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Books:


Research articles:

  1. (with L. Héthelyi and B. Külshammer) Conjugacy classes and characters of finite p-groups, Comm. Algebra 39 (2011), 657–685, pdf
  2. Cartan matrices and Brauer's k(B)-conjecture, J. Algebra 331 (2011), 416–427, pdf
  3. Cartan matrices and Brauer's k(B)-conjecture II, J. Algebra 337 (2011), 345–362, pdf
  4. 2-Blocks with minimal nonabelian defect groups, J. Algebra 337 (2011), 261–284, pdf
  5. Fusion systems on metacyclic 2-groups, Osaka J. Math. 49 (2012), 325–329, pdf
  6. Blocks with defect group D2n × C2m , J. Pure Appl. Algebra 216 (2012), 119–125, pdf
  7. (with C. W. Eaton and B. Külshammer) 2-Blocks with minimal nonabelian defect groups II, J. Group Theory 15 (2012), 311–321, pdf
  8. (with B. Külshammer) The 2-blocks of defect 4, Represent. Theory 17 (2013), 226–236, pdf
  9. Brauer's Height Zero Conjecture for metacyclic defect groups, Pacific J. Math. 262 (2013), 481–507, pdf
  10. Blocks with central product defect group D2n ∗ C2m, Proc. Amer. Math. Soc. 141 (2013), 4057–4069, pdf
  11. Blocks with defect group Q2n × C2m and SD2n × C2m, Algebr. Represent. Theory 16 (2013), 1717–1732, pdf
  12. Further evidence for conjectures in block theory, Algebra Number Theory 7 (2013), 2241–2273, pdf
  13. (with L. Héthelyi and B. Külshammer) A note on Olsson's Conjecture, J. Algebra 398 (2014), 364–385, pdf
  14. (with C. W. Eaton, R. Kessar and B. Külshammer) 2-blocks with abelian defect groups, Adv. Math. 254 (2014), 706–735, pdf
  15. On the Brauer-Feit bound for abelian defect groups, Math. Z. 276 (2014), 785–797, pdf
  16. (with B. Külshammer, G. Navarro and P. H. Tiep) Finite groups with two conjugacy classes of p-elements and related questions for p-blocks, Bull. London Math. Soc. 46 (2014), 305–314, pdf
  17. (with S. Koshitani and B. Külshammer) On Loewy lengths of blocks, Math. Proc. Cambridge Philos. Soc. 156 (2014), 555–570, pdf
  18. Exponent and p-rank of finite p-groups and applications, Arch. Math. (Basel) 103 (2014), 11–20, pdf
  19. (with L. Héthelyi, R. Kessar and B. Külshammer) Blocks with transitive fusion systems, J. Algebra 424 (2015), 190–207, pdf
  20. Cartan matrices and Brauer's k(B)-Conjecture III, Manuscripta Math. 146 (2015), 505–518, pdf
  21. The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups, Proc. Amer. Math. Soc. 143 (2015), 4291–4304, pdf
  22. Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Internat. J. Algebra Comput. 25 (2015), 951–976, pdf
  23. 2-Blocks with minimal nonabelian defect groups III, Pacific J. Math. 280 (2016), 475–487, pdf
  24. Fusion systems on bicyclic 2-groups, Proc. Edinb. Math. Soc. 59 (2016), 989–1018, pdf
  25. (with P. Landrock) On centers of blocks with one simple module, J. Algebra 472 (2017), 339–368, pdf
  26. On blocks with abelian defect groups of small rank, Results Math. 71 (2017), 411–422, pdf
  27. (with G. Navarro) A counterexample to Feit's Problem VIII on decomposition numbers, J. Algebra 477 (2017), 494–495, pdf
  28. Cartan matrices and Brauer's k(B)-Conjecture IV, J. Math. Soc. Japan 69 (2017), 735–754, pdf
  29. Isotypies for the quasisimple groups with exceptional Schur multiplier, J. Algebra Appl. 16 (2017), 1750078, pdf
  30. On a theorem of Blichfeldt, Expo. Math. 35 (2017), 221–255, pdf
  31. Refinements of the orthogonality relations for blocks, Algebr. Represent. Theory 20 (2017), 1109–1131, pdf
  32. (with G. Malle and G. Navarro) On defects of characters and decomposition numbers, Algebra Number Theory 11 (2017), 1357–1384, pdf
  33. A counterexample to a conjecture of Wada, J. Algebra 489 (2017), 582–585, pdf
  34. Regular orbits of coprime linear groups in large characteristic, Bull. Aust. Math. Soc. 96 (2017), 438–444, pdf
  35. (with G. Navarro and P. H. Tiep) Characters and Sylow 2-subgroups of maximal class revisited, J. Pure Appl. Algebra 222 (2018), 3721–3732, pdf
  36. Solution of Brauer's k(B)-Conjecture for pi-blocks of pi-separable groups, Forum Math. 30 (2018), 1061–1064, pdf
  37. (with A. Bächle) Groups whose elements are not conjugate to their powers, Arch. Math. 110 (2018), 447–454, pdf
  38. (with G. Navarro) On the blockwise modular isomorphism problem, Manuscripta Math. 157 (2018), 263–278, pdf
  39. (with B. Külshammer) Loewy lengths of centers of blocks, Q. J. Math. 69 (2018), 855–870, pdf
  40. Remarks on Harada's Conjecture, Israel J. Math. 228 (2018), 513–526, pdf
  41. Morita equivalent blocks of symmetric groups, SIGMA 14 (2018), 100, 8 pages, GAP code for Conjecture 1, GAP code for Conjecture 2, Magma code for Conjecture 2
  42. On the projective height zero conjecture, Proc. Amer. Math. Soc. 147 (2019), 487–488, pdf
  43. Pseudo Sylow numbers, Amer. Math. Monthly 126 (2019), 60–65, pdf
  44. (with B. Külshammer and Y. Otokita) Loewy lengths of centers of blocks II, Nagoya Math. J. 234 (2019), 127–138, pdf
  45. Pseudo Frobenius numbers, Expo. Math. 37 (2019), 200–206, pdf
  46. Bounding the number of characters in a block of a finite group, Adv. Math. 358 (2019), 106861, 20 pp., pdf
  47. (with I. M. Isaacs and G. Navarro) Irreducible extensions of characters, appears in Israel J. Math., pdf
  48. (with E. Giannelli) On restriction of characters to defect groups, appears in J. Algebra, pdf
  49. Landau's Theorem for pi-blocks of pi-separable groups, appears in Adv. Group Theory Appl., pdf
  50. (with G. Navarro) Weights and nilpotent subgroups, appears in Int. Math. Res. Not., pdf
  51. (with A. Bächle) Orders generated by character values, appears in Monatsh. Math., pdf
  52. On a theorem of Ledermann and Neumann, appears in Amer. Math. Monthly, pdf
  53. Survey on perfect isometries, appears in Rocky Mountain J. Math., pdf
  54. (with E. Giannelli, N. Rizo and A. A. Schaeffer Fry) Groups with few p'-characters degrees in the principal block, submitted, pdf
  55. (with C. G. Ardito) Cartan matrices and Brauer's k(B)-Conjecture V, submitted, pdf
Some of my papers are also on arXiv.
Here are my profiles on ORCID, MathSciNet and zbMATH. I am not on ResearchGate (although they created an inaccurate account on my name).

If you find any mistakes/typos please let me know.