Publications and Preprints

PAPERS (appeared or accepted)

29.     J. Aygun, J. Miller. A degree theorem for the simplicial closure of Auter space, Homology, Homotopy, and Applications (to appear).

28.     Z. Himes, J. Miller, S. Nariman, A. Putman.  The free factor complex and the dualizing module for the automorphism group of a free group, International Mathematics Research Notices, no. 22, 19020–19068.

27.     B. Knudsen, J. Miller, P. Tosteson. Extremal stability for configuration spaces,  Mathematische Annalen, no. 3-4, 1695–1716. 

26.     A. Kupers, J. Miller, P. Patzt. Improved homological stability for certain general linear groups, Proceedings of the London Mathematical Society, (3) 125 (2022), no. 3, 511–542. 

25.     A. Bianchi, J. Miller, J. Wilson.  Mapping class group actions on configuration spaces and the Johnson filtration, Transactions of the AMS (to appear).  

24.  J. Miller, P. Tosteson.  Representation stability for pure braid group Milnor fibers, Transactions of the AMS, 375 (2022), no. 8, 5461–5489..  

23.     A. Kupers, J. Miller, P. Patzt, J. Wilson.  On the generalized Bykovskii presentation of Steinberg modules, International Mathematics Research Notices, no. 13, 10347–10401.

22.     J. Miller, P. Patzt, A. Putman.  On the top dimensional cohomology groups of congruence subgroups of SL_n(Z), Geometry & Topology , 25 (2021), no. 2, 999–1058.

21.     I. Klang, A. Kupers, J. Miller.  The May-Milgram filtration and Ek-cells, Algebraic & Geometric Topology, 21 (2021), no. 1, 105–136.

20.     J. Miller, J. Wilson. Quantitative representation stability over linear groups, International Mathematics Research Notices, no. 22, 8624–8672.

19.     J. Miller, P. Patzt, J. Wilson, D. Yasaki.  Non-integrality of some Steinberg modules, J. Miller, P. Patzt, J. Wilson, D. Yasaki.  Non-integrality of some Steinberg modules, Journal of Topology. 13, 2 (2020), 441-459. 

18.     J. Miller, R. Nagpal, P. Patzt.  Stability in the high-dimensional cohomology of congruence subgroups, Compositio Mathematica, 156 (2020), no. 4, 822–861.

17.  J. Miller, J. Wilson.  FI-hyperhomology and ordered configuration spaces, Proceedings of the AMS, 148 (2020), no. 3, 993–1002.

16.     J. Miller, P. Patzt, J. Wilson.  Central stability for the homology of congruence subgroups and the second homology of Torelli groups, Advances in Mathematics, 354 (2019), 106740, 45 pp.

15.     J. Miller, J. Wilson. Higher order representation stability and ordered configuration spaces of manifolds, Geometry & Topology, 13 (2019), no. 5, 2519–2591. 

14.     T. Church, J. Miller, R. Nagpal, J. Reinhold.  Linear and quadratic ranges in representation stability, Advances in Mathematics, 333 (2018), 1 – 40.  

13.  A. Kupers, J. Miller.  Representation stability for homotopy groups of configuration spaces,  Journal für die reine und angewandte Mathematik, 737 (2018), 217–253.  

12.     A. Kupers, J. Miller.  En-cell attachments and a local-to-global principle for homological stability, Mathematische Annalen, 370 (2018), no. 1-2, 209–269. 

11.  A. Kupers, J. Miller.  Sharper periodicity and stabilization maps for configuration spaces of closed manifolds, Proceedings of the American Mathematical Society, 144 (2016), no. 12, 5457–5468. 

10.     A. Kupers, J. Miller, T. Tran.  Homological stability for symmetric complements, Transactions of the American Mathematical Society, 368 (2016), no. 11, 7745–7762. 

9.     A. Kupers, J. Miller.  Homological stability for topological chiral homology of completions, Advances in Mathematics, 292 (2016), 755–827. 

8.     J. Miller.  The topology of the space of J-holomorphic maps to CP2, Geometry & Topology, 19 (2015), no. 4, 1829–1894. 

7.     J. Miller, M. Palmer.  A twisted homology fibration criterion and the twisted group-completion theorem, Quarterly Journal of Mathematics, 66 (2015), no. 1, 265–284.  

6.     A. Kupers, J. Miller.  Improved homological stability for configuration spaces after inverting 2, Homology, Homotopy and Applications, (2015), no. 1, 255–266. 

5.     J. Miller, M. Palmer.  Scanning for oriented configuration spaces, Homology, Homotopy and Applications, (2015), no. 1, 35–66.  

4.     J. Miller.  Nonabelian Poincare duality after stabilizing, Transactions of the American Mathematical Society,367 (2015), no. 3, 1969–1991.

3.     M. Bendersky, J. Miller.  Localization and homological stability of configuration spaces, Quarterly Journal of Mathematics, 65 (2014), no. 3, 807-815. 

2.     A. Kupers, J. Miller.  Some stable homology calculations and Occam's razor for Hodge structures, Journal of Pure and Applied Algebra, 218 (2014), no. 7, 1219-223.  

1.     J. Miller.  Homological stability properties of spaces of rational J-holomorphic curves in P^2, Algebraic & Geometric Topology, 13:1 (2013), 453-478. 

PAPERS (under review)

36.     C. Bernard, J. Miller, R. Sroka, Partial bases and homological stability of GLn(R) revisited. 

35.     A. Ash, J. Miller, P. Patz. Hopf algebras, Steinberg modules, and the unstable cohomology of SL_n(Z) and GL_n(Z).

34.     J. Miller, P. Patzt, D. Petersen, O. Randal-Williams. Uniform twisted homological stability. 

33.     A. Bianchi, J. Miller.  Polynomial stability of the homology of Hurwitz spaces.

32.     J. Miller, P. Patzt, J. Wilson. On rank filtrations of algebraic K-theory and Steinberg modules. 

31.     B. Bruck, J. Miller, P. Patzt, R. Sroka, J. Wilson. The codimension-two cohomology of SL_n(Z). 

30.     J. Miller, P. Patzt, D. Petersen.  Representation stability, secondary stability, and polynomial functors.