Gruppen- und Darstellungstheorie endlicher Gruppen:
Vermutungen von Alperin, Brauer, Dade und McKay
Endliche Gruppen vom Lie-Typ
Modulare Darstellungstheorie
Veröffentlichungen
Extensions of characters in type D and the inductive McKay condition, I, Nagoya Math. J. 252 (2023), 906–958.
(mit M. Cabanes) On semisimple classes and component groups in type D, Vietnam J. Math. 52 (2024), 435–444.
(mit Z. Feng) Unitriangular basic sets, Brauer characters and coprime actions, Represent. Theory 27 (2023), 115–148.
(mit J. Brough) A criterion for the inductive Alperin weight condition, Bullentin LMS 54 (2022), no. 2, 466–481.
(mit M. Cabanes und A. Schaeffer Fry) n the inductive Alperin-McKay conditions in the maximally split case. Math. Z. 299 (2021), 2419-2441.
(mit J. Brough) On the Alperin-McKay conjecture for simple groups of type A. J. Algebra 558 (2020), 221–259.
(mit G. Navarro und C. Vallejo) A reduction theorem for the Galois-McKay conjecture. Trans. Amer. Math. Soc. 2020.
(mit M. Cabanes) Descent equalities and the inductive McKay conditionfor types B and E. Adv. Math 356 (2019).
Reduction Theorems for some global-local Conjectures. In: Local Representations Theory and Simple Groups. EMS Ser. Congr. Rep , Eur. Math. Soc., Zürich (2018), 23-62.
(mit G. Navarro und G. Malle) On Blocks with One Modular Character. Forum Math. 30 (2018), no. 1, 57–73.
(mit M. Cabanes) Inductive McKay condition for finite simple groups of type C. Represent. Theory 21 (2017), 61–81.
(mit M. Cabanes) Equivariant character correspondences and inductive McKay condition for type A. J. Reine Angew. Math. 728 (2017), 153–194.
A Reduction Theorem for Dade's Projective Conjecture. J. Eur. Math. Soc. (JEMS) 19 (2017), 1071–1126.
Inductive Conditions for Counting Conjectures via Character Triples. In: Representation theory - current trends and perspectives. EMS Ser. Congr. Rep , Eur. Math. Soc., Zürich (2017), 665-680.
(mit G. Navarro und P.H. Tiep) Coprime actions and correspondences of Brauer Characters. Proc. LMS 114 (2017), 589–613.
(mit G. Malle) Characters of odd degree. Ann. of Math. 184 (2016), 869-908.
(mit S. Koshitani) The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes. J. Group Theory 19 (2016), 777-813.
(mit C. Vallejo) Brauer characters and coprime action. J. Algebra 457 (2016), 278-311.
(mit S. Koshitani) The inductive Alperin-McKay condition for 2-blocks with cyclic defect groups. Arch. d. Math. 106 (2016), 107-116.
(mit S. Koshitani) Clifford theory of characters in induced blocks. Proc. Amer. Math. Soc.. 143 (2015), 3687-3702.
(mit M. Cabanes) On the inductive Alperin-McKay condition for simple groups of type A. J. Algebra. 442 (2015), 104-123.
(mit G. Malle und G. Navarro) Invariant blocks under coprime actions. Doc. Math.. 20 (2015), 491-506.
(mit G. Navarro und P.H. Tiep) On fully ramified Brauer characters. Adv. Math.. 257 (2014), 248–265.
(mit G. Navarro) On Brauer’s height zero conjecture. J. Eur. Math. Soc.. 16 (2014), 695–747.
(mit G. Navarro) Character correspondences in blocks with normal defect groups. J. Algebra. 398 (2014), 396–406.
A reduction theorem for the blockwise Alperin weight conjecture. J. Group Theory. 16 (2013), 159–220.
A reduction theorem for the Alperin–McKay conjecture. J. reine angew. Math. 680 (2013), 153–189.
(mit M. Cabanes) Equivariance and extendibility in finite reductive groups with connected center. Math. Z.. 275 (2013), 689-713.
Inductive McKay condition in defining characteristic. Bull. Lond. Math. Soc.. 44 (2012), 426-438.
Sylow d-tori of classical groups and the McKay conjecture. II. J. Algebra. 323 (2010), 2494-2509.
Sylow d-tori of classical groups and the McKay conjecture. I. J. Algebra. 323 (2010), 2469-2493.
The McKay conjecture for exceptional groups and odd primes. Math. Z.. 261 (2009), 571-595.
Vorabdrucke
Extensions of characters in type D and the inductive McKay condition, II , eingereicht.
(mit M. Cabanes) The McKay Conjecture on character degrees, eingereicht.
