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):
- * Bounding Lifts of Markoff Triples mod p, with Brenda Chen, Elena Fuchs and Lynnelle Ye. 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. Preprint available at arXiv 2310.17615.
- 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.
Links to Selected Presentations
- Here is a talk I gave for the Pitt AWM Student Seminar Series.
- Here is a contributed talk I gave for the Junior Mathematician Research Archive in August 2020.
Previous and Upcoming Travel
- Arizona Winter School 2020: Nonabelian Chabauty, University of Arizona, March 7-11, 2020
- Oregon Number Theory Days, Oregon State University, February 29, 2020
- CMI-HIMR Summer School on Computational Number Theory, University of Bristol, UK, June 17-28, 2019
- Guest at the Max Planck Institute for Mathematics, Bonn Germany, April 1-May 31, 2019
- 32nd Workshop on Automorphic Forms, Tufts University, March 19-22, 2018
- Arizona Winter School 2018: Iwasawa Theory , University of Arizona, March 3-7, 2018
Papers and Preprints
Research (* indicates undergraduate coauthor):
- * Bounding Lifts of Markoff Triples mod p, with Brenda Chen, Elena Fuchs and Lynnelle Ye. 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. Preprint available at arXiv 2310.17615.
- 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.
Links to Selected Presentations
- Here is a talk I gave for the Pitt AWM Student Seminar Series.
- Here is a contributed talk I gave for the Junior Mathematician Research Archive in August 2020.
Previous and Upcoming Travel
- Arizona Winter School 2020: Nonabelian Chabauty, University of Arizona, March 7-11, 2020
- Oregon Number Theory Days, Oregon State University, February 29, 2020
- CMI-HIMR Summer School on Computational Number Theory, University of Bristol, UK, June 17-28, 2019
- Guest at the Max Planck Institute for Mathematics, Bonn Germany, April 1-May 31, 2019
- 32nd Workshop on Automorphic Forms, Tufts University, March 19-22, 2018
- Arizona Winter School 2018: Iwasawa Theory , University of Arizona, March 3-7, 2018
- * Bounding Lifts of Markoff Triples mod p, with Brenda Chen, Elena Fuchs and Lynnelle Ye. 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. Preprint available at arXiv 2310.17615.
- 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.
Links to Selected Presentations
- Here is a talk I gave for the Pitt AWM Student Seminar Series.
- Here is a contributed talk I gave for the Junior Mathematician Research Archive in August 2020.
- Arizona Winter School 2020: Nonabelian Chabauty, University of Arizona, March 7-11, 2020
- Oregon Number Theory Days, Oregon State University, February 29, 2020
- CMI-HIMR Summer School on Computational Number Theory, University of Bristol, UK, June 17-28, 2019
- Guest at the Max Planck Institute for Mathematics, Bonn Germany, April 1-May 31, 2019
- 32nd Workshop on Automorphic Forms, Tufts University, March 19-22, 2018
- Arizona Winter School 2018: Iwasawa Theory , University of Arizona, March 3-7, 2018