Research

  1. Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures
    (j/w Jeremy Miller and Andrew Putman)
    Preprint
  2. Hopf algebras, Steinberg modules, and the unstable cohomology of SLn(ℤ) and GLn(ℤ)
    (j/w Avner Ash and Jeremy Miller)
    Preprint
  3. Uniform twisted homological stability
    (j/w Jeremy Miller, Dan Petersen, and Oscar Randal-Williams)
    Preprint
  4. A presentation of symplectic Steinberg modules and cohomology of Sp2n(ℤ)
    (j/w Benjamin Brück and Robin J. Sroka)
    Preprint
  5. The homology of the partition algebras
    (j/w Rachael Boyd and Richard Hepworth)
    Pacific Journal of Math. 327 (2023), no. 1, 1-27
  6. On rank filtrations of algebraic K-theory and Steinberg modules
    (j/w Jeremy Miller and Jennifer C.H. Wilson)
    Accepted by JEMS
  7. 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
  8. 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
  9. Improved homological stability for certain general linear groups
    (j/w Alexander Kupers and Jeremy Miller)
    Proc. LMS 125 (2022), no. 3, 511—542
  10. The homology of the Brauer algebras
    (j/w Rachael Boyd and Richard Hepworth)
    Sel. Math. 27 (2021), no. 5, 85
  11. Representation stability for diagram algebras
    J. Algebra 638(2024), 625–669
            Corrigendum
            J. Algebra 671 (2025), 181–188
  12. 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
  13. Representation stability, secondary stability, and polynomial functors
    (j/w Jeremy Miller and Dan Petersen)
    Preprint
  14. On the tails of FI-modules
    (j/w John D. Wiltshire-Gordon)
    J. Pure Appl. Algebra (2024), no. 228, 107741
  15. 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.
  16. Non-integrality of some Steinberg modules
    (j/w Jeremy Miller, Jennifer C.H. Wilson, and Dan Yasaki)
    J. Topol. 13 (2020), 441—459
  17. Stability in the high-dimensional cohomology of congruence subgroups
    (j/w Jeremy Miller and Rohit Nagpal)
    Compos. Math. 156(4) (2020), 822—861
            Corrigendum
  18. 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
  19. Central stability homology
    Math. Z. 295 (2020), no. 3-4, 877—916
  20. Representation stability for filtrations of Torelli groups
    Math. Ann. 372 (2018), no. 1-2, 257—298
  21. 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])