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:20260422T142041Z
UID:FCNTS/1
DESCRIPTION:Title: Ex
plicit Arithmetic in Isogeny-Torsion Graphs\nby John Cullinan (Bard Co
llege) as part of Five College Number Theory Seminar\n\nLecture held in Se
eley Mudd 207 @Amherst College.\n\nAbstract\nLet E and E’ be isogenous e
lliptic curves defined over Q. Then their associated L-functions are equal
\; in particular\, their leading Taylor coefficients are equal. However (a
ssuming the conjecture of Birch and Swinnerton-Dyer)\, the individual arit
hmetic invariants that comprise the leading terms may not be. In this talk
we explore how the individual BSD terms change under a prime-degree isoge
ny and how to quantify the “likelihood” that such changes occur. This
is joint work with Alexander Barrios.\n
LOCATION:https://researchseminars.org/talk/FCNTS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Organizational Meeting
DTSTART:20250902T200000Z
DTEND:20250902T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/2
DESCRIPTION:by Organizational Meeting as part of Five College Number Theor
y Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Fall Break)
DTSTART:20251014T200000Z
DTEND:20251014T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/3
DESCRIPTION:by No Seminar (Fall Break) as part of Five College Number Theo
ry Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Thanksgiving)
DTSTART:20251125T210000Z
DTEND:20251125T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/4
DESCRIPTION:Title: Th
anksgiving\nby No Seminar (Thanksgiving) as part of Five College Numbe
r Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbs
tract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Santiago Arango-Piñeros (UMass Amherst)
DTSTART:20250909T200000Z
DTEND:20250909T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/5
DESCRIPTION:Title: Co
unting primitive integral solutions to generalized Fermat equations\nb
y Santiago Arango-Piñeros (UMass Amherst) as part of Five College Number
Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbs
tract\nI will explain the method of Fermat descent\; a modern incarnation
of Fermat's method of infinite descent (see https://arxiv.org/abs/2508.130
59 )\, and then use it to prove a refinement of Beukers' famous theorem on
the existence of parametrized solutions to spherical Fermat equations (se
e https://arxiv.org/abs/2508.13093 ).\n
LOCATION:https://researchseminars.org/talk/FCNTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicole Looper (Brown University)
DTSTART:20250923T200000Z
DTEND:20250923T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/6
DESCRIPTION:Title: Ul
trafilters and uniformity theorems\nby Nicole Looper (Brown University
) as part of Five College Number Theory Seminar\n\nLecture held in Seeley
Mudd 207 @Amherst College.\n\nAbstract\nUltrafilters formalize a generaliz
ed notion of convergence based on a prescribed idea of "largeness" for sub
sets of the natural numbers\, and underlie constructions like ultraproduct
s. In the study of moduli spaces\, they provide a clean way to encode dege
nerations and to establish uniformity results that are difficult to obtain
using ordinary limits. This talk will discuss applications of ultrafilter
s to uniformity theorems in dynamics and arithmetic geometry. After introd
ucing local results that arise from this approach\, I will sketch some of
the arithmetic consequences\, including uniform bounds on rational torsion
points on abelian varieties. This is joint work with Jit Wu Yap.\n
LOCATION:https://researchseminars.org/talk/FCNTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jen Paulhus (Mount Holyoke College)
DTSTART:20250930T200000Z
DTEND:20250930T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/7
DESCRIPTION:Title: Au
tomorphism groups of Riemann surfaces\nby Jen Paulhus (Mount Holyoke C
ollege) as part of Five College Number Theory Seminar\n\nLecture held in S
eeley Mudd 207 @Amherst College.\n\nAbstract\nClassification questions abo
ut automorphisms of compact Riemann surfaces date back to the 1800s. There
has been renewed interest in these questions over the last 30 years as ad
vances in computation have provided new ways to explore the area. We will
talk about some of those advancements focusing on groups which are automor
phisms in just about every genus they should be (particularly simple group
