Organizing Committee
Abstract

In the late 1960s, Robert Langlands discovered a unifying principle in number theory providing a vast generalization of class field theory to include nonabelian extensions of number fields. This principle gives rise to a web of conjectures called the Langlands program which continues to guide research in number theory to the present day. For example, an important first instance of the Langlands program is the modularity theorem for elliptic curves over the rational numbers, an essential ingredient in the proof of Fermat's last theorem.

Despite its many successes, the Langlands program remains vague in many of its predictions, due in part to an absence of data to guide a precise formulation away from a few special cases. In this thematic program, we will experiment with and articulate refined conjectures relating arithmetic-geometric objects to automorphic forms, improve the computational infrastructure underpinning the Langlands program, and assemble additional supporting data. Such data has proven valuable for researchers in number theory, and it will continue to be made available at the L-Functions and Modular Forms Database.

During the semester we will focus on three specific aspects of the Langlands program. First, we will look at elliptic curves over number fields and genus 2 curves over the rationals and will consider their relationship to modular forms. Second, we will consider computational aspects of modular forms in higher rank. Specifically, we will examine K3 surfaces and their connections to modular forms on orthogonal groups. Our third topic concerns analytic aspects of L-functions, building upon and complementing the algebraic, arithmetic, and geometric data.

Image for "Computational Aspects of the Langlands Program"
Photo Credit: John Voight

Read about the L-functions and Modular Forms Database (LMFDB) created by researchers from this ICERM program.

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee
  • Dan Abramovich
    Brown University
    Sep 28-Oct 2, 2015; Oct 19-24, 2015; Nov 9-13, 2015
  • Samuele Anni
    University of Warwick
    Sep 9-Dec 4, 2015
  • Sonny Arora
    The Pennsylvania State University
    Sep 28-Oct 2, 2015
  • Jennifer Balakrishnan
    University of Oxford
    Sep 9-Oct 7, 2015
  • Olga Balkanova
    ICERM
    Sep 9-Dec 4, 2015
  • Cristina Ballantine
    College of the Holy Cross
    Sep 9-Dec 4, 2015
  • Siegfred Baluyot
    University of Rochester
    Nov 9-13, 2015
  • Dianbin Bao
    Temple University
    Sep 28-Oct 2, 2015
  • Jennifer Beineke
    Western New England University
    Nov 9-13, 2015
  • Michael Bennett
    University of British Columbia
    Sep 28-Oct 2, 2015
  • Sandro Bettin
    Université de Montréal
    Sep 9-Dec 4, 2015
  • Valentin Blomer
    Universität Göttingen
    Nov 9-13, 2015
  • Jonathan Bober
    Heilbronn Institute
    Sep 9-Dec 4, 2015
  • Andrew Booker
    University of Bristol
    Nov 9-13, 2015
  • Michel Börner
    Ulm University
    Nov 9-13, 2015
  • Irene Bouw
    Universität Ulm
    Sep 9-Dec 4, 2015
  • Simon Brandhorst
    Leibniz University Hannover
    Oct 19-24, 2015
  • Benjamin Breen
    Dartmouth College
    Sep 9-Dec 4, 2015
  • Francesco Broggi
    Warwick University
    Oct 19-24, 2015
  • Reinier Bröker
    Brown University
    Sep 28-Oct 2, 2015
  • Armand Brumer
    Fordham University
    Sep 28-Oct 2, 2015; Oct 19-24, 2015
  • Alina Bucur
    UCSD
    Sep 9-Dec 4, 2015
  • Gregory Call
    Amherst College
    Sep 9-Dec 4, 2015
  • Marta Canadell
    Georgia Institute of Technology
    Sep 9-Dec 4, 2015
  • Marco Caselli
    University of Warwick
    Sep 28-Oct 2, 2015
  • William Chen
    Pennsylvania State University
    Sep 9-Dec 4, 2015
  • Hao Chen
    University of Washington
    Sep 28-Oct 2, 2015
  • Suh Hyun Choi
    KAIST
    Oct 19-24, 2015
  • YoungJu Choie
    POSTECH
    Sep 9-Dec 4, 2015
  • Henri Cohen
    University of Bordeaux
    Sep 9-Dec 4, 2015
  • John Conrey
    American Institute of Mathematics
    Sep 9-Dec 4, 2015
  • John Cremona
    University of Warwick
    Sep 9-Dec 4, 2015
  • John Cullinan
    Bard College
    Sep 28-Oct 2, 2015
  • Clifton Cunningham
    University of Calgary
    Oct 19-24, 2015
  • Slawomir Cynk
    Jagiellonian University
    Oct 19-24, 2015
  • Chantal David
    Concordia University
    Nov 9-13, 2015
  • Giuliana Davidoff
    Mount Holyoke College
    Nov 9-13, 2015
  • Alyson Deines
    Center for Communications Research
    Sep 28-Oct 2, 2015
  • Lassina Dembele
    Warwick University
    Sep 9-Dec 4, 2015
  • Tim Dokchitser
    University of Bristol
    Sep 9-Dec 4, 2015
  • Valerio Dose
    INdAM - Istituto Nazionale di Alta Matematica
    Sep 28-Oct 2, 2015
  • Taylor Dupuy
    The Hebrew University
    Sep 9-Dec 4, 2015
  • Ellen Eischen
    The University of North Carolina at Chapel Hill
    Sep 9-Dec 4, 2015
  • Kirsten Eisentraeger
    Pennsylvania State University
    Sep 28-Oct 2, 2015
  • Ozlem Ejder
    University of Southern California
    Sep 28-Oct 2, 2015
  • Noam Elkies
    Harvard University
    Oct 19-24, 2015; Nov 9-13, 2015
  • Andreas-Stephan Elsenhans
    University of Paderborn
    Sep 9-Dec 4, 2015
  • David Farmer
    AIM
    Sep 9-Dec 4, 2015
  • Luis Finotti
    University Of Tennessee
    Sep 28-Oct 2, 2015
  • Francesc Fité
    Universität Duisburg-Essen
    Sep 28-Oct 2, 2015
  • Sharon Frechette
    College of the Holy Cross
    Sep 9-Dec 4, 2015
  • Amit Ghosh
    Oklahoma State University
    Nov 9-13, 2015
  • Edray Goins
    Purdue University
    Sep 9-Dec 4, 2015
  • Steve Gonek
    University of Rochester
    Nov 9-13, 2015
  • Benedict Gross
    Harvard University
    Sep 9-Dec 4, 2015
  • Lucio Guerberoff
    University College London
    Sep 28-Oct 2, 2015
  • Joao Guerreiro
    Columbia University
    Nov 9-13, 2015
  • Anna Haensch
    Duquesne University
    Nov 9-13, 2015
  • David Harvey
    University of New South Wales
    Sep 9-Dec 4, 2015
  • Brendan Hassett
    ICERM/Brown University
    Sep 28-Oct 2, 2015; Oct 19-24, 2015
  • Ghaith Hiary
    The Ohio State University
    Sep 9-Dec 4, 2015
  • Bingrong Huang
    Columbia University
    Nov 9-13, 2015
  • Sorina Ionica
    University of Bordeaux
