Organizing Committee
 Alina Bucur
UCSD  John Conrey
American Institute of Mathematics  David Farmer
AIM  John Jones
Arizona State University  Kiran Kedlaya
University of California, San Diego  Michael Rubinstein
University of Waterloo  Holly Swisher
Oregon State University  John Voight
Dartmouth College
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 arithmeticgeometric 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 LFunctions 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 Lfunctions, building upon and complementing the algebraic, arithmetic, and geometric data.
Confirmed Speakers & Participants
Talks will be presented virtually or inperson as indicated in the schedule below.
 Speaker
 Poster Presenter
 Attendee
 Virtual Attendee

Dan Abramovich
Brown UniversitySep 28Oct 2, 2015; Oct 1924, 2015; Nov 913, 2015

Samuele Anni
University of WarwickSep 9Dec 4, 2015

Sonny Arora
The Pennsylvania State UniversitySep 28Oct 2, 2015

Jennifer Balakrishnan
University of OxfordSep 9Oct 7, 2015

Olga Balkanova
ICERMSep 9Dec 4, 2015

Cristina Ballantine
College of the Holy CrossSep 9Dec 4, 2015

Siegfred Baluyot
University of RochesterNov 913, 2015

Dianbin Bao
Temple UniversitySep 28Oct 2, 2015

Jennifer Beineke
Western New England UniversityNov 913, 2015

Michael Bennett
University of British ColumbiaSep 28Oct 2, 2015

Sandro Bettin
Université de MontréalSep 9Dec 4, 2015

Valentin Blomer
Universität GöttingenNov 913, 2015

Jonathan Bober
Heilbronn InstituteSep 9Dec 4, 2015

Andrew Booker
University of BristolNov 913, 2015

Michel Börner
Ulm UniversityNov 913, 2015

Irene Bouw
Universität UlmSep 9Dec 4, 2015

Simon Brandhorst
Leibniz University HannoverOct 1924, 2015

Benjamin Breen
Dartmouth CollegeSep 9Dec 4, 2015

Francesco Broggi
Warwick UniversityOct 1924, 2015

Reinier Bröker
Brown UniversitySep 28Oct 2, 2015

Armand Brumer
Fordham UniversitySep 28Oct 2, 2015; Oct 1924, 2015

Alina Bucur
UCSDSep 9Dec 4, 2015

Gregory Call
Amherst CollegeSep 9Dec 4, 2015

Marta Canadell
Georgia Institute of TechnologySep 9Dec 4, 2015

Marco Caselli
University of WarwickSep 28Oct 2, 2015

William Chen
Pennsylvania State UniversitySep 9Dec 4, 2015

Hao Chen
University of WashingtonSep 28Oct 2, 2015

Suh Hyun Choi
KAISTOct 1924, 2015

YoungJu Choie
POSTECHSep 9Dec 4, 2015

Henri Cohen
University of BordeauxSep 9Dec 4, 2015

John Conrey
American Institute of MathematicsSep 9Dec 4, 2015

John Cremona
University of WarwickSep 9Dec 4, 2015

John Cullinan
Bard CollegeSep 28Oct 2, 2015

Clifton Cunningham
University of CalgaryOct 1924, 2015

Slawomir Cynk
Jagiellonian UniversityOct 1924, 2015

Chantal David
Concordia UniversityNov 913, 2015

Giuliana Davidoff
Mount Holyoke CollegeNov 913, 2015

Alyson Deines
Center for Communications ResearchSep 28Oct 2, 2015

Lassina Dembele
Warwick UniversitySep 9Dec 4, 2015

Tim Dokchitser
University of BristolSep 9Dec 4, 2015

Valerio Dose
INdAM  Istituto Nazionale di Alta MatematicaSep 28Oct 2, 2015

Taylor Dupuy
The Hebrew UniversitySep 9Dec 4, 2015

Ellen Eischen
The University of North Carolina at Chapel HillSep 9Dec 4, 2015

Kirsten Eisentraeger
Pennsylvania State UniversitySep 28Oct 2, 2015

Ozlem Ejder
University of Southern CaliforniaSep 28Oct 2, 2015

Noam Elkies
Harvard UniversityOct 1924, 2015; Nov 913, 2015

AndreasStephan Elsenhans
University of PaderbornSep 9Dec 4, 2015

David Farmer
AIMSep 9Dec 4, 2015

Luis Finotti
University Of TennesseeSep 28Oct 2, 2015

Francesc Fité
Universität DuisburgEssenSep 28Oct 2, 2015

Sharon Frechette
College of the Holy CrossSep 9Dec 4, 2015

Amit Ghosh
Oklahoma State UniversityNov 913, 2015

Edray Goins
Purdue UniversitySep 9Dec 4, 2015

Steve Gonek
University of RochesterNov 913, 2015

Benedict Gross
Harvard UniversitySep 9Dec 4, 2015

Lucio Guerberoff
University College LondonSep 28Oct 2, 2015

Joao Guerreiro
Columbia UniversityNov 913, 2015

Anna Haensch
Duquesne UniversityNov 913, 2015

David Harvey
University of New South WalesSep 9Dec 4, 2015

Brendan Hassett
ICERM/Brown UniversitySep 28Oct 2, 2015; Oct 1924, 2015

Ghaith Hiary
The Ohio State UniversitySep 9Dec 4, 2015

Bingrong Huang
Columbia UniversityNov 913, 2015

Sorina Ionica
University of BordeauxSep 9Dec 4, 2015

Joerg Jahnel
University of SiegenSep 9Dec 4, 2015

Christopher JenningsShaffer
Oregon State UniversityOct 1924, 2015

Jennifer JohnsonLeung
University of IdahoSep 28Oct 2, 2015

John Jones
Arizona State UniversitySep 9Dec 4, 2015

Matija Kazalicki
University of ZagrebOct 1924, 2015

Jon Keating
University of BristolNov 913, 2015

Kiran Kedlaya
University of California, San DiegoSep 9Dec 4, 2015

Kamal KhuriMakdisi
American University of BeirutSep 9Dec 4, 2015

Pinar Kilicer
Leiden UniversitySep 28Oct 2, 2015

Seoyoung Kim
Brown UniversitySep 9Dec 4, 2015

Yeansu Kim
University of IowaNov 913, 2015

Eren Kiral
Texas A&M UniversityNov 913, 2015

Remke Kloosterman
Humboldt Universitaet zu BerlinOct 1924, 2015

Daniel Kohen
University of Buenos AiresSep 9Dec 4, 2015

Angelos Koutsianas
Ulm UniversitySep 9Dec 4, 2015

Sally Koutsoliotas
Bucknell UniversitySep 9Dec 4, 2015

Kenneth Kramer
CUNYSep 28Oct 2, 2015

Patrick Kühn
University of ZurichNov 913, 2015

Abhinav Kumar
Stony Brook UniversityOct 1924, 2015

Watson Ladd
UC BerkeleySep 9Dec 4, 2015

Matilde Lalin
University of MontrealNov 913, 2015

Kristin Lauter
MicrosoftSep 28Oct 2, 2015

TingFang Lee
Brown UniversitySep 9Dec 4, 2015

Min Lee
University of BristolSep 9Dec 4, 2015

Stefan Lemurell
University of Gothenburg and Chalmers Technical UniversitySep 9Dec 4, 2015

