Conference talks
- Texas Algebraic Geometry Symposium, April 2024, Texas A&M University, College Station, TX. Notes.
- The 2023 AWM Research Sympossium, Special Session on Recent Advances in Curves and Abelian Varieties, September 2023, Clark Atlanta University, Atlanta, GA. Slides.
- 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.
- XXIII International Simposium on Mathematical Methods Applied to Sciences (Online), San José, Costa Rica.
Seminar talks
- VT Algebra Seminar, April 2024, Virginia Tech, Blacksburg, VA.
- Dartmouth Algebra and Number Theory Seminar, April 2024, Dartmouth College, Hanover, New Hampshire
- Emory Algebra and Number Theory Seminar, March 2024, Emory University, Atlanta, GA.
- Algebra Seminar, February 2024, University of Connecticut, Storrs, CT.
- Brown Algebra/Number Theory Seminar, December 2023, Brown University, Providence, RI.
- BU Number Theory Seminar, October 2023, Boston University, Boston, MA.
- Algebra and Number Theory Seminar, October 2023, Wesleyan University, Middletown, CT.
- The Ohio State University Number Theory Seminar, December 2022, The Ohio State University, Columbus, OH.
- Rice Algebra and Number Theory Seminar, November 2022, Rice University, Houston, TX.
- A Series of Trimester Programs on Triangle Groups, Belyi Uniformization, and Modularity, December 2021, Bhaskaracharya Pratishthana, Prune, India. Video. Slides.
Other talks
- 2024 Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation Annual Meeting, lightning talk, January 2024, New York, NY. Slides.
- LuCaNT, lightning talk, July 2023, ICERM, Providence, RI. Slides.
- 2023 Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation Annual Meeting, lightning talk, January 2023, New York, NY. Slides.
- SIMONS Collaboration Meeting on Arithmetic Geometry, Number Theory and Computation, (joint with Sachi Hashimoto), September 2021, ICERM, Providence, Rhode Island. Slides.
- Triangular modular curves and geometric quadratic Chabauty, April 2023, PhD thesis defense, Dartmouth College, Hanover, New Hampshire. Slides
- 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.
- XXI Colombian Congress of Mathematics, June 2017, National University, Bogotá, Colombia.
- Matemáticas por estudiantes, November 2016, University of los Andes, Bogotá, Colombia.