s and the alternating groups $A_n$). We also make a connection to non-norm
al subvarieties in the singular locus $\\mathcal{M}_g$.\n
LOCATION:https://researchseminars.org/talk/FCNTS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis Gaudet (UMass Amherst)
DTSTART:20251007T200000Z
DTEND:20251007T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/8
DESCRIPTION:Title: Co
unting biquadratic number fields that admit quaternionic or dihedral exten
sions\nby Louis Gaudet (UMass Amherst) as part of Five College Number
Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbs
tract\nMany interesting problems in arithmetic statistics involve counting
number fields (ordered by their discriminants\, say) with certain propert
ies. In joint work with Siman Wong (UMass Amherst)\, we establish asymptot
ic formulae for the number of biquadratic extensions of $\\mathbb{Q}$ that
admit a degree-2 extension with Galois group $G$\, where $G$ is either th
e quaternion group or the dihedral group (of order 8). We will discuss the
se results and how they are proved\, and we will discuss their significanc
e with regard to a theorem of Tate on lifts of projective Galois represent
ations.\n
LOCATION:https://researchseminars.org/talk/FCNTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Allen (Wesleyan University)
DTSTART:20251021T200000Z
DTEND:20251021T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/9
DESCRIPTION:Title: Ex
plicit Modularity of Hypergeometric Motives\nby Michael Allen (Wesleya
n University) as part of Five College Number Theory Seminar\n\nLecture hel
d in Seeley Mudd 207 @Amherst College.\n\nAbstract\nThe Modularity Theorem
states that given an elliptic curve one can find an associated modular fo
rm. One of the more striking aspects of the Modularity Theorem is the var
iety of seemingly unrelated ways in which the relationship between the ell
iptic curve and the modular form can be stated. For this talk\, the prima
ry formulations of modularity we will be interested in are the equality of
elliptic and modular $L$-functions\, equality between the number of point
s on the elliptic curve mod $p$ with the Fourier coefficients of the modul
ar form\, and finally an isomorphism between elliptic and modular Galois r
epresentations. Each of these connections can be made explicit by express
ing both sides in terms of hypergeometric functions (over $\\mathbb{C}$)\,
hypergeometric character sums (over $\\mathbb{F}_p$)\, and hypergeometric
Galois representations (over $\\mathbb{Q}_\\ell)$. More generally\, each
of these connections correspond to De Rham\, crystalline\, and étale rea
lizations of hypergeometric motives. We discuss recent and upcoming work
with Grove\, Long\, and Tu using these hypergeometric perspectives towards
understanding generalizations of the Modularity Theorem for these hyperge
ometric motives.\n
LOCATION:https://researchseminars.org/talk/FCNTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kate Finnerty (Boston University)
DTSTART:20251028T200000Z
DTEND:20251028T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/10
DESCRIPTION:Title: O
n the possible adelic indices of certain families of elliptic curves\n
by Kate Finnerty (Boston University) as part of Five College Number Theory
Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbstract\
nA well-known theorem of Serre bounds the largest prime $\\ell$ for which
the mod $\\ell$ Galois representation of a non-CM elliptic curve $E/\\math
bb{Q}$ is nonsurjective. Serre asked whether a universal bound on the larg
est nonsurjective prime might exist. Significant partial progress has been
made toward this question. Lemos proved that it has an affirmative answer
for all $E$ admitting a rational cyclic isogeny. Zywina offered a more am
bitious conjecture about the possible adelic indices that can occur 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 conjectur
e for certain families of elliptic curves.\n
LOCATION:https://researchseminars.org/talk/FCNTS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No seminar (Election day)
DTSTART:20251104T210000Z
DTEND:20251104T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/11
DESCRIPTION:Title: E
lection day\nby No seminar (Election day) as part of Five College Numb
er Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAb
stract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No seminar (Holiday)
