BEGIN:VCALENDAR
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PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:John Cullinan (Bard College)
DTSTART:20250916T200000Z
DTEND:20250916T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/1/">Ex
 plicit Arithmetic in Isogeny-Torsion Graphs</a>\nby John Cullinan (Bard Co
 llege) as part of Pioneer Valley Number Theory Seminar\n\nLecture held in 
 Seeley Mudd 207 @Amherst College.\n\nAbstract\nLet E and E’ be isogenous
  elliptic curves defined over Q. Then their associated L-functions are equ
 al\; in particular\, their leading Taylor coefficients are equal. However 
 (assuming the conjecture of Birch and Swinnerton-Dyer)\, the individual ar
 ithmetic invariants that comprise the leading terms may not be. In this ta
 lk we explore how the individual BSD terms change under a prime-degree iso
 geny and how to quantify the “likelihood” that such changes occur. Thi
 s 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:20260824T055744Z
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://researchseminars.org/talk/FCNTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Fall Break)
DTSTART:20251014T200000Z
DTEND:20251014T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Thanksgiving)
DTSTART:20251125T210000Z
DTEND:20251125T220000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/4/">Th
 anksgiving</a>\nby No Seminar (Thanksgiving) as part of Pioneer Valley Num
 ber Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nA
 bstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Santiago Arango-Piñeros (UMass Amherst)
DTSTART:20250909T200000Z
DTEND:20250909T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/5/">Co
 unting primitive integral solutions to generalized Fermat equations</a>\nb
 y Santiago Arango-Piñeros (UMass Amherst) as part of Pioneer Valley Numbe
 r Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nA
 bstract\nI will explain the method of Fermat descent\; a modern incarnatio
 n of Fermat's method of infinite descent (see https://arxiv.org/abs/2508.1
 3059 )\, and then use it to prove a refinement of Beukers' famous theorem 
 on the existence of parametrized solutions to spherical Fermat equations (
 see 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:20260824T055744Z
UID:FCNTS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/6/">Ul
 trafilters and uniformity theorems</a>\nby Nicole Looper (Brown University
 ) as part of Pioneer Valley Number Theory Seminar\n\nLecture held in Seele
 y Mudd 207 @Amherst College.\n\nAbstract\nUltrafilters formalize a general
 ized notion of convergence based on a prescribed idea of "largeness" for s
 ubsets of the natural numbers\, and underlie constructions like ultraprodu
 cts. In the study of moduli spaces\, they provide a clean way to encode de
 generations and to establish uniformity results that are difficult to obta
 in using ordinary limits. This talk will discuss applications of ultrafilt
 ers to uniformity theorems in dynamics and arithmetic geometry. After intr
 oducing local results that arise from this approach\, I will sketch some o
 f the arithmetic consequences\, including uniform bounds on rational torsi
 on 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:20260824T055744Z
UID:FCNTS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/7/">Au
 tomorphism groups of Riemann surfaces</a>\nby Jen Paulhus (Mount Holyoke C
 ollege) as part of Pioneer Valley Number Theory Seminar\n\nLecture held in
  Seeley Mudd 207 @Amherst College.\n\nAbstract\nClassification questions a
 bout automorphisms of compact Riemann surfaces date back to the 1800s. The
 re has been renewed interest in these questions over the last 30 years as 
 advances in computation have provided new ways to explore the area. We wil
 l talk about some of those advancements focusing on groups which are autom
 orphisms in just about every genus they should be (particularly simple gro
 ups and the alternating groups $A_n$). We also make a connection to non-no
 rmal 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:20260824T055744Z
UID:FCNTS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/8/">Co
 unting biquadratic number fields that admit quaternionic or dihedral exten
 sions</a>\nby Louis Gaudet (UMass Amherst) as part of Pioneer Valley Numbe
 r Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nA
 bstract\nMany interesting problems in arithmetic statistics involve counti
