La hipótesis del film olvidado

The following texts appeared in "Euromundo global" a spanish online journal. La hipótesis del film olvidado  Me invade una profunda sonrisa interior cuando recuerdo Las tres coronas del marinero del cineasta chileno Raúl…

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La espalda del mundo, niños de polvo

The following texts appeared in "Euromundo global" a spanish online journal. La espalda del mundo, Niños de polvo  Los niños del documental «La espalda del mundo» emanan una particular sabiduría.…

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My Education Manifesto

I have been thinking about math education for more than fifteen years. An initiation rite for me was the following story. I was training three students for the math olympics in some school. They worked with me for one year without previous trainment. Then they went to the National Mathematical Olympiad in Chile and they obtained the three gold medals that were given that year. In that moment I was very moved and I realized that the method that I implemented (a method that has been evolving ever since) was interesting.

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Research interests

Most of my work revolves around some beautiful and central objects in representation theory called Soergel bimodules. I have produced a basis of morphisms between such objects that are called Light Leaves. I am fascinated by them. On the one hand, it is because of them that one can actually compute in Soergel bimodule-land, and on the other, they have some very rich combinatorial structure that is slowly unearthing. My favorite subjects are diagrammatical category theory, categorical braid group actions, modular representations of finite or algebraic groups, Kazhdan-Lusztig theory, categorifications and knot theory. Very nice.

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Coorganizer (with Aaron Lauda and Joshua Sussan) of the session “Symmetry in algebra, topology, and physics” in the Math Congress of the Americas

Coorganizer (with Aaron Lauda and Joshua Sussan) of the session "Symmetry in algebra, topology, and physics" in the Math Congress of the Americas MCA 2017 The second Mathematical Congress of the Americas…

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Indecomposable Soergel bimodules for Universal Coxeter groups

joint with Ben Elias ; with an appendix by Ben Webster,  Transactions of the American Mathematical Society 369 (2017), 3883-3910. We introduce the multicolored Temperley-Lieb 2-category. Using it, we find the explicit numbers for which "Soergel's conjecture in positive characteristic for Universal Coxeter systems" fail.

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Invited talk in the Conference “La resolución de Problemas, una competencia transversal”, 26th May 2017, Santiago, Chile.

Invited talk in the Conference "La resolución de Problemas, una competencia transversal", 26th May 2017, Santiago, Chile. SEMINARIO: "LA RESOLUCIÓN DE PROBLEMAS: UNA COMPETENCIA TRANSVERSAL EN EL CURRÍCULO ESCOLAR" 25…

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“Quinquagenary, Faculty of Sciences, University of Chile”, 9-11 December, 2015, Santiago, Chile. (I invited ten Nobel prize recipients to this conference).

"Quinquagenary, Faculty of Sciences, University of Chile", 9-11 December, 2015, Santiago, Chile. (I invited ten Nobel prize recipients to this conference).

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Primer Congreso Internacional Aproximaciones Experimentales a la Interacción Social, 14-16 January 2015, Valparaíso, Chile.

Primer Congreso Internacional Aproximaciones Experimentales a la Interacción Social, 14-16 January 2015, Valparaíso, Chile. Congreso Internacional, Aproximaciones Experimentales a la Interacción Social Organizan: RIA Redes Interactivas de Aprendizaje Fecha: 14 al 16 de…

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