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 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.

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 UniversitySep 28-Oct 2, 2015; Oct 19-24, 2015; Nov 9-13, 2015
-
Samuele Anni
University of WarwickSep 9-Dec 4, 2015
-
Sonny Arora
The Pennsylvania State UniversitySep 28-Oct 2, 2015
-
Jennifer Balakrishnan
University of OxfordSep 9-Oct 7, 2015
-
Olga Balkanova
ICERMSep 9-Dec 4, 2015
-
Cristina Ballantine
College of the Holy CrossSep 9-Dec 4, 2015
-
Siegfred Baluyot
University of RochesterNov 9-13, 2015
-
Dianbin Bao
Temple UniversitySep 28-Oct 2, 2015
-
Jennifer Beineke
Western New England UniversityNov 9-13, 2015
-
Michael Bennett
University of British ColumbiaSep 28-Oct 2, 2015
-
Sandro Bettin
Université de MontréalSep 9-Dec 4, 2015
-
Valentin Blomer
Universität GöttingenNov 9-13, 2015
-
Jonathan Bober
Heilbronn InstituteSep 9-Dec 4, 2015
-
Andrew Booker
University of BristolNov 9-13, 2015
-
Michel Börner
Ulm UniversityNov 9-13, 2015
-
Irene Bouw
Universität UlmSep 9-Dec 4, 2015
-
Simon Brandhorst
Leibniz University HannoverOct 19-24, 2015
-
Benjamin Breen
Dartmouth CollegeSep 9-Dec 4, 2015
-
Francesco Broggi
Warwick UniversityOct 19-24, 2015
-
Reinier Bröker
Brown UniversitySep 28-Oct 2, 2015
-
Armand Brumer
Fordham UniversitySep 28-Oct 2, 2015; Oct 19-24, 2015
-
Alina Bucur
UCSDSep 9-Dec 4, 2015
-
Gregory Call
Amherst CollegeSep 9-Dec 4, 2015
-
Marta Canadell
Georgia Institute of TechnologySep 9-Dec 4, 2015
-
Marco Caselli
University of WarwickSep 28-Oct 2, 2015
-
William Chen
Pennsylvania State UniversitySep 9-Dec 4, 2015
-
Hao Chen
University of WashingtonSep 28-Oct 2, 2015
-
Suh Hyun Choi
KAISTOct 19-24, 2015
-
YoungJu Choie
POSTECHSep 9-Dec 4, 2015
-
Henri Cohen
University of BordeauxSep 9-Dec 4, 2015
-
John Conrey
American Institute of MathematicsSep 9-Dec 4, 2015
-
John Cremona
University of WarwickSep 9-Dec 4, 2015
-
John Cullinan
Bard CollegeSep 28-Oct 2, 2015
-
Clifton Cunningham
University of CalgaryOct 19-24, 2015
-
Slawomir Cynk
Jagiellonian UniversityOct 19-24, 2015
-
Chantal David
Concordia UniversityNov 9-13, 2015
-
Giuliana Davidoff
Mount Holyoke CollegeNov 9-13, 2015
-
Alyson Deines
Center for Communications ResearchSep 28-Oct 2, 2015
-
Lassina Dembele
Warwick UniversitySep 9-Dec 4, 2015
-
Tim Dokchitser
University of BristolSep 9-Dec 4, 2015
-
Valerio Dose
INdAM - Istituto Nazionale di Alta MatematicaSep 28-Oct 2, 2015
-
Taylor Dupuy
The Hebrew UniversitySep 9-Dec 4, 2015
-
Ellen Eischen
The University of North Carolina at Chapel HillSep 9-Dec 4, 2015
-
Kirsten Eisentraeger
Pennsylvania State UniversitySep 28-Oct 2, 2015
-
Ozlem Ejder
University of Southern CaliforniaSep 28-Oct 2, 2015
-
Noam Elkies
Harvard UniversityOct 19-24, 2015; Nov 9-13, 2015
-
Andreas-Stephan Elsenhans
University of PaderbornSep 9-Dec 4, 2015
-
David Farmer
AIMSep 9-Dec 4, 2015
-
Luis Finotti
University Of TennesseeSep 28-Oct 2, 2015
-
Francesc Fité
Universität Duisburg-EssenSep 28-Oct 2, 2015
-
Sharon Frechette
College of the Holy CrossSep 9-Dec 4, 2015
-
Amit Ghosh
Oklahoma State UniversityNov 9-13, 2015
-
