2015–2019 Joint ICTP-SISSA International PhD in Geometry and Mathematical Physics
Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy
International School for Advanced Studies (SISSA), Trieste, Italy
Thesis: Noether-Lefschetz Theory in Toric Varieties (Cum Laude)
Supervisor: Prof. Ugo Bruzzo
2014–2015 Postgraduate Diploma in Mathematics
Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy
Thesis: Uniformization Theorem
Supervisor: Prof. Claudio Arezzo
2011–2013 Master in Mathematics
University of Antioquia, Medellín, Colombia
Thesis: Simplicial C∞-Rings and ♾️-Algebraic Theories
Supervisor: Prof. Giovanni Marelli; Co-supervisor: Pedro Rizzo
2006–2011 Bachelor of Science in Mathematics
University of Antioquia, Medellín, Colombia
Thesis: De Rham Cohomology: Some Examples
Supervisor: Prof. Carlos Marín
2023–2024 São Paulo Research Foundation (FAPESP) Research Internship Abroad (BEPE)
Department of Mathematics and Computer Sciences, University of Ferrara, Ferrara, Italy
Research Proposal: Noether-Lefschetz theory in toric varieties and its connection with Mori dream spaces
Supervisor: Prof. Alex Massarenti
2020–2024 São Paulo Research Foundation (FAPESP) Postdoctoral Fellowship
Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Campinas, Brazil
Research Proposal: Noether-Lefschetz theory in toric varieties
Supervisor: Prof. Marcos Jardim
Mar 18–22, 2024 International School for Advanced Studies (SISSA), Trieste, Italy
>> Discussed with Profs. Ugo Bruzzo and Antonella Grassi about the explicit Noether-Lefschetz theorem for toric 3-folds.
Mar 9–16, 2024 School of Mathematics, The University of Edinburgh, Edinburgh, Scotland
>> Discussed with Prof. Ivan Cheltsov about Noether-Lefschetz in Fano 3-folds and K-stability.
Nov 12–26, 2023 International School for Advanced Studies (SISSA), Trieste, Italy
>> Discussed with Profs. Ugo Bruzzo and Aron Simis about Gorenstein graded ℂ-algebras.
Sept 23–Oct 10, 2023 Federal Rural University of Pernambuco, Recife, Brazil
>> Discussed with Prof. Rodrigo Gondim about Lefschetz Properties for non standard Artinian Gorenstein graded ℂ-algebras.
July 25–30, 2023 University of Catania, Catania, Italy
>> Discussed with Prof. Rodrigo Gondim about non standard Artinian Gorenstein graded ℂ-algebras.
Oct 8–14, 2022 University of Paraíba, João Pessoa, Brazil
>> Collaborated with Prof. Ugo Bruzzo on a project about Cox-Gorenstein rings.
Apr 23–May 3, 2022 University of Concepción, Concepción, Chile
>> Collaborated and discussed with Profs. Antonio Laface and Michela Artebani about Mori dream spaces and their connection with Noether-Lefschetz theory in toric varieties.
March–May 2018 Institute of Mathematics and Statistics, University of São Paulo, São Paulo, Brazil
>> Three-month research visit that included discussions and seminars with algebraic and differential geometers in the Institute.
>> Participated in the Second Joint Meeting of Mathematicians, Ohio State University - University of São Paulo hosted in the Institute in 12-16 March.
March–May 2017 David Rittenhouse Lab, Department of Mathematics, University of Pennsylvania, Philadelphia, USA
>> Three-month research visit with Prof. Antonella Grassi whose research and published works, especially on the Noether-Lefschetz locus of surfaces in toric threefolds, form the critical foundations of my own dissertation research.
PDF version of my curriculum vitae: