Research

1. Uniform twisted homological stability
   (j/w Jeremy Miller, Dan Petersen, and Oscar Randal-Williams)
   Preprint
2. A presentation of symplectic Steinberg modules and cohomology of Sp_2n(ℤ)
   (j/w Benjamin Brück and Robin J. Sroka)
   Preprint
3. The homology of the partition algebras
   (j/w Rachael Boyd and Richard Hepworth)
   Pacific Journal of Math. 327 (2023), no. 1, 1-27
4. On rank filtrations of algebraic K-theory and Steinberg modules
   (j/w Jeremy Miller and Jennifer C.H. Wilson)
   Preprint
5. Quotients of braid groups by their congruence subgroups
   (j/w Wade Bloomquist and Nancy Scherich)
   To appear in Proc. Amer. Math. Soc. Ser. B
6. On the codimension-two cohomology of SL_n(ℤ)
   (j/w Benjamin Brück, Jeremy Miller, Robin J. Sroka, and Jennifer C.H. Wilson)
   Preprint
7. Improved homological stability for certain general linear groups
   (j/w Alexander Kupers and Jeremy Miller)
   Proc. LMS 125 (2022), no. 3, 511—542
8. The homology of the Brauer algebras
   (j/w Rachael Boyd and Richard Hepworth)
   Sel. Math. 27 (2021), no. 5, Paper No. 85
9. Representation stability for diagram algebras
   J. Algebra 638(2024), 625–669
10. 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
11. Representation stability, secondary stability, and polynomial functors
    (j/w Jeremy Miller and Dan Petersen)
    Preprint
12. On the tails of FI-modules
    (j/w John D. Wiltshire-Gordon)
    Preprint
13. 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.
14. Non-integrality of some Steinberg modules
    (j/w Jeremy Miller, Jennifer C.H. Wilson, and Dan Yasaki)
    J. Topol. 13 (2020), 441—459
15. Stability in the high-dimensional cohomology of congruence subgroups
    (j/w Jeremy Miller and Rohit Nagpal)
    Compos. Math. 156(4) (2020), 822—861
16. 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
17. Central stability homology
    Math. Z. 295 (2020), no. 3-4, 877—916
18. Representation stability for filtrations of Torelli groups
    Math. Ann. 372 (2018), no. 1-2, 257—298
19. 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])