List of Publications

 

My published papers can be found on MathSciNet or Google Scholar. Copies of some manuscripts are available on arXiv.

0. Representations of finite groups of Lie type.

††† PhD dissertation, University of Florida, 2008. (pdf file)

 

1. Irreducible restrictions of† Brauer characters of the Chevalley group G2(q) to its proper subgroups.

†††† J. Algebra 320 (2008), 1364-1390. (arXiv) (journal)

 

2. Cross characteristic representations of 3D4(q) are reducible over proper subgroups.

††† (with Pham Huu Tiep)

††† J. Group Theory 11 (2008), 657-668. (arXiv) (journal)

 

3. 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)

 

4. Low-dimensional complex characters of the symplectic and orthogonal groups.

††† Comm. Algebra 38 (2010), 1157-1197. (arXiv) (journal)

 

5. 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)

 

6. Multiplicities of conjugacy class sizes of finite groups.

††† J. Algebra 341 (2011), 250-255. (arXiv) (journal)

 

7. 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)

 

8. 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)

 

9. Quasisimple classical groups and their complex group algebras.

††††† Israel J. Math. 195 (2013), 973-998. (arXiv) (journal)

 

10. 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. (preprint) (journal)

 

11. Conjugacy classes of small sizes in the linear and unitary groups.††

††††† (with Shawn T. Burkett)

††††† J. Group Theory 16 (2013), 851-874. (preprint) (journal)

 

12. Characterizing finite quasisimple groups by their complex group algebras.

††††† (with Hung P. Tong-Viet)

††††† Algebr. Represent. Theory 17 (2014), 305-320. (preprint) (journal)

 

13. On the commuting probability and supersolvability of finite groups.

††††† (with Paul Lescot and Yong Yang)

††††† Monatsh. Math. 174 (2014), 567-576. (preprint) (journal)

 

14. Character degree sums of finite groups.

††††† (with Attila Marůti)

††††† Forum Math. 27 (2015), 2453-2465. (arXiv) (journal)

 

15. 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. 422Cambridge Univ. Press, 2015, 439-456. (preprint) (journal)

 

16. On the number of conjugacy classes of π-elements in finite groups.

††††† (with Attila Marůti)

††††† Arch. Math. 102 (2014), 101-108. (preprint) (arXiv) (journal)

 

17. On the average character degree of finite groups.

††††† (with Alexander Moretů)

††††† Bull. Lond. Math. Soc. 46 (2014), 454-462. (preprint) (arXiv) (journal)

 

18. Controlling composition factors of a finite group by its character degree ratio.

††††† (with James P. Cossey)

††††† J. Algebra 403 (2014), 185-200. (preprint) (arXiv) (journal)

 

19. Complex group algebras of the double covers of the symmetric and alternating groups.

††††† (with Christine Bessenrodt, JÝrn B. Olsson, and Hung P. Tong-Viet)

††††† Algebra Number Theory 9 (2015), 601-628. (arXiv) (journal)

 

20. Variations of Landau's theorem for p-regular and p-singular conjugacy classes.

††††† (with Alexander Moretů)

††††† Israel J. Math. 212 (2016), 961-987. (arXiv) (journal)

 

21. On a conjecture of Gluck.

††††† (with James P. Cossey, ZoltŠn Halasi, and Attila Marůti)

††††† Math. Z. 279 (2015), 1067-1080. (arXiv) (journal)

 

22. The largest character degrees of the symmetric and alternating groups.

††††† (with ZoltŠn Halasi and Carolin Hannusch)

††††† Proceedings of the AMS 144 (2016), 1947Ė 1960. (arXiv) (journal)

 

23. The character degree ratio and composition factors of a finite group.

††††† (with Mark L. Lewis)

††††† Monatsh. Math. 180 (2016), 289-294. (arXiv) (journal)

 

24. Characters of pí-degree and Thompsonís character degree theorem.

††††† Rev. Mat. Iberoam. 33 (2017), 117-138. (arXiv) (journal)

 

25. 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)

 

26. Finite groups with an irreducible character of large degree.

††††† (with Mark L. Lewis and Amanda A. Schaeffer Fry)

††††† Manuscripta Math. 149 (2016), 523-546. (arXiv) (journal)

 

27. 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., to appear.††††††††

 

 

Homepage†††† Teaching†††† Conferences†††† Links

 

Last updated on January 2017.