Wenching Li
Pennsylvania State UniversitySep 9Dec 4, 2015

Chao Li
Columbia UniversityOct 1924, 2015

ShengChi Liu
Washington State UniversityNov 913, 2015

Luis Lomeli
MaxPlanck Institute for MathematicsNov 913, 2015

Ling Long
Lousiana State UniversitySep 9Dec 4, 2015

Elisa Lorenzo Garcia
Universiteit LeidenSep 28Oct 2, 2015

Kimball Martin
University of OklahomaSep 28Oct 2, 2015

Chloe Martindale
Leiden UniversitySep 28Oct 2, 2015

Edgar Martins Dias Costa
ICERM/Dartmouth CollegeSep 9Dec 4, 2015

Jolanta Marzec
University of BristolSep 9Dec 4, 2015

Nicolas Mascot
University of WarwickSep 9Dec 4, 2015

Marc Masdeu
University of WarwickSep 28Oct 2, 2015

Maike Massierer
University of Lorraine / Inria / CNRSSep 9Dec 4, 2015

Kathrin Maurischat
Heidelberg UniversitySep 28Oct 2, 2015

Anna Medvedovsky
ICERMSep 9Dec 4, 2015

Micah Milinovich
University of MississippiNov 913, 2015

Steven Miller
Williams CollegeNov 913, 2015

Pascal MOLIN
Université Paris 7Nov 913, 2015

Michael Mossinghoff
Davidson CollegeNov 913, 2015

Hossein Movasati
IMPAOct 1924, 2015

Rachel Newton
Institut Des Hautes Études Scientifiques (IHÉS)Sep 28Oct 2, 2015

Nathan Ng
University of LethbridgeNov 913, 2015

Sami Omar
American UniversityNov 913, 2015

Ariel Pacetti
University of Buenos AiresSep 28Oct 2, 2015

Aurel Page
University of WarwickSep 9Dec 4, 2015

Mihran Papikian
Pennsylvania State UniversitySep 28Oct 2, 2015

Ameya Pitale
University of OklahomaSep 28Oct 2, 2015

David Platt
University of BristolNov 913, 2015

Bjorn Poonen
MITOct 1924, 2015; Nov 913, 2015

Cris Poor
Fordham UniversitySep 9Dec 4, 2015

Maksym Radziwill
Rutgers UniversityNov 913, 2015

Andre Reznikov
BarIlan UniversityNov 913, 2015

Damien Robert
INRIASep 28Oct 2, 2015

Brooks Roberts
University of IdahoSep 28Oct 2, 2015

David Roberts
University of Minnesota, MorrisSep 9Dec 4, 2015

Fernando RodriguezVillegas
University of Texas, AustinOct 1924, 2015

Michael Rubinstein
University of WaterlooSep 9Dec 4, 2015

Zeev Rudnick
Tel Aviv UniversityNov 913, 2015

Nathan Ryan
Bucknell UniversitySep 28Oct 2, 2015; Nov 913, 2015

Adriana Salerno
Bates CollegeOct 1924, 2015

Michael Schein
BarIlan UniversityNov 913, 2015

Samuel Schiavone
Dartmouth CollegeSep 9Dec 4, 2015

Harald Schilly
University of ViennaSep 9Dec 4, 2015

Ralf Schmidt
University of OklahomaSep 9Dec 4, 2015

Matthias Schuett
Gottfried Wilhelm Leibniz Universität HannoverOct 1131, 2015

Freydoon Shahidi
Purdue UniversityOct 18Nov 14, 2015

Yiwei She
Columbia UniversityOct 1924, 2015

Alok Shukla
University of OklahomaSep 9Dec 4, 2015

Jerry Shurman
Reed CollegeSep 9Dec 4, 2015

Jeroen Sijsling
Dartmouth CollegeSep 28Oct 2, 2015

Joseph Silverman
Brown UniversitySep 9Dec 4, 2015

Nils Skoruppa
