Jason Semeraro
Heilbronn Research Fellow
Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom
jpgs1@leicester.ac.uk
js13525@bristol.ac.uk
Office Tel: +44 (0)116 252 3892
About me
I completed my DPhil in 2013 at the University of Oxford under the supervision of David Craven and Michael Collins. From 2013-2016 I was a Heilbronn Fellow at the University of Bristol. I am interested in algebra and combinatorics.
Research
Representation theory
Weight conjectures for Benson--Solomon systems (in preparation)
Weight conjectures for fusion systems arXiv: 1810.01453 (joint with Radha Kessar, Markus Linckelmann and Justin Lynd) (submitted)
Weights in a Benson--Solomon block arXiv: 1712.02826 (joint with Justin Lynd) (submitted)
Fusion systems and $p$-local group theory
A compendium of fusion systems over $p$-groups of small order (joint with Chris Parker) (in preparation)
Fusion systems on maximal class $3$-groups of rank two revisited arXiv: 1809.01957, to appear in Proc. AMS (joint with Chris Parker)
Fusion systems over a Sylow $p$-subgroup of $G_2(p)$ arXiv:1608.08399 Math. Z. 289 (2018), 629-662 (joint with Chris Parker)
Reduced fusion systems over $p$-groups with abelian subgroup of index $p$: II Adv. Math 322 (2017), 201-268 arXiv:1606.05133 (joint with David Craven and Bob Oliver)
Centralizers of normal subgroups and the $Z^*$-theorem J. Algebra 439 (2015), 511-514 arXiv:1411.1932 (joint with Ellen Henke)
Centralizers of subsystems of fusion systems J. Group Theory 18 (2015), 393-405 arXiv:1402.4981
Trees of fusion systems J. Algebra, 399 (2014), 1051-1072 arXiv:1211.6700
Combinatorics and permutation groups
Turán bounds via switching classes (joint with Karen Gunderson) (in preparation)
The cycle polynomial of a permutation group Electron. J. Comb, Volume 25, Issue 1 (2018) arXiv: 1701.06954 (joint with Peter Cameron)
Conway groupoids and completely transitive codes arXiv:1410.4785 Combinatorica, 38 (2) ( 399-442| (joint with Nick Gill and Neil Gillespie)
Conway’s groupoid and its relatives Contemporary Mathematics Volume 694, 2017 in honour of John H. Conway (joint with Nick Gill, Neil Gillespie and Cheryl Praeger)
Conway groupoids, regular two-graphs and supersimple designs Séminaire Lotharingien de Combinatoire, Issue 79 (2017) arXiv:1510.06680 (joint with Nick Gill, Neil Gillespie and Cheryl Praeger)
Tournaments, 4-uniform hypergraphs, and an exact extremal result J. Comb. Theory, Series B, 126 (2017) 114-136 arXiv:1509.03268 (joint with Karen Gunderson)
Generating groups using hypergraphs Quart. J. Math, 67 (1) (2016), 29-52 arXiv:1405.1701 (joint with Nick Gill, Neil Gillespie and Tony Nixon)
Bounding the number of hyperedges in friendship $r$-hypergraphs European J. Combinatorics 51 (2016), 125-134 arXiv:1412.5822 (joint with Karen Gunderson and Natasha Morrison)
Useful Links
arXiv
Maths Genealogy Project
University of Leicester
BLOC
Terence Tao's blog
Tim Gower's blog
University of Bristol
Fun Stuff
Noughts and Crosses
Conway's Cosmological Theorem
M(13) demonstration
Finite simple group of order two
Quiver mutations in Java
Last updated: 12/01/2018
