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• Postdoctoral research assistant at the Institute of Mathematics, Physics and Mechanics

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• Postdoctoral student in the Inria project team Picube, within the department PPS of IRIF, a research laboratory of the CNRS and Université Paris Cité

Funding: the FSMP and Inria
Host: Pierre-Louis Curien

Doctorat en Mathématiques

• Thesis defended on 13 April 2023

Funding: laureate of the COFUND MathInParis PhD fellowship program (the European Union’s Horizon 2020 research and innovation programme under a Marie Skłodowska-Curie grant)
University: Université Paris Cité
Laboratory: Institut de Recherche en Informatique Fondamentale (IRIF)
Teams: πr² (Inria project team within the PPS), Algebra and computation (thematic team within the PPS)
Thesis directors: Pierre-Louis Curien and Yves Guiraud
External advisor: Viktoriya Ozornova

Areas of interest

• Interested in interplay between algebraic structures and their interpretations from different perspectives (e.g. combinatorial or topological), particularly in their category-theoretic and homotopical aspects
• Very fond of higher-dimensional rewriting, eager to find out more about its applications to other branches of mathematics, especially to algebra, e.g. in combinatorial group theory and in effective algebra
• Curious about higher category theory and interested in working in the domain from the combinatorial angle
• Increasingly enthusiastic about formalisation of mathematics using The Coq Proof Assistant
• Topics around my PhD thesis work: normalisations in monoids, Garside theory, Artin-Tits monoids and groups, Coxeter groups, plactic monoids, word problem, theory of collapsing schemes (aka discrete Morse theory), homology of monoids, geometric group theory

Publications

• Correspondence between factorability structure and quadratic normalisation in monoids
  Accepted for publication in International Journal of Algebra and Computation (2024)
  (doi)
  
• Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size (with Duško Bogdanić, Sara Koljančić, Polona Oblak, and Klemen Šivic)
  Linear Algebra and Its Applications, Vol. 690 (2024)
  (doi)
  
• Coherent presentations of monoids with a right-noetherian Garside family (with Pierre-Louis Curien and Yves Guiraud)
  Journal of Homotopy and Related Structures, Vol. 18, issue 1 (2023)
  (doi)
• Compressed zero-divisor graphs of matrix rings over finite fields (with Sara Jevđenić and Nik Stopar)
  Linear and Multilinear Algebra, Vol. 69, issue 11 (2021)
  (doi)
• Categorial properties of compressed zero-divisor graphs of finite commutative rings (with Sara Jevđenić and Nik Stopar)
  Journal of Algebra and Its Applications, Vol. 20, No. 05, 2150069 (2021)
  (doi)
• The total zero-divisor graph of a commutative ring (with Sara Jevđenić, Polona Oblak, and Nik Stopar)
  Journal of Algebra and Its Applications, Vol. 18, No. 10, 1950190 (2019)
  (doi)