Universität SiegenSep 28Oct 2, 2015

Nina Snaith
University of BristolSep 20Oct 20, 2015

Eduardo Soto Ballesteros
University of BarcelonaSep 28Oct 2, 2015

Kannan Soundararajan
Stanford UniversityNov 913, 2015

Marco Streng
Universiteit LeidenSep 28Oct 2, 2015

Fredrik Stromberg
University of NottinghamNov 913, 2015

Peng Sun
Central University of Finance and EconomicsSep 28Oct 2, 2015

Andrew Sutherland
Massachusetts Institute of TechnologySep 9Dec 4, 2015

Holly Swisher
Oregon State UniversitySep 9Dec 4, 2015

Lenny Taelman
University of AmsterdamOct 1924, 2015

Sho Tanimoto
University of CopenhagenOct 1924, 2015

Frank Thorne
University of South CarolinaNov 913, 2015

Long Tran
University of OklahomaSep 9Dec 4, 2015

Nicholas Triantafillou
MITSep 28Oct 2, 2015; Oct 1924, 2015

Yuri Tschinkel
New York UniversityOct 1924, 2015

Fang Ting Tu
National Chiao Tung UniversitySep 9Dec 4, 2015

Caroline TurnageButterbaugh
Duke UniversityNov 913, 2015

Douglas Ulmer
Georgia Institute of TechnologyOct 1924, 2015

Anthony VarillyAlvarado
Rice UniversityOct 1924, 2015

MarieFrance Vigneras
Institut de Mathématiques de JussieuSep 9Dec 4, 2015

Christelle Vincent
University of VermontSep 9Dec 4, 2015

Bianca Viray
University of WashingtonOct 1924, 2015

John Voight
Dartmouth CollegeSep 9Dec 4, 2015

Siddhesh Wagh
University of OklahomaSep 28Oct 2, 2015

James Weigandt
Purdue UniversitySep 9Dec 4, 2015

Stefan Wewers
Universität UlmSep 9Dec 4, 2015

Ursula Whitcher
University of WisconsinEau ClaireOct 1924, 2015

Tian An Wong
City University of New York (CUNY) Graduate CenterNov 913, 2015

Yifan Yang
National Chiao Tung UniversitySep 9Dec 4, 2015

Tonghai Yang
University of WisconsinSep 28Oct 2, 2015

Matthew Young
Texas A&MNov 913, 2015

David Yuen
Lake Forest CollegeSep 9Dec 4, 2015

Noriko Yui
Queen's UniversityOct 1924, 2015

Fan Zhou
Ohio State UniversityNov 913, 2015

David Zywina
Cornell UniversitySep 28Oct 2, 2015
Visit dates listed on the participant list may be tentative and subject to change without notice.
Semester Schedule
Wednesday, September 9, 2015
Time  Event  Location  Materials 

9:00  1:30pm EDT  CheckIn  121 S Main St, Providence, RI 02903, USA  
1:45  2:00pm EDT  Opening Welcome  Jill Pipher, ICERM Director  11th Floor Lecture Hall  
2:00  3:30pm EDT  Discussion: semester topics and goals  Moderated by Alina Bucur, UCSD  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
4:00  4:30pm EDT  Discussion: set schedule for the semester  11th Floor Lecture Hall  
4:30  5:30pm EDT  Organizational meeting for seminars and minicourses  11th Floor Lecture Hall  
5:30  7:00pm EDT  Welcome Reception  11th Floor Collaborative Space 
Thursday, September 10, 2015
Time  Event  Location  Materials 