    Sep 9-Dec 4, 2015
  • Joerg Jahnel
    University of Siegen
    Sep 9-Dec 4, 2015
  • Christopher Jennings-Shaffer
    Oregon State University
    Oct 19-24, 2015
  • Jennifer Johnson-Leung
    University of Idaho
    Sep 28-Oct 2, 2015
  • John Jones
    Arizona State University
    Sep 9-Dec 4, 2015
  • Matija Kazalicki
    University of Zagreb
    Oct 19-24, 2015
  • Jon Keating
    University of Bristol
    Nov 9-13, 2015
  • Kiran Kedlaya
    University of California, San Diego
    Sep 9-Dec 4, 2015
  • Kamal Khuri-Makdisi
    American University of Beirut
    Sep 9-Dec 4, 2015
  • Pinar Kilicer
    Leiden University
    Sep 28-Oct 2, 2015
  • Seoyoung Kim
    Brown University
    Sep 9-Dec 4, 2015
  • Yeansu Kim
    University of Iowa
    Nov 9-13, 2015
  • Eren Kiral
    Texas A&M University
    Nov 9-13, 2015
  • Remke Kloosterman
    Humboldt Universitaet zu Berlin
    Oct 19-24, 2015
  • Daniel Kohen
    University of Buenos Aires
    Sep 9-Dec 4, 2015
  • Angelos Koutsianas
    Ulm University
    Sep 9-Dec 4, 2015
  • Sally Koutsoliotas
    Bucknell University
    Sep 9-Dec 4, 2015
  • Kenneth Kramer
    CUNY
    Sep 28-Oct 2, 2015
  • Patrick Kühn
    University of Zurich
    Nov 9-13, 2015
  • Abhinav Kumar
    Stony Brook University
    Oct 19-24, 2015
  • Watson Ladd
    UC Berkeley
    Sep 9-Dec 4, 2015
  • Matilde Lalin
    University of Montreal
    Nov 9-13, 2015
  • Kristin Lauter
    Microsoft
    Sep 28-Oct 2, 2015
  • TingFang Lee
    Brown University
    Sep 9-Dec 4, 2015
  • Min Lee
    University of Bristol
    Sep 9-Dec 4, 2015
  • Stefan Lemurell
    University of Gothenburg and Chalmers Technical University
    Sep 9-Dec 4, 2015
  • Wenching Li
    Pennsylvania State University
    Sep 9-Dec 4, 2015
  • Chao Li
    Columbia University
    Oct 19-24, 2015
  • Sheng-Chi Liu
    Washington State University
    Nov 9-13, 2015
  • Luis Lomeli
    Max-Planck Institute for Mathematics
    Nov 9-13, 2015
  • Ling Long
    Lousiana State University
    Sep 9-Dec 4, 2015
  • Elisa Lorenzo Garcia
    Universiteit Leiden
    Sep 28-Oct 2, 2015
  • Kimball Martin
    University of Oklahoma
    Sep 28-Oct 2, 2015
  • Chloe Martindale
    Leiden University
    Sep 28-Oct 2, 2015
  • Edgar Martins Dias Costa
    ICERM/Dartmouth College
    Sep 9-Dec 4, 2015
  • Jolanta Marzec
    University of Bristol
    Sep 9-Dec 4, 2015
  • Nicolas Mascot
    University of Warwick
    Sep 9-Dec 4, 2015
  • Marc Masdeu
    University of Warwick
    Sep 28-Oct 2, 2015
  • Maike Massierer
    University of Lorraine / Inria / CNRS
    Sep 9-Dec 4, 2015
  • Kathrin Maurischat
    Heidelberg University
    Sep 28-Oct 2, 2015
  • Anna Medvedovsky
    ICERM
    Sep 9-Dec 4, 2015
  • Micah Milinovich
    University of Mississippi
    Nov 9-13, 2015
  • Steven Miller
    Williams College
    Nov 9-13, 2015
  • Pascal MOLIN
    Université Paris 7
    Nov 9-13, 2015
  • Michael Mossinghoff
    Davidson College
    Nov 9-13, 2015
  • Hossein Movasati
    IMPA
    Oct 19-24, 2015
  • Rachel Newton
    Institut Des Hautes Études Scientifiques (IHÉS)
    Sep 28-Oct 2, 2015
  • Nathan Ng
    University of Lethbridge
    Nov 9-13, 2015
  • Sami Omar
    American University
    Nov 9-13, 2015
  • Ariel Pacetti
    University of Buenos Aires
    Sep 28-Oct 2, 2015
  • Aurel Page
    University of Warwick
    Sep 9-Dec 4, 2015
  • Mihran Papikian
    Pennsylvania State University
    Sep 28-Oct 2, 2015
  • Ameya Pitale
    University of Oklahoma
    Sep 28-Oct 2, 2015
  • David Platt
    University of Bristol
    Nov 9-13, 2015
  • Bjorn Poonen
    MIT
    Oct 19-24, 2015; Nov 9-13, 2015
  • Cris Poor
    Fordham University
    Sep 9-Dec 4, 2015
  • Maksym Radziwill
    Rutgers University
    Nov 9-13, 2015
  • Andre Reznikov
    Bar-Ilan University
    Nov 9-13, 2015
  • Damien Robert
    INRIA
    Sep 28-Oct 2, 2015
  • Brooks Roberts
    University of Idaho
    Sep 28-Oct 2, 2015
  • David Roberts
    University of Minnesota, Morris
    Sep 9-Dec 4, 2015
  • Fernando Rodriguez-Villegas
    University of Texas, Austin
    Oct 19-24, 2015
  • Michael Rubinstein
    University of Waterloo
    Sep 9-Dec 4, 2015
  • Zeev Rudnick
    Tel Aviv University
    Nov 9-13, 2015
  • Nathan Ryan
    Bucknell University
    Sep 28-Oct 2, 2015; Nov 9-13, 2015
  • Adriana Salerno
    Bates College
    Oct 19-24, 2015
  • Michael Schein
    Bar-Ilan University
    Nov 9-13, 2015
  • Samuel Schiavone
    Dartmouth College
    Sep 9-Dec 4, 2015
  • Harald Schilly
    University of Vienna
    Sep 9-Dec 4, 2015
  • Ralf Schmidt
    University of Oklahoma
    Sep 9-Dec 4, 2015
  • Matthias Schuett
    Gottfried Wilhelm Leibniz Universität Hannover
    Oct 11-31, 2015
  • Freydoon Shahidi
    Purdue University
    Oct 18-Nov 14, 2015
  • Yiwei She
    Columbia University
    Oct 19-24, 2015
  • Alok Shukla
    University of Oklahoma
    Sep 9-Dec 4, 2015
  • Jerry Shurman
    Reed College
    Sep 9-Dec 4, 2015
  • Jeroen Sijsling
    Dartmouth College
    Sep 28-Oct 2, 2015
  • Joseph Silverman
    Brown University
    Sep 9-Dec 4, 2015
  • Nils Skoruppa
    Universität Siegen
    Sep 28-Oct 2, 2015
  • Nina Snaith
    University of Bristol
    Sep 20-Oct 20, 2015
  • Eduardo Soto Ballesteros
    University of Barcelona
    Sep 28-Oct 2, 2015
  • Kannan Soundararajan
    Stanford University
    Nov 9-13, 2015
  • Marco Streng
    Universiteit Leiden
    Sep 28-Oct 2, 2015
  • Fredrik Stromberg
    University of Nottingham
    Nov 9-13, 2015
  • Peng Sun
    Central University of Finance and Economics
    Sep 28-Oct 2, 2015
  • Andrew Sutherland
    Massachusetts Institute of Technology
    Sep 9-Dec 4, 2015
  • Holly Swisher
    Oregon State University
    Sep 9-Dec 4, 2015
  • Lenny Taelman
    University of Amsterdam
    Oct 19-24, 2015
  • Sho Tanimoto
    University of Copenhagen
    Oct 19-24, 2015
  • Frank Thorne
    University of South Carolina
    Nov 9-13, 2015
  • Long Tran
    University of Oklahoma
    Sep 9-Dec 4, 2015
  • Nicholas Triantafillou
    MIT
    Sep 28-Oct 2, 2015; Oct 19-24, 2015
  • Yuri Tschinkel
    New York University
    Oct 19-24, 2015
  • Fang Ting Tu
    National Chiao Tung University
    Sep 9-Dec 4, 2015
  • Caroline Turnage-Butterbaugh
