My general interest is in number theory, including Diophantine equations, recurrence sequences, and explicit algebraic number theory. You can find me on the arxiv.
Papers and Preprints
Research (* indicates undergraduate coauthor):
- * Connectedness of Special Points in the Markoff mod p Graphs, with Claire Dunn, Vernon Naidu, and Alette Wells. In preparation.
- * Bounding Lifts of Markoff Triples mod p, with Brenda Chen, Elena Fuchs and Lynnelle Ye. Submitted. Preprint available at arXiv 2311.11468.
- * Arbitrary finite intersections of doubling measures and applications, with Theresa C. Anderson, Zoe Markman, Teresa Pollard, and Josh Zeitlin. Journal of Functional Analysis. Vol. 287 (2024), No. 09, 110573. (arXiv preprint).
- Norm Form Equations and Linear Divisibility Sequences. International Journal of Number Theory. Vol. 18 (2022), No. 06, 1239-1259. (arXiv preprint).
- A probabilistic heuristic for counting components of functional graphs of polynomials over finite fields,
with Derek Garton, Erin Tannenbaum, and Noah Walton. Involve. Vol. 11 (2018), No. 1, 169-179. (arXiv preprint).
Other Writing:
University of Oregon AWM Chapter: Creation and Evolution, with Sarah Frei, Leanne Merrill, and
Kelly Pohland. In: Beery, J.L., Greenwald, S.J., Kessel, C. (eds) Fifty Years of Women in Mathematics. Association for Women in Mathematics Series. Vol 28 (2022). Springer, Cham.
Mentoring
In Summer 2025, I will be supervising the undergraduate research project: Markoff Triples and Periods of Linear Recurrence Sequences at the UofT. Information for how to apply to work with me on this project can be found here.
Previous Projects Supervised:
- SUAMI 2024: Markoff Triples modulo p , with Claire Dunn, Vernon Naidu, and Alette Wells.
- SURF 2024: Bounding Lifts of Markoff Triples modulo p, with Siran Chen.
- SUAMI 2023: Doubling Measures Along Sets of Natural Numbers with Zoe Markman, Teresa Pollard, and Joshua Zeitlin (co-advised with Tess Anderson).
Links to Selected Presentations
- Here are slides for a talk I gave at BIRS in January 2025.
- Here is a talk I gave for the Pitt AWM Student Seminar Series in May 2022.
- Here is a contributed talk I gave for the Junior Mathematician Research Archive in August 2020.
Recent and Upcoming Travel
- Perspectives on Markoff Numbers, Banff International Research Station, January 26-31, 2025
Papers and Preprints
Research (* indicates undergraduate coauthor):
- * Connectedness of Special Points in the Markoff mod p Graphs, with Claire Dunn, Vernon Naidu, and Alette Wells. In preparation.
- * Bounding Lifts of Markoff Triples mod p, with Brenda Chen, Elena Fuchs and Lynnelle Ye. Submitted. Preprint available at arXiv 2311.11468.
- * Arbitrary finite intersections of doubling measures and applications, with Theresa C. Anderson, Zoe Markman, Teresa Pollard, and Josh Zeitlin. Journal of Functional Analysis. Vol. 287 (2024), No. 09, 110573. (arXiv preprint).
- Norm Form Equations and Linear Divisibility Sequences. International Journal of Number Theory. Vol. 18 (2022), No. 06, 1239-1259. (arXiv preprint).
- A probabilistic heuristic for counting components of functional graphs of polynomials over finite fields,
with Derek Garton, Erin Tannenbaum, and Noah Walton. Involve. Vol. 11 (2018), No. 1, 169-179. (arXiv preprint).
Other Writing:
University of Oregon AWM Chapter: Creation and Evolution, with Sarah Frei, Leanne Merrill, and
Kelly Pohland. In: Beery, J.L., Greenwald, S.J., Kessel, C. (eds) Fifty Years of Women in Mathematics. Association for Women in Mathematics Series. Vol 28 (2022). Springer, Cham.
Mentoring
In Summer 2025, I will be supervising the undergraduate research project: Markoff Triples and Periods of Linear Recurrence Sequences at the UofT. Information for how to apply to work with me on this project can be found here.
Previous Projects Supervised:
- SUAMI 2024: Markoff Triples modulo p , with Claire Dunn, Vernon Naidu, and Alette Wells.
- SURF 2024: Bounding Lifts of Markoff Triples modulo p, with Siran Chen.
- SUAMI 2023: Doubling Measures Along Sets of Natural Numbers with Zoe Markman, Teresa Pollard, and Joshua Zeitlin (co-advised with Tess Anderson).
Links to Selected Presentations
- Here are slides for a talk I gave at BIRS in January 2025.
- Here is a talk I gave for the Pitt AWM Student Seminar Series in May 2022.
- Here is a contributed talk I gave for the Junior Mathematician Research Archive in August 2020.
Recent and Upcoming Travel
- Perspectives on Markoff Numbers, Banff International Research Station, January 26-31, 2025
- * Connectedness of Special Points in the Markoff mod p Graphs, with Claire Dunn, Vernon Naidu, and Alette Wells. In preparation.
- * Bounding Lifts of Markoff Triples mod p, with Brenda Chen, Elena Fuchs and Lynnelle Ye. Submitted. Preprint available at arXiv 2311.11468.
- * Arbitrary finite intersections of doubling measures and applications, with Theresa C. Anderson, Zoe Markman, Teresa Pollard, and Josh Zeitlin. Journal of Functional Analysis. Vol. 287 (2024), No. 09, 110573. (arXiv preprint).
- Norm Form Equations and Linear Divisibility Sequences. International Journal of Number Theory. Vol. 18 (2022), No. 06, 1239-1259. (arXiv preprint).
- A probabilistic heuristic for counting components of functional graphs of polynomials over finite fields, with Derek Garton, Erin Tannenbaum, and Noah Walton. Involve. Vol. 11 (2018), No. 1, 169-179. (arXiv preprint).
University of Oregon AWM Chapter: Creation and Evolution, with Sarah Frei, Leanne Merrill, and Kelly Pohland. In: Beery, J.L., Greenwald, S.J., Kessel, C. (eds) Fifty Years of Women in Mathematics. Association for Women in Mathematics Series. Vol 28 (2022). Springer, Cham.
Previous Projects Supervised:
- SUAMI 2024: Markoff Triples modulo p , with Claire Dunn, Vernon Naidu, and Alette Wells.
- SURF 2024: Bounding Lifts of Markoff Triples modulo p, with Siran Chen.
- SUAMI 2023: Doubling Measures Along Sets of Natural Numbers with Zoe Markman, Teresa Pollard, and Joshua Zeitlin (co-advised with Tess Anderson).
Links to Selected Presentations
- Here are slides for a talk I gave at BIRS in January 2025.
- Here is a talk I gave for the Pitt AWM Student Seminar Series in May 2022.
- Here is a contributed talk I gave for the Junior Mathematician Research Archive in August 2020.
- Here are slides for a talk I gave at BIRS in January 2025.
- Here is a talk I gave for the Pitt AWM Student Seminar Series in May 2022.
- Here is a contributed talk I gave for the Junior Mathematician Research Archive in August 2020.