Research

  1. Hopf algebras, Steinberg modules, and the unstable cohomology of SLn(ℤ) and GLn(ℤ)
    (j/w Avner Ash and Jeremy Miller)
    Preprint
  2. Uniform twisted homological stability
    (j/w Jeremy Miller, Dan Petersen, and Oscar Randal-Williams)
    Preprint
  3. A presentation of symplectic Steinberg modules and cohomology of Sp2n(ℤ)
    (j/w Benjamin Brück and Robin J. Sroka)
    Preprint
  4. The homology of the partition algebras
    (j/w Rachael Boyd and Richard Hepworth)
    Pacific Journal of Math. 327 (2023), no. 1, 1-27
  5. On rank filtrations of algebraic K-theory and Steinberg modules
    (j/w Jeremy Miller and Jennifer C.H. Wilson)
    Accepted by JEMS
  6. Quotients of braid groups by their congruence subgroups
    (j/w Wade Bloomquist and Nancy Scherich)
    Proc. Amer. Math. Soc. Ser. B 11 (2024), 508-524
  7. On the codimension-two cohomology of SLn(ℤ)
    (j/w Benjamin Brück, Jeremy Miller, Robin J. Sroka, and Jennifer C.H. Wilson)
    Adv. Math. 451 (2024), 109795
  8. Improved homological stability for certain general linear groups
    (j/w Alexander Kupers and Jeremy Miller)
    Proc. LMS 125 (2022), no. 3, 511—542
  9. The homology of the Brauer algebras
    (j/w Rachael Boyd and Richard Hepworth)
    Sel. Math. 27 (2021), no. 5, 85
  10. Representation stability for diagram algebras
    J. Algebra 638(2024), 625–669
            Corrigendum
            J. Algebra 671 (2025), 181–188
  11. On the generalized Bykovskii presentation of Steinberg modules
    (j/w Alexander Kupers, Jeremy Miller, and Jennifer C.H. Wilson)
    IMRN (2022), no. 13, 10347—10401
  12. Representation stability, secondary stability, and polynomial functors
    (j/w Jeremy Miller and Dan Petersen)
    Preprint
  13. On the tails of FI-modules
    (j/w John D. Wiltshire-Gordon)
    J. Pure Appl. Algebra (2024), no. 228, 107741
  14. On the top dimensional cohomology groups of congruence subgroups of SL_n(Z)
    (j/w Jeremy Miller and Andrew Putman)
    Geom. Topol. 25 (2021), no. 2, 999—1058.
  15. Non-integrality of some Steinberg modules
    (j/w Jeremy Miller, Jennifer C.H. Wilson, and Dan Yasaki)
    J. Topol. 13 (2020), 441—459
  16. Stability in the high-dimensional cohomology of congruence subgroups
    (j/w Jeremy Miller and Rohit Nagpal)
    Compos. Math. 156(4) (2020), 822—861
  17. Central stability for the homology of congruence subgroups and the second homology of Torelli groups
    (j/w Jeremy Miller and Jennifer C.H. Wilson)
    Adv. Math. 354 (2019), 106740
  18. Central stability homology
    Math. Z. 295 (2020), no. 3-4, 877—916
  19. Representation stability for filtrations of Torelli groups
    Math. Ann. 372 (2018), no. 1-2, 257—298
  20. Stability results for Houghton groups
    (j/w Xiaolei Wu)
    Algebr. Geom. Topol. 16 (2016), no. 4, 2365—2377

Overview talk: High cohomology of arithmetic groups [Notes] (Including papers [5,6,7,10,14])