 ng number fields (ordered by their discriminants\, say) with certain prope
 rties. In joint work with Siman Wong (UMass Amherst)\, we establish asympt
 otic formulae for the number of biquadratic extensions of $\\mathbb{Q}$ th
 at 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 discuss t
 hese results and how they are proved\, and we will discuss their significa
 nce with regard to a theorem of Tate on lifts of projective Galois represe
 ntations.\n
LOCATION:https://researchseminars.org/talk/FCNTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Allen (Wesleyan University)
DTSTART:20251021T200000Z
DTEND:20251021T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/9/">Ex
 plicit Modularity of Hypergeometric Motives</a>\nby Michael Allen (Wesleya
 n University) as part of Pioneer Valley Number Theory Seminar\n\nLecture h
 eld in Seeley Mudd 207 @Amherst College.\n\nAbstract\nThe Modularity Theor
 em states that given an elliptic curve one can find an associated modular 
 form.  One of the more striking aspects of the Modularity Theorem is the v
 ariety of seemingly unrelated ways in which the relationship between the e
 lliptic curve and the modular form can be stated.  For this talk\, the pri
 mary formulations of modularity we will be interested in are the equality 
 of elliptic and modular $L$-functions\, equality between the number of poi
 nts on the elliptic curve mod $p$ with the Fourier coefficients of the mod
 ular form\, and finally an isomorphism between elliptic and modular Galois
  representations.  Each of these connections can be made explicit by expre
 ssing both sides in terms of hypergeometric functions (over $\\mathbb{C}$)
 \, hypergeometric character sums (over $\\mathbb{F}_p$)\, and hypergeometr
 ic Galois representations (over $\\mathbb{Q}_\\ell)$.  More generally\, ea
 ch of these connections correspond to De Rham\, crystalline\, and étale r
 ealizations of hypergeometric motives.  We discuss recent and upcoming wor
 k with Grove\, Long\, and Tu using these hypergeometric perspectives towar
 ds understanding generalizations of the Modularity Theorem for these hyper
 geometric motives.\n
LOCATION:https://researchseminars.org/talk/FCNTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kate Finnerty (Boston University)
DTSTART:20251028T200000Z
DTEND:20251028T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/10/">O
 n the possible adelic indices of certain families of elliptic curves</a>\n
 by Kate Finnerty (Boston University) as part of Pioneer Valley Number Theo
 ry Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbstrac
 t\nA well-known theorem of Serre bounds the largest prime $\\ell$ for whic
 h the mod $\\ell$ Galois representation of a non-CM elliptic curve $E/\\ma
 thbb{Q}$ is nonsurjective. Serre asked whether a universal bound on the la
 rgest nonsurjective prime might exist. Significant partial progress has be
 en made toward this question. Lemos proved that it has an affirmative answ
 er for all $E$ admitting a rational cyclic isogeny. Zywina offered a more 
 ambitious conjecture about the possible adelic indices that can occur as $
 E$ varies. We will discuss a recent project (joint with Tyler Genao\, Jaco
 b Mayle\, and Rakvi) that extends Lemos's result to prove Zywina's conject
 ure 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:20260824T055744Z
UID:FCNTS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/11/">E
 lection day</a>\nby No seminar (Election day) as part of Pioneer Valley Nu
 mber Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\n
 Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No seminar (Holiday)
DTSTART:20251111T210000Z
DTEND:20251111T220000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/12/">H
 oliday</a>\nby No seminar (Holiday) as part of Pioneer Valley Number Theor
 y Seminar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: 
 TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rylan Gajek-Leonard (Union College)
DTSTART:20251118T210000Z
DTEND:20251118T220000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/13/">M
 azur-Tate elements of non-ordinary modular forms with Serre weight larger 
 than two</a>\nby Rylan Gajek-Leonard (Union College) as part of Pioneer Va
 lley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Amherst Col
 lege.\n\nAbstract\nFix an odd prime $p$ and let $f$ be a non-ordinary eige
 n-cuspform of weight $k$ and level coprime to $p$. In this talk\, we descr
