Marc Fersztand

Contact

email:
marc.fersztand@maths.ox.ac.uk
address:
Office S3.13
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Research experience

From 2021: DPhil at Oxford Mathematical Institute
- Supervisors: Prof. Vidit Nanda and Prof. Ulrike Tillmann
2021: Msc dissertation at Oxford Mathematical Institute
- Supervisor: Prof. Vidit Nanda
- Subject: (Co)limit computations for diagrams of vector spaces (Github, pdf)
2020: Three-month long internship at Ecole Polytechnique Fédérale de Lausaunne (EPFL)
- Subject: Using Algebraic Topology to characterize shapes of neurons and glial cells
- Supervisors: Lida Kanari and Prof. Kathryn Hess Bellwald

Articles and Preprints

Harder-Narasimhan Filtrations of Persistence Modules: metric stability; 2024 (Arxiv)
Harder-Narasimhan Filtrations of Persistence Modules; with Emile Jacquard, Vidit Nanda and Ulrike Tillmann, Trans. London Math. Soc. Volume 11(1), 2024 (Article)
Harder-Narasimhan Filtrations and Zigzag Persistence; with Vidit Nanda and Ulrike Tillmann, Advances in Applied Mathematics Volume 153, 102634, 2024 (Article)

Talks and Posters

Representation theory - combinatorial aspects and applications to TDA, NTNU, 2024 (Talk)
Spires24, Oxford, 2024 (Poster)
Oxford-London TDA seminar, Oxford, 2024 (Talk)
EMG, Cambridge, 2024 (Talk)
Junior Geometry Seminar, Cambridge, 2024 (Talk)
ICIAM, Tokyo, 2023 (Poster)
TDA Week, Kyoto, 2023 (Poster)
FOCM, Paris, 2023 (Poster)
Geometry and Topology seminar, Oregon State University, 2023 (Talk)
PUDDLE Computer Science, Oxford, 2023

Education

2020-2021: MSc of Mathematics and Foundations of Computer Science at Oxford University
2021: at Oxford Mathematical Institute
2017-2020: "Diplôme d'ingénieur"(Master of science) at Ecole Polytechnique
Specialization in Theoretical Computer Science and Pure Mathematics
- Group Science Project(2018-2019): On algebraic integers all conjugates of which belong to a given compact subset of the complex plane (pdf, English version)
- 3-month-long internship(2020): An energetic method for the KdV equation (pdf in french)
2015-2017: Scientific "classes préparatoires" in Mathematics and Physics at the lycée Louis-le-Grand, Paris
- Dissertation: Frobenius numbers (pdf in french)

Teaching

Tutor
- C3.9 Computational Algebraic Topology: 2024

Teaching Assistant
- C3.1 Algebraic Topology: 2021 and 2022
- B6.3 Integer Programming: 2021 and 2023
- C3.9 Computational Algebraic Topology: 2022 and 2023