Teaching experience 1
Undergraduate course, University 1, Department, 2014This is a teaching template. What are you doing here? Read more
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teaching
talks
Talk 1 on Relevant Topic in Your Field
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publications
Computing Geometrical Measures of Topological Holes
Yann-Situ Gazull, Alexandra Bac, Aldo Gonzalez-LorenzoComputer-Aided Design, 2023 (SPM 2023 second best paper award)
Published Version | HAL Version | Code | Bibtex
We define and compute two specific balls for every hole of a geometric object. One ball corresponds to the thickness (~fragility, in red), whereas the other corresponds to the breadth (~size, in blue) of the hole. Read more
A constructive approach of Alexander duality
Aldo Gonzalez-Lorenzo, Alexandra Bac, Yann-Situ GazullJournal of Applied and Computational Topology, 2024
Published Version | HAL Version | Bibtex
We prove a combinatorial and geometric version of Alexander duality with a constructive proof, based on HDVFs. This allows us to define four different representations of homological holes, named homology quartets. Read more
Characterization of the Computed Homology and Cohomology Bases
Yann-Situ Gazull, Aldo Gonzalez-Lorenzo, Alexandra BacProceedings of International Conference on Discrete Geometry and Mathematical Morphology, 2025
Published Version | HAL Version | Bibtex
We provide a combinatorial characterization of the homology bases computed by standard computational homology methods (discrete Morse theory, standard persistent homology, modified Smith normal form, tri-partitions), using homological discrete vector fields. Read more
On the Graph of Homology Computations and its Connectedness
Yann-Situ Gazull, Aldo Gonzalez-Lorenzo, Alexandra Bacpreprint, 2025
| HAL Version | Bibtex
This preprint is a study about the graph of perfect HDVFs. We provide an algorithm relating two perfect HDVFs, showing this graph is connected. We also provide an algorithm to adapt a HDVF to a given explicit basis. Read more
Stability and extension of steady and ranging persistence
Yann-Situ GazullJournal of Applied and Computational Topology, 2025
Published Version | HAL Version | Code | Bibtex
We extend steady and ranging persistence from graphs to other categories, and provide a characterization of the features that give rise to stable steady and ranging persistent diagrams. We show examples for hypergraphs. Read more
Characterization of the Homology and Cohomology Bases Computed by Standard Methods
Yann-Situ Gazull, Aldo Gonzalez-Lorenzo, Alexandra BacJournal of Mathematical Imaging and Vision, 2026
Published Version | Bibtex
This paper is an extension of the paper Characterization of the Computed Homology and Cohomology Bases. We characterize the homology and cohomology bases computed by standard computational homology methods. We also characterize the pair of homology and cohomology bases that can be computed simultaneously. Read more
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Some Old Graffs
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Fusionnerie de Kerlyon
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Treehouse Linocut
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Stencil of an unknown
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Plaquette Omega ENS de Lyon 2019
Published:Cover for the ENS de Lyon student life booklet. The blue and orange sides represent the Monod and Descartes campuses, respectively.
Mural foyer ENS de Lyon
Published:A participative mural I co-organized for Art Total student festival at ENS de Lyon, through the art association Enplastik. Read more
Not for me
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Digital character
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Chatonnerre
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Keep Rolling
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Cul du cube
Published:Made after a weird dream.
White Flag
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L’Enfer d’Archimède
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On the Top
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Étoiles Chanceuses
Published:A fan art of the manga Dreamland, by Reno Lemaire.
Tomita
Published:This was directly inspired by the clip Tomita by Jaga Jazzist (Directed & Animated by Jengo), which in turn was directly inspired by the game Journey by Thatgamecompany. The music is also a homage to the composer Isao Tomita.
Multi scale
Published:A canvas painted with three stencils, and additional techniques (watercolor, markers, …).
Constructivisme
Published:I wanted to represent “constructions” with a formula. Read more
To spot a butterfly
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Depuis Briançon
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1C2 serigraphie
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Beside April
Published:Inspired by the beautiful clip of Beside April by Badbadnotgood, directed by Camille Summers-Valli.
Shader: Energy Living Orb
Published:Complement of a Torus in the 3-Sphere
Published:Here is a representation of a continuous transformation from the complement of a torus in a 3-sphere, to two intertwined annulus. This is an example to help understand Alexander duality. Read more
Bulding jumping
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PSSFFS2KXX
Published:Some footage of a video game I am currently working on. I made the different visual elements using pixel arts and some shaders. The hardest part is to do the animations for the character’s movement.
Granny Life
Published:I made two granny squares for the project Granny Life initiated by Laura Taalman. In total, 242 unique granny squares have been combined in a two-sided 11x11 blanket. Every pattern was generated by a cellular automaton. The whole piece was exposed in Maison Poincaré for the exhibition Création, entre arts et mathematiques in 2026. Read more
Shader: Toroïdal spiraling 19x19 go
Published:Shader: Tori Rave Party
Published:Folding a tri-torus
Published:Folding a dodecagon into a tri-torus. This was presented at IHP for the workshop Bridging visualization and understanding in Geometry and Topology of the Illustration as a Mathematical research technique program.
