Eli Naig

St. Louis, MO

Tulane University

PGP key (RSA 4096, for encrypted email)

I’m a mathematics undergraduate at Tulane University, working with Mahir Bilen Can on algebraic coding theory and code-based post-quantum cryptography. I also co-founded QSPARC Labs, where we build software based on this research.

This summer I am at the University of South Carolina’s NSF REU in quantum information science, working with Stephen Fenner on quantum position verification. I am applying to PhD programs for Fall 2027. The best way to reach me is by email at elicoe05@gmail.com; my CV is here.

Selected Publications

arXiv

Parallel Repetition in the Two-Player Quantum Cloning Game

Eli C. Naig and Stephen A. Fenner

arXiv:2608.00930 [quant-ph], Aug 2026

arXiv Bib PDF

@misc{naig2026parallel,
  title = {Parallel Repetition in the Two-Player Quantum Cloning Game},
  author = {Naig, Eli C. and Fenner, Stephen A.},
  year = {2026},
  month = aug,
  eprint = {2608.00930},
  archiveprefix = {arXiv},
  primaryclass = {quant-ph},
}

ePrint

Applications of Bruhat-Chevalley-Renner Decomposition to Metric-Aware Code-Based Cryptography

Mahir Bilen Can and Eli C. Naig

Cryptology ePrint Archive, Paper 2026/665, Jan 2026

Bib HTML PDF

@misc{can2026bruhat,
  title = {Applications of Bruhat-Chevalley-Renner Decomposition to Metric-Aware Code-Based Cryptography},
  author = {Can, Mahir Bilen and Naig, Eli C.},
  year = {2026},
  month = jan,
  howpublished = {Cryptology ePrint Archive, Paper 2026/665},
}

Leadership

Co-Founder and Vice President, Tulane Science Olympiad

2024-Present

Co-founded Tulane's first Science Olympiad invitational and helped drive rapid growth in Science Olympiad at Tulane and across Louisiana. Work includes statewide outreach, tournament organizing, volunteer coordination, campus-wide space allocation across 60+ classrooms and laboratories, and development of the official competition website, all in support of an effort to expand active Science Olympiad teams statewide.

tulanescioly.org

President, Tulane Math Club

2026-2027

During the 2026-2027 academic year, I lead club programming, coordination, student engagement, and stewardship of the organization website.

tulanemathsociety.github.io