DTSTART:20251111T210000Z
DTEND:20251111T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/12
DESCRIPTION:Title: H
oliday\nby No seminar (Holiday) as part of Five College Number Theory
Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/FCNTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rylan Gajek-Leonard (Union College)
DTSTART:20251118T210000Z
DTEND:20251118T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/13
DESCRIPTION:Title: M
azur-Tate elements of non-ordinary modular forms with Serre weight larger
than two\nby Rylan Gajek-Leonard (Union College) as part of Five Colle
ge Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Colle
ge.\n\nAbstract\nFix an odd prime $p$ and let $f$ be a non-ordinary eigen-
cuspform of weight $k$ and level coprime to $p$. In this talk\, we describ
e asymptotic formulas for the Iwasawa invariants of the Mazur--Tate elemen
ts attached to $f$ of weight $k\\leq p$ in terms of the corresponding inva
riants of the signed $p$-adic $L$-functions. Combined with a version of mo
d $p$ multiplicity one\, we use these formulas to obtain descriptions of t
he $\\lambda$-invariants of Mazur--Tate elements attached to certain highe
r weight modular forms having Serre weight $\\leq p$\, generalizing result
s of Pollack and Weston in the Serre weight 2 case. This is joint work wit
h Antonio Lei.\n
LOCATION:https://researchseminars.org/talk/FCNTS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cancelled
DTSTART:20251202T210000Z
DTEND:20251202T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/14
DESCRIPTION:Title: d
ue to snow\nby Cancelled as part of Five College Number Theory Seminar
\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robin Zhang (MIT)
DTSTART:20251209T210000Z
DTEND:20251209T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/15
DESCRIPTION:Title: A
Lie-theoretic trichotomy in Diophantine geometry and arithmetic dynamics<
/a>\nby Robin Zhang (MIT) as part of Five College Number Theory Seminar\n\
nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nHow can th
e finite/infinite dichotomy of the Killing–Cartan classification of simp
le Lie groups & algebras appear in number theory? I will explain how this
Lie-theoretic dichotomy is realized in the finiteness or infinitude of pos
itive integer solutions to certain Diophantine equations and explore some
of its implications for classical questions studied by Gauss\, Mordell\, C
oxeter\, 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 the finite
/infinite dichotomy into a finite/affine/indefinite trichotomy that matche
s the Kac–Moody classification of infinite-dimensional Lie algebras.\n
LOCATION:https://researchseminars.org/talk/FCNTS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alice Lin (Harvard University)
DTSTART:20260505T200000Z
DTEND:20260505T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/16
DESCRIPTION:Title: F
initeness of heights in isogeny classes of motives\nby Alice Lin (Harv
ard University) as part of Five College Number Theory Seminar\n\nLecture h
eld in Seeley Mudd 205 @Amherst College.\n\nAbstract\nUsing integral $p$-a
dic Hodge theory\, Kato and Koshikawa define a generalization of the Falti
ngs height of an abelian variety to motives defined over a number field. A
ssuming the adelic Mumford-Tate conjecture\, we prove a finiteness propert
y for heights in the isogeny class of a motive\, where the isogenous motiv
es are not required to be defined over the same number field. This expands
on a result of Kisin and Mocz for the Faltings height in isogeny classes
of abelian varieties.\n
LOCATION:https://researchseminars.org/talk/FCNTS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juanita Duque-Rosero (Boston University)
DTSTART:20260303T210000Z
DTEND:20260303T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/17
DESCRIPTION:Title: I
nvariants for Artin-Schreier curves\nby Juanita Duque-Rosero (Boston U
niversity) as part of Five College Number Theory Seminar\n\nLecture held i
n Seeley Mudd 207 @Amherst College.\n\nAbstract\nArtin-Schreier curves are
curves over algebraically closed fields of characteristic p\, defined by
the equation $y^p - y = f(x)$\, where $f(x)$ is a rational function. In t
his talk\, I will present a framework for parameterizing moduli spaces of
Artin-Schreier curves in characteristic $p > 2$. This includes describing
