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BEGIN:VEVENT
SUMMARY:Dennis Stanton (University of Minnesota)
DTSTART:20200818T160000Z
DTEND:20200818T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/1/">Historical remarks and recent conjectures for integer par
 titions</a>\nby Dennis Stanton (University of Minnesota) as part of Vander
 bilt Number Theory Seminar\n\n\nAbstract\nI will concentrate on two areas:
 \n\n(1) ranks\, cranks\, and the Ramanujan congruences for $p(n)$\,\n\n(2)
  the Rogers-Ramanujan identities and MacMahon’s combinatorial versions.\
 n\nSeveral open questions will be presented.\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolas Allen Smoot (RISC)
DTSTART:20200908T160000Z
DTEND:20200908T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/2/">Partition congruences and the localization method</a>\nby
  Nicolas Allen Smoot (RISC) as part of Vanderbilt Number Theory Seminar\n\
 n\nAbstract\nA notable problem in partition theory is the study of infinit
 e families of partition congruences modulo powers of a prime.  It has rece
 ntly been discovered that there exist congruence families\, associated wit
 h a modular curve of genus 0\, for which the traditional methods of proof 
 fail.  One such congruence family is related to the spt analogue of the om
 ega mock theta function.  We recently gave a proof of this congruence fami
 ly by a new method\, based on the manipulation of a localized polynomial r
 ing\, rather than by studying $ \\mathbb{Z}[X] $ via the more classical me
 thods.  We will give a brief outline of this method\, its surprisingly uni
 que characteristics\, and its potential for future work.\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Walter Bridges (LSU)
DTSTART:20200915T160000Z
DTEND:20200915T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/3/">Statistics for Partitions and Unimodal Sequences</a>\nby 
 Walter Bridges (LSU) as part of Vanderbilt Number Theory Seminar\n\n\nAbst
 ract\nThe study of the asymptotic distribution of statistics for partition
 s lies at a crossroads of classical methods and the more recent probabilis
 tic framework of Fristedt and others.  We discuss two results---one that u
 ses the probabilistic machinery and one that calls for a more direct ``ele
 mentary'' method.\n\nWe first review Fristedt's conditioning device and\, 
 following Romik\, implement a similar construction to give an asymptotic f
 ormula for distinct parts partitions of $n$ with largest part bounded by $
 t\\sqrt{n}$.  We discuss the intuitive advantages of this approach over a 
 classical circle method/saddle-point method proof.\n\nWe then turn to unim
 odal sequences\, a generalization of partitions where parts are allowed to
  increase and then decrease.  We use an elementary approach to prove limit
  shapes for the diagrams of strongly\, semi-strict and unrestricted unimod
 al sequences.  We also recover a limit shape for overpartitions via a simp
 le transfer.\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gene Kopp (University of Bristol)
DTSTART:20200922T160000Z
DTEND:20200922T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/4/">Indefinite zeta functions</a>\nby Gene Kopp (University o
 f Bristol) as part of Vanderbilt Number Theory Seminar\n\n\nAbstract\nInde
 finite theta functions were introduced by Sander Zwegers in his thesis\, i
 n which they are used to generalize and explain the remarkable properties 
 of Ramanujan’s mock theta functions. In this talk\, we will discuss the 
 Mellin transforms of indefinite theta functions\, which we call indefinite
  zeta functions. Indefinite zeta functions satisfy a functional equation a
 nd live in a continuous parameter space. Special points in this parameter 
 space yield arithmetically interesting zeta functions\, such as certain di
 fferences of ray class zeta functions of real quadratic fields. Generally\
 , however\, indefinite zeta functions are not Dirichlet series but have a 
 series expansion involving hypergeometric functions. We prove a Kronecker 
 limit formula in dimension 2 for indefinite zeta functions as s=0\, which 
 specializes to a new analytic formula for Stark class invariants.\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hannah Burson (University of Minnesota)
DTSTART:20200929T160000Z
DTEND:20200929T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/5/">Mock theta functions\, false theta functions\, and weight
 ed odd Ferrers diagrams.</a>\nby Hannah Burson (University of Minnesota) a
 s part of Vanderbilt Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nikos Diamantis (University of Nottingham)
DTSTART:20201006T160000Z
DTEND:20201006T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/6/">Modular iterated integrals associated with cusp forms.</a
 >\nby Nikos Diamantis (University of Nottingham) as part of Vanderbilt Num
 ber Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeremy Rouse (Wake Forest University)
DTSTART:20201013T160000Z
