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"The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics."
-Godfrey H. Hardy
Preprints
Preprints
Outer symplectic billiard map at infinity, P. Albers, A. Chavez Caliz, and S. Tabachnikov. https://arxiv.org/abs/2508.15142
Outer symplectic billiards, P. Albers, A. Chavez-Caliz, and S. Tabachnikov. https://arxiv.org/pdf/2409.07990.
Papers
Papers
Projective self-dual polygons in higher dimensions, Chavez-Caliz, Ana. Advances in Geometry, vol. 23, no. 4, 2023, pp. 567-582. https://doi.org/10.1515/advgeom-2023-0024 (arXiv version here.)
Polígonos de Poncelet. Ana C Chavez-Caliz. Paskin Matemático (2022) no. 2, vol. 4, pag. 1-4 https://editorial.konradlorenz.edu.co/2022/05/paskin-matematico-vol-4-num-2.html?fbclid=IwAR3F4hV4Fh0R4QHewAfmPVtwaEMSPwWbeegz7BYuLkhq2ZYhXHVq1CsEnFE
More about areas and centers of Poncelet polygons. Ana C. Chavez-Caliz. Arnold Mathematical Journal, 7(1) (2021), 91-106 https://doi.org/10.1007/s40598-020-00154-8 (arXiv version here)
Artwork
Artwork
Artwork of the book What is differentiable geometry? by Anton Petrunin and Sergio Zamora (paper version available on Amazon)
Cover of the article Moon in a puddle and the four-vertex theorem by Anton Petrunin and Sergio Zamora.
Design of the logo for the Topology Students Workshop 2020 hosted by the Georgia Institute of Technology.
I also helped with some of the drawings on the following website: https://mathfest.mathi.uni-heidelberg.de/poincare-conjecture/ , where the University of Heidelberg is announcing their celebration of the Poincaré conjecture, as part of the Millennium Problems MathFest.
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