EDUCATION BACKGROUND

♟(Nov. 2018 - Oct. 2021) Ph.D. in Mathematics at Università di Bologna, Italy

Thesis: Automorphisms on Algebraic Varieties: K3 Surfaces, Hyperkähler Manifolds, and Applications on Ulrich Bundles. Defended in March 2022.

Advisor: Prof. Giovanni Mongardi.

♙(Sept. 2017 - Jun. 2018) M2 in Mathematics at Université Toulouse III-Paul Sabatier, France

Thesis: The Derived Categories of K3 Surfaces.

Advisor: Prof. Marcello Bernardara.

♟(Jan. 2015 - Apr. 2017) M.Sc. in Mathematics at CINVESTAV, Mexico

Thesis: Power Law and Other Statistics in the Tropical Sandpile Model. 

Advisors: Prof. Ernesto Lupercio, and Prof. Nikita Kalinin.

♙(Jan. 2010 - Sept. 2014) BSc. in Mathematics at Universidad del Norte, Colombia.

PROFESSIONAL EXPERIENCE

♟(Mar. 2018-Jun. 2018) Internship in Algebraic Geometry at Institut de Mathématiques de Toulouse

♙(May. 2017-Aug. 2017) Research associate of the project ABACUS: A World-Class Space for Science and Technology Specialized in Applied Mathematics and High-Performance Computing. CINVESTAV-FORDECYT.

TEACHING

♟(2023) Tutor in Representation Theory for the Diplomate program, ICTP.

♙(2019-2020) TAs in Geometry II at Università di Bologna.

♟(2011-2014) Tutor in Calculus and Linear Algebra at CREE, Universidad del Norte.

VISITS

♙Institut de Mathématiques de Toulouse (Prof. Marcello Bernardara, May-Jul 2022).

♟Riemann Center for Geometry and Physics at Leibniz Universität Hannover (Prof. Matthias Schütt, Feb-Apr 2022).

♙Komplexe Geometrie at Universität Bonn (P.I. Prof. Daniel Huybrechts, January 2022).

OTHERS

♟ Co-organizer of the Trino seminar at Trieste with Andrea Ricolfi, Danilo Lewański, and Giulia Gugiatti from November 2022.

♙ Co-organizer of the Seminar in Algebraic Geometry at ICTP with Lothar Göttsche from November 2022.

♟ Co-organizer of the Workshop EXARCHOS  at Ravenna from 22 - 24 January 2020.

PAST SEMINARS

♟ Reading seminar ON CHOW GROUPS ON SOME HK MANIFOLDS: At the beginning of winter, we organized a seminar at ICTP focusing on Chow groups and classical examples of Hyperkähler manifolds.  Notable works, such as "On the Chow ring of a K3 surface" by Beauville-Voisin (2004) discussed by Lothar G., "Chow groups of K3 surfaces and spherical objects" by Huybrechts (2010) presented by me, and "Sur l'anneau de Chow d'une variété abélienne" by Beauville (1986) discussed by Shubham S., were explored. Additionally, Alina M. examined "Motivic decompositions for the Hilbert scheme of points on a K3 surface" by Neguţ, Oberdieck, and Yin (2021).The seminar aimed to provide an introduction and comprehensive understanding of Chow groups in the context of Hyperkähler manifolds, specifically for students of algebraic geometry at the PhD and postdocs.