Noam Scully

Physics PhD student
Perimeter Institute and University of Waterloo
nscully@perimeterinstitute.ca

I am a first-year physics PhD student researching quantum information theory at the Perimeter Institute for Theoretical Physics and the Univerisity of Waterloo in Waterloo, Ontario. My focus is in quantum metrology and quantum learning. I am fortunate to be advised by Professor Sisi Zhou and Professor David Gosset.

In 2025, I graduated Yale University with a B.S. in mathematics.

View my resume here.

Papers

[preprint] Slope gap distribution of the double heptagon and an algorithm for determining winning vectors

with Fernando Al Assal, Nada Ali, Uma Arengo, Taylor McAdam, Carson Newman, and Sofia Zhou.

The Lexicographically Least Square-Free Word with a Given Prefix

with Siddharth Berera, Andrés Gómez-Colunga, Joey Lakerdas-Gayle, John López, Mauditra Matin, Daniel Roebuck, Eric Rowland, and Juliet Whidden.

Published in The Electronic Journal of Combinatorics (E-JC 2023).

Undergraduate Research

I enjoyed doing math and physics research throughout my time at Yale.

  • The summer before starting college, I researched combinatorics in the 2021 Polymath Jr Research Experience for Undergraduates with Professor Eric Rowland. We published our results in the Electronic Journal of Combinatorics, linked here.
  • The following summer, I was awarded the 2022 Yale College First-Year Summer Research Fellowship in the Sciences & Engineering to research astrophysics with Professor Daisuke Nagai. I wrote a final report here.
  • In summer 2023, I researched geometry and dynamics as part of Summer Undergraduate Math Research at Yale (SUMRY REU) with Professor Taylor McAdam and Dr. Fernando Al Assal. Our paper is submitted for publication. View the preprint here.
  • In spring 2024, I conducted an independent study in category theory with Professor Pablo Boixeda Alvarez which concluded with an original research project. You can view the project here.
  • In summer 2024, I was a Visiting Scholar at Boston Univeristy Condensed Matter Theory in Professor Anatoli Polkovnikov's lab researching the Wigner-Weyl correspondence and quantum dynamics.

Teaching

I enjoyed being an Undergraduate Learning Assistant (ULA) at Yale, which inovlved running office hours for proof-based linear algebra and real analysis courses. I also worked as a private tutor and took a pedagogy course about teaching math at the college level at Yale. Over my gap year before college, I was employed by Art of Problem Solving as a teaching assistant in live virtual classrooms for combinatorics and contest math courses.

  • Spring 2025: ULA (undergraduate learning assistant), Linear Algebra, Yale University.
  • Fall 2024: ULA, Linear Algebra, Yale University.
  • Spring 2024: ULA, Real Analysis, Yale University.
  • Fall 2023: ULA, Linear Algebra, Yale University.
  • Spring 2023: Private Tutor, Linear Algebra, Yale University.
  • Spring 2023: Private Tutor, Introduction to Abstract Algebra, Yale University.
  • 2020-2021: Online Staff Member, various courses, Art of Problem Solving.