List of publications
Representation Theory
Sum of the squares of the p'-character degrees (with J. Miquel Martínez and Gabriel Navarro).
Pacific J. Math., to appear. 29pp. (arXiv)
The p-rationality of height-zero characters (with A. A. Schaeffer Fry).
Nagoya Math. J. 261 (2026), Paper No. e7, 22pp. (arXiv)
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)
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)
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)
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)
Height zero characters in principal blocks (with A. A. Schaeffer Fry and Carolina Vallejo).
J. Algebra 622 (2023), 197-219. (preprint) (journal)
On almost p-rational characters of p'-degree (with Gunter Malle and Attila Maróti).
Forum Math. 34 (2022), 1475-1496. (arXiv) (journal)
On Hethelyi-Kulshammer’s conjecture for principal blocks (with A. A. Schaeffer Fry).
Algebra Number Theory 17 (2023), 1127-1151. (arXiv) (journal)
A lower bound for the number of odd-degree representations of a finite group (with Thomas M. Keller and Yong Yang).
Math. Z. 298 (2021), 1559-1572. (arXiv) (journal)
Complex group algebras of the double covers of the symmetric and alternating groups (with Christine Bessenrodt, Jørn B. Olsson, and Hung P. Tong-Viet).
Algebra Number Theory 9 (2015), 601-628. (arXiv) (journal)
Characterizing finite quasisimple groups by their complex group algebras (with Hung P. Tong-Viet).
Algebr. Represent. Theory 17 (2014), 305-320. (journal)
Quasisimple classical groups and their complex group algebras.
Israel J. Math. 195 (2013), 973-998. (arXiv) (journal)
Low-dimensional complex characters of the symplectic and orthogonal groups.
Comm. Algebra 38 (2010), 1157-1197. (arXiv) (journal)
On the restriction of cross characteristic representations of 2F4(q) to proper subgroups (with Frank Himstedt and Pham Huu Tiep).
Arch. Math. 93 (2009), 415-423. (arXiv) (journal)
Cross characteristic representations of 3D4(q) are reducible over proper subgroups (with Pham Huu Tiep).
J. Group Theory 11 (2008), 657-668. (arXiv) (journal)
Irreducible restrictions of Brauer characters of the Chevalley group G2(q) to its proper subgroups.
J. Algebra 320 (2008), 1364-1390. (arXiv) (journal)
Group Theory
Wreath products and the non-coprime k(GV) problem (with Attila Maróti and Juan Martínez Madrid).
Submitted. 17pp. (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)
p–Regular conjugacy classes and p-rational irreducible characters (with Attila Maróti).
J. Algebra 607 (2022), special issue dedicated to Jan Saxl, 387-425. (arXiv) (journal)
On the prime divisors of element orders (with Yong Yang).
Math. Nachr. 10 (2021), 1905-1911. (preprint)(journal)
Variations of Landau's theorem for p-regular and p-singular conjugacy classes (with Alexander Moretó).
Israel J. Math. 212 (2016), 961-987. (arXiv) (journal)
On the commuting probability and supersolvability of finite groups (with Paul Lescot and Yong Yang).
Monatsh. Math. 174 (2014), 567-576. (journal)
On the number of conjugacy classes of π-elements in finite groups (with Attila Maróti).
Arch. Math. 102 (2014), 101-108. (arXiv) (journal)
Conjugacy classes of small sizes in the linear and unitary groups (with Shawn T. Burkett).
J. Group Theory 16 (2013), 851-874. (journal)
On the permutation modules for orthogonal groups O(m,3) acting on nonsingular points of their standard modules (with Jonathan I. Hall).
J. Pure Appl. Algebra 216 (2012), 581-592. (arXiv) (journal)
Multiplicities of conjugacy class sizes of finite groups.
J. Algebra 341 (2011), 250-255. (arXiv) (journal)
The structure of rank 3 permutation modules for O(2n,2) and U(m,2) acting on nonsingular points (with Jonathan I. Hall).
J. Algebra 333 (2011), 295-317. (arXiv) (journal)
Character Theory
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)
Degrees and fields of values of irreducible characters (with Pham Huu Tiep).
