BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:John Cullinan (Bard College)
DTSTART:20250916T200000Z
DTEND:20250916T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/1
DESCRIPTION:Title: Explicit Arithmetic in Isogeny-Torsion Graphs\nby John Cullinan (
Bard College) as part of Pioneer Valley Number Theory Seminar\n\nLecture h
eld in Seeley Mudd 207 @Amherst College.\n\nAbstract\nLet E and E’ be is
ogenous elliptic curves defined over Q. Then their associated L-functions
are equal\; in particular\, their leading Taylor coefficients are equal. H
owever (assuming the conjecture of Birch and Swinnerton-Dyer)\, the indivi
dual arithmetic invariants that comprise the leading terms may not be. In
this talk we explore how the individual BSD terms change under a prime-deg
ree isogeny and how to quantify the “likelihood” that such changes occ
ur. This is joint work with Alexander Barrios.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Organizational Meeting
DTSTART:20250902T200000Z
DTEND:20250902T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/2
DESCRIPTION:by Organizational Meeting as part of Pioneer Valley Number The
ory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract
: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Fall Break)
DTSTART:20251014T200000Z
DTEND:20251014T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/3
DESCRIPTION:by No Seminar (Fall Break) as part of Pioneer Valley Number Th
eory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstrac
t: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Thanksgiving)
DTSTART:20251125T210000Z
DTEND:20251125T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/4
DESCRIPTION:Title: Thanksgiving\nby No Seminar (Thanksgiving) as part of Pioneer Val
ley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Coll
ege.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Santiago Arango-Piñeros (UMass Amherst)
DTSTART:20250909T200000Z
DTEND:20250909T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/5
DESCRIPTION:Title: Counting primitive integral solutions to generalized Fermat equations
\nby Santiago Arango-Piñeros (UMass Amherst) as part of Pioneer Valle
y Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Colleg
e.\n\nAbstract\nI will explain the method of Fermat descent\; a modern inc
arnation of Fermat's method of infinite descent (see https://arxiv.org/abs
/2508.13059 )\, and then use it to prove a refinement of Beukers' famous t
heorem on the existence of parametrized solutions to spherical Fermat equa
tions (see https://arxiv.org/abs/2508.13093 ).\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicole Looper (Brown University)
DTSTART:20250923T200000Z
DTEND:20250923T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/6
DESCRIPTION:Title: Ultrafilters and uniformity theorems\nby Nicole Looper (Brown Uni
versity) as part of Pioneer Valley Number Theory Seminar\n\nLecture held i
n Seeley Mudd 207 @Amherst College.\n\nAbstract\nUltrafilters formalize a
generalized notion of convergence based on a prescribed idea of "largeness
" for subsets of the natural numbers\, and underlie constructions like ult
raproducts. In the study of moduli spaces\, they provide a clean way to en
code degenerations and to establish uniformity results that are difficult
to obtain using ordinary limits. This talk will discuss applications of ul
trafilters to uniformity theorems in dynamics and arithmetic geometry. Aft
er introducing local results that arise from this approach\, I will sketch
some of the arithmetic consequences\, including uniform bounds on rationa
l torsion points on abelian varieties. This is joint work with Jit Wu Yap.
\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jen Paulhus (Mount Holyoke College)
DTSTART:20250930T200000Z
DTEND:20250930T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/7
DESCRIPTION:Title: Automorphism groups of Riemann surfaces\nby Jen Paulhus (Mount Ho
lyoke College) as part of Pioneer Valley Number Theory Seminar\n\nLecture
held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nClassification ques
tions about automorphisms of compact Riemann surfaces date back to the 180
0s. There has been renewed interest in these questions over the last 30 ye
ars as advances in computation have provided new ways to explore the area.
We will talk about some of those advancements focusing on groups which ar
e automorphisms in just about every genus they should be (particularly sim
ple groups and the alternating groups $A_n$). We also make a connection to
non-normal subvarieties in the singular locus $\\mathcal{M}_g$.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis Gaudet (UMass Amherst)
DTSTART:20251007T200000Z
DTEND:20251007T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/8
DESCRIPTION:Title: Counting biquadratic number fields that admit quaternionic or dihedra
l extensions\nby Louis Gaudet (UMass Amherst) as part of Pioneer Valle
y Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Colleg
e.\n\nAbstract\nMany interesting problems in arithmetic statistics involve
counting number fields (ordered by their discriminants\, say) with certai
n properties. In joint work with Siman Wong (UMass Amherst)\, we establish
asymptotic formulae for the number of biquadratic extensions of $\\mathbb
{Q}$ that admit a degree-2 extension with Galois group $G$\, where $G$ is
either the quaternion group or the dihedral group (of order 8). We will di
scuss these results and how they are proved\, and we will discuss their si
gnificance with regard to a theorem of Tate on lifts of projective Galois
representations.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Allen (Wesleyan University)
DTSTART:20251021T200000Z
DTEND:20251021T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/9
DESCRIPTION:Title: Explicit Modularity of Hypergeometric Motives\nby Michael Allen (
Wesleyan University) as part of Pioneer Valley Number Theory Seminar\n\nLe
cture held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nThe Modularit
y Theorem states that given an elliptic curve one can find an associated m
odular form. One of the more striking aspects of the Modularity Theorem i
s the variety of seemingly unrelated ways in which the relationship betwee
n the elliptic curve and the modular form can be stated. For this talk\,
the primary formulations of modularity we will be interested in are the eq
uality of elliptic and modular $L$-functions\, equality between the number
of points on the elliptic curve mod $p$ with the Fourier coefficients of
the modular form\, and finally an isomorphism between elliptic and modular
Galois representations. Each of these connections can be made explicit b
y expressing both sides in terms of hypergeometric functions (over $\\math
bb{C}$)\, hypergeometric character sums (over $\\mathbb{F}_p$)\, and hyper
geometric Galois representations (over $\\mathbb{Q}_\\ell)$. More general
ly\, each of these connections correspond to De Rham\, crystalline\, and
étale realizations of hypergeometric motives. We discuss recent and upco
ming work with Grove\, Long\, and Tu using these hypergeometric perspectiv
es towards understanding generalizations of the Modularity Theorem for the
se hypergeometric motives.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kate Finnerty (Boston University)
DTSTART:20251028T200000Z
DTEND:20251028T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/10
DESCRIPTION:Title: On the possible adelic indices of certain families of elliptic curve
s\nby Kate Finnerty (Boston University) as part of Pioneer Valley Numb
er Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\n
Abstract\nA well-known theorem of Serre bounds the largest prime $\\ell$ f
or which the mod $\\ell$ Galois representation of a non-CM elliptic curve
$E/\\mathbb{Q}$ is nonsurjective. Serre asked whether a universal bound on
the largest nonsurjective prime might exist. Significant partial progress
has been made toward this question. Lemos proved that it has an affirmati
ve answer for all $E$ admitting a rational cyclic isogeny. Zywina offered
a more ambitious conjecture about the possible adelic indices that can occ
ur as $E$ varies. We will discuss a recent project (joint with Tyler Genao
\, Jacob Mayle\, and Rakvi) that extends Lemos's result to prove Zywina's
conjecture for certain families of elliptic curves.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No seminar (Election day)
DTSTART:20251104T210000Z
DTEND:20251104T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/11
DESCRIPTION:Title: Election day\nby No seminar (Election day) as part of Pioneer Va
lley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Col
lege.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No seminar (Holiday)
DTSTART:20251111T210000Z
DTEND:20251111T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/12
DESCRIPTION:Title: Holiday\nby No seminar (Holiday) as part of Pioneer Valley Numbe
r Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbs
tract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rylan Gajek-Leonard (Union College)
DTSTART:20251118T210000Z
DTEND:20251118T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/13
DESCRIPTION:Title: Mazur-Tate elements of non-ordinary modular forms with Serre weight
larger than two\nby Rylan Gajek-Leonard (Union College) as part of Pio
neer Valley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amhe
rst College.\n\nAbstract\nFix an odd prime $p$ and let $f$ be a non-ordina
