## Papers

My papers can also be found on the

arXiv,

Google Scholar and

MathSciNet.

** Cycles in Mallows random permutations**. [arXiv]

with Tobias Müller and Teun Verstraaten, Submitted.
**Shift invariance of half space integrable models**. [arXiv]

Preprint.
**Universality for low degree factors of random polynomials over finite fields**. [arXiv]

with Huy Tuan Pham and Max Wenqiang Xu, Accepted at *International Mathematics Research Notices*.
**A central limit theorem for cycles of Mallows permutations**. [arXiv]

Note: this has been merged into this paper, although the proof in this version is slightly different.
**Card guessing and the birthday problem for sampling without replacement**. [arXiv]

with Andrea Ottolini, Submitted.
**Mixing time of fractional random walk on finite fields**. [arXiv]

with Huy Tuan Pham and Max Wenqiang Xu, Submitted.
**Markov chains on finite fields with deterministic jumps**. [arXiv, journal]

*Electronic Journal of Probability* (2022).
**The-square-and-add Markov chain**. [arXiv, journal]

with Persi Diaconis and I. Martin Isaacs, *The Mathematical Intelligencer* (2021).
**A central limit theorem for descents of a Mallows permutation and its inverse**. [arXiv, journal]

*Annales de l'Institut Henri Poincaré Probabilités et Statistiques* (2022).
**Random walk on the symplectic forms over a finite field**. [arXiv, journal]

*Algebraic Combinatorics* (2020).
**A characteristic map for the symmetric space of symplectic forms over a finite field**. [arXiv, journal, poster]

*International Mathematics Research Notices* (2022).
**A power series identity and Bessel-type integrals over unitary groups**. [arXiv, journal]

*Journal of Mathematical Physics* (2019).
**A geometric proof of the L**^{2}-singular dichotomy for orbital measure on Lie algebras and groups. [arXiv, journal]

with Kathryn Hare, *Bollettino dell'Unione Matematica Italiana* (2018).
**The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces**. [arXiv, journal]

with Kathryn Hare, *Monatshefte für Mathematik* (2017).
**Smoothness of convolution products of orbital measures on rank one compact symmetric spaces**. [arXiv, journal]

with Kathryn Hare, *Bulletin of the Australian Mathematical Society* (2016).