Eur. J. Math. 9 (2023), paper no. 37, 17pp. Irina Suprunenko memorial issue. (preprint) (journal)
A remark on a conjecture of Navarro and Tiep (with Awildo Gutierrez, Yuqiao Huang, Duncan Peckham, and Yong Yang).
Comm. Algebra 51 (2023), 150-156. (preprint, REU undergraduate project) (journal)
Characters of π’-degree and small cyclotomic fields (with Eugenio Giannelli, A. A. Schaeffer Fry, and Carolina Vallejo).
Ann. Mat. Pura Appl. 200 (2021), 1055-1073. (preprint) (journal)
On the geometric mean of character degrees of a finite group.
Albanian J. Math. 15 (2021), 3-9. (journal)
On the sum of character degrees coprime to p and p-nilpotency of finite groups (with Hongfei Pan and Yong Yang).
J. Pure Appl. Algebra 225 (2021), 106691, 18pp. (journal)
Even character degrees and normal Sylow 2-subgroups (with Shuqin Dong and Hongfei Pan).
J. Group Theory 24 (2021), 195-205. (journal)
The average character degree and an improvement of the Itô-Michler theorem (with Pham Huu Tiep).
J. Algebra 550 (2020), 86-107. (arXiv) (journal)
On the number of irreducible real-valued characters of a finite group (with A. A. Schaeffer Fry, Hung P. Tong-Viet, and C. Ryan Vinroot).
J. Algebra 555 (2020), 275-288. (arXiv) (journal)
Abelian subgroups, nilpotent subgroups, and the largest character degree of a finite group (with Yong Yang).
J. Algebra 551 (2020), 285-300. (arXiv) (journal)
Irreducible characters of even degree and normal Sylow 2-subgroups (with Pham Huu Tiep).
Math. Proc. Cambridge Philos. Soc. 162 (2017), 353-365. (arXiv) (journal)
Characters of p’-degree and Thompson’s character degree theorem.
Rev. Mat. Iberoam. 33 (2017), 117-138. (arXiv) (journal)
Finite groups with an irreducible character of large degree (with Mark L. Lewis and A. A. Schaeffer Fry).
Manuscripta Math. 149 (2016), 523-546. (arXiv) (journal)
The largest character degrees of the symmetric and alternating groups (with Zoltán Halasi and Carolin Hannusch).
Proceedings of the AMS 144 (2016), 1947– 1960. (arXiv) (journal)
The character degree ratio and composition factors of a finite group (with Mark L. Lewis).
Monatsh. Math. 180 (2016), 289-294. (arXiv) (journal)
On a conjecture of Gluck (with James P. Cossey, Zoltán Halasi, and Attila Maróti).
Math. Z. 279 (2015), 1067-1080. (arXiv) (journal)
Extending Huppert's conjecture from non-abelian simple groups to quasi-simple groups (with Philani Majozi, Hung P. Tong-Viet, and Thomas P. Wakefield).
Illinois J. Math. 59 (2015), 901-924. (journal)
Recognition of finite quasi-simple groups by the degrees of their irreducible representations (with Hung P. Tong-Viet).
Groups St Andrews 2013, London Math. Soc. Lecture Note Ser. 422, Cambridge Univ. Press, 2015, 439-456. (preprint) (journal)
Character degree sums of finite groups (with Attila Maróti).
Forum Math. 27 (2015), 2453-2465. (arXiv) (journal)
On Huppert's conjecture for alternating groups of low degrees (with Hung P. Tong-Viet and Thomas P. Wakefield).
Algebra Colloq. 22 (2015), 293-308. (journal)
Controlling composition factors of a finite group by its character degree ratio (with James P. Cossey).
J. Algebra 403 (2014), 185-200. (arXiv) (journal)
On the average character degree of finite groups (with Alexander Moretó).
Bull. Lond. Math. Soc. 46 (2014), 454-462. (arXiv) (journal)
Projective special linear groups PSL(4,q) are determined by the set of their character degrees (with Hung P. Tong-Viet and Thomas P. Wakefield).
J. Algebra Appl. 11 (2012), 1250108, 26 pages. (arXiv) (journal)