Books
Endliche Permutationsgruppen, Springer Spektrum, Wiesbaden, 2017
errata, MAGMA code zu Bem 8.28, GAP code zu Bem 8.28, zu Satz 10.23, zu Satz 11.3Blocks of finite groups and their invariants, Lecture Notes in Math. 2127, Springer-Verlag, Cham, 2014, pdf (Habilitation thesis, Caution: pdf file has different numbering than actual book), errata
2-Blöcke mit metazyklischen und minimal nichtabelschen Defektgruppen, Südwestdeutscher Verlag für Hochschulschriften, Saarbrücken, 2011, pdf (Dissertation)
Research articles (in reverse chronological order)
Characterizing inner automorphisms and realizing outer automorphisms, submitted, pdf
Groups with supersolvable automorphism group, submitted, pdf
Fusion invariant characters of p-groups, submitted, pdf
(with P. J. Cameron, D. Craven, H. R. Dorbidi) Minimal cover groups, submitted, pdf
(with S. Koshitani and C. Lassueur) Principal 2-blocks with wreathed defect groups up to splendid Morita equivalence, appears in Ann. Rep. Theory, pdf
On a fixed point formula of Navarro-Rizo, appears in Proc. Amer. Math. Soc., pdf
(with N. N. Hung and P. H. Tiep) Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements, appears in Israel J. Math., pdf (accepted in May 2022, huge backlog, avoid)
(with P. Bhowal, P. J. Cameron, R. K. Nath) Genus and crosscap of solvable conjugacy class graphs of finite groups, Arch. Math. 122 (2024), 475–489, pdf
Real characters in nilpotent blocks, Vietnam J. Math. (special issue) 52 (2024), 421–433, pdf
On redundant Sylow subgroups, J. Algebra 650 (2024), 1–9, pdf
(with S. Aivazidis and M. Loukaki) Common transversals and complements in abelian groups, J. Algebraic Combin. 59 (2024), 581–595, pdf
Groups of p-central type, Math. Z. 306 (2024), no. 3, pdf
(with D. Benson) Finite dimensional algebras not arising as blocks of group algebras, Forum Math. 36 (2024), 389–402, pdf
Real blocks with dihedral defect groups revisited, Bull. Aust. Math. Soc. 109 (2024), 327–341, pdf
On the converse of Gaschütz' complement theorem, J. Group Theory 26 (2023), 931–949, pdf (improved version)
Character table sudokus, Arch. Math. 121 (2023), 23–32, pdf
(with A. Moretó) Groups with 2-generated Sylow subgroups and their character tables, Pacific J. Math. 323 (2023), 337–358, pdf
(with G. Navarro) Characters, Commutators and Centers of Sylow Subgroups, Represent. Theory 27 (2023), 717–733, pdf
(with P. Bhowal, P. J. Cameron and R. K. Nath) Solvable conjugacy class graph of groups, Discrete Math. 346 (2023), 113467, pdf
(with J. Murray) A solution to Brauer's Problem 14, J. Algebra 621 (2023), 87–91 , pdf
An invitation to formal power series, Jahresber. Dtsch. Math.-Ver. 125 (2023), 3–69, pdf (improved version)
(with G. Navarro) Alternating sums over pi-subgroups, J. Pure Appl. Algebra 227 (2023), 107227, pdf
(with C. G. Ardito) Cartan matrices and Brauer's k(B)-Conjecture V, J. Algebra 606 (2022), 670–699, pdf
(with P. Wellmann) On a bound of Cocke and Venkataraman, Monatsh. Math. 197 (2022), 505–515, pdf, small group ids
(with M. Tărnăuceanu) On the size of coset unions, J. Algebraic Combin., 55 (2022), 979–987, pdf
(with S. Koshitani and C. Lassueur) Splendid Morita equivalences for principal blocks with semidihedral defect groups, Proc. Amer. Math. Soc., 150 (2022), 41–53, pdf
