Peter Patzt

activity

20162026

most citedCentral stability for the homology of congruence subgroups and the second homology of Torelli groups

19 citations · 106 across the 21 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AT2019★ 6 cited

Representation stability, secondary stability, and polynomial functors

Jeremy Miller, Peter Patzt, Dan Petersen

We prove a general representation stability result for polynomial coefficient systems which lets us prove representation stability and secondary homological stability for many fami…

math.RT2019

On the tails of FI-modules

Peter Patzt, John D. Wiltshire-Gordon

We study the end-behavior of integer-valued FI-modules. Our first result describes the high degrees of an FI-module in terms of newly defined tail invariants. Our main result provi…

math.NT2019★ 7 cited

On the top dimensional cohomology groups of congruence subgroups of $SL_{n} (Z)$

Jeremy Miller, Peter Patzt, Andrew Putman

Let $Γ_{n} (p)$ be the level- $p$ principal congruence subgroup of $SL_{n} (Z)$ . Borel-Serre proved that the cohomology of $Γ_{n} (p)$ vanishes above degree $(2 n)$ . W…

Representation stability, secondary stability, and polynomial functors

On the tails of FI-modules

On the top dimensional cohomology groups of congruence subgroups of SLn​(Z)

On the top dimensional cohomology groups of congruence subgroups of $SL_{n} (Z)$