    Duke University
    Nov 9-13, 2015
  • Douglas Ulmer
    Georgia Institute of Technology
    Oct 19-24, 2015
  • Anthony Varilly-Alvarado
    Rice University
    Oct 19-24, 2015
  • Marie-France Vigneras
    Institut de Mathématiques de Jussieu
    Sep 9-Dec 4, 2015
  • Christelle Vincent
    University of Vermont
    Sep 9-Dec 4, 2015
  • Bianca Viray
    University of Washington
    Oct 19-24, 2015
  • John Voight
    Dartmouth College
    Sep 9-Dec 4, 2015
  • Siddhesh Wagh
    University of Oklahoma
    Sep 28-Oct 2, 2015
  • James Weigandt
    Purdue University
    Sep 9-Dec 4, 2015
  • Stefan Wewers
    Universität Ulm
    Sep 9-Dec 4, 2015
  • Ursula Whitcher
    University of Wisconsin-Eau Claire
    Oct 19-24, 2015
  • Tian An Wong
    City University of New York (CUNY) Graduate Center
    Nov 9-13, 2015
  • Yifan Yang
    National Chiao Tung University
    Sep 9-Dec 4, 2015
  • Tonghai Yang
    University of Wisconsin
    Sep 28-Oct 2, 2015
  • Matthew Young
    Texas A&M
    Nov 9-13, 2015
  • David Yuen
    Lake Forest College
    Sep 9-Dec 4, 2015
  • Noriko Yui
    Queen's University
    Oct 19-24, 2015
  • Fan Zhou
    Ohio State University
    Nov 9-13, 2015
  • David Zywina
    Cornell University
    Sep 28-Oct 2, 2015

Visit dates listed on the participant list may be tentative and subject to change without notice.

Semester Schedule

Wednesday, September 9, 2015
TimeEventLocationMaterials
9:00 - 1:30pm EDTCheck-In121 S Main St, Providence, RI 02903, USA 
1:45 - 2:00pm EDTOpening Welcome - Jill Pipher, ICERM Director11th Floor Lecture Hall 
2:00 - 3:30pm EDTDiscussion: semester topics and goals - Moderated by Alina Bucur, UCSD11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:30pm EDTDiscussion: set schedule for the semester11th Floor Lecture Hall 
4:30 - 5:30pm EDTOrganizational meeting for seminars and minicourses11th Floor Lecture Hall 
5:30 - 7:00pm EDTWelcome Reception11th Floor Collaborative Space 
Thursday, September 10, 2015
TimeEventLocationMaterials
9:30 - 10:00am EDTOverview of the Langlands program - Kiran S. Kedlaya, UCSD11th Floor Lecture Hall 
10:00 - 10:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:15 - 11:15am EDTIntroduction to the LMFDB - David Farmer, AIM11th Floor Lecture Hall 
11:30 - 11:35am EDT5-minute Graduate student introductions - Benjamin Breen, Dartmouth College11th Floor Lecture Hall 
11:35 - 11:40am EDT5-minute Graduate student introductions - William Chen, Penn State11th Floor Lecture Hall 
11:40 - 11:45am EDT5-minute Graduate student introductions - Seoyoung Kim, Brown University11th Floor Lecture Hall 
11:45 - 11:50am EDT5-minute Graduate student introductions - Watson Ladd, UC Berkeley11th Floor Lecture Hall 
11:50 - 11:55am EDT5-minute Graduate student introductions - David Lowry-Duda, Brown University11th Floor Lecture Hall 
12:00 - 2:00pm EDTLunch and Free Time  
2:00 - 3:00pm EDTIntroduction to automorphic forms - Ralf Schmidt, University of Oklahoma11th Floor Lecture Hall 
3:00 - 3:05pm EDT5-minute Graduate student introductions - Jolanta Marzec, University of Bristol11th Floor Lecture Hall 
3:05 - 3:10pm EDT5-minute Graduate student introductions - Samuel Schiavone, Dartmouth College11th Floor Lecture Hall 
3:10 - 3:15pm EDT5-minute Graduate student introductions - Alok Shukla, University of Oklahoma11th Floor Lecture Hall 
3:15 - 3:20pm EDT5-minute Graduate student introductions - Long Tran, University of Oklahoma11th Floor Lecture Hall 
3:20 - 3:25pm EDT5-minute Graduate student introductions - Alexander Walker, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTWhat are motives - David Roberts, University of Minnesota - Morris11th Floor Lecture Hall 
Friday, September 11, 2015
TimeEventLocationMaterials
9:30 - 10:30am EDTComputational problems: the interesting vs the possible - Andrew Sutherland, MIT11th Floor Lecture Hall 
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00pm EDTIntroduction to computing complete number theoretic data: number fields - John Jones, Arizona State University11th Floor Lecture Hall 
12:00 - 2:00pm EDTLunch and Free Time  
2:00 - 2:10pm EDT10-minute Postdoc introduction - Olga Balkanova, ICERM Semester Postdoc11th Floor Lecture Hall 
2:10 - 2:20pm EDT10-minute Postdoc introduction - Sandro Bettin, ICERM Semester Postdoc11th Floor Lecture Hall 
2:20 - 2:30pm EDT10-minute Postdoc introduction - Edgar Costa, ICERM Semester Postdoc11th Floor Lecture Hall 
2:30 - 2:40pm EDT10-minute Postdoc introduction - TingFang Lee, Brown University11th Floor Lecture Hall 
2:40 - 2:50pm EDT10 Minute Postdoc Introductions - Anna Medvedovsky, ICERM Institute Postdoc11th Floor Lecture Hall 
2:50 - 3:00pm EDT10-minute Postdoc introduction - James Weingandt, ICERM Institute Postdoc11th Floor Lecture Hall 
3:00 - 3:10pm EDT10-minute Postdoc introduction - Marta Canadell, ICERM Institute Postdoc11th Floor Lecture Hall 
3:20 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 5:00pm EDTL-functions: the glue that holds the world together - Brian Conrey, AIM11th Floor Lecture Hall 
Monday, September 14, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
11:00 - 11:30am EDTIntroductions and Announcements11th Floor Lecture Hall 
2:00 - 3:30pm EDTStable reduction and computation of bad reduction Euler factors - part I - Irene Bouw, University of Ulm11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Tuesday, September 15, 2015
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break  
Wednesday, September 16, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
12:00 - 5:00pm EDTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break  
Thursday, September 17, 2015
TimeEventLocationMaterials
10:00 - 11:30am EDTHypergeomteric Motives, I - David Roberts, University of Minnesota - Morris11th Floor Lecture Hall 
3:00 - 3:30pm EDTCoffee/Tea Break  
4:00 - 5:00pm EDTResearch Seminar- Counting points on hypersurfaces - David Harvey, University of New South Wales11th Floor Lecture Hall 
Friday, September 18, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
11:00 - 12:30pm EDTParamodular conjecture for genus 2 curves - Ralf Schmidt, University of Oklahoma11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Monday, September 21, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