 ibe asymptotic formulas for the Iwasawa invariants of the Mazur--Tate elem
 ents attached to $f$ of weight $k\\leq p$ in terms of the corresponding in
 variants of the signed $p$-adic $L$-functions. Combined with a version of 
 mod $p$ multiplicity one\, we use these formulas to obtain descriptions of
  the $\\lambda$-invariants of Mazur--Tate elements attached to certain hig
 her weight modular forms having Serre weight $\\leq p$\, generalizing resu
 lts of Pollack and Weston in the Serre weight 2 case. This is joint work w
 ith Antonio Lei.\n
LOCATION:https://researchseminars.org/talk/FCNTS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cancelled
DTSTART:20251202T210000Z
DTEND:20251202T220000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/14/">d
 ue to snow</a>\nby Cancelled as part of Pioneer Valley Number Theory Semin
 ar\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:20260824T055744Z
UID:FCNTS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/15/">A
  Lie-theoretic trichotomy in Diophantine geometry and arithmetic dynamics<
 /a>\nby Robin Zhang (MIT) as part of Pioneer Valley Number Theory Seminar\
 n\nLecture held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nHow can 
 the finite/infinite dichotomy of the Killing–Cartan classification of si
 mple Lie groups & algebras appear in number theory? I will explain how thi
 s Lie-theoretic dichotomy is realized in the finiteness or infinitude of p
 ositive integer solutions to certain Diophantine equations and explore som
 e of its implications for classical questions studied by Gauss\, Mordell\,
  Coxeter\, Conway\, and Schinzel in combinatorics and number theory. I wil
 l then switch gears to the arithmetic dynamics of cluster Donaldson–Thom
 as transformations\, which refines the Diophantine realization of the fini
 te/infinite dichotomy into a finite/affine/indefinite trichotomy that matc
 hes 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:20260505T193000Z
DTEND:20260505T203000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/16/">F
 initeness of heights in isogeny classes of motives</a>\nby Alice Lin (Harv
 ard University) as part of Pioneer Valley Number Theory Seminar\n\nLecture
  held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nUsing integral $p$
 -adic Hodge theory\, Kato and Koshikawa define a generalization of the Fal
 tings height of an abelian variety to motives defined over a number field.
  Assuming the adelic Mumford-Tate conjecture\, we prove a finiteness prope
 rty for heights in the isogeny class of a motive\, where the isogenous mot
 ives are not required to be defined over the same number field. This expan
 ds on a result of Kisin and Mocz for the Faltings height in isogeny classe
 s 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:20260824T055744Z
UID:FCNTS/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/17/">I
 nvariants for Artin-Schreier curves</a>\nby Juanita Duque-Rosero (Boston U
 niversity) as part of Pioneer Valley Number Theory Seminar\n\nLecture held
  in Seeley Mudd 207 @Amherst College.\n\nAbstract\nArtin-Schreier curves a
 re curves over algebraically closed fields of characteristic p\, defined b
 y the equation $y^p - y = f(x)$\, where $f(x)$ is a rational function.  In
  this talk\, I will present a framework for parameterizing moduli spaces o
 f Artin-Schreier curves in characteristic $p > 2$.  This includes describi
 ng a suitable standard model for the curves and computing invariants by is
 omorphisms 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:20260824T055744Z
UID:FCNTS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/18/">C
 uspidal Cohomology Computations for Congruence Subgroups of $\\mathrm{SL}(
 3\, \\mathbb{Z})$</a>\nby Zachary Porat (Wesleyan University) as part of P
 ioneer Valley Number Theory Seminar\n\nLecture held in Seeley Mudd 207 @Am
 herst College.\n\nAbstract\nAsh\, Grayson\, and Green computed the action 
 of Hecke operators on the cuspidal cohomology of congruence subgroups $\\G
 amma_0(3\, p) \\subseteq \\mathrm{SL}(3\, \\mathbb{Z})$ for small $p$.  Th
 e first part of the talk will discuss how we extended their work\, gatheri
 ng additional data for larger $p$ using a new technique which allows for c
 omputations directly on the space of interest.  A natural question to ask 
 is for what other congruence subgroups of $\\mathrm{SL}(3\, \\mathbb{Z})$ 
 can one perform analogous computations.  In the second part of the talk\, 