ry eigen-cuspform of weight $k$ and level coprime to $p$. In this talk\, w
e describe asymptotic formulas for the Iwasawa invariants of the Mazur--Ta
te elements attached to $f$ of weight $k\\leq p$ in terms of the correspon
ding invariants of the signed $p$-adic $L$-functions. Combined with a vers
ion of mod $p$ multiplicity one\, we use these formulas to obtain descript
ions of the $\\lambda$-invariants of Mazur--Tate elements attached to cert
ain higher weight modular forms having Serre weight $\\leq p$\, generalizi
ng results of Pollack and Weston in the Serre weight 2 case. This is joint
work with Antonio Lei.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cancelled
DTSTART:20251202T210000Z
DTEND:20251202T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/14
DESCRIPTION:Title: due to snow\nby Cancelled as part of Pioneer Valley Number Theor
y Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract:
TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robin Zhang (MIT)
DTSTART:20251209T210000Z
DTEND:20251209T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/15
DESCRIPTION:Title: A Lie-theoretic trichotomy in Diophantine geometry and arithmetic dy
namics\nby Robin Zhang (MIT) as part of Pioneer Valley Number Theory S
eminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nH
ow can the finite/infinite dichotomy of the Killing–Cartan classificatio
n of simple Lie groups & algebras appear in number theory? I will explain
how this Lie-theoretic dichotomy is realized in the finiteness or infinitu
de of positive integer solutions to certain Diophantine equations and expl
ore some of its implications for classical questions studied by Gauss\, Mo
rdell\, Coxeter\, Conway\, and Schinzel in combinatorics and number theory
. I will then switch gears to the arithmetic dynamics of cluster Donaldson
–Thomas transformations\, which refines the Diophantine realization of t
he finite/infinite dichotomy into a finite/affine/indefinite trichotomy th
at matches the Kac–Moody classification of infinite-dimensional Lie alge
bras.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alice Lin (Harvard University)
DTSTART:20260505T193000Z
DTEND:20260505T203000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/16
DESCRIPTION:Title: Finiteness of heights in isogeny classes of motives\nby Alice Li
n (Harvard University) as part of Pioneer Valley Number Theory Seminar\n\n
Lecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nUsing integ
ral $p$-adic Hodge theory\, Kato and Koshikawa define a generalization of
the Faltings height of an abelian variety to motives defined over a number
field. Assuming the adelic Mumford-Tate conjecture\, we prove a finitenes
s property for heights in the isogeny class of a motive\, where the isogen
ous motives are not required to be defined over the same number field. Thi
s expands on a result of Kisin and Mocz for the Faltings height in isogeny
classes of abelian varieties.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juanita Duque-Rosero (Boston University)
DTSTART:20260303T210000Z
DTEND:20260303T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/17
DESCRIPTION:Title: Invariants for Artin-Schreier curves\nby Juanita Duque-Rosero (B
oston University) as part of Pioneer Valley Number Theory Seminar\n\nLectu
re held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nArtin-Schreier c
urves are curves over algebraically closed fields of characteristic p\, de
fined by the equation $y^p - y = f(x)$\, where $f(x)$ is a rational functi
on. In this talk\, I will present a framework for parameterizing moduli s
paces of Artin-Schreier curves in characteristic $p > 2$. This includes d
escribing a suitable standard model for the curves and computing invariant
s by isomorphisms in these models. This is joint work with Elisa Lorenzo
García\, Beth Malmskog\, and Renate Scheidler.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zachary Porat (Wesleyan University)
DTSTART:20260210T210000Z
DTEND:20260210T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/18
DESCRIPTION:Title: Cuspidal Cohomology Computations for Congruence Subgroups of $\\math
rm{SL}(3\, \\mathbb{Z})$\nby Zachary Porat (Wesleyan University) as pa
rt of Pioneer Valley Number Theory Seminar\n\nLecture held in Seeley Mudd
207 @Amherst College.\n\nAbstract\nAsh\, Grayson\, and Green computed the
action of Hecke operators on the cuspidal cohomology of congruence subgrou
ps $\\Gamma_0(3\, p) \\subseteq \\mathrm{SL}(3\, \\mathbb{Z})$ for small $
p$. The first part of the talk will discuss how we extended their work\,
gathering additional data for larger $p$ using a new technique which allow
s for computations directly on the space of interest. A natural question
to ask is for what other congruence subgroups of $\\mathrm{SL}(3\, \\mathb
b{Z})$ can one perform analogous computations. In the second part of the
talk\, we will detail techniques for working with congruence subgroups tha
t are Iwahori at $p$\, providing a framework for understanding the action
of Hecke operators on the corresponding cohomology.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brody Lynch (UMass Amherst)
DTSTART:20260217T210000Z
