My published papers can be found on MathSciNet. Some manuscripts are available on ArXiv.
My research has been supported by AMS–Simons Research Enhancement Grant (AWD-000167 AMS), NSA Young Investigator Grant (H98230-14-1-0293), UA Faculty Research Grant (FRG 1747), BCAS Faculty Scholarship Award, NSF Conference Grant, NSA Conference Grant, and VINIF Conference Grant.
Preprints
On the p-rationality of Deligne--Lusztig characters.
Submitted. 20pp. (arXiv)
Commuting probability and subgroups of finite groups (with Hongfei Pan)
Submitted. 16pp.
Character values and conductors of low-rank groups of Lie type (with Christopher Herbig).
Submitted. 21pp. (arXiv)
Primes and the field of values of characters (with Gabriel Navarro and Pham Huu Tiep).
Submitted. 17pp. (arXiv)
Publications
Hall π-subgroups and characters of π’-degree (with Eugenio Giannelli).
Proc. Amer. Math. Soc., to appear. 11pp. (arXiv)
Problems on the conductor of finite group characters.
Acta Math. Vietnam. 51 2026, 337-251. (arXiv) (journal)
Sum of the squares of the p'-character degrees (with J. Miquel Martínez and Gabriel Navarro).
Pacific J. Math. 342 (2026), No. 2, 351-380. (arXiv) (journal)
The p-rationality of height-zero characters (with A. A. Schaeffer Fry).
Nagoya Math. J. 261 (2026), Paper No. e7, 22pp. (arXiv) (journal)
The field of values of prime-degree characters and Feit's conjecture (with Pham Huu Tiep and Alexandre E. Zalesski).
Math. Z. 309 (2025), Paper No. 32, 19pp. (preprint) (journal)
The codegree isomorphism problem for finite simple groups II (with Alexander Moretó).
Quarterly J. Math. 76 (2025), 237-250. (arXiv) (journal)
Common zeros of irreducible characters (with Alexander Moretó and Lucia Morotti).
J. Aust. Math. Soc. 117 (2024), 105-129. (arXiv) (journal)
The codegree isomorphism problem for finite simple groups (with Alexander Moretó).
Quarterly J. Math. 75 (2024), 1157-1179. (arXiv) (journal)
Principal blocks with six ordinary irreducible characters (with A. A. Schaeffer Fry and Carolina Vallejo).
J. Algebra 655 (2024), 517-536. Special issue in memory of Georgia Benkart, 18pp. (arXiv) (journal)
The continuity of p-rationality and a lower bound for p'-degree characters of finite groups.
Trans. Amer. Math. Soc. 377 (2024), 323-344. (arXiv) (journal)
Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements (with Benjamin Sambale and Pham Huu Tiep).
Israel J. Math. 262 (2024), 327-358. (arXiv) (journal)
Conjugacy classes of π-elements and nilpotent/abelian Hall π-subgroups (with Attila Maróti and Juan Martínez).
Pacific J. Math. 323 (2023), 185-204. (arXiv) (journal)
On Hethelyi-Kulshammer’s conjecture for principal blocks (with A. A. Schaeffer Fry).
Algebra Number Theory 17 (2023), 1127-1151. (arXiv) (journal)