Edray Goins
Purdue UniversitySep 9-Dec 4, 2015
-
Steve Gonek
University of RochesterNov 9-13, 2015
-
Benedict Gross
Harvard UniversitySep 9-Dec 4, 2015
-
Lucio Guerberoff
University College LondonSep 28-Oct 2, 2015
-
Joao Guerreiro
Columbia UniversityNov 9-13, 2015
-
Anna Haensch
Duquesne UniversityNov 9-13, 2015
-
David Harvey
University of New South WalesSep 9-Dec 4, 2015
-
Brendan Hassett
ICERM/Brown UniversitySep 28-Oct 2, 2015; Oct 19-24, 2015
-
Ghaith Hiary
The Ohio State UniversitySep 9-Dec 4, 2015
-
Bingrong Huang
Columbia UniversityNov 9-13, 2015
-
Sorina Ionica
University of BordeauxSep 9-Dec 4, 2015
-
Joerg Jahnel
University of SiegenSep 9-Dec 4, 2015
-
Christopher Jennings-Shaffer
Oregon State UniversityOct 19-24, 2015
-
Jennifer Johnson-Leung
University of IdahoSep 28-Oct 2, 2015
-
John Jones
Arizona State UniversitySep 9-Dec 4, 2015
-
Matija Kazalicki
University of ZagrebOct 19-24, 2015
-
Jon Keating
University of BristolNov 9-13, 2015
-
Kiran Kedlaya
University of California, San DiegoSep 9-Dec 4, 2015
-
Kamal Khuri-Makdisi
American University of BeirutSep 9-Dec 4, 2015
-
Pinar Kilicer
Leiden UniversitySep 28-Oct 2, 2015
-
Seoyoung Kim
Brown UniversitySep 9-Dec 4, 2015
-
Yeansu Kim
University of IowaNov 9-13, 2015
-
Eren Kiral
Texas A&M UniversityNov 9-13, 2015
-
Remke Kloosterman
Humboldt Universitaet zu BerlinOct 19-24, 2015
-
Daniel Kohen
University of Buenos AiresSep 9-Dec 4, 2015
-
Angelos Koutsianas
Ulm UniversitySep 9-Dec 4, 2015
-
Sally Koutsoliotas
Bucknell UniversitySep 9-Dec 4, 2015
-
Kenneth Kramer
CUNYSep 28-Oct 2, 2015
-
Patrick Kühn
University of ZurichNov 9-13, 2015
-
Abhinav Kumar
Stony Brook UniversityOct 19-24, 2015
-
Watson Ladd
UC BerkeleySep 9-Dec 4, 2015
-
Matilde Lalin
University of MontrealNov 9-13, 2015
-
Kristin Lauter
MicrosoftSep 28-Oct 2, 2015
-
TingFang Lee
Brown UniversitySep 9-Dec 4, 2015
-
Min Lee
University of BristolSep 9-Dec 4, 2015
-
Stefan Lemurell
University of Gothenburg and Chalmers Technical UniversitySep 9-Dec 4, 2015
-
Wenching Li
Pennsylvania State UniversitySep 9-Dec 4, 2015
-
Chao Li
Columbia UniversityOct 19-24, 2015
-
Sheng-Chi Liu
Washington State UniversityNov 9-13, 2015
-
Luis Lomeli
Max-Planck Institute for MathematicsNov 9-13, 2015
-
Ling Long
Lousiana State UniversitySep 9-Dec 4, 2015
-
Elisa Lorenzo Garcia
Universiteit LeidenSep 28-Oct 2, 2015
-
Kimball Martin
University of OklahomaSep 28-Oct 2, 2015
-
Chloe Martindale
Leiden UniversitySep 28-Oct 2, 2015
-
Edgar Martins Dias Costa
ICERM/Dartmouth CollegeSep 9-Dec 4, 2015
-
Jolanta Marzec
University of BristolSep 9-Dec 4, 2015
-
Nicolas Mascot
University of WarwickSep 9-Dec 4, 2015
-
Marc Masdeu
University of WarwickSep 28-Oct 2, 2015
-
Maike Massierer
University of Lorraine / Inria / CNRSSep 9-Dec 4, 2015
-
Kathrin Maurischat
Heidelberg UniversitySep 28-Oct 2, 2015
-
Anna Medvedovsky
ICERMSep 9-Dec 4, 2015
-
Micah Milinovich
University of MississippiNov 9-13, 2015
-
Steven Miller
Williams CollegeNov 9-13, 2015
-
Pascal MOLIN
Université Paris 7Nov 9-13, 2015
-
Michael Mossinghoff
Davidson CollegeNov 9-13, 2015
-
Hossein Movasati
IMPAOct 19-24, 2015
-
