Curriculum Vitae

Employment

Visiting Assistant Professor

University of Rochester, Fall 2023 – Present

Education

Ph.D. in Pure Mathematics

Brown University, Fall 2018 – Spring 2023

  • Advisor: Joseph H. Silverman.
  • Dissertation: Dynamical Galois Representations.
  • Topics Exam: on Shinichi Mochizuki’s, “A Version of the Grothendieck Conjecture for \(p\)-adic Local Fields”.
  • Received the departmental graduate teaching award.

M.A. in Literary Translation

University of Rochester, Fall 2024 – Present

  • Advisor: Stella Wang.
  • Studying links between mathematics, poetry, and translation. Transcribing, annotating, and translating the poetry of Zhū Shúzhēn (Medieval/Classical Chinese). Exploring back-translation as an analogue of monodromy.

Honors B.S. Mathematics and B.S. Chemical Engineering

University of Rochester, Fall 2014 – Spring 2018

  • Two separate degrees earned simultaneously.
  • Honors thesis for mathematics on the Ax-Kochen-Erov theorem.
  • Member of both Phi Beta Kappa and Tau Beta Pi.
  • Awarded both the Stoddard and Gale prizes for best undergraduate mathematics major(s).

Publications

  1. Semiconjugacy and Self-Similar Subgroups of pfIMGs. August 2025.
    Preprint: arXiv:2508.12122.

  2. (joint with Trevor Hyde) Profinite Iterated Monodromy Groups of Unicritical Polynomials. April 2025.
    Preprint: arXiv:2504.13028. (submitted)

  3. A Dynamical Analogue of the Criterion of Néron-Ogg-Shafarevich. July 2022.
    Preprint: arXiv:2208.00359. (submitted)

  4. A Dynamical Analogue of Sen’s Theorem.
    International Mathematics Research Notices, Volume 2023, Issue 9, pages 7502-7540.

  5. Conditions for Solvability in Chemical Reaction Networks at Quasi-Steady-State.
    Preprint: arXiv:1712.05533. (undergraduate, currently unpublished)

Project Supervision

The University of Rochester

Fall 2023 – Present

  1. Alhussein Khalil, anticipated Spring 2026. Undergraduate honors thesis on arithmetic dynamics, likely around iterated monodromy.

  2. Nicolas Arnold, Fall 2025 – Present (masters). Independent study on iterated monodromy groups.

  3. Aiden Rohrbach, Summer 2025 – Present (undergraduate). Independent study on iterated monodromy groups.

  4. Alhussein Khalil, Summer 2025 – Present (undergraduate). Investigating iterated monodromy groups, especially their Frattini subgroups, continuing the VIGOUR project below.

  5. June Terzioglu, Spring 2025. Undergraduate honors thesis on (p)-adic numbers and higher ramification. Title: “Higher ramification and a theorem of Deligne”.

  6. John Nguyen, Yu Xin, Yuankun (Kunko) Zou, Spring 2025 – Present. Developing materials for an applied mathematics course (c.f. teaching grants below).

  7. (With other faculty: Thomas Tucker and Jonathan Pakianathan) Spring 2025. Supervising a “VIGOUR” undergraduate research group on the Frattini subgroups of profinite iterated monodromy groups.

  8. (With other faculty: Stella Wang) Spring 2024 – Present. Trail mapping project in collaboration with the Ganondagan State Historic Site.

Grants and Fellowships

The current grants and fellowships are almost all in support of designing and teaching Math 280: Numerical Analysis, the core course for the applied mathematics major at the University of Rochester.

Student Course Development Project

University of Rochester Teaching Center. Summer 2025. (~$5000)

Funding to hire a student for half the summer to develop new course materials for an applied mathematics course. Based on a version of the course taught in Fall 2024 currently being taught again in Fall 2025.

River Campus Libraries Open Educational Grant

University of Rochester Libraries. Spring 2025 – Present. (~$2000)

Further funding to hire students to develop new course materials for an applied mathematics course.

Teaching Center Pedagogical Fellowships

University of Rochester Teaching Center. Various dates.

  • Peer Observation Fellowship. Spring 2025. ($500)
    Learning how to observe and provide feedback to other instructors, including observing each other’s classes.
  • College Course Development Fellowship. Summer 2024 – Fall 2024. ($1000)
    Working closely with the teaching center over two semesters to redesign the applied mathematics course to incorporate projects and programming.
  • Transparent Assignment Design Fellowship. Spring 2024. ($500)
    Learning the TILT methodology for transparent assignment design.

Talks and Workshops

  1. Brown University. March 2025. “Profinite Iterated Monodromy Groups of Unicritical Polynomials”. (invited)
  2. University of Rochester. February 2025. “Solving Equations”. (invited by U of R’s Society of Undergraduate Mathematics Students)
  3. (with Stella Wang) Institute for the Performing Arts, University of Rochester. January 2025. “Soldering with Air: Toward a Multi-Disciplinary Understanding of Translation”.
  4. Vassar College. September 2024. “\(p\)-adic numbers”. (invited)
  5. AIM Workshop. June 2024. “Outer actions in arithmetic dynamics”. (invited)
  6. Joint Mathematics Meeting. January 2023. “Ramification in Dynamical Extensions”. (invited)
  7. University of Rochester. November 2022. “Anabelian Phenomena in Dynamics” (invited, prior to postdoc)
  8. Dynamics Workshop at Harvard. Spring 2022. “A Dynamical Analogue of Sen’s Theorem”.

Courses Taught

The University of Rochester (postdoc)

Fall 2023 – Present

As course coordinator or sole instructor:

  • Spring 2026 (upcoming). Math 237: Algebra II (Honors Galois Theory).
  • Spring 2026 (upcoming). Math 141: Calculus I (first half).
  • Fall 2025. Math 280: Introduction to Numerical Analysis.
  • Spring 2025. Math 218: Mathematical Models in the Life Sciences.
  • Spring 2025. Math 141: Calculus I (first half).
  • Fall 2024. Math 280: Introduction to Numerical Analysis.
  • Summer 2024. Math 130: Excursions in Mathematics (a course for incarcerated students, through the Rochester Educational Justice Initiative).
  • Spring 2024. Math 141: Calculus I (first half).
  • Fall 2023. Math 230: Number Theory.

Co-taught sections:

  • Spring 2026 (upcoming). Math 141: Calculus I (first half).
  • Fall 2025. Math 141: Calculus I (first half).
  • Fall 2024. Math 141: Calculus I (first half).
  • Spring 2024. Math 162: Calculus II
  • Fall 2023. Math 141: Calculus I (first half).

Brown University (grad)

Fall 2019 – Spring 2023

As teaching fellow/instructor of record:

  • Spring 2023. Math 60: Analytic Geometry and Calculus II.
  • Fall 2022. Math 50: Analytic Geometry and Calculus I.
  • Spring 2022. Math 420: Introduction to Number Theory.
  • Fall 2021. Math 50: Analytic Geometry and Calculus I.

As teaching assistant:

  • Fall 2019, Summer 2021, Spring 2020. Math 100: Calculus II.
  • Spring 2021. Math 180: Intermediate Calculus (multivariable).