12:00 - 1:00pm EDTGraduate Student/Postodoc Peer-to-Peer Seminar - Feel free to bring your lunch.10th Floor Classroom 
1:00 - 2:30pm EDTStable reduction and computation of bad reduction Euler factors - part II - Irene Bouw, University of Ulm11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Tuesday, September 22, 2015
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Job applications in academia11th Floor Lecture Hall
10:30 - 11:00am EDTIT Tutorial - Brian Lavall, ICERM Technical Support Coordinator11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Wednesday, September 23, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
12:00 - 5:00pm EDTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break  
Thursday, September 24, 2015
TimeEventLocationMaterials
10:00 - 11:30am EDTL-functions - automorphic vs analytic points of view - Ralf Schmidt, University of Oklahoma and David Farmer, AIM11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
4:00 - 5:00pm EDTResearch Seminar - Abelian Varieties, Canonical Heights, and Counting Rational Points - Joe Silverman, Brown University11th Floor Lecture Hall 
Friday, September 25, 2015
TimeEventLocationMaterials
10:00 - 11:30am EDTProblem Session11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Monday, September 28, 2015
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration121 S.Main Street, Providence, RI (11th Floor) 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am EDTShimura Degrees, New Modular Degrees, and Congruence Primes - Alyson Deines, CCR - La Jolla11th Floor Lecture Hall
10:00 - 10:45am EDTElliptic Curves with Good Reduction Outside S - Angelos Koutsianas, University of Warwick11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break - 11th Floor Collaborative Space  
11:15 - 12:00pm EDTObtaining modular units via a recurrence relation - Marco Streng, University of Leiden11th Floor Lecture Hall
12:00 - 2:00pm EDTBreak for Lunch  
2:00 - 2:45pm EDTShadow lines in the arithmetic of elliptic curves - Rachel Newton, Institut des Hautes Études Scientifiques (IHÉS)11th Floor Lecture Hall
3:00 - 3:45pm EDTVariations on quadratic Chabauty - Jennifer Balakrishnan, Oxford University11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break  
4:15 - 5:00pm EDTNon-archimedean construction of elliptic curves and abelian surfaces - Marc Masdeu, University of Warwick11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, September 29, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTConstructing genus 2 curves over finite fields - Kirsten Eisentraeger, Pennsylvania State11th Floor Lecture Hall
10:00 - 10:45am EDTGenus two CM curves and their invariants - Tonghai Yang, University of Wisconsin11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm EDTIsogenies, polarisations and real multiplication - Damien Robert, Ecole Normale Superieure11th Floor Lecture Hall
12:00 - 12:10pm EDTGroup Photo11th Floor Lecture Hall 
12:10 - 2:00pm EDTBreak for Lunch  
2:00 - 2:45pm EDTComputing Fourier coefficients of theta series - Reinier Broker, Brown University11th Floor Lecture Hall
3:00 - 3:45pm EDTGenus 3 curves and the inverse Galois problem - Samuele Anni, University of Warwick11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break  
4:15 - 5:00pm EDTExplicit methods in the theory of Jacobi forms of lattice index and over number fields - Nils Skoruppa, Universitat Siegen11th Floor Lecture Hall
Wednesday, September 30, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTOn the paramodular conjecture - Armand Brumer, Fordham University11th Floor Lecture Hall
10:00 - 10:45am EDTA survey on the modularity of abelian surfaces - Lassina Dembele, University of Warwick11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break  
11:15 - 12:00pm EDTOn the paramodular conjecture - Ariel Pacetti, University of Buenos Aires11th Floor Lecture Hall
12:00 - 1:45pm EDTBreak for Lunch  
1:45 - 2:30pm EDTTables of paramodular eigenforms - Cris Poor, Fordham University11th Floor Lecture Hall
2:45 - 3:30pm EDTModularity of the abelian surface of conductor 277 - David Yuen, Lake Forest College11th Floor Lecture Hall
3:30 - 5:00pm EDTCoffee/Tea Break and Poster Session11th Floor Collaborative Space 
Thursday, October 1, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTExperimental results for Siegel modular forms - Nathan Ryan, Bucknell University11th Floor Lecture Hall
10:00 - 10:45am EDTQuadratic twists of Siegel modular forms of paramodular level- motivation and local aspects - Brooks Roberts, University of Idaho11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 12:00pm EDTQuadratic twists of Siegel modular forms of paramodular level- Hecke operators and Fourier coefficients - Jennifer Johnson-Leung, University of Idaho11th Floor Lecture Hall
12:00 - 2:00pm EDTBreak for Lunch  
2:00 - 2:45pm EDTConstructing genus 3 hyperelliptic Jacobians - a mathematician's point of view - Christelle Vincent, Stanford University11th Floor Lecture Hall
3:00 - 3:45pm EDTConstructing genus 3 hyperelliptic Jacobians with CM - a cryptographer's point of view - Sorina Ionica, Ecole Normale Superieure11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break  
4:15 - 5:00pm EDTBad reduction of genus 3 curves with complex multiplication - Elisa Lorenzo Garcia, Universiteit Leiden11th Floor Lecture Hall
Friday, October 2, 2015
TimeEventLocationMaterials
10:00 - 10:45am EDTComputing the images of Galois representations - David Zywina, Cornell University11th Floor Lecture Hall
10:45 - 11:15am EDTCoffee/Tea Break  
11:15 - 12:00pm EDTComputing L-series of hyperelliptic curves in moderate genus - David Harvey, University of New South Wales11th Floor Lecture Hall
12:15 - 1:00pm EDTTorsion subgroups of rational elliptic curves over the compositum of all cubic fields - Andrew Sutherland, MIT11th Floor Lecture Hall
1:00 - 3:15pm EDTBreak for Lunch  
3:15 - 3:45pm EDTCoffee/Tea Break  
Monday, October 5, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
11:00 - 11:30am EDTIntroductions and Announcements11th Floor Lecture Hall 
12:00 - 1:00pm EDTGraduate Student/Postodoc Peer-to-Peer Seminar - Feel free to bring your lunch.10th Floor Classroom 
