Invited talks
AMS Fall Eastern Sectional Meeting, Special Session on Latinx and Hispanics in Combinatorics, Number Theory, Geometry and Topology, October 2022, University of Massachusetts Amherst, Amherst, MA. Slides.
Fifteenth Algorithmic Number Theory Symposium (ANTS-XV), August 2022, University of Bristol, Bristol, United Kingdom. Slides.
Explicit Methods for Modularity (Online), April 2022. Slides.
Joint Mathematics Meetings, January 2022, Seattle, Washington. (Canceled because of COVID)
A Series of Trimester Programs on Triangle Groups, Belyi Uniformization, and Modularity, December 2021, Bhaskaracharya Pratishthana, Prune, India. Video. Slides.
SIMONS Collaboration Meeting on Arithmetic Geometry, Number Theory and Computation, (joint with Sachi Hashimoto), September 2021, ICERM, Providence, Rhode Island. Slides.
XXI Colombian Congress of Mathematics, June 2017, National University, Bogotá, Colombia.
Matemáticas por estudiantes, November 2016, University of los Andes, Bogotá, Colombia.
Seminar talks
Introduction to computations in Magma, September 2022, Reading Seminar in Number Theory, Dartmouth College, Hanover, New Hampshire. Worksheet and scavenger hunt.
Hilbert modular forms, January 2022, Reading Seminar in Number Theory, Dartmouth College, Hanover, New Hampshire. Slides.
Enumerating triangular modular curves of low genus, November 2021, Algebra and Number Theory Seminar, Dartmouth College, Hanover, New Hampshire
First homology of quotients of Fermat curves, May 2021, Algebra and Number Theory Seminar, Dartmouth College, Hanover, New Hampshire. Slides.
Group schemes: basic constructions, April 2021, Reading Seminar in Number Theory, Dartmouth College, Hanover, New Hampshire. Notes
p-adic heights on Jacobians, February 2021, Reading Seminar in Number Theory, Dartmouth College, Hanover, New Hampshire. Notes
The Jacobian variety, October 2020, Advancement Exam, Dartmouth College, Hanover, New Hampshire. Slides
Origami and mathematics, December 2019, GREENSLOPES seminar, Colorado State University, Fort Collins, Colorado. Slides
Quotients of Fermat curves, November 2019, Front Range Number Theory Day, Colorado State University, Fort Collins, Colorado.Slides
Rational points of low degree, October 2019, Number theory lab, Colorado State University, Fort Collins, Colorado.
Low degree points on fermat curves, April 2019, Front Range Number Theory Day, University of Colorado, Boulder, Colorado.
Rational points of low degree on Fermat curves, December 2018, Master's thesis defense, Colorado State University, Fort Collins, Colorado.
The 15th theorem, November 2017, SPLINTER seminar, Colorado State University, Fort Collins, Colorado.