(with C. G. Ardito) Broué's Conjecture for 2-blocks with elementary abelian defect groups of order 32, Adv. Group Theory Appl. 12 (2021), 71–78, pdf
(with D. Rossi) Restrictions of characters in p-solvable groups, J. Algebra 587 (2021), 130–141, pdf
The reciprocal character of the conjugation action, Publ. Math. Debrecen 99 (2021), 243–260, pdf
Generalized bases of finite groups, Arch. Math. 117 (2021), 9–18, pdf
Blocks with small-dimensional basic algebra, Bull. Aust. Math. Soc., 103 (2021), 461–474, pdf
(with G. Navarro) Weights and nilpotent subgroups, Int. Math. Res. Not. 2021 (2021), 2526–2538, pdf
Survey on perfect isometries, Rocky Mountain J. Math. 50 (2020), 1517–1539, pdf
On a theorem of Ledermann and Neumann, Amer. Math. Monthly 127 (2020), 827–834, pdf
(with E. Giannelli, N. Rizo and A. A. Schaeffer Fry) Groups with few p'-characters degrees in the principal block, Proc. Amer. Math. Soc. 148 (2020), 4597–4614, pdf
Character tables and defect groups, J. Algebra 562 (2020), 323–340, pdf
(with E. Giannelli) On restriction of characters to defect groups, J. Algebra 558 (2020), 423–433, pdf
(with A. Bächle) Orders generated by character values, Monatsh. Math. 191 (2020), 665–678, pdf
Landau's Theorem for pi-blocks of pi-separable groups, appears in Adv. Group Theory Appl. 8 (2019), 103–115, pdf
(with I. M. Isaacs and G. Navarro) Irreducible extensions of characters, Israel J. Math. 234 (2019), 629–644, pdf
Bounding the number of characters in a block of a finite group, Adv. Math. 358 (2019), 106861, 20 pp. pdf
Pseudo Frobenius numbers, Expo. Math. 37 (2019), 200–206, pdf
(with B. Külshammer and Y. Otokita) Loewy lengths of centers of blocks II, Nagoya Math. J. 234 (2019), 127–138, pdf
Pseudo Sylow numbers, Amer. Math. Monthly 126 (2019), 60–65, pdf
On the projective height zero conjecture, Proc. Amer. Math. Soc. 147 (2019), 487–488, pdf
Morita equivalent blocks of symmetric groups, SIGMA 14 (2018), 100, 8 pages, pdf, GAP code for Conjecture 1, GAP code for Conjecture 2, Magma code for Conjecture 2
Remarks on Harada's Conjecture, Israel J. Math. 228 (2018), 513–526, pdf
(with B. Külshammer) Loewy lengths of centers of blocks, Q. J. Math. 69 (2018), 855–870, pdf
(with G. Navarro) On the blockwise modular isomorphism problem, Manuscripta Math. 157 (2018), 263–278, pdf
(with A. Bächle) Groups whose elements are not conjugate to their powers, Arch. Math. 110 (2018), 447–454, pdf
Solution of Brauer's k(B)-Conjecture for pi-blocks of pi-separable groups, Forum Math. 30 (2018), 1061–1064, pdf
(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
Regular orbits of coprime linear groups in large characteristic, Bull. Aust. Math. Soc. 96 (2017), 438–444, pdf
A counterexample to a conjecture of Wada, J. Algebra 489 (2017), 582–585, pdf
(with G. Malle and G. Navarro) On defects of characters and decomposition numbers, Algebra Number Theory 11 (2017), 1357–1384, pdf
Refinements of the orthogonality relations for blocks, Algebr. Represent. Theory 20 (2017), 1109–1131, pdf
On a theorem of Blichfeldt, Expo. Math. 35 (2017), 221–225, pdf (simplified version)
Isotypies for the quasisimple groups with exceptional Schur multiplier, J. Algebra Appl. 16 (2017), 1750078, pdf
Cartan matrices and Brauer's k(B)-Conjecture IV, J. Math. Soc. Japan 69 (2017), 735–754, pdf
(with G. Navarro) A counterexample to Feit's Problem VIII on decomposition numbers, J. Algebra 477 (2017), 494–495, pdf
