Faculty & Staff Profiles

Research

Publications


  1. Support varieties for infinitesimal group schemes, coauthored with E.M. Friedlander and A. Suslin, Journal of the American Mathematical Society, 10 (1997) 729-759.
  2. Infinitesimal 1-parameter subgroups and cohomology, coauthored with E. Friedlander and A. Suslin, Journal of the American Mathematical Society, 10 (1997) 693-72.
  3. Complexes and vanishing of cohomology for group schemes, coauthored with D.K. Nakano, Journal of Algebra, 214 (1999) 668-713.
  4. Generalized reduced enveloping algebras for restricted Lie algebras", Journal of Algebra, 218 (1999) 373-411.
  5. Projectivity of modules for infinitesimal unipotent group schemes,   Proceedings of the American Mathematical Society, 129 (2001) 671-676.
  6. Cohomology and projectivity for finite group schemes, Mathematical Proceedings of the Cambridge Philosophical Society, 131 (2001) 405-425.
  7. On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels, coauthored with D. K. Nakano and C. Pillen, Journal of Pure and Applied Algebra, 163, no. 2 (2001) 119-146.
  8. Extensions for finite Chevalley groups I, coauthored with D. K. Nakano and C. Pillen, Advances in Mathematics, 183, no. 2 (2004), 380-408.
  9. Extensions for finite Chevalley groups II, coauthored with D.K. Nakano and C. Pillen, Transactions of the American Mathematical Society, 354 (2002) 4421-4454.
  10. Extensions for Frobenius kernels, coauthored with D. K. Nakano and C. Pillen, Journal of Algebra, 272, no. 2 (2004), 476-511.
  11. Extensions for finite groups of Lie type: twisted groups, coauthored with D. K. Nakano and C. Pillen,  in Finite Groups 2003, 29-46, Walter de Gruyter GmbH & Co. KG, Berlin, 2004.
  12. Second cohomology groups for Frobenius kernels and related structures, coauthored with D. K. Nakano and C. Pillen, Advances in Mathematics, 209, (2007), 162-197.
  13. Extensions for finite groups of Lie type II: filtrating the truncated induction functor, coauthored with D. K. Nakano and C. Pillen, Contemporary Mathematics, 413, (2006), 1-23.
  14. Cohomology for quantum groups via the geometry of the nullcone, coauthored with D. K. Nakano, B. J. Parshall, and C. Pillen, Memoirs of the American Mathematical Society, to appear.
  15. On the vanishing ranges for the cohomology of finite groups of Lie type, coauthored with D. K. Nakano and C. Pillen, International Mathematics Research Notices IMRN 2011; doi: 10.1093/imrn/rnr130.
  16. On the vanishing ranges for the cohomology of finite groups of Lie type II, coauthored with D. K. Nakano and C. Pillen, Proceedings of Symposia in Pure Mathematics, 86, (2012), 25-73.
  17. Summary of vanishing ranges for the cohomology of finite groups of Lie type, coauthored with D. K. Nakanao and C. Pillen, preprint, 2012.
  18. Bounding cohomology for finite groups and Frobenius kernels, coauthored with D. K. Nakano, B. J. Parshall, C. Pillen, L. L. Scott,  and D. Stewart, preprint, 2012.
  19. Bounding the dimensions of rational cohomology groups, coauthored with B. D. Boe, C. M. Drupieski, D. K. Nakano, B. J. Parshall, C. Pillen, and C. B. Wright, preprint, 2013.
  20. Extensions for finite Chevalley groups III: rational and generic cohomology, coauthored with D. K. Nakano and C. Pillen, preprint, 2013.

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