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publications
Non-Euclidean Ideal Spectrometry
Published in Brazilian Journal of Physics, 2016
Proposal of a conformal transformation that could be realisable in a spectrometer to control the path of the light rays.
Recommended citation: Sá Earp, H.N., Sicca, V. & Kyotoku, B.B.C. Non-Euclidean Ideal Spectrometry. Braz J Phys 46, 683–688 (2016). https://doi.org/10.1007/s13538-016-0452-1
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A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary
Published in ArXiv, 2021
A well-posedness result on the problem of prescribing scalar curvature in the interior and mean curvature on the boundary of compact manifolds with boundary.
Recommended citation: Sicca, V., Xia, T., Fédérico, M., Gorinski, P.J., Frieder, S., & Jui, S. (2024). Newclid: A User-Friendly Replacement for AlphaGeometry. ArXiv, abs/2411.11938.
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An Architectural Game of Squares and Conic Sections
Published in Proceedings of Bridges 2021, 2021
In this paper we use the Five Points Theorem to study the possibilities of fitting a modular square grid inside a conic section.
Recommended citation: Sicca, V. (2021). An Architectural Game of Squares and Conic Sections. In D. Swart, F. Farris, & E. Torrence (Eds), Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture (pp. 297–300). Retrieved from http://archive.bridgesmathart.org/2021/bridges2021-297.html
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Architecture and Teaching: Two Websites Meet
Published in Proceedings of the Bridges Aalto 2022, 2022
Description of two websites combined, one developed by me on geometry applications to Architecture and one on teaching material for Math instructors.
Recommended citation: Nietto, S., & Sicca, V. (2022). Architecture and Teaching: Two Websites Meet. In D. Reimann, D. Norton, & E. Torrence (Eds), Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture (pp. 425–428). Retrieved from http://archive.bridgesmathart.org/2022/bridges2022-425.html.
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A prescribed scalar and boundary mean curvature problem and the Yamabe classification on asymptotically Euclidean manifolds with inner boundary
Published in The Journal of Geometric Analysis, 2023
Proof of a well-posedness result for the prescriptions of scalar curvature in the interior and mean curvature on the boundary of an asymptotically Euclidean manifold with compact boundary.
Recommended citation: Sicca, V., Tsogtgerel, G. A Prescribed Scalar and Boundary Mean Curvature Problem and the Yamabe Classification on Asymptotically Euclidean Manifolds with Inner Boundary. J Geom Anal 33, 342 (2023). https://doi.org/10.1007/s12220-023-01346-2
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Euclid’s Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design
Published in Proceedings of Bridges 2016, 2024
Description of the first release of Newclid and review of the functioning of AlphaGeometry 1.
Recommended citation: Sicca, V. (2016). Euclid’s Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design. In E. Torrence, B. Torrence, C. Séquin, D. McKenna, K. Fenyvesi, & R. Sarhangi (Eds), Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (pp. 659–662). Retrieved from http://archive.bridgesmathart.org/2016/bridges2016-659.html
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Newclid: A User-Friendly Replacement for AlphaGeometry
Published in ArXiv, 2024
Description of the first release of Newclid and review of the functioning of AlphaGeometry 1.
Recommended citation: Sicca, V., Xia, T., Fédérico, M., Gorinski, P.J., Frieder, S., & Jui, S. (2024). Newclid: A User-Friendly Replacement for AlphaGeometry. ArXiv, abs/2411.11938.
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Aristotle: IMO-level Automated Theorem Proving
Published in ArXiv, 2025
Description of the software Aristotle.
Recommended citation: Tudor Achim, Alex Best, Alberto Bietti, Kevin Der, Mathïs Fédérico, Sergei Gukov, Daniel Halpern-Leistner, Kirsten Henningsgard, Yury Kudryashov, Alexander Meiburg, Martin Michelsen, Riley Patterson, Eric Rodriguez, Laura Scharff, Vikram Shanker, Vladmir Sicca, Hari Sowrirajan, Aidan Swope, Matyas Tamas, Vlad Tenev, Jonathan Thomm, Harold Williams, & Lawrence Wu. (2025). Aristotle: IMO-level Automated Theorem Proving.
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talks
Talk 1 on Relevant Topic in Your Field
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This is a description of your talk, which is a markdown files that can be all markdown-ified like any other post. Yay markdown!
Conference Proceeding talk 3 on Relevant Topic in Your Field
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This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
teaching
Maths 1 (TD) - Paris-Assas - 2025/2
Undergraduate course, Université Paris-Panthéon-Assas, 2025
Objectifs : Analyse, Fonctions numériques d’une variable réelle. Continuité, dérivation, optimisation, intégration.
Maths 4 (TD) - Paris-Assas - 2026/1
Undergraduate course, Université Paris-Panthéon-Assas, 2026
Objectifs : Ce cours prolonge le cours Mathématiques 3 du premier semestre. Il traite de valeurs propres et vecteurs propres d’une matrice, de diagonalisation d’une matrice, de formes quadratiques. En un deuxième temps les séries numériques puis les équations de récurrence linéaires et les équations différentielles linéaires sont étudiées.