9:30  10:00am EDT  Overview of the Langlands program  Kiran S. Kedlaya, UCSD  11th Floor Lecture Hall  
10:00  10:15am EDT  Coffee/Tea Break  11th Floor Collaborative Space  
10:15  11:15am EDT  Introduction to the LMFDB  David Farmer, AIM  11th Floor Lecture Hall  
11:30  11:35am EDT  5minute Graduate student introductions  Benjamin Breen, Dartmouth College  11th Floor Lecture Hall  
11:35  11:40am EDT  5minute Graduate student introductions  William Chen, Penn State  11th Floor Lecture Hall  
11:40  11:45am EDT  5minute Graduate student introductions  Seoyoung Kim, Brown University  11th Floor Lecture Hall  
11:45  11:50am EDT  5minute Graduate student introductions  Watson Ladd, UC Berkeley  11th Floor Lecture Hall  
11:50  11:55am EDT  5minute Graduate student introductions  David LowryDuda, Brown University  11th Floor Lecture Hall  
12:00  2:00pm EDT  Lunch and Free Time  
2:00  3:00pm EDT  Introduction to automorphic forms  Ralf Schmidt, University of Oklahoma  11th Floor Lecture Hall  
3:00  3:05pm EDT  5minute Graduate student introductions  Jolanta Marzec, University of Bristol  11th Floor Lecture Hall  
3:05  3:10pm EDT  5minute Graduate student introductions  Samuel Schiavone, Dartmouth College  11th Floor Lecture Hall  
3:10  3:15pm EDT  5minute Graduate student introductions  Alok Shukla, University of Oklahoma  11th Floor Lecture Hall  
3:15  3:20pm EDT  5minute Graduate student introductions  Long Tran, University of Oklahoma  11th Floor Lecture Hall  
3:20  3:25pm EDT  5minute Graduate student introductions  Alexander Walker, Brown University  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
4:00  5:00pm EDT  What are motives  David Roberts, University of Minnesota  Morris  11th Floor Lecture Hall 
Friday, September 11, 2015
Time  Event  Location  Materials 

9:30  10:30am EDT  Computational problems: the interesting vs the possible  Andrew Sutherland, MIT  11th Floor Lecture Hall  
10:30  11:00am EDT  Coffee/Tea Break  11th Floor Collaborative Space  
11:00  12:00pm EDT  Introduction to computing complete number theoretic data: number fields  John Jones, Arizona State University  11th Floor Lecture Hall  
12:00  2:00pm EDT  Lunch and Free Time  
2:00  2:10pm EDT  10minute Postdoc introduction  Olga Balkanova, ICERM Semester Postdoc  11th Floor Lecture Hall  
2:10  2:20pm EDT  10minute Postdoc introduction  Sandro Bettin, ICERM Semester Postdoc  11th Floor Lecture Hall  
2:20  2:30pm EDT  10minute Postdoc introduction  Edgar Costa, ICERM Semester Postdoc  11th Floor Lecture Hall  
2:30  2:40pm EDT  10minute Postdoc introduction  TingFang Lee, Brown University  11th Floor Lecture Hall  
2:40  2:50pm EDT  10 Minute Postdoc Introductions  Anna Medvedovsky, ICERM Institute Postdoc  11th Floor Lecture Hall  
2:50  3:00pm EDT  10minute Postdoc introduction  James Weingandt, ICERM Institute Postdoc  11th Floor Lecture Hall  
3:00  3:10pm EDT  10minute Postdoc introduction  Marta Canadell, ICERM Institute Postdoc  11th Floor Lecture Hall  
3:20  4:00pm EDT  Coffee/Tea Break  11th Floor Collaborative Space  
4:00  5:00pm EDT  Lfunctions: the glue that holds the world together  Brian Conrey, AIM  11th Floor Lecture Hall 
Monday, September 14, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
11:00  11:30am EDT  Introductions and Announcements  11th Floor Lecture Hall  
2:00  3:30pm EDT  Stable reduction and computation of bad reduction Euler factors  part I  Irene Bouw, University of Ulm  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Tuesday, September 15, 2015
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break 
Wednesday, September 16, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
12:00  5:00pm EDT  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EDT  Coffee/Tea Break 
Thursday, September 17, 2015
Time  Event  Location  Materials 