Rachel Newton
Institut Des Hautes Études Scientifiques (IHÉS)Sep 28-Oct 2, 2015
-
Nathan Ng
University of LethbridgeNov 9-13, 2015
-
Sami Omar
American UniversityNov 9-13, 2015
-
Ariel Pacetti
University of Buenos AiresSep 28-Oct 2, 2015
-
Aurel Page
University of WarwickSep 9-Dec 4, 2015
-
Mihran Papikian
Pennsylvania State UniversitySep 28-Oct 2, 2015
-
Ameya Pitale
University of OklahomaSep 28-Oct 2, 2015
-
David Platt
University of BristolNov 9-13, 2015
-
Bjorn Poonen
MITOct 19-24, 2015; Nov 9-13, 2015
-
Cris Poor
Fordham UniversitySep 9-Dec 4, 2015
-
Maksym Radziwill
Rutgers UniversityNov 9-13, 2015
-
Andre Reznikov
Bar-Ilan UniversityNov 9-13, 2015
-
Damien Robert
INRIASep 28-Oct 2, 2015
-
David Roberts
University of Minnesota, MorrisSep 9-Dec 4, 2015
-
Brooks Roberts
University of IdahoSep 28-Oct 2, 2015
-
Fernando Rodriguez-Villegas
University of Texas, AustinOct 19-24, 2015
-
Michael Rubinstein
University of WaterlooSep 9-Dec 4, 2015
-
Zeev Rudnick
Tel Aviv UniversityNov 9-13, 2015
-
Nathan Ryan
Bucknell UniversitySep 28-Oct 2, 2015; Nov 9-13, 2015
-
Adriana Salerno
Bates CollegeOct 19-24, 2015
-
Michael Schein
Bar-Ilan UniversityNov 9-13, 2015
-
Samuel Schiavone
Dartmouth CollegeSep 9-Dec 4, 2015
-
Harald Schilly
University of ViennaSep 9-Dec 4, 2015
-
Ralf Schmidt
University of OklahomaSep 9-Dec 4, 2015
-
Matthias Schuett
Gottfried Wilhelm Leibniz Universität HannoverOct 11-31, 2015
-
Freydoon Shahidi
Purdue UniversityOct 18-Nov 14, 2015
-
Yiwei She
Columbia UniversityOct 19-24, 2015
-
Alok Shukla
University of OklahomaSep 9-Dec 4, 2015
-
Jerry Shurman
Reed CollegeSep 9-Dec 4, 2015
-
Jeroen Sijsling
Dartmouth CollegeSep 28-Oct 2, 2015
-
Joseph Silverman
Brown UniversitySep 9-Dec 4, 2015
-
Nils Skoruppa
Universität SiegenSep 28-Oct 2, 2015
-
Nina Snaith
University of BristolSep 20-Oct 20, 2015
-
Eduardo Soto Ballesteros
University of BarcelonaSep 28-Oct 2, 2015
-
Kannan Soundararajan
Stanford UniversityNov 9-13, 2015
-
Marco Streng
Universiteit LeidenSep 28-Oct 2, 2015
-
Fredrik Stromberg
University of NottinghamNov 9-13, 2015
-
Peng Sun
Central University of Finance and EconomicsSep 28-Oct 2, 2015
-
Andrew Sutherland
Massachusetts Institute of TechnologySep 9-Dec 4, 2015
-
Holly Swisher
Oregon State UniversitySep 9-Dec 4, 2015
-
Lenny Taelman
University of AmsterdamOct 19-24, 2015
-
Sho Tanimoto
University of CopenhagenOct 19-24, 2015
-
Frank Thorne
University of South CarolinaNov 9-13, 2015
-
Long Tran
University of OklahomaSep 9-Dec 4, 2015
-
Nicholas Triantafillou
MITSep 28-Oct 2, 2015; Oct 19-24, 2015
-
Yuri Tschinkel
New York UniversityOct 19-24, 2015
-
Fang Ting Tu
National Chiao Tung UniversitySep 9-Dec 4, 2015
-
Caroline Turnage-Butterbaugh
Duke UniversityNov 9-13, 2015
-
Douglas Ulmer
Georgia Institute of TechnologyOct 19-24, 2015
-
Anthony Varilly-Alvarado
Rice UniversityOct 19-24, 2015
-
Marie-France Vigneras
Institut de Mathématiques de JussieuSep 9-Dec 4, 2015
-
Christelle Vincent
University of VermontSep 9-Dec 4, 2015
-
Bianca Viray
University of WashingtonOct 19-24, 2015
-
John Voight
Dartmouth CollegeSep 9-Dec 4, 2015
-
Siddhesh Wagh