 we will detail techniques for working with congruence subgroups that are I
 wahori at $p$\, providing a framework for understanding the action of Heck
 e 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:20260824T055744Z
UID:FCNTS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/19/">E
 quidistribution of realizable Steinitz classes for Kummer extensions</a>\n
 by Brody Lynch (UMass Amherst) as part of Pioneer Valley Number Theory Sem
 inar\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 ro
 ots of unity. We use techniques from classical algebraic number theory to 
 prove that the Steinitz classes of $\\Z/\\ell\\Z$ extensions of $K$ are eq
 uidistributed among realizable classes in the ideal class group of $K$. Si
 milar equidistribution results have been proved for Galois groups $S_2$ an
 d $S_3$ by Kable and Wright and $S_4$ and $S_5$ by Bhargava\, Shankar\, an
 d Wang using the theory of prehomogeneous vector spaces\, but this is the 
 first complete equidistribution result for an infinite class of Galois gro
 ups.\n\nNext\, we discuss generalizations of this result to elementary-$\\
 ell$ Galois groups using $V_4$ as an example. Additionally\, we will give 
 some 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:20260824T055744Z
UID:FCNTS/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/20/">D
 edekind zeta functions of non-Galois torsion fields of elliptic curves</a>
 \nby Tom Weston (UMass Amherst) as part of Pioneer Valley Number Theory Se
 minar\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:20260824T055744Z
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://researchseminars.org/talk/FCNTS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Spring break)
DTSTART:20260317T200000Z
DTEND:20260317T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/23/">S
 pring break</a>\nby No Seminar (Spring break) as part of Pioneer Valley Nu
 mber Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n
 Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Tedeschi (Colorado State University)
DTSTART:20260324T200000Z
DTEND:20260324T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/24/">A
  family of wildly ramified dynamical systems</a>\nby Daniel Tedeschi (Colo
 rado State University) as part of Pioneer Valley Number Theory Seminar\n\n
 Lecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nDynamical s
 ystems come naturally equipped with an algebraic invariant called the (pro
 finite) iterated monodromy group. In this talk\, we introduce a dynamical 
 analogue of the lifting problem for Galois covers\, considering lifts of a
  dynamical system which preserve its iterated monodromy group. We compute 
 the iterated monodromy group of all additive\, separable polynomials defin
 ed over $\\overline{\\mathbb{F}}_p$ and explore barriers to the resulting 
 group arising in characteristic zero. We compare the degree $p$ case with 
 a $\\mathbb{Z}/p\\mathbb{Z}$-lift explicitly constructed by Green and Mati
 gnon\, and find that no lift which preserves the geometric iterated monodr
 omy 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:20260824T055744Z
UID:FCNTS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/25/">H
 ypergeometric Decompositions of K3 Surface Pencils</a>\nby Leah Sturman (S
 outhern Connecticut State University) as part of Pioneer Valley Number The
 ory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstra
 ct\nIn this talk we will look at five pencils of projective quartic surfac
 es with the aim of giving explicit formulas for the point counts over fini
 te fields of each. These point counts are written in terms of hypergeometr
 ic 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\, Jessam
 yn Dukes\, Thais Gomes Ribeiro\, Eli Orvis\, Adriana Salerno\, and Ursula 
 Whitcher.\n
LOCATION:https://researchseminars.org/talk/FCNTS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brandon Alberts (Eastern Michigan University)
DTSTART:20260512T200000Z
DTEND:20260512T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/26/">N
 umber Field Counting via Multiple Dirichlet Series</a>\nby Brandon Alberts
  (Eastern Michigan University) as part of Pioneer Valley Number Theory Sem
 inar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nI w
 ill show how to use multiple Dirichlet series techniques to prove new asym
 ptotics for the number of G-extensions with bounded discriminant\, inspire
 d by their use in the study of moments of $L$-functions. In particular\, a