a suitable standard model for the curves and computing invariants by isom
orphisms in these models. This is joint work with Elisa Lorenzo García\,
Beth Malmskog\, and Renate Scheidler.\n
LOCATION:https://researchseminars.org/talk/FCNTS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zachary Porat (Wesleyan University)
DTSTART:20260210T210000Z
DTEND:20260210T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/18
DESCRIPTION:Title: C
uspidal Cohomology Computations for Congruence Subgroups of $\\mathrm{SL}(
3\, \\mathbb{Z})$\nby Zachary Porat (Wesleyan University) as part of F
ive College Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amhe
rst College.\n\nAbstract\nAsh\, Grayson\, and Green computed the action of
Hecke operators on the cuspidal cohomology of congruence subgroups $\\Gam
ma_0(3\, p) \\subseteq \\mathrm{SL}(3\, \\mathbb{Z})$ 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 allows for com
putations directly on the space of interest. A natural question to ask is
for what other congruence subgroups of $\\mathrm{SL}(3\, \\mathbb{Z})$ ca
n one perform analogous computations. In the second part of the talk\, we
will detail techniques for working with congruence subgroups that are Iwa
hori at $p$\, providing a framework for understanding the action of Hecke
operators on the corresponding cohomology.\n
LOCATION:https://researchseminars.org/talk/FCNTS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brody Lynch (UMass Amherst)
DTSTART:20260217T210000Z
DTEND:20260217T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/19
DESCRIPTION:Title: E
quidistribution of realizable Steinitz classes for Kummer extensions\n
by Brody Lynch (UMass Amherst) as part of Five College Number Theory Semin
ar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nLet $
\\ell$ be prime\, and $K$ be a number field containing the $\\ell$-th root
s of unity. We use techniques from classical algebraic number theory to pr
ove that the Steinitz classes of $\\Z/\\ell\\Z$ extensions of $K$ are equi
distributed among realizable classes in the ideal class group of $K$. Simi
lar 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\, Shankar\, and
Wang using the theory of prehomogeneous vector spaces\, but this is the fi
rst complete equidistribution result for an infinite class of Galois group
s.\n\nNext\, we discuss generalizations of this result to elementary-$\\el
l$ Galois groups using $V_4$ as an example. Additionally\, we will give so
me initial results for Steinitz classes of ray class fields.\n
LOCATION:https://researchseminars.org/talk/FCNTS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tom Weston (UMass Amherst)
DTSTART:20260224T210000Z
DTEND:20260224T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/20
DESCRIPTION:Title: D
edekind zeta functions of non-Galois torsion fields of elliptic curves
\nby Tom Weston (UMass Amherst) as part of Five College Number Theory Semi
nar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Unscheduled
DTSTART:20260310T200000Z
DTEND:20260310T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/22
DESCRIPTION:by Unscheduled as part of Five College Number Theory Seminar\n
\nLecture held in Seeley Mudd 205 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Spring break)
DTSTART:20260317T200000Z
DTEND:20260317T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/23
DESCRIPTION:Title: S
pring break\nby No Seminar (Spring break) as part of Five College Numb
er Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\nAb
stract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Tedeschi (Colorado State University)
DTSTART:20260324T200000Z
DTEND:20260324T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/24
DESCRIPTION:Title: A
family of wildly ramified dynamical systems\nby Daniel Tedeschi (Colo
rado State University) as part of Five College Number Theory Seminar\n\nLe
cture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nDynamical sys
tems come naturally equipped with an algebraic invariant called the (profi
nite) iterated monodromy group. In this talk\, we introduce a dynamical an
alogue of the lifting problem for Galois covers\, considering lifts of a d
ynamical system which preserve its iterated monodromy group. We compute th
e iterated monodromy group of all additive\, separable polynomials defined
over $\\overline{\\mathbb{F}}_p$ and explore barriers to the resulting gr