On blocks with abelian defect groups of small rank, Results Math. 71 (2017), 411–422, pdf
(with P. Landrock) On centers of blocks with one simple module, J. Algebra 472 (2017), 339–368, pdf
Fusion systems on bicyclic 2-groups, Proc. Edinb. Math. Soc. 59 (2016), 989–1018, pdf
2-Blocks with minimal nonabelian defect groups III, Pacific J. Math. 280 (2016), 475–487, pdf
Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Internat. J. Algebra Comput. 25 (2015), 951–976, pdf
The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups, Proc. Amer. Math. Soc. 143 (2015), 4291–4304, pdf
Cartan matrices and Brauer's k(B)-Conjecture III, Manuscripta Math. 146 (2015), 505–518, pdf
(with L. Héthelyi, R. Kessar and B. Külshammer) Blocks with transitive fusion systems, J. Algebra 424 (2015), 190–207, pdf
Exponent and p-rank of finite p-groups and applications, Arch. Math. (Basel) 103 (2014), 11–20, pdf
(with S. Koshitani and B. Külshammer) On Loewy lengths of blocks, Math. Proc. Cambridge Philos. Soc. 156 (2014), 555–570, pdf
(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
On the Brauer-Feit bound for abelian defect groups, Math. Z. 276 (2014), 785–797, pdf
(with C. W. Eaton, R. Kessar and B. Külshammer) 2-blocks with abelian defect groups, Adv. Math. 254 (2014), 706–735, pdf
(with L. Héthelyi and B. Külshammer) A note on Olsson's Conjecture, J. Algebra 398 (2014), 364–385, pdf
Further evidence for conjectures in block theory, Algebra Number Theory 7 (2013), 2241–2273, pdf
Blocks with defect group Q2n × C2m and SD2n × C2m, Algebr. Represent. Theory 16 (2013), 1717–1732, pdf
Blocks with central product defect group D2n ∗ C2m, Proc. Amer. Math. Soc. 141 (2013), 4057–4069, pdf
Brauer's Height Zero Conjecture for metacyclic defect groups, Pacific J. Math. 262 (2013), 481–507, pdf
(with B. Külshammer) The 2-blocks of defect 4, Represent. Theory 17 (2013), 226–236, pdf
(with C. W. Eaton and B. Külshammer) 2-Blocks with minimal nonabelian defect groups II, J. Group Theory 15 (2012), 311–321, pdf
Blocks with defect group D2n × C2m , J. Pure Appl. Algebra 216 (2012), 119–125, pdf
Fusion systems on metacyclic 2-groups, Osaka J. Math. 49 (2012), 325–329, pdf
2-Blocks with minimal nonabelian defect groups, J. Algebra 337 (2011), 261–284, pdf
Cartan matrices and Brauer's k(B)-conjecture II, J. Algebra 337 (2011), 345–362, pdf
Cartan matrices and Brauer's k(B)-conjecture, J. Algebra 331 (2011), 416–427, pdf
(with L. Héthelyi and B. Külshammer) Conjugacy classes and characters of finite p-groups, Comm. Algebra 39 (2011), 657–685, pdf
Other writings
Local determination of Frobenius–Schur indicators, in: Representations of Finite Groups, Oberwolfach Reports 20 (2023), EMS Publishing House, Zürich (to appear), pdf
Fusion systems in representation theory, pdf
Square-1: Wie man Weihnachten 2020 verbringt, Computeralgebra-Rundbrief 68 (2021), 12–15, pdf
An answer to a question of Bonnafé, pdf
Character counting conjectures for pi-separable groups, in: Representations of Finite Groups, Oberwolfach Reports 16 (2019), EMS Publishing House, Zürich, 873, pdf
Survey on invariants of blocks of finite groups, in: Representations of Finite Groups, Oberwolfach Reports 9 (2012), EMS Publishing House, Zürich, 1003–1006, pdf
Some of my papers are also on arXiv.
If you find any mistakes/typos please let me know.