University of OklahomaSep 28-Oct 2, 2015
-
James Weigandt
Purdue UniversitySep 9-Dec 4, 2015
-
Stefan Wewers
Universität UlmSep 9-Dec 4, 2015
-
Ursula Whitcher
University of Wisconsin-Eau ClaireOct 19-24, 2015
-
Tian An Wong
City University of New York (CUNY) Graduate CenterNov 9-13, 2015
-
Yifan Yang
National Chiao Tung UniversitySep 9-Dec 4, 2015
-
Tonghai Yang
University of WisconsinSep 28-Oct 2, 2015
-
Matthew Young
Texas A&MNov 9-13, 2015
-
David Yuen
Lake Forest CollegeSep 9-Dec 4, 2015
-
Noriko Yui
Queen's UniversityOct 19-24, 2015
-
Fan Zhou
Ohio State UniversityNov 9-13, 2015
-
David Zywina
Cornell UniversitySep 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
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 1:30pm EDT | Check-In | 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 | 5-minute Graduate student introductions - Benjamin Breen, Dartmouth College | 11th Floor Lecture Hall | |
11:35 - 11:40am EDT | 5-minute Graduate student introductions - William Chen, Penn State | 11th Floor Lecture Hall | |
11:40 - 11:45am EDT | 5-minute Graduate student introductions - Seoyoung Kim, Brown University | 11th Floor Lecture Hall | |
11:45 - 11:50am EDT | 5-minute Graduate student introductions - Watson Ladd, UC Berkeley | 11th Floor Lecture Hall | |
11:50 - 11:55am EDT | 5-minute Graduate student introductions - David Lowry-Duda, 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 | 5-minute Graduate student introductions - Jolanta Marzec, University of Bristol | 11th Floor Lecture Hall | |
3:05 - 3:10pm EDT | 5-minute Graduate student introductions - Samuel Schiavone, Dartmouth College | 11th Floor Lecture Hall | |
3:10 - 3:15pm EDT | 5-minute Graduate student introductions - Alok Shukla, University of Oklahoma | 11th Floor Lecture Hall | |
3:15 - 3:20pm EDT | 5-minute Graduate student introductions - Long Tran, University of Oklahoma | 11th Floor Lecture Hall | |
3:20 - 3:25pm EDT | 5-minute 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 | 10-minute Postdoc introduction - Olga Balkanova, ICERM Semester Postdoc | 11th Floor Lecture Hall | |
2:10 - 2:20pm EDT | 10-minute Postdoc introduction - Sandro Bettin, ICERM Semester Postdoc | 11th Floor Lecture Hall | |
2:20 - 2:30pm EDT | 10-minute Postdoc introduction - Edgar Costa, ICERM Semester Postdoc | 11th Floor Lecture Hall | |
2:30 - 2:40pm EDT | 10-minute 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 | 10-minute Postdoc introduction - James Weingandt, ICERM Institute Postdoc | 11th Floor Lecture Hall | |
3:00 - 3:10pm EDT | 10-minute 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 | L-functions: 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 Peer-to-Peer 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 | L-functions - 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 Peer-to-Peer 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 | L-functions 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 L-functions 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 p-adic 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 L-functions 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 - Marie-France 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 large-scale 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 | Sato-Tate 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