10:00  11:30am EDT  Hypergeomteric Motives, I  David Roberts, University of Minnesota  Morris  11th Floor Lecture Hall  
3:00  3:30pm EDT  Coffee/Tea Break  
4:00  5:00pm EDT  Research Seminar Counting points on hypersurfaces  David Harvey, University of New South Wales  11th Floor Lecture Hall 
Friday, September 18, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
11:00  12:30pm EDT  Paramodular conjecture for genus 2 curves  Ralf Schmidt, University of Oklahoma  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Monday, September 21, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
12:00  1:00pm EDT  Graduate Student/Postodoc PeertoPeer Seminar  Feel free to bring your lunch.  10th Floor Classroom  
1:00  2:30pm EDT  Stable reduction and computation of bad reduction Euler factors  part II  Irene Bouw, University of Ulm  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Tuesday, September 22, 2015
Wednesday, September 23, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
12:00  5:00pm EDT  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EDT  Coffee/Tea Break 
Thursday, September 24, 2015
Time  Event  Location  Materials 

10:00  11:30am EDT  Lfunctions  automorphic vs analytic points of view  Ralf Schmidt, University of Oklahoma and David Farmer, AIM  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  
4:00  5:00pm EDT  Research Seminar  Abelian Varieties, Canonical Heights, and Counting Rational Points  Joe Silverman, Brown University  11th Floor Lecture Hall 
Friday, September 25, 2015
Time  Event  Location  Materials 

10:00  11:30am EDT  Problem Session  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Monday, September 28, 2015
Tuesday, September 29, 2015
Wednesday, September 30, 2015
Thursday, October 1, 2015
Friday, October 2, 2015
Monday, October 5, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
11:00  11:30am EDT  Introductions and Announcements  11th Floor Lecture Hall  
12:00  1:00pm EDT  Graduate Student/Postodoc PeertoPeer Seminar  Feel free to bring your lunch.  10th Floor Classroom  
2:00  3:30pm EDT  Stable reduction and computation of bad reduction Euler factors  part III  Stefan Wewers, University of Ulm  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Tuesday, October 6, 2015
Wednesday, October 7, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
12:00  5:00pm EDT  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EDT  Coffee/Tea Break 
Thursday, October 8, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Research Seminar  Hypergeometric functions over finite fields, I  Holly Swisher, Oregon State  11th Floor Lecture Hall  
11:10  12:10pm EDT  Problem Session  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  
4:00  5:30pm EDT  K3 Surfaces  Noam Elkies, Harvard University  11th Floor Lecture Hall 
Friday, October 9, 2015
Time  Event  Location  Materials 

3:30  4:00pm EDT  Coffee/Tea Break  10th Floor Collaborative Space 
Monday, October 12, 2015
Time  Event  Location  Materials 

8:30  5:00pm EDT  ICERM Closed  
3:30  4:00pm EDT  Coffee/Tea Break 
Tuesday, October 13, 2015
Time  Event  Location  Materials 

9:00  10:00am EDT  Professional Development  Ethics in research II  Mandatory for Grads and Postdocs receiving ICERM funding  11th Floor Lecture Hall  
3:30  4:00pm EDT  Ada Lovelace Coffee/Tea Break 
Wednesday, October 14, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
11:00  11:30am EDT  Introductions and Announcements  11th Floor Lecture Hall  
12:00  5:00pm EDT  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EDT  Coffee/Tea Break 
Thursday, October 15, 2015
Time  Event  Location  Materials 

10:00  11:30am EDT  K3 Surfaces  Brendan Hassett, Brown University  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  
4:00  5:00pm EDT  Hypergeometric functions over finite fields, II  Ling Long, Louisiana State University  11th Floor Lecture Hall 
Friday, October 16, 2015
Time  Event  Location  Materials 

8:30  12:30pm EDT  Lecture Hall Reserved for Maintenance  
1:00  2:00pm EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
2:00  3:30pm EDT  Problem Session  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Monday, October 19, 2015
Tuesday, October 20, 2015
Wednesday, October 21, 2015
Thursday, October 22, 2015
Friday, October 23, 2015
Monday, October 26, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
11:00  12:00pm EDT  Introductions and Announcements  11th Floor Lecture Hall  
12:00  1:00pm EDT  Graduate Student and Postdoc Seminar  10th Floor Classroom  
2:00  3:30pm EDT  Functoriality  Freydoon Shahidi, Purdue University  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Tuesday, October 27, 2015
Time  Event  Location  Materials 

9:00  10:00am EDT  Professional Development  Hiring Process  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Wednesday, October 28, 2015
Time  Event  Location  Materials 

10:00  11:00am EDT  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
12:00  5:00pm EDT  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EDT  Coffee/Tea Break 
Thursday, October 29, 2015
Time  Event  Location  Materials 

9:30  11:00am EDT  Lfunctions and Random Matrix Theory  Michael Rubinstein, Waterloo  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break  
4:00  5:00pm EDT  Research Seminar  Langlands Lfunctions and counting geodesic cycles  Winnie Li, Penn State  11th Floor Lecture Hall 
Friday, October 30, 2015
Time  Event  Location  Materials 

