maths

Research articles:

  1. Vignéras orbifolds: isospectrality, regulators, and torsion homology, with Aurel Page, preliminary draft; Comments welcome!

  2. Galois module structure of oriented Arakelov class groups, with Henri Johnston and Hendrik W. Lenstra Jr., Math. Ann., to appear.
  3. On class groups of random number fields, with Hendrik W. Lenstra Jr., Proc. Lond. Math. Soc. 121 no. 3 (2020), 927-953. DOI link.
  4. Relations between permutation representations in positive characteristic, with Matthew Spencer, Bull. Lond. Math. Soc. 51 no. 2 (2019), 293-308. DOI link.
  5. Group representations in the homology of 3-manifolds, with Aurel Page, Comment. Math. Helv. 94 no. 1 (2019), 67-88. DOI link.
  6. A note on Green functors with inflation, with Matthew Spencer, J. Algebra 483 no. 1 (2017), 230-244. DOI link.
  7. Torsion homology and regulators of isospectral manifolds, with Aurel Page, J. Topology 9 no. 4 (2016), 1237-1256. DOI link.
  8. Commensurability of automorphism groups, with Hendrik W. Lenstra Jr., Compositio Math. 153 no. 2 (2017), 323-346. DOI link.
  9. Rational representations and permutation representations of finite groups, with Tim Dokchitser, Math. Ann. 364 no. 1 (2016), 539-558. DOI link.
  10. Simplicity of twists of abelian varieties, Acta Arithmetica 171 (2015), 15-22. DOI link.
  11. Factor equivalence of Galois modules and regulator constants, Int. J. Number Theory 10 no. 1 (2014), 1-12. DOI link.
  12. Elliptic curves with p-Selmer growth for all p, Q. J. Math. 64 no. 4 (2013), 947-954. DOI link.
  13. Brauer relations in finite groups II - quasi-elementary groups of order p^aq, with Tim Dokchitser, J. Group Theory 17 no. 3 (2014), 381-393. DOI link.
  14. Index formulae for integral Galois modules, with Bart de Smit, J. Lond. Math. Soc. 88 (2013), 845-859. DOI link.
  15. Brauer relations in finite groups, with Tim Dokchitser, J. Eur. Math. Soc. (JEMS) 17 (2015), 2473-2512. DOI link.
  16. On Brauer-Kuroda type relations of S-class numbers in dihedral extensions, J. reine angew. Math. 668 (2012), 211-244. DOI link.
  17. Large Selmer groups over number fields, Math. Proc. Cambridge Philos. Soc. 148 no. 1 (2010), pp. 73-86. DOI link.