19 citations · 29 across the 12 of their papers we have counts for
13 papers
On the structure of modular principal series representations of over some finite rings
Michael M. Schein, Re'em Waxman
The submodule structure of mod principal series representations of , for a finite field of characteristic , was described by Bardoe and Sin and has pla…
Pro-isomorphic zeta functions of some Lie lattices of even rank
Yifat Moadim-Lesimcha, Michael M. Schein
We compute the local pro-isomorphic zeta functions at all but finitely many primes for a certain family of class-two-nilpotent Lie lattices of even rank, parametrized by irreducibl…
Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations
Tomer Bauer, Michael M. Schein
Let be a nilpotent algebra of class two over a compact discrete valuation ring of characteristic zero or of sufficiently large positive characteristic. Let be the resid…
A family of irreducible supersingular representations of for some ramified -adic fields
Michael M. Schein
We construct infinite families of irreducible supersingular mod representations of with -socle compatible with Serre's modulari…
Systolic length of triangular modular curves
Michael M. Schein, Amir Shoan
We present a method for computing upper bounds on the systolic length of certain Riemann surfaces uniformized by congruence subgroups of hyperbolic triangle groups, admitting congr…
Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension
Mark N. Berman, Itay Glazer, Michael M. Schein
We consider pro-isomorphic zeta functions of the groups , where is a unipotent group scheme defined over and varies over all number fields. U…
Generalized Igusa functions and ideal growth in nilpotent Lie rings
Angela Carnevale, Michael M. Schein, Christopher Voll
We introduce a new class of combinatorially defined rational functions and apply them to deduce explicit formulae for local ideal zeta functions associated to the members of a larg…
On the flat cohomology of binary norm forms
Rony A. Bitan, Michael M. Schein
Let be an order of index in the maximal order of a quadratic number field . Let be the orthogonal $\mathbb{…
Bolza quaternion order and asymptotics of systoles along congruence subgroups
Karin Katz, Mikhail Katz, Michael Schein +1
We give a detailed description of the arithmetic Fuchsian group of the Bolza surface and the associated quaternion order. This description enables us to show that the corresponding…
Serre's Modularity Conjecture
Michael M. Schein
These are the lecture notes from a five-hour mini-course given at the Winter School on Galois Theory held at the University of Luxembourg in February 2012. Their aim is to give an…
Normal zeta functions of the Heisenberg groups over number rings II -- the non-split case
Michael M. Schein, Christopher Voll
We compute explicitly the normal zeta functions of the Heisenberg groups , where is a compact discrete valuation ring of characteristic zero. These zeta functions occur a…
Normal zeta functions of the Heisenberg groups over number rings I - the unramified case
Michael M. Schein, Christopher Voll
Let be a number field with ring of integers . We compute explicitly the local factors of the normal zeta functions of the Heisenberg groups th…
Weights in Serre's conjecture for Hilbert modular forms: the ramified case
Michael M. Schein
Let F be a totally real field and p an odd prime. If r is a continuous, semisimple, totally odd mod p representation of the absolute Galois group of F which is tamely ramified at a…