oup arising in characteristic zero. We compare the degree $p$ case with a
$\\mathbb{Z}/p\\mathbb{Z}$-lift explicitly constructed by Green and Matign
on\, and find that no lift which preserves the geometric iterated monodrom
y group can exist.\n
LOCATION:https://researchseminars.org/talk/FCNTS/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leah Sturman (Southern Connecticut State University)
DTSTART:20260331T200000Z
DTEND:20260331T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/25
DESCRIPTION:Title: H
ypergeometric Decompositions of K3 Surface Pencils\nby Leah Sturman (S
outhern Connecticut State University) as part of Five College Number Theor
y 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 over finite
fields of each. These point counts are written in terms of hypergeometric
sums. Given time\, we will discuss how to obtain a decomposition of the i
ncomplete L-function of each pencil in terms of hypergeometric L-series an
d Dedekind zeta functions. This is joint work with Rachel Davis\, Jessamyn
Dukes\, Thais Gomes Ribeiro\, Eli Orvis\, Adriana Salerno\, and Ursula Wh
itcher.\n
LOCATION:https://researchseminars.org/talk/FCNTS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brandon Alberts (Eastern Michigan University)
DTSTART:20260512T200000Z
DTEND:20260512T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/26
DESCRIPTION:Title: N
umber Field Counting via Multiple Dirichlet Series\nby Brandon Alberts
(Eastern Michigan University) as part of Five College Number Theory Semin
ar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nI wil
l show how to use multiple Dirichlet series techniques to prove new asympt
otics for the number of G-extensions with bounded discriminant\, inspired
by their use in the study of moments of $L$-functions. In particular\, ass
uming the generalized Lindelof Hypothesis we prove the existence of an asy
mptotic whenever $G$ has nilpotency class $2$. This work is joint with Ali
na Bucur.\n
LOCATION:https://researchseminars.org/talk/FCNTS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Senior Thesis week)
DTSTART:20260414T200000Z
DTEND:20260414T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/27
DESCRIPTION:Title: S
enior Thesis week\nby No Seminar (Senior Thesis week) as part of Five
College Number Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst
College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (April Break)
DTSTART:20260421T200000Z
DTEND:20260421T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/28
DESCRIPTION:Title: A
pril Break\nby No Seminar (April Break) as part of Five College Number
Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\nAbst
ract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Hatley (Union College)
DTSTART:20260428T200000Z
DTEND:20260428T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/29
DESCRIPTION:Title: R
anks of elliptic curves in quadratic twist families via Iwasawa theory
\nby Jeffrey Hatley (Union College) as part of Five College Number Theory
Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\n
For a fixed elliptic curve $E/\\mathbb{Q}$\, Goldfeld's Conjecture predict
s that half of its quadratic twists have rank 0 and half have rank 1. This
conjecture is now a theorem in most cases\, due to recent work of Alex Sm
ith. However\, it is still interesting to ask for effective versions of th
is 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 Iwasawa theor
y to study some of these sorts of questions.\n
LOCATION:https://researchseminars.org/talk/FCNTS/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20260127T210000Z
DTEND:20260127T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/31
DESCRIPTION:by No Seminar as part of Five College Number Theory Seminar\n\
nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20260203T210000Z
DTEND:20260203T220000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/32
DESCRIPTION:Title: N
o Seminar\nby No Seminar as part of Five College Number Theory Seminar
\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (No Seminar)
DTSTART:20260407T200000Z
DTEND:20260407T210000Z
DTSTAMP:20260422T142041Z
UID:FCNTS/33
DESCRIPTION:Title: P
reviously scheduled seminar was moved to May 12\nby No Seminar (No Sem
inar) as part of Five College Number Theory Seminar\n\nLecture held in See
ley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/33/
END:VEVENT
END:VCALENDAR