)
    • Partial Differential Equations and Numerical Analysis (2nd year specialization)
  • 2020 - 2021

    Trento, Italy

    Master's degree (1st year)
    University of Trento
    Mathematics for Life and Social Sciences
    • Track: Modeling and Analysis of Biosystems
  • 2019 - 2020

    Berkeley, California, US

    Exchange program
    University of California, Berkeley
    Applied Mathematics (exchange program, 3rd year of bachelor's degree)
  • 2017 - 2020

    Bordeaux, France

    Bachelor's degree
    University of Bordeaux
    Applied Mathematics and Computer Science (IT and Mathematics applied to Social and Human Science - Economics track)
  • 2014 - 2017

    Brussels, Belgium

    European Baccalaureate
    European School of Brussels
    IT and Mathematics

Conferences

  • CANUM26 numerical analysis congress — Presentation — June 2026, Saint-Jacut-de-la-Mer, France
  • PDEs’ day — Poster — June 2025
  • SMAI25 congress of industrial and applied mathematics — Presentation — June 2025, Carcans-Maubuisson, France
  • CJC en mathématiques appliquées — Presentation — October 2024, ENS de Lyon, France
  • NAPDE conference (New trends in Numerical Analysis of PDEs) — Poster — June 2024, Villeneuve d’Ascq, France
  • CANUM numerical analysis national congress — Presentation — May 2024, Île de Ré, France
  • Fluid mechanics conference, Institut Henri Poincaré — January 2024, Paris, France
  • FVCA conference (Finite Volumes for Complex Applications) — November 2023, Strasbourg, France
  • Journées scientifiques 2023, GdR MaNu — October 2023, Le Croisic, France
  • Frontiers in Molecular Biology, SIBBM — Poster — June 2021, online

Projects

  • National finalist, MT180 (Ma thèse en 180 secondes)

    Three-minute presentation of my PhD thesis to a general audience.

  • Organizer of PhD seminars at CMAP

Skills

Python (Advanced): Scientific computing, numerical simulations
R (Advanced): Statistical analysis
FreeFem++ (Intermediate): PDE simulations

Languages

Italian : Native speaker
French : Near native / fluent (C2 level)
English : Fluent (92/120 TOEFL iBT)