11:00  12:30pm EDT  Problem Session  lab meeting  11th Floor Lecture Hall  
3:30  4:00pm EDT  Coffee/Tea Break 
Monday, November 2, 2015
Time  Event  Location  Materials 

11:00  11:30am EST  Introductions and Announcements  11th Floor Lecture Hall  
12:00  1:00pm EST  Graduate Student and Postdoc Seminar  10th Floor Classroom  
1:00  1:30pm EST  Graduate Student and Postdoc Group Photo  10th Floor Classroom  
2:00  3:30pm EST  Mod ell congruences and padic ramification, in general and for HGMs  David Roberts, University of Minnesota, Morris  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Tuesday, November 3, 2015
Time  Event  Location  Materials 

9:00  10:00am EST  Professional Development  Papers and Journals  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Wednesday, November 4, 2015
Time  Event  Location  Materials 

10:00  11:00am EST  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
11:00  11:10am EST  Semester Program Group Photo  11th Floor Lecture Hall  
12:00  5:00pm EST  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EST  Coffee/Tea Break 
Thursday, November 5, 2015
Time  Event  Location  Materials 

10:00  11:30am EST  Computing Lfunctions in PARI  Henri Cohen, University of Bordeaux  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  
4:00  5:00pm EST  Research Seminar  MarieFrance Vigneras, Institut de Mathématiques de Jussieu  11th Floor Lecture Hall 
Friday, November 6, 2015
Time  Event  Location  Materials 

10:00  11:00am EST  Course on quaternion algebras  John Voight, Dartmouth College  11th Floor Lecture Hall  
11:00  12:30pm EST  Problem Session  lab meeting  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Monday, November 9, 2015
Tuesday, November 10, 2015
Wednesday, November 11, 2015
Thursday, November 12, 2015
Friday, November 13, 2015
Monday, November 16, 2015
Time  Event  Location  Materials 

11:00  11:30am EST  Introductions and Announcements  11th Floor Lecture Hall  
12:00  1:00pm EST  Graduate Student and Postdoc Seminar  10th Floor Classroom  
2:00  3:30pm EST  Challenges in largescale computation  Panel Discussion  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Tuesday, November 17, 2015
Time  Event  Location  Materials 

3:30  4:00pm EST  Coffee/Tea Break 
Wednesday, November 18, 2015
Time  Event  Location  Materials 

12:00  5:00pm EST  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EST  Coffee/Tea Break 
Thursday, November 19, 2015
Time  Event  Location  Materials 

10:00  11:30am EST  Hypergeometric motives, III  David Roberts, University of Minnesota, Morris  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break  
4:00  5:00pm EST  Research Seminar  John Cremona, University of Warwick  11th Floor Lecture Hall 
Friday, November 20, 2015
Time  Event  Location  Materials 

11:00  12:30pm EST  Problem Session  lab meeting  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Monday, November 23, 2015
Time  Event  Location  Materials 

11:00  11:30am EST  Introductions and Announcements  11th Floor Lecture Hall  
12:00  1:00pm EST  Graduate Student/Postdoc Seminar  10th Floor Classroom  
3:30  4:00pm EST  Coffee/Tea Break 
Tuesday, November 24, 2015
Time  Event  Location  Materials 

9:00  10:00am EST  Professional Development  Grant Proposals  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Wednesday, November 25, 2015
Time  Event  Location  Materials 

12:00  5:00pm EST  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EST  Coffee/Tea Break 
Thursday, November 26, 2015
Time  Event  Location  Materials 

8:30  5:00pm EST  ICERM Closed 
Friday, November 27, 2015
Time  Event  Location  Materials 

8:30  5:00pm EST  ICERM Closed 
Monday, November 30, 2015
Time  Event  Location  Materials 

11:00  11:30am EST  Introductions and Announcements  11th Floor Lecture Hall  
2:00  3:30pm EST  SatoTate groups  Kiran Kedlaya and Andrew Sutherland  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Tuesday, December 1, 2015
Time  Event  Location  Materials 

3:30  4:00pm EST  Coffee/Tea Break 
Wednesday, December 2, 2015
Time  Event  Location  Materials 

12:00  5:00pm EST  Informal Discussion  Work on LMFDB  11th Floor Conference Room  
3:30  4:00pm EST  Coffee/Tea Break 
Thursday, December 3, 2015
Time  Event  Location  Materials 

3:00  5:00pm EST  Problem Session  lab meeting  11th Floor Lecture Hall  
3:30  4:00pm EST  Coffee/Tea Break 
Friday, December 4, 2015
Time  Event  Location  Materials 

