José São João

I am a mathematics doctoral student at the University of Strasbourg. I am in the Algebra, Representation, Topology (ART) team in Institut de recherche mathématique avancée (IRMA). My supervisors are Vladimir Dotsenko and Najib Idrissi.

Email: saojoao(at)unistra(dot)fr

Academic path

• Undergraduate studies was completed at the University of Johannesburg supervised by Amartya Goswami (2017-2020).
• My Master's degree was obtained from Stockholm University and KTH Royal Institute of Technology in Sweden (2021-2023). My Master's thesis, "Koszulness of Torelli Lie algebras", was supervised by Alexander Berglund.
• Before starting my PhD I held a temporary teaching position at the Department of Pure and Applied Mathematics at the University of Johannesburg (February to June 2024).

Research

My research interests are algebraic operads, homological algebra, algebraic topology and combinatorics.

Preprint

• A. Craig, M. Haviar, and J. São João, "Dual spaces of lattices and semidistributive lattices" (2025), arXiv:2509.04417.

Publication

• A. Craig, M. Haviar, and J. São João, "Dual digraphs of finite semidistributive lattices",
  CUBO, vol. 24, no. 3, pp. 369–392, Dec. 2022, DOI: https://doi.org/10.56754/0719-0646.2403.0369 .

Teaching

University of Johannesburg

• MAA00A1 - Introductory Mathematical Analysis A (2024)
• MAT3EA1 - Introduction to calculus of one variable functions (2024)