Publications

1. Recognizing SL2(q) in fusion systems, J. Group Theory, 13 (2010), no.5, 679-702.

2. Minimal fusion systems with a unique maximal parabolic, J. Alg., 333 (2011), no. 1,318-367.

3. Products in fusion systems, J. Alg., 376 (2013), 300-319.

4. (with Dave Benson and Jesper Grodal) Group cohomology and control of p-fusion, Invent. Math., 197 (2014), no. 3, 491-507.

5. A characterization of saturated fusion systems over abelian 2-groups, Adv. Math., 257 (2014), 1-5.

6. (with Jason Semeraro) Centralizers of normal subgroups and the Z_-theorem, J. Alg., 439 (2015), 511-514.

7. Products of partial normal subgroups, Pac. J. Math., 279 (2015), no.1-2, 255-268 (Robert Steinberg Memorial Issue).

8. Direct and central products of localities, J. Alg., 491 (2017), 158-189.

9. (Together with Jun Liao) Control of fusion by abelian subgroups of the hyperfocal subgroup, J. Algebra Appl., 17 (2018) 1850024. (11 pages)

10. Centralizers of normal subsystems revisited, J. Alg., 511 (2018), 364-387.

11. (with Justin Lynd) Extensions of the Benson–Solomon fusion systems, in Geometric and Topological Aspects of the Representation Theory of Finite Groups (Jon Carlson, Srikanth Iyengar, and Julia Pevtsova eds.), Springer Proceedings in Mathematics & Statistics 242, 20pp.

12. Subcentric linking systems, Trans. Amer. Math. Soc., 371 (2019), 3325-3373.

13. Extensions of Homomorphisms between localities, Forum Math. Sigma, 9 (2021), Paper No. e63.

14. Normalizers and centralizers of p-subgroups in normal subsystems of fusion systems, J. Algebra, 588 (2021), 471-478.

15. (with Justin Lynd) Fusion systems with Benson–Solomon components, Duke Math. J. 171 (2022), no. 3, 673–737.

16. (with Andrew Chermak) Fusion systems and localities -- a dictionary, Adv. Math. 410 (2022), 108690.

17. (with Valentina Grazian) Kernels of Localities, Forum Math. Sigma 10 (2022), Paper No. e74.

18. Some products in fusion systems and localities, Proc. Amer. Math. Soc. 51 (2023), no. 3, 915-930.

19. (with Assaf Libman and Justin Lynd) Punctured groups for exotic fusion systems, Trans. Lond. Math. Soc. 10 (2023), no.1, 21-99

20. Commuting partial normal subgroups and regular localities, accepted to Mem. Amer. Math. Soc.

PREPRINTS ON arxiv.org

1. (Together with Valentina Grazian) Semidirect products and wreath products of localities

2. Normalizers and centralizers of subnormal subsystems of fusion systems

3. On a theorem of Wielandt for fusion systems and localities