2:00 - 3:30pm EDTStable reduction and computation of bad reduction Euler factors - part III - Stefan Wewers, University of Ulm11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Tuesday, October 6, 2015
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Ethics in research 1 - Mandatory for Grads and Postdocs who receive ICERM funding11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break  
Wednesday, October 7, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
12:00 - 5:00pm EDTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break  
Thursday, October 8, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTResearch Seminar - Hypergeometric functions over finite fields, I - Holly Swisher, Oregon State 11th Floor Lecture Hall 
11:10 - 12:10pm EDTProblem Session11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
4:00 - 5:30pm EDTK3 Surfaces - Noam Elkies, Harvard University11th Floor Lecture Hall 
Friday, October 9, 2015
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break10th Floor Collaborative Space 
Monday, October 12, 2015
TimeEventLocationMaterials
8:30 - 5:00pm EDTICERM Closed  
3:30 - 4:00pm EDTCoffee/Tea Break  
Tuesday, October 13, 2015
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Ethics in research II - Mandatory for Grads and Postdocs receiving ICERM funding11th Floor Lecture Hall 
3:30 - 4:00pm EDTAda Lovelace Coffee/Tea Break  
Wednesday, October 14, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
11:00 - 11:30am EDTIntroductions and Announcements11th Floor Lecture Hall 
12:00 - 5:00pm EDTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break  
Thursday, October 15, 2015
TimeEventLocationMaterials
10:00 - 11:30am EDTK3 Surfaces - Brendan Hassett, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
4:00 - 5:00pm EDTHypergeometric functions over finite fields, II - Ling Long, Louisiana State University11th Floor Lecture Hall 
Friday, October 16, 2015
TimeEventLocationMaterials
8:30 - 12:30pm EDTLecture Hall Reserved for Maintenance  
1:00 - 2:00pm EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
2:00 - 3:30pm EDTProblem Session11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Monday, October 19, 2015
TimeEventLocationMaterials
8:30 - 9:15am EDTRegistration121 S.Main Street, Providence, RI (11th Floor Collaborative Space) 
9:15 - 9:25am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:30 - 10:15am EDTModularity of K3 surfaces and Calabi-Yau threefolds - Matthias Schütt, Gottfried Wilhelm Leibniz Universität Hannover11th Floor Lecture Hall
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 11:45am EDTFrom K3 surfaces to noncongruence modular forms - Wenching Li, Pennsylvania State University11th Floor Lecture Hall
12:00 - 2:00pm EDTBreak for Lunch  
2:00 - 2:45pm EDTCalabi-Yau modular forms - Hossein Movasati, IMPA11th Floor Lecture Hall
3:00 - 3:30pm EDTCoffee/Tea Break  
3:30 - 4:15pm EDTBrauer groups of K3 surfaces and moduli of special cubic fourfolds - Anthony Varilly-Alvarado, Rice University11th Floor Lecture Hall
4:30 - 5:15pm EDTComplete hypergeometric L-functions - David Roberts, University of Minnesota, Morris11th Floor Lecture Hall
5:30 - 7:00pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, October 20, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTRefining the Langlands correspondence for symplectic motives - Benedict Gross, Harvard University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTCounting points on K3 surfaces- some complexity guesstimates - David Harvey, University of New South Wales11th Floor Lecture Hall
11:30 - 12:15pm EDTmore elementary evaluations of some K3 point-counts and periods - Noam Elkies, Harvard University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch  
2:30 - 3:15pm EDTEffective computations of Hasse--Weil zeta functions - Edgar Costa, ICERM and Dartmouth College11th Floor Lecture Hall
3:30 - 4:15pm EDTPoint counting on K3 surfaces and applications - Andreas-Stephan Elsenhans, Universität Paderborn11th Floor Lecture Hall
4:30 - 6:00pm EDTPoster Session/Coffee Break - 11th Floor Collaborative Space 
Wednesday, October 21, 2015
TimeEventLocationMaterials
9:00 - 10:00am EDTOne parameter families of Calabi--Yau threefolds with trivial monodromy - Slawomir Cynk, Jagiellonian University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTK3 surfaces with real multiplication - Joerg Jahnel, University of Siegen11th Floor Lecture Hall
11:30 - 12:15pm EDTComplex multiplication and K3 surfaces over finite fields - Lenny Taelman, University of Amsterdam11th Floor Lecture Hall
12:30 - 12:30pm EDTGroup Photo in Lecture Hall11th Floor Lecture Hall 
12:30 - 2:30pm EDTBreak for Lunch  
2:30 - 5:00pm EDTDiscussion/ Research/ Free Time  
3:30 - 4:00pm EDTCoffee/Tea Break  
Thursday, October 22, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTMirror symmetry and K3 surface zeta functions. - Ursula Whitcher, University of Wisconsin- Eau Claire11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTArithmetic Mirror Symmetry of K3 surfaces and Hypergeometric Functions - Adriana Salerno, Bates College11th Floor Lecture Hall
11:30 - 12:15pm EDTCalabi–Yau threefolds of Borcea–Voisin type and Arithmetic Mirror Symmetry - Noriko Yui, Queen's University11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch  
2:30 - 3:15pm EDTHigher rank theta lifts and applications to modularity - Lassina Dembele, University of Warwick11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break  
4:00 - 4:45pm EDTModuli spaces of genus 2 curves with split Jacobians through K3 surfaces - Abhinav Kumar, Stony Brook University11th Floor Lecture Hall
Friday, October 23, 2015
TimeEventLocationMaterials
9:00 - 9:45am EDTTesting automorphicity of lifts of Hilbert modular forms - Clifton Cunningham, University of Calgary11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:30am EDTMordell-Weil group of isotrivial families of curves - Remke Kloosterman, Humboldt University of Berlin 
11:30 - 12:15pm EDTSato-Tate groups of higher weight motives - Kiran Kedlaya, UCSD11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break  
Monday, October 26, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
11:00 - 12:00pm EDTIntroductions and Announcements11th Floor Lecture Hall 