3:30  4:00pm EST  Coffee/Tea Break 
Lecture Videos
Stable reduction and computation of bad reduction Euler factors  part II
Stable reduction and computation of bad reduction Euler factors  part I
Lfunctions: the glue that holds the world together
Introduction to computing complete number theoretic data: number fields
Overview of the Langlands program
Publications
 Bogdan Adrian Dina, Sorina Ionica, Genus 3 hyperelliptic curves with CM via Shimura reciprocity, Open Book Series 4 (2020) no. 1, 161178.
 Angelos Koutsianas, Applications of Sunit 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, 87154.
 John Voight, Quaternion algebras, Springer Nature, 2021.
 Kamal KhuriMakdisi, 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 Lfunctions, Journal of Number Theory (2019).
 Alina Bucur, Edgar Costa, Chantal David, Jo{\~a}o Guerreiro, David LowryDuda, 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, Ramanujantype identities for Shimura curves, Israel Journal of Mathematics 214 (2013), 699731.
 Trajan Hammonds, Seoyoung Kim, Benjamin Logsdon, {\'A}lvaro LozanoRobledo, 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 genus3 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 SatoTate 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, SoonYi Kang, Holly Swisher, Stephanie Treneer, Quantum mock modular forms arising from eta–theta functions, Research in Number Theory 2 (2016), 141.
 William Chen, Moduli interpretations for noncongruence modular curves, Mathematische Annalen 371 (2015), 41126.
 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), 11471172.
 Kiran Kedlaya, Anna Medvedovsky, Mod2 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), 97122.
 Michel Borner, Irene I. Bouw, Stefan Wewers, Picard Curves with Small Conductor, arXiv 1701.01986 (2017), 97122.
 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 LowryDuda, 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 pAdic LFunctions: The Case of Irregular Primes, arXiv 1611.09757 (2017), 193208.
 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 JenningsShaffer, Holly Swisher, Mock modularity of the \$M\_d\$rank of overpartitions, arXiv 1706.00521 (2017), 11441189.
 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, AndreasStephan 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 ArnoldRoksandich, 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), 120.
 Ralf Schmidt, Alok Shukla, On Klingen Eisenstein series with level in degree two, J. Ramanujan Math. Soc. 34 (2019) no. 4, 373388.
 Steven Nugent, John Voight, On the arithmetic dimension of triangle groups, Math. Comput. 86 (2017), 19792004.
 Ralf Schmidt, Packet structure and paramodular forms, Trans. Amer. Math. Soc. 370 (2018) no. 5, 30853112.
 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, 417467.
 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, SatoTate distributions, Contemporary Mathematics (2019), 197–248.
 Matija Kazalicki, Daniela Kohen, Supersingular zeros of divisor polynomials of elliptic curves of prime conductor, Research in the Mathematical Sciences 4 (2016), 115.
 Michel B{\"o}rner, Irene I. Bouw, Stefan Wewers, The Functional Equation for LFunctions of Hyperelliptic Curves, Experimental Mathematics 26 (2017), 396  411.
 John Cremona, The LFunctions and Modular Forms Database Project, Foundations of Computational Mathematics 16 (2016) no. 6, 1541–1553.
 Sandro Bettin, S. Gonek, The $\theta=\infty$ conjecture implies the Riemann hypothesis, Mathematika 63 (2016), .
 Kamal KhuriMakdisi, Upper bounds for some Brill–Noether loci over a finite field, International Journal of Number Theory 14 (2018) no. 03, 739–749.
 Sharon Frechette, Holly Swisher, FangTing Tu, A cubic transformation formula for Appell–Lauricella hypergeometric functions over finite fields, Research in Number Theory 4 (2017), 127.
 Duncan A. Buell, Gregory S. Call, Class pairings and isogenies on elliptic curves, J. Number Theory 167 (2016), 3173.
 Angelos Koutsianas, Computing All Elliptic Curves Over an Arbitrary Number Field with Prescribed Primes of Bad Reduction, Experimental Mathematics 28 (2019), 1  15.
 Irene I. Bouw, Angelos Koutsianas, Jeroen Sijsling, Stefan Wewers, Conductor and discriminant of Picard curves, Journal of the London Mathematical Society 102 (2020) no. 1, 368–404.
 Noriyuki Otsubo, Hypergeometric functions over finite fields, 2021, .
 Alex Bartel, Aurel Page, Torsion homology and regulators of isospectral manifolds, Journal of Topology 9 (2016) no. 4, 1237–1256.
 Michael Allen, Nicholas Anderson, Asimina Hamakiotes, Ben Oltsik, Holly Swisher, Etaquotients of prime or semiprime level and elliptic curves, Involve, a Journal of Mathematics 13 (2020) no. 5, 879–900.
