Juanita Duque-Rosero

Conference talks

Arithmétique, Géométrie, Cryptographie et Théorie des Codes, June 2025, CIRM, Marseille, France. Slides.
LatMath 2025, scientific session in Algebra/Number Theory, March 2025, IPAM at UCLA, Los Angeles, California, USA. Slides.
Texas Algebraic Geometry Symposium, April 2024, Texas A&M University, College Station, Texas, USA. Notes.
The 2023 AWM Research Sympossium, Special Session on Recent Advances in Curves and Abelian Varieties, September 2023, Clark Atlanta University, Atlanta, Georgia, USA. 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, Massachusetts, USA. 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.

Lecture Series

2026 School on Arithmetic, Geometry and Algorithms, Elliptic Curves Over Finite Fields and Applications to Cryptography.
AGRA V - School on Arithmetic Groups and Analysis, Métodos explícitos de Chabauty: un punto de vista computacional a los puntos racionales, with Jerson Caro Reyes.
PAWS (Preliminary Arizona Winter School), Analysis and Implementation of Algorithms in Number Theory.

Seminar talks

Harvard number theory seminar, April 2026, Harvard University, Cambridge, Massachusetts, USA.
Five College Number Theory Seminar, February 2026, University of Massachusetts Amherst, Amherst, Massachusetts, USA.
Calgary Algebra & Number Theory Seminar, October 2025, University of Calgary, Calgary, Alberta, Canada.
Computational Algebra Seminar, May 2025, University of Sydney, NSW, Australia.
Ramanujan-Serre Seminar, October 2024, University of Virginia, Charlottesville, VA.
XL Rational Points Consortium's meeting, June 2024, Utrecht University, Utrecht, Netherlands.
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.