12:00 - 1:00pm EDTGraduate Student and Postdoc Seminar10th Floor Classroom 
2:00 - 3:30pm EDTFunctoriality - Freydoon Shahidi, Purdue University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Tuesday, October 27, 2015
TimeEventLocationMaterials
9:00 - 10:00am EDTProfessional Development - Hiring Process11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break  
Wednesday, October 28, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
12:00 - 5:00pm EDTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break  
Thursday, October 29, 2015
TimeEventLocationMaterials
9:30 - 11:00am EDTL-functions and Random Matrix Theory - Michael Rubinstein, Waterloo11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
4:00 - 5:00pm EDTResearch Seminar - Langlands L-functions and counting geodesic cycles - Winnie Li, Penn State11th Floor Lecture Hall 
Friday, October 30, 2015
TimeEventLocationMaterials
11:00 - 12:30pm EDTProblem Session - lab meeting11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break  
Monday, November 2, 2015
TimeEventLocationMaterials
11:00 - 11:30am ESTIntroductions and Announcements11th Floor Lecture Hall 
12:00 - 1:00pm ESTGraduate Student and Postdoc Seminar10th Floor Classroom 
1:00 - 1:30pm ESTGraduate Student and Postdoc Group Photo10th Floor Classroom 
2:00 - 3:30pm ESTMod ell congruences and p-adic ramification, in general and for HGMs - David Roberts, University of Minnesota, Morris11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
Tuesday, November 3, 2015
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Papers and Journals11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break  
Wednesday, November 4, 2015
TimeEventLocationMaterials
10:00 - 11:00am ESTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
11:00 - 11:10am ESTSemester Program Group Photo11th Floor Lecture Hall 
12:00 - 5:00pm ESTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee/Tea Break  
Thursday, November 5, 2015
TimeEventLocationMaterials
10:00 - 11:30am ESTComputing L-functions in PARI - Henri Cohen, University of Bordeaux11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
4:00 - 5:00pm ESTResearch Seminar - Marie-France Vigneras, Institut de Mathématiques de Jussieu11th Floor Lecture Hall 
Friday, November 6, 2015
TimeEventLocationMaterials
10:00 - 11:00am ESTCourse on quaternion algebras - John Voight, Dartmouth College11th Floor Lecture Hall 
11:00 - 12:30pm ESTProblem Session - lab meeting11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
Monday, November 9, 2015
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration121 S.Main Street, Providence, RI (11th Floor Collaborative Space) 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 10:00am ESTEquidistribution of Eisenstein series - Matthew Young, Texas A&M University11th Floor Lecture Hall
10:10 - 11:10am ESTThe Structure of L-functions - David Farmer, AIM11th Floor Lecture Hall
11:10 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:30pm ESTThe Mahler measure of elliptic curves - Matilde Lalin, Université de Montréal11th Floor Lecture Hall
12:30 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTOmega results for the average value of the Mobius function - Sandro Bettin, ICERM Semester Postdoc11th Floor Lecture Hall
2:15 - 2:30pm ESTOne-level density in one-parameter families of elliptic curves with non-zero average root number - Chantal David, Concordia University11th Floor Lecture Hall
2:30 - 2:45pm ESTL functions in Pari-GP - Pascal Molin, Université Paris Diderot11th Floor Lecture Hall
2:45 - 3:00pm ESTL-functions of degree 4 and weight 1 - Sally Koutsoliotas, Bucknell University11th Floor Lecture Hall
3:00 - 3:30pm ESTCoffee/Tea Break  
3:30 - 5:00pm ESTDiscussion/Work Time11th Floor 
5:00 - 6:30pm ESTWelcome Reception11th Floor Collabortive Space 
Tuesday, November 10, 2015
TimeEventLocationMaterials
9:30 - 10:30am ESTSimple zeros of degree 2 L-functions - Andrew Booker, University of Bristol11th Floor Lecture Hall
10:30 - 11:00am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00pm ESTVariance of sums of divisor functions in short intervals - Jon Keating, University of Bristol11th Floor Lecture Hall
12:00 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTLower bounds for explicit formulas - Tian An Wong, CUNY11th Floor Lecture Hall
2:15 - 2:30pm ESTIs it possible to compute values of a primitive L-function of degree 100? - Brian Conrey, AIM11th Floor Lecture Hall 
2:30 - 2:45pm ESTBiases in Moments of Satake Parameters and in Zeros near the Central Point in Families of L-Functions - Steven Miller, Williams College11th Floor Lecture Hall
2:45 - 3:00pm ESTApproximate functional equation and representation theory - Andre Reznikov, Bar-Ilan University11th Floor Lecture Hall
3:00 - 3:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm ESTDiscussion/Work Time11th Floor 
Wednesday, November 11, 2015
TimeEventLocationMaterials
9:00 - 10:00am ESTVariance of divisor functions in arithmetic progressions. - Kannan Soundararajan, Stanford University11th Floor Lecture Hall
10:10 - 11:10am ESTSome challenges for computing automorphic forms and their L-functions. - Peter Sarnak, Princeton University11th Floor Lecture Hall 
11:10 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:30pm ESTComputing L-functions - Michael Rubinstein, University of Waterloo11th Floor Lecture Hall 
12:30 - 12:40pm ESTGroup Photo 11th Floor Lecture Hall 
12:40 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTOpen computational problems for Dirichlet character sums - Ghaith Hiary, Ohio State University11th Floor Lecture Hall
2:15 - 2:30pm ESTInvestigating the vertical distribution of zeros of L-functions - Caroline Turnage-Butterbaugh, Duke University11th Floor Lecture Hall
2:30 - 2:45pm ESTMore computations of the Riemann zeta function - Jonathan Bober, University of Bristol11th Floor Lecture Hall
2:45 - 3:00pm ESTFirst moments of L-functions - Maksym Radziwill, Rutgers University11th Floor Lecture Hall
3:15 - 5:00pm ESTPoster Session and Coffee Break11th Floor Collaborative Space 
Thursday, November 12, 2015
TimeEventLocationMaterials
9:30 - 10:30am ESTAutomorphic Forms on GL(n) - Valentin Blomer, Universität Göttingen11th Floor Lecture Hall