 Samuele Anni, Vladimir Dokchitser, Constructing hyperelliptic curves with surjective Galois representations, Transactions of the American Mathematical Society (2019).
 Joseph H. Silverman, Gregory S. Call, Degeneration of dynamical degrees in families of maps, Acta Arithmetica 184 (2018) no. 2, 101–116.
 John W. Jones, David P. Roberts, Mixed degree number field computations, The Ramanujan Journal 47 (2016), 4766.
 Noriyuki Otsubo, Hypergeometric functions over finite fields, 2021, .
 Andrew Sutherland, Fast Jacobian arithmetic for hyperelliptic curves of genus 3, The Open Book Series 2 (2019) no. 1, 425–442.
 FangTing Tu, Yifan Yang, Evaluation of Certain Hypergeometric Functions over Finite Fields, Symmetry, Integrability and Geometry: Methods and Applications (2018).
 Sharon Frechette, Holly Swisher, FangTing Tu, A cubic transformation formula for Appell–Lauricella hypergeometric functions over finite fields, Research in Number Theory 4 (2017), 127.
 Jennifer S. Balakrishnan, Sorina Ionica, Kristin Lauter, Christelle Vincent, Constructing genus3 hyperelliptic Jacobians with CM, LMS Journal of Computation and Mathematics 19 (2016) no. A, 283–300.
 David Harvey, Maike Massierer, Andrew V. Sutherland, Computing series of geometrically hyperelliptic curves of genus three, LMS Journal of Computation and Mathematics 19 (2016) no. A, 220–234.
 Irene I. Bouw, Stefan Wewers, COMPUTING LFUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES, Glasgow Mathematical Journal 59 (2016), 77  108.
 Alok Shukla, Codimensions of the spaces of cusp forms for Siegel congruence subgroups in degree two, Pacific Journal of Mathematics 293 (2018), 207244.
 Alejandro ArgáezGarcía, John Cremona, Black Box Galois representations, Journal of Algebra 512 (2018), 526–565.
 Ghaith A. Hiary, Asymptotics and Formulas for Cubic Exponential Sums, Proceedings of the Steklov Institute of Mathematics 299 (2017), 7895.
 John W. Jones, David P. Roberts, Artin Lfunctions of small conductor, Research in Number Theory 3 (2016), 133.
 Ralf Schmidt, Archimedean aspects of Siegel modular forms of degree 2, Rocky Mountain J. Math. 47 (2017) no. 7, 23812422.
 O. Balkanova, D. Frolenkov, A uniform asymptotic formula for the second moment of primitive Lfunctions on the critical line, Proceedings of the Steklov Institute of Mathematics 294 (2016), 1346.
 Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight, Dan Yasaki, A database of genus2 curves over the rational numbers, LMS Journal of Computation and Mathematics 19 (2016) no. A, 235–254.
 Jonathan W. Bober, Ghaith A. Hiary, New Computations of the Riemann Zeta Function on the Critical Line, Experimental Mathematics 27 (2018), 125  137.
 Anna Medvedovsky, Nilpotence order growth of recursion operators in characteristic p, Algebra & Number Theory 12 (2018) no. 3, 693–722.
 O. Balkanova, D. Frolenkov, Nonvanishing of automorphic Lfunctions of prime power level, Monatshefte f{\"u}r Mathematik 185 (2016), 1741.
 D. Kohen, Ariel Pacetti, On Heegner points for primes of additive reduction ramifying in the base field, Transactions of the American Mathematical Society 370 (2015), 911926.
 Matija Kazalicki, Daniela Kohen, On a special case of Watkins' conjecture, arXiv 1611.05671 (2016).
 Sandro Bettin, Chantal David, Christophe Delaunay, Nonisotrivial elliptic surfaces with nonzero average root number, arXiv 1612.03095 (2016).
 Olga Balkanova, Dmitry Frolenkov, New error term for the fourth moment of automorphic L functions, arXiv 1602.08203 (2016).
 Clifton Cunningham, Lassina Demb'el'e, Lifts of Hilbert modular forms and application to modularity of abelian varieties, arXiv 1705.03054 (2017).
 Jacqueline Anderson, Irene I. Bouw, Ozlem Ejder, Neslihan Girgin, Valentijn Karemaker, Michelle Manes, Dynamical Belyi maps, arXiv 1703.08563 (2018), 5782.
 Ghaith A. Hiary, An explicit hybrid estimate for \$L(1/2+it,\chi)\$, arXiv 1510.00950 (2015).
 Sandro Bettin, Hung M. Bui, Xiannan Li, Maksym Radziwill, A quadratic divisor problem and moments of the Riemann zetafunction, arXiv 1609.02539 (2016).
 Ghaith A. Hiary, A fast amortized algorithm for computing quadratic Dirichlet \$L\$functions, arXiv 1605.02637 (2016).
 Steve Donnelly, John Voight, A database of Hilbert modular forms, arXiv 1605.02637 (2016).
 Christelle Vincent, A characterization of the U(Omega,m) sets of a hyperelliptic curve as Omega and m vary, arXiv 1903.08730 (2019).
 Kiran S. Kedlaya, Andrew V. Sutherland, A census of zeta functions of quartic K surfaces over, LMS Journal of Computation and Mathematics 19 (2016) no. A, 1–11.