Nayda Farnsworth

About

I am a fourth-year undergraduate student double-majoring in Mathematics and Computer Science at Colgate University. My interests include combinatorics, experimental mathematics, and abstract algebra/logic. I plan to pursue a PhD in Mathematics beginning in Fall 2026.

Upcoming and Recent Events

• On March 31, 2026, I will present in the Colgate University Mathematics Seminar.
• On March 5, 2026, I will present my mathematics thesis work in the Rutgers Experimental Mathematics Seminar .
• On February 2, 2026, I was awarded High Honors in Mathematics at Colgate University based on my mathematics thesis and defense.
• On February 1, 2026, I presented my mathematics thesis work at the Nebraska Conference for Undergraduate Wisdom in Mathematics.

Papers

Mathematics

• Elimination Without Eliminating: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets
  P. Breiding, J. Cobb, A. Englander, N. Farnsworth, J. Hauenstein, O. Henriksson, D. Johnson, J. Lopez Garcia, D. Mundayur
  Submitted for publication (2026) · arXiv:2601.04383
• A Note on Conjectures of Gullerud, Johnson, and Mbirika
  Robert Davis, Nayda Farnsworth
  Submitted for publication (2025) · arXiv:2510.02008

Interdisciplinary

• Do Neural Networks Learn Algebraic Worlds? An Investigation into the Group-theoretic Structures Learned by Narrow Models Trained to Predict Group Operations
  H. Kvinge, A. Aguilar, N. Farnsworth, G. O’Brien, R. Jasper, S. Scullen, H. Jenne
  Accepted to TAG-DS 2025 · arXiv:2601.21150

In Progress

• Reconstructing Monomial Orders
  N. Farnsworth, P. Horoszewski, A. Pal, G. Sosa Castillo, M. Zarcone

Teaching Assistant at Colgate

• Discrete Structures (Fall 2025)
• Applied Machine Learning (Spring 2025)
• Linear Algebra (Fall 2024)
• From Painting to Pixels – p5.js (Fall 2024)
• Intro to Computing I & II (Fall 2023 – Spring 2024)

Workshops & Schools

• SuperComputing 2025 (SC25)
  St. Louis, MO · Short course: Julia for High-Performance Computing · Nov 2025
• Preliminary Arizona Winter School
  Virtual · Introduction to Mathematical Cryptography · Sep–Nov 2025
• GROW Columbia 2025
  New York, NY · Graduate School Preparation Conference · Sep 2025
• Pacific Northwest National Laboratory
  Richland, WA · High-Performance Computing Bootcamp · Jun–Aug 2025
• Workshop on the Applications of Commutative Algebra at the Fields Institute
  Toronto, ON · Numerical Algebraic Geometry Group · May 2025

Other Activities

Presentations

• Nebraska Conference for Undergraduate Wisdom in Mathematics
  Lincoln, NE · Oral presentation · Jan 2026
  Title: Establishing an Improved Lower Bound on HJ(3, 3)
• Osaka University Student Research Symposium
  Osaka, Japan · Oral presentation · Jan 2025
  Title: Connections between Tridiagonal Matrices and the Fibonacci Sequence
• Colgate Combinatorics Research Symposium in Tokyo
  Tokyo, Japan · Oral presentation · Jan 2025
  Title: Connections between Tridiagonal Matrices and the Fibonacci Sequence
• Nebraska Conference for Undergraduate Women in Mathematics
  Lincoln, NE · Oral presentation · Jan 2025
  Title: Connections between Tridiagonal Matrices and the Fibonacci Sequence
• New York Six Undergraduate Research Conference
  Clinton, NY · Poster presentation · Nov 2024
  Title: Optimizing Time to Fairness in Federated Learning on Resource-Constrained Devices
• UMass Summer Undergraduate Research Symposium
  Amherst, MA · Poster presentation · Aug 2024
  Title: Optimizing Time to Fairness in Federated Learning on Resource-Constrained Devices
• Nebraska Conference for Undergraduate Women in Mathematics
  Lincoln, NE · Co-presenter, poster · Jan 2024
  Title: Reconstructing Monomial Orders
• New York Six Undergraduate Research Conference
  Geneva, NY · Co-presenter, oral presentation · Nov 2023
  Title: Reconstructing Monomial Orders
• Colgate University Summer Research Poster Symposium
  Hamilton, NY · Co-presenter, poster · Jul 2023
  Title: Reconstructing Monomial Orders

Leadership & Service

• Mathematics Club
  President, Colgate University · Fall 2025 – Present
• Hamilton Central School Coding Club
  Club Leader and Volunteer, Colgate University COVE · Fall 2023 – Present

Contact

Email: nfarnsworth@colgate.edu