10:30 - 11:00am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00pm ESTUsing Katsurada's determination of the Eisenstein series to compute Siegel eigenforms in degree three. - Cris Poor, Fordham University and David Yuen, Lake Forest College11th Floor Lecture Hall
12:00 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTUpdate on curves of genus 3 with many rational points - Noam Elkies, Harvard University11th Floor Lecture Hall
2:15 - 2:30pm ESTGL_3 Maass forms and the Kuznetsov trace formula - Min Lee, University of Bristol11th Floor Lecture Hall
2:30 - 2:45pm ESTAnalytic Questions Concerning Shintani Zeta Functions - Frank Thorne, University of South Carolina11th Floor Lecture Hall
2:45 - 3:00pm ESTAdditive Divisor Sums- bounds and conjectures. - Nathan Ng, University of Lethbridge11th Floor Lecture Hall
3:00 - 3:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm ESTDiscussion/Work Time  
6:00 - 7:30pm ESTFrom Flapping Birds to Space Telescopes: The Mathematics of Origami - Robert J. LangSalomon Center for Teaching, Providence, RI 02912, United States 
Friday, November 13, 2015
TimeEventLocationMaterials
9:30 - 10:30am ESTComputing central values of twisted L-functions of higher degree - Nathan Ryan, Bucknell University11th Floor Lecture Hall
10:30 - 11:00am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00pm ESTNon-vanishing of automorphic $L$-functions of prime power level - Olga Balkanova, ICERM Semester Postdoc11th Floor Lecture Hall
12:00 - 2:00pm ESTBreak for Lunch / Free Time  
2:00 - 5:00pm ESTDiscussion / Work Time  
3:30 - 4:00pm ESTCoffee/Tea Break  
Monday, November 16, 2015
TimeEventLocationMaterials
11:00 - 11:30am ESTIntroductions and Announcements11th Floor Lecture Hall 
12:00 - 1:00pm ESTGraduate Student and Postdoc Seminar10th Floor Classroom 
2:00 - 3:30pm ESTChallenges in large-scale computation - Panel Discussion11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
Tuesday, November 17, 2015
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break  
Wednesday, November 18, 2015
TimeEventLocationMaterials
12:00 - 5:00pm ESTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee/Tea Break  
Thursday, November 19, 2015
TimeEventLocationMaterials
10:00 - 11:30am ESTHypergeometric motives, III - David Roberts, University of Minnesota, Morris11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
4:00 - 5:00pm ESTResearch Seminar - John Cremona, University of Warwick11th Floor Lecture Hall 
Friday, November 20, 2015
TimeEventLocationMaterials
11:00 - 12:30pm ESTProblem Session - lab meeting11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
Monday, November 23, 2015
TimeEventLocationMaterials
11:00 - 11:30am ESTIntroductions and Announcements11th Floor Lecture Hall 
12:00 - 1:00pm ESTGraduate Student/Postdoc Seminar10th Floor Classroom 
3:30 - 4:00pm ESTCoffee/Tea Break  
Tuesday, November 24, 2015
TimeEventLocationMaterials
9:00 - 10:00am ESTProfessional Development - Grant Proposals11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break  
Wednesday, November 25, 2015
TimeEventLocationMaterials
12:00 - 5:00pm ESTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee/Tea Break  
Thursday, November 26, 2015
TimeEventLocationMaterials
8:30 - 5:00pm ESTICERM Closed  
Friday, November 27, 2015
TimeEventLocationMaterials
8:30 - 5:00pm ESTICERM Closed  
Monday, November 30, 2015
TimeEventLocationMaterials
11:00 - 11:30am ESTIntroductions and Announcements11th Floor Lecture Hall 
2:00 - 3:30pm ESTSato-Tate groups - Kiran Kedlaya and Andrew Sutherland11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
Tuesday, December 1, 2015
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break  
Wednesday, December 2, 2015
TimeEventLocationMaterials
12:00 - 5:00pm ESTInformal Discussion - Work on LMFDB11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee/Tea Break  
Thursday, December 3, 2015
TimeEventLocationMaterials
3:00 - 5:00pm ESTProblem Session - lab meeting11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break  
Friday, December 4, 2015
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break  

Associated Semester Workshops

Computational Aspects of L-functions
Image for "Computational Aspects of L-functions"

Publications

  • Bogdan Adrian Dina, Sorina Ionica, Genus 3 hyperelliptic curves with CM via Shimura reciprocity, Open Book Series 4 (2020) no. 1, 161--178.
  • Angelos Koutsianas, Applications of S-unit Equations to the Arithmetic of Elliptic Curves, Ph.D. thesis, University of Warwick, 2016.
  • Renaud Coulangeon, Benedict H Gross, Gabriele Nebe, Lattices and Applications in Number Theory, Oberwolfach Reports 13 (2016) no. 1, 87--154.
  • John Voight, Quaternion algebras, Springer Nature, 2021.
  • Kamal Khuri-Makdisi, Fake proofs for identities involving products of Eisenstein series, arXiv 1612.08434 (2016).
  • T. Dupuy, Anton Hilado, The Statement of Mochizuki's Corollary 3.12, Initial Theta Data, and the First Two Indeterminacies, arXiv 2004.13228 (2020).
  • David W. Farmer, Sally Koutsoliotas, S. Lemurell, Varieties via their L-functions, Journal of Number Theory (2019).
  • Alina Bucur, Edgar Costa, Chantal David, Jo{\~a}o Guerreiro, David Lowry-Duda, Traces, high powers and one level density for families of curves over finite fields, Mathematical Proceedings of the Cambridge Philosophical Society 165 (2017), 225 - 248.
  • Florian Bouyer, Edgar Costa, Dino Festi, C. Nicholls, Mckenzie West, On the arithmetic of a family of degree - two K3 surfaces, Mathematical Proceedings of the Cambridge Philosophical Society 166 (2018), 523 - 542.
  • Edgar Costa, Nicolas Mascot, Jeroen Sijsling, John Voight, Rigorous computation of the endomorphism ring of a Jacobian, Mathematics of Computation 88 (2018) no. 317, 1303–1339.
  • Samuele Anni, Pedro Lemos, Samir Siksek, Residual representations of semistable principally polarized abelian varieties, Research in Number Theory 2 (2016) no. 1.
  • Yifan Yang, Ramanujan-type identities for Shimura curves, Israel Journal of Mathematics 214 (2013), 699-731.
  • Trajan Hammonds, Seoyoung Kim, Benjamin Logsdon, {\'A}lvaro Lozano-Robledo, Steven J. Miller, Rank and bias in families of hyperelliptic curves via Nagao's conjecture, arXiv 1906.09407 (2019).