 ssuming the generalized Lindelof Hypothesis we prove the existence of an a
 symptotic whenever $G$ has nilpotency class $2$. This work is joint with A
 lina Bucur.\n
LOCATION:https://researchseminars.org/talk/FCNTS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar (Senior Thesis week)
DTSTART:20260414T200000Z
DTEND:20260414T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/27/">S
 enior Thesis week</a>\nby No Seminar (Senior Thesis week) as part of Pione
 er Valley Number Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amhers
 t 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:20260824T055744Z
UID:FCNTS/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/28/">A
 pril Break</a>\nby No Seminar (April Break) as part of Pioneer Valley Numb
 er Theory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\nAb
 stract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Hatley (Union College)
DTSTART:20260428T200000Z
DTEND:20260428T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/29/">R
 anks of elliptic curves in quadratic twist families via Iwasawa theory</a>
 \nby Jeffrey Hatley (Union College) as part of Pioneer Valley Number Theor
 y Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstract
 \nFor a fixed elliptic curve $E/\\mathbb{Q}$\, Goldfeld's Conjecture predi
 cts that half of its quadratic twists have rank 0 and half have rank 1. Th
 is conjecture is now a theorem in most cases\, due to recent work of Alex 
 Smith. However\, it is still interesting to ask for effective versions of 
 this theorem\; for instance\, if one considers only twists by prime number
 s which are 1 mod 4\, what can be said about the rank distribution? In thi
 s talk\, we will discuss joint work with Anwesh Ray which uses Iwasawa the
 ory 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:20260824T055744Z
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://researchseminars.org/talk/FCNTS/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20260203T210000Z
DTEND:20260203T220000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/32/">N
 o Seminar</a>\nby No Seminar as part of Pioneer Valley Number Theory Semin
 ar\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:20260824T055744Z
UID:FCNTS/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/33/">P
 reviously scheduled seminar was moved to May 12</a>\nby No Seminar (No Sem
 inar) as part of Pioneer Valley Number Theory Seminar\n\nLecture held in S
 eeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Organizational meeting
DTSTART:20260901T200000Z
DTEND:20260901T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20260908T200000Z
DTEND:20260908T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20260915T200000Z
DTEND:20260915T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Niven Achenjang (Harvard University)
DTSTART:20260922T200000Z
DTEND:20260922T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20260929T200000Z
DTEND:20260929T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261006T200000Z
DTEND:20261006T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20261013T200000Z
DTEND:20261013T210000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/40/">F
 all break</a>\nby No Seminar as part of Pioneer Valley Number Theory Semin
 ar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261020T200000Z
DTEND:20261020T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261027T200000Z
DTEND:20261027T210000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261103T210000Z
DTEND:20261103T220000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261110T210000Z
DTEND:20261110T220000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261117T210000Z
DTEND:20261117T220000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No Seminar
DTSTART:20261124T210000Z
DTEND:20261124T220000Z
DTSTAMP:20260824T055744Z
UID:FCNTS/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/46/">T
 hanksgiving</a>\nby No Seminar as part of Pioneer Valley Number Theory Sem
 inar\n\nLecture held in Seeley Mudd 207 @Amherst College.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FCNTS/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261201T210000Z
DTEND:20261201T220000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA
DTSTART:20261208T210000Z
DTEND:20261208T220000Z
DTSTAMP:20260824T055744Z
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://researchseminars.org/talk/FCNTS/48/
END:VEVENT
END:VCALENDAR