DTEND:20260217T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/19
DESCRIPTION:Title: Equidistribution of realizable Steinitz classes for Kummer extension
s\nby Brody Lynch (UMass Amherst) as part of Pioneer Valley Number The
ory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbstra
ct\nLet $\\ell$ be prime\, and $K$ be a number field containing the $\\ell
$-th roots of unity. We use techniques from classical algebraic number the
ory to prove that the Steinitz classes of $\\Z/\\ell\\Z$ extensions of $K$
are equidistributed among realizable classes in the ideal class group of
$K$. Similar equidistribution results have been proved for Galois groups $
S_2$ and $S_3$ by Kable and Wright and $S_4$ and $S_5$ by Bhargava\, Shank
ar\, and Wang using the theory of prehomogeneous vector spaces\, but this
is the first complete equidistribution result for an infinite class of Gal
ois groups.\n\nNext\, we discuss generalizations of this result to element
ary-$\\ell$ Galois groups using $V_4$ as an example. Additionally\, we wil
l give some initial results for Steinitz classes of ray class fields.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tom Weston (UMass Amherst)
DTSTART:20260224T210000Z
DTEND:20260224T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/20
DESCRIPTION:Title: Dedekind zeta functions of non-Galois torsion fields of elliptic cur
ves\nby Tom Weston (UMass Amherst) as part of Pioneer Valley Number Th
eory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstrac
t: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Unscheduled
DTSTART:20260310T200000Z
DTEND:20260310T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/22
DESCRIPTION:by Unscheduled as part of Pioneer Valley Number Theory Seminar
\n\nLecture held in Seeley Mudd 205 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Spring break)
DTSTART:20260317T200000Z
DTEND:20260317T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/23
DESCRIPTION:Title: Spring break\nby No Seminar (Spring break) as part of Pioneer Va
lley Number Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst Col
lege.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Tedeschi (Colorado State University)
DTSTART:20260324T200000Z
DTEND:20260324T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/24
DESCRIPTION:Title: A family of wildly ramified dynamical systems\nby Daniel Tedesch
i (Colorado State University) as part of Pioneer Valley Number Theory Semi
nar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nDyna
mical systems come naturally equipped with an algebraic invariant called t
he (profinite) iterated monodromy group. In this talk\, we introduce a dyn
amical analogue of the lifting problem for Galois covers\, considering lif
ts of a dynamical system which preserve its iterated monodromy group. We c
ompute the iterated monodromy group of all additive\, separable polynomial
s defined over $\\overline{\\mathbb{F}}_p$ and explore barriers to the res
ulting group arising in characteristic zero. We compare the degree $p$ cas
e with a $\\mathbb{Z}/p\\mathbb{Z}$-lift explicitly constructed by Green a
nd Matignon\, and find that no lift which preserves the geometric iterated
monodromy group can exist.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leah Sturman (Southern Connecticut State University)
DTSTART:20260331T200000Z
DTEND:20260331T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/25
DESCRIPTION:Title: Hypergeometric Decompositions of K3 Surface Pencils\nby Leah Stu
rman (Southern Connecticut State University) as part of Pioneer Valley Num
ber Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\
nAbstract\nIn this talk we will look at five pencils of projective quartic
surfaces with the aim of giving explicit formulas for the point counts ov
er finite fields of each. These point counts are written in terms of hyper
geometric sums. Given time\, we will discuss how to obtain a decomposition
of the incomplete L-function of each pencil in terms of hypergeometric L-
series and Dedekind zeta functions. This is joint work with Rachel Davis\,
Jessamyn Dukes\, Thais Gomes Ribeiro\, Eli Orvis\, Adriana Salerno\, and
Ursula Whitcher.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brandon Alberts (Eastern Michigan University)
DTSTART:20260512T200000Z
DTEND:20260512T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/26
DESCRIPTION:Title: Number Field Counting via Multiple Dirichlet Series\nby Brandon
Alberts (Eastern Michigan University) as part of Pioneer Valley Number The
ory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstra
ct\nI will show how to use multiple Dirichlet series techniques to prove n
ew asymptotics for the number of G-extensions with bounded discriminant\,
inspired by their use in the study of moments of $L$-functions. In particu
lar\, assuming the generalized Lindelof Hypothesis we prove the existence
of an asymptotic whenever $G$ has nilpotency class $2$. This work is joint
with Alina Bucur.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Senior Thesis week)
DTSTART:20260414T200000Z
DTEND:20260414T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/27