  • Irene I. Bouw, Nirvana Coppola, Pinar Kiliccer, Sabrina Kunzweiler, Elisa Lorenzo Garc'ia, Anna Somoza, Reduction type of genus-3 curves in a special stratum of their moduli space., arXiv 2003.07633 (2020).
  • John Cremona, Aurel Page, Andrew V. Sutherland, Sorting and labelling integral ideals in a number field, arXiv 2005.09491 (2020).
  • Amy M. Mason, Nina C. Snaith, Symplectic \$n\$-level densities with restricted support, arXiv 1603.05539 (2016).
  • Seoyoung Kim, The Sato-Tate conjecture and Nagao's conjecture, arXiv 1712.02775 (2017).
  • Florian Bouyer, Edgar Costa, Dino Festi, C. Nicholls, Mckenzie West, On the arithmetic of a family of degree - two K3 surfaces, Mathematical Proceedings of the Cambridge Philosophical Society 166 (2018), 523 - 542.
  • Amanda Folsom, Sharon Anne Garthwaite, Soon-Yi Kang, Holly Swisher, Stephanie Treneer, Quantum mock modular forms arising from eta–theta functions, Research in Number Theory 2 (2016), 1-41.
  • William Chen, Moduli interpretations for noncongruence modular curves, Mathematische Annalen 371 (2015), 41-126.
  • Henri Cohen, Fredrik Strömberg, Modular Forms: A Classical Approach, 2017.
  • Samuele Anni, Samir Siksek, Modular elliptic curves over real abelian fields and the generalized Fermat equation x2ℓ+ y2m= zp, Algebra & Number Theory 10 (2016), 1147-1172.
  • Kiran Kedlaya, Anna Medvedovsky, Mod-2 dihedral Galois representations of prime conductor, The Open Book Series 2 (2019) no. 1, 325–342.
  • Sorina Ionica, Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Adelina Mânzăţeanu, Maike Massierer, Christelle Vincent, Modular invariants for genus 3 hyperelliptic curves, Research in Number Theory 5 (2019) no. 1.
  • Edray H. Goins, Pamela E. Harris, Bethany Kubik, Aba Mbirika, Lattice Point Visibility on Generalized Lines of Sight, The American Mathematical Monthly 125 (2018) no. 7, 593–601.
  • Michel Borner, Irene I. Bouw, Stefan Wewers, Picard Curves with Small Conductor, arXiv 1701.01986 (2017), 97-122.
  • Michel Borner, Irene I. Bouw, Stefan Wewers, Picard Curves with Small Conductor, arXiv 1701.01986 (2017), 97-122.
  • Sandro Bettin, The first moment of twisted Hecke \$L\$-functions with unbounded shifts, arXiv 1605.02440 (2016).
  • Nicolas Mascot, Jeroen Sijsling, John Voight, A Prym variety with everywhere good reduction over \$\mathbb\Q(\sqrt\61)\$, arXiv 1908.00421 (2019).
  • Alejandra Alvarado, Angelos Koutsianas, Beth Malmskog, Christopher Rasmussen, Christelle Vincent, Mckenzie West, A robust implementation for solving the \$S\$-unit equation and several applications, arXiv 1903.00977 (2019).
  • Joseph H. Silverman, Arithmetic and Dynamical Degrees on Abelian Varieties, arXiv 1501.04205 (2015).
  • Alex J Best, Jonathan W. Bober, Andrew R. Booker, Edgar Costa, John Cremona, Maarten Derickx, David Lowry-Duda, Min Lee, David Roe, Andrew V. Sutherland, John Voight, Computing classical modular forms, arXiv 2002.04717 (2020).
  • Taylor Dupuy, Kiran S. Kedlaya, David Roe, Christelle Vincent, Counterexamples to a Conjecture of Ahmadi and Shparlinski, arXiv 2003.05368 (2020).
  • Joseph H. Silverman, Divisor Divisibility Sequences on Tori, arXiv 1511.09038 (2015).
  • Frits Beukers, Henri Cohen, Anton Mellit, Finite hypergeometric functions, arXiv 1505.02900 (2015).
  • Stephen Samuel Gelbart, Ralph Greenberg, Stephen D. Miller, Freydoon Shahidi, Estimates on Eisenstein Distributions for Reciprocals of p-Adic L-Functions: The Case of Irregular Primes, arXiv 1611.09757 (2017), 193-208.
  • Taylor Dupuy, Kiran S. Kedlaya, David Roe, Christelle Vincent, Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB, arXiv 2003.05380 (2020).
  • Chris Jennings-Shaffer, Holly Swisher, Mock modularity of the \$M\_d\$-rank of overpartitions, arXiv 1706.00521 (2017), 1144-1189.
  • John Cremona, Lassina Demb'el'e, Ariel Pacetti, Ciaran Schembri, John Voight, On rational Bianchi newforms and abelian surfaces with quaternionic multiplication, arXiv 1907.12103 (2019).
  • Edgar Costa, Andreas-Stephan Elsenhans, J{\"o}rg Jahnel, On the distribution of the Picard ranks of the reductions of a K3 surface, arXiv 1610.07823 (2016).
  • T. Dupuy, Anton Hilado, Probabilistic Szpiro, Baby Szpiro, and Explicit Szpiro from Mochizuki's Corollary 3.12, arXiv 2004.13108 (2020).
  • Allison Arnold-Roksandich, Brian Diaz, Erin Ellefsen, Holly Swisher, Extending a catalog of mock and quantum modular forms to an infinite class, Research in Number Theory 6 (2019), 1-20.
  • Ralf Schmidt, Alok Shukla, On Klingen Eisenstein series with level in degree two, J. Ramanujan Math. Soc. 34 (2019) no. 4, 373--388.
  • Steven Nugent, John Voight, On the arithmetic dimension of triangle groups, Math. Comput. 86 (2017), 1979-2004.
  • Ralf Schmidt, Packet structure and paramodular forms, Trans. Amer. Math. Soc. 370 (2018) no. 5, 3085--3112.
  • Cris Poor, Ralf Schmidt, David S. Yuen, Paramodular forms of level 8 and weights 10 and 12, Int. J. Number Theory 14 (2018) no. 2, 417--467.
  • Winnie Li, Tong Liu, Ling Long, Potentially $\textGL_2$-type Galois representations associated to noncongruence modular forms, Transactions of the American Mathematical Society 371 (2016), .
  • Edgar Costa, Nicolas Mascot, Jeroen Sijsling, John Voight, Rigorous computation of the endomorphism ring of a Jacobian, Mathematics of Computation 88 (2018) no. 317, 1303–1339.
  • Andrew Sutherland, Sato-Tate distributions, Contemporary Mathematics (2019), 197–248.
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