L-functions: 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, 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.
- Matija Kazalicki, Daniela Kohen, Supersingular zeros of divisor polynomials of elliptic curves of prime conductor, Research in the Mathematical Sciences 4 (2016), 1-15.
- Michel B{\"o}rner, Irene I. Bouw, Stefan Wewers, The Functional Equation for L-Functions of Hyperelliptic Curves, Experimental Mathematics 26 (2017), 396 - 411.
- John Cremona, The L-Functions 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 Khuri-Makdisi, 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, Fang-Ting Tu, A cubic transformation formula for Appell–Lauricella hypergeometric functions over finite fields, Research in Number Theory 4 (2017), 1-27.
- Duncan A. Buell, Gregory S. Call, Class pairings and isogenies on elliptic curves, J. Number Theory 167 (2016), 31--73.
- 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, Eta-quotients 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), 47-66.
- 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.
- Fang-Ting Tu, Yifan Yang, Evaluation of Certain Hypergeometric Functions over Finite Fields, Symmetry, Integrability and Geometry: Methods and Applications (2018).
- Sharon Frechette, Holly Swisher, Fang-Ting Tu, A cubic transformation formula for Appell–Lauricella hypergeometric functions over finite fields, Research in Number Theory 4 (2017), 1-27.
- Jennifer S. Balakrishnan, Sorina Ionica, Kristin Lauter, Christelle Vincent, Constructing genus-3 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 L-FUNCTIONS 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), 207-244.
- Alejandro Argáez-García, 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), 78-95.
- John W. Jones, David P. Roberts, Artin L-functions of small conductor, Research in Number Theory 3 (2016), 1-33.
- Ralf Schmidt, Archimedean aspects of Siegel modular forms of degree 2, Rocky Mountain J. Math. 47 (2017) no. 7, 2381--2422.
- O. Balkanova, D. Frolenkov, A uniform asymptotic formula for the second moment of primitive L-functions on the critical line, Proceedings of the Steklov Institute of Mathematics 294 (2016), 13-46.
- Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight, Dan Yasaki, A database of genus-2 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, Non-vanishing of automorphic L-functions of prime power level, Monatshefte f{\"u}r Mathematik 185 (2016), 17-41.
- 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), 911-926.
- Matija Kazalicki, Daniela Kohen, On a special case of Watkins' conjecture, arXiv 1611.05671 (2016).
- Sandro Bettin, Chantal David, Christophe Delaunay, Non-isotrivial elliptic surfaces with non-zero 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), 57-82.
- 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 zeta-function, 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.