DESCRIPTION:Title: Senior Thesis week\nby No Seminar (Senior Thesis week) as part o
f Pioneer Valley Number Theory Seminar\n\nLecture held in Seeley Mudd 205
@Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (April Break)
DTSTART:20260421T200000Z
DTEND:20260421T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/28
DESCRIPTION:Title: April Break\nby No Seminar (April Break) as part of Pioneer Vall
ey Number Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst Colle
ge.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Hatley (Union College)
DTSTART:20260428T200000Z
DTEND:20260428T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/29
DESCRIPTION:Title: Ranks of elliptic curves in quadratic twist families via Iwasawa the
ory\nby Jeffrey Hatley (Union College) as part of Pioneer Valley Numbe
r Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nA
bstract\nFor a fixed elliptic curve $E/\\mathbb{Q}$\, Goldfeld's Conjectur
e predicts that half of its quadratic twists have rank 0 and half have ran
k 1. This conjecture is now a theorem in most cases\, due to recent work o
f Alex Smith. However\, it is still interesting to ask for effective versi
ons of this theorem\; for instance\, if one considers only twists by prime
numbers which are 1 mod 4\, what can be said about the rank distribution?
In this talk\, we will discuss joint work with Anwesh Ray which uses Iwas
awa theory to study some of these sorts of questions.\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20260127T210000Z
DTEND:20260127T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/31
DESCRIPTION:by No Seminar as part of Pioneer Valley Number Theory Seminar\
n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20260203T210000Z
DTEND:20260203T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/32
DESCRIPTION:Title: No Seminar\nby No Seminar as part of Pioneer Valley Number Theor
y Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract:
TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (No Seminar)
DTSTART:20260407T200000Z
DTEND:20260407T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/33
DESCRIPTION:Title: Previously scheduled seminar was moved to May 12\nby No Seminar
(No Seminar) as part of Pioneer Valley Number Theory Seminar\n\nLecture he
ld in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Organizational meeting
DTSTART:20260901T200000Z
DTEND:20260901T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/34
DESCRIPTION:by Organizational meeting as part of Pioneer Valley Number The
ory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract
: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20260908T200000Z
DTEND:20260908T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/35
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20260915T200000Z
DTEND:20260915T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/36
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Niven Achenjang (Harvard University)
DTSTART:20260922T200000Z
DTEND:20260922T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/37
DESCRIPTION:by Niven Achenjang (Harvard University) as part of Pioneer Val
ley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Coll
ege.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20260929T200000Z
DTEND:20260929T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/38
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261006T200000Z
DTEND:20261006T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/39
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20261013T200000Z
DTEND:20261013T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/40
DESCRIPTION:Title: Fall break\nby No Seminar as part of Pioneer Valley Number Theor
y Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract:
TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261020T200000Z
DTEND:20261020T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/41
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261027T200000Z
DTEND:20261027T210000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/42
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261103T210000Z
DTEND:20261103T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/43
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261110T210000Z
DTEND:20261110T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/44
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261117T210000Z
DTEND:20261117T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/45
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20261124T210000Z
DTEND:20261124T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/46
DESCRIPTION:Title: Thanksgiving\nby No Seminar as part of Pioneer Valley Number The
ory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract
: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261201T210000Z
DTEND:20261201T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/47
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261208T210000Z
DTEND:20261208T220000Z
DTSTAMP:20260819T083929Z
UID:FCNTS/48
DESCRIPTION:by TBA as part of Pioneer Valley Number Theory Seminar\n\nLect
ure held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/FCNTS/48/
END:VEVENT
END:VCALENDAR