DTEND:20201013T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/7/">Integers represented by positive-definite quadratic forms
  and Petersson inner products.</a>\nby Jeremy Rouse (Wake Forest Universit
 y) as part of Vanderbilt Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Schneider (University of Georgia)
DTSTART:20201027T160000Z
DTEND:20201027T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/8/">A multiplicative theory of (additive) partitions.</a>\nby
  Robert Schneider (University of Georgia) as part of Vanderbilt Number The
 ory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Madeline Locus Dawsey (University of Texas at Tyler)
DTSTART:20201103T170000Z
DTEND:20201103T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/9/">Modular Forms and Ramsey Theory.</a>\nby Madeline Locus D
 awsey (University of Texas at Tyler) as part of Vanderbilt Number Theory S
 eminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:William Craig (University of Virginia)
DTSTART:20201109T160000Z
DTEND:20201109T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/10/">Variants of Lehmer’s Conjecture.</a>\nby William Craig
  (University of Virginia) as part of Vanderbilt Number Theory Seminar\n\nA
 bstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Osburn (University College Dublin)
DTSTART:20201117T170000Z
DTEND:20201117T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/11/">Generalized Fishburn numbers and torus knots.</a>\nby Ro
 bert Osburn (University College Dublin) as part of Vanderbilt Number Theor
 y Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ankush Goswami (RISC)
DTSTART:20201124T170000Z
DTEND:20201124T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/12/">Arithmeticity and quantum modularity for generalized Kon
 tsevich-Zagier strange series.</a>\nby Ankush Goswami (RISC) as part of Va
 nderbilt Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lola Thompson (Utrecht University)
DTSTART:20201201T170000Z
DTEND:20201201T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/13/">Counting quaternion algebras\, with applications to spec
 tral geometry.</a>\nby Lola Thompson (Utrecht University) as part of Vande
 rbilt Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amanda Folsom (Amherst College)
DTSTART:20201208T170000Z
DTEND:20201208T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/14/">Eisenstein series\, cotangent-zeta sums\, knots\, and qu
 antum modular forms.</a>\nby Amanda Folsom (Amherst College) as part of Va
 nderbilt Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesse Thorner (University of Illinois)
DTSTART:20210203T170000Z
DTEND:20210203T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/15/">An approximate form of Artin’s holomorphy conjecture a
 nd nonvanishing of Artin L-functions.</a>\nby Jesse Thorner (University of
  Illinois) as part of Vanderbilt Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sarah Peluse (Princeton/IAS)
DTSTART:20210210T170000Z
DTEND:20210210T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/16/">Modular zeros in the character table of the symmetric gr
 oup.</a>\nby Sarah Peluse (Princeton/IAS) as part of Vanderbilt Number The
 ory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joshua Males (University of Cologne)
DTSTART:20210217T170000Z
DTEND:20210217T180000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/17
DESCRIPTION:by Joshua Males (University of Cologne) as part of Vanderbilt 
 Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kathrin Bringmann (University of Cologne)
DTSTART:20210224T160000Z
DTEND:20210224T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/18
DESCRIPTION:by Kathrin Bringmann (University of Cologne) as part of Vander
 bilt Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan-Willem Van Ittersum (Utrecht University)
DTSTART:20210317T160000Z
DTEND:20210317T170000Z
DTSTAMP:20260404T095335Z
UID:VandyNumberTheory/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Vandy
 NumberTheory/19/">Partitions and quasimodular forms: variations on the Blo
 ch-Okounkov theorem</a>\nby Jan-Willem Van Ittersum (Utrecht University) a
 s part of Vanderbilt Number Theory Seminar\n\n\nAbstract\nPartitions of in
 tegers and (quasi)modular forms are related in many ways. We discuss a con
 nection made by a certain normalized generating series of functions f on p
 artitions\, called the q-bracket of f. There are many families of function
 s on partitions\, such as (i) the shifted symmetric functions\, (ii) their
  p-adic generalizations\, (iii) the weighted t-hook functions and (iv) sym
 metric functions on partitions\, for which the corresponding q-brackets ar
 e quasimodular forms. We explain how these four examples can be traced bac
 k to the generating series of shifted symmetric functions. The main techni
 cal tool for doing so is the study of the Taylor coefficients of strictly 
 meromorphic quasi-Jacobi forms around rational lattice points.\n
LOCATION:https://stable.researchseminars.org/talk/VandyNumberTheory/19/
END:VEVENT
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