Jared Weinstein
Assistant Professor, Mathematics
Boston University
MCS 227
6173532560
jsweinst@math.bu.edu
Here is my CV (pdf,
updated Oct. 2016).
Teaching
 Spring 2017: MA341, Number Theory, and MA542, Modern Algebra II.
 Fall 2016: No teaching.
 Spring 2016: MA542, Modern Algebra II.

Fall 2015: MA225, Multivariate Calculus, and MA841, Algebra Seminar. The topic of MA841 is Elliptic Curves.

Spring 2015: MA225, Multivariate Calculus, and MA745, Algebraic Geometry I.

Fall 2014: Visiting scholar at UC Berkeley. I taught a section of Math 274, a graduate course on padic geometry.

Spring 2014: MA225, Multivariate Calculus, and MA512, Introduction to Analysis II.

Fall 2013: MA843, Advanced Number Theory. The topic is Shimura Varieties.

Spring 2013: MA442, Honors Linear
Algebra.

Fall 2012: MA541, Modern Algebra I, and MA711, Real Analysis.

Spring 2012: MA746, Algebraic Geometry II.

Fall 2011: MA843, Advanced Number
Theory. The topic is Automorphic Representation Theory.
Articles
 Reciprocity laws and Galois representations: recent breakthroughs. Bulletin of the AMS 53 (2016), No. 1, 139. An exposition of reciprocity laws, from 1640 to 2013.
 The Galois group of Q_p as a geometric fundamental group.
Int. Math. Res. Not. (2016). We construct an object Z defined over an algebraically closed field, whose fundamental
group equals the absolute Galois group of Q_p.
 Semistable models for modular curves of arbitrary level. Inventiones Mathematicae 205 (2016), No. 2, 459526. We construct integral models for the tower of modular curves whose special fibers are all
semistable, which means that the only singularities are normal crossings. For this it was necessary to work at
infinite level, where the LubinTate tower assumes the structure of a perfectoid space.
 Moduli of pdivisible groups, with Peter Scholze. Cambridge Journal of Mathematics 1, No. 2, 145237, 2013. (2013). We prove that
RapoportZink spaces at infinite level are perfectoid spaces, and give a description of these spaces purely in terms of padic
Hodge theory.
 Formal
vector spaces over a field of positive characteristic, preprint. We
introduce the notion of a "formal Kvector space", where K is the field
of Laurent series in one variable over a finite field. The main result is
that the infinitelevel LubinTate tower for K has a surprisingly simple
description in terms of formal Kvector spaces.
 Maximal
Varieties and the local Langlands
correspondence for GL(n), with Mitya Boyarchenko. J. Amer. Math. Soc. 29 (2016), No. 1, 177236.
Wherein
we compute
the zeta function of a very unusual variety over a finite field, which has
the maximum number of rational points relative to its topology. This
variety appears as the reduction of an open affinoid subset of the
LubinTate tower at infinite level.
 On the computation of local
components of a newform, with David Loeffler. Math. Comp. 81 (2012)
11791200. We present
an algorithm for computing the pcomponents of the automorphic
representation arising from a cuspidal newform, even at those primes p
dividing the level more than once.
 Good reduction of affinoids
on the LubinTate tower. Documenta Mathematica 15 (2010) 9811007.
We find a family of analytic
subspaces of the LubinTate tower whose reduction is a rather curious
nonsingular hypersurface; a conjecture on the Lfunctions of this
hypersurface would link nonabelian LubinTate theory to the theory of
BushnellKutzko types.
 Explicit nonabelian
LubinTate theory for
GL_2, preprint (2009). Together with "Semistable
models for modular curves of arbitrary level", this paper recovers the result of
DeligneCarayol that the tower of LubinTate curves realizes the local
Langlands correspondence for GL(2) in odd residue characteristic.
 The Local JacquetLanglands Correspondence
via Fourier Analysis, Journal de Theorie de Nombres de Bordeaux, 22,
No. 2, 2010. We give a
new
technique for passing
between supercuspidal representations of GL_2 over a local nonarchimedean
field with
those of its inner twist.
 Hilbert
Modular forms
with
Prescribed Ramification, Int. Math. Res. Not. (2009), No. 8.
We find a formula for the number
of hilbert modular forms over a totally real field K whose ramification is
of a prescribed type. This is a strengthening of the first half of my
thesis.

Beyond Value at Risk: Forecasting Portfolio Loss at Multiple
Horizons, with Lisa Goldberg and Guy Miller. Journal of
Investment Management, Vol. 6, No. 2, (2008), pp. 1.26.

Automorphic Forms with Local Constraints, my Berkeley
dissertation.
Other Writing
 Notes from Peter Scholze's revolutionary course on padic geometry, Fall 2014.
 Notes and slides for my talk Exploring the
Galois group of the rational numbers: New breakthroughs, at the Current Events Bulletin Session of the AMSJMM Joint Meetings, San Antonio, January 2015.
 A
guest post on Frank Calegari's blog, about the fundamental curve of
padic Hodge theory. See also the sequel,
about the Galois group of Q_p as a geometric fundamental group.
 Modular curves at infinite
level, notes for my lecture series at the 2013 Arizona Winter School
in Tucson.
 A variety with many points over a finite field, slides for a talk given at the Arithmetic Geometry session of the 2012 Joint Meetings in Boston.
 Elliptic curves over the rational numbers, a SAGE worksheet I used for my lecture in the short course Computing with Elliptic Curves
using SAGE at the 2012 Joint Meetings in Boston.
 The geometry of LubinTate spaces,
notes for a minicourse at the
FRG/RTG Workshop on Lfunctions, Galois representations and Iwasawa
theory, Ann Arbor, May 1722, 2011. An introduction to formal groups,
Dieudonné modules and the LubinTate tower.
 Resolution of singularities on the tower
of modular curves ,
slides from half of my talk at the Stanford Number Theory Seminar, Oct.
22, 2010. This is a
graphical summary of my preprint on semistable models for modular
curves.
 Deligne's letter
to PiatetskiShapiro. A latex transcription of Deligne's
beautiful letter from 1973, in which he investigates the local
behavior of Galois representations coming from modular forms.