This workshop will be offered virtually. The in-person meeting has been cancelled due to the COVID-19 outbreak. A schedule for virtual talks will be posted soon. Accepted participants will be notified how to access the virtual presentations. All other interested parties can view the talks via live-stream.
Organizing Committee
Abstract

In the last decade, there have been several important breakthroughs in Number Theory, where progress on long-standing open problems has been achieved by utilizing ideas originated in the theory of dynamical systems on homogeneous spaces, and their application to lattice point counting and distribution.

The aim of this workshop is to expose young researchers to these fields and provide them with the necessary background from dynamics, number theory, and geometry to allow them to appreciate some of the recent advancements, and prepare them to make new original contributions.

The workshop will include four mini-courses on the topics

1) Dynamics and lattice point counting 2) Thermodynamic formalism 3) Diophantine approximation 4) Fine-scale statistics in number theory and dynamics

In addition, there will be a number of research and expository talks. The talks will emphasize the role that computation and experiment have thus far played in stating key conjectures and establishing key results.

The mini-courses will be aimed primarily at non-experts and will benefit graduate students and early career researchers in related areas, who are particularly encouraged to apply to participate in the workshop.

This workshop is partially supported by NSF CAREER award DMS-1651563

Please register through Cube by June 14 if you'd like to participate in this virtual event. Graduate students need not submit letters of recommendation with their applications.

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Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee
  • Faustin Adiceam
    University of Manchester
  • Elie Alhajjar
    US Military Academy
  • Demi Allen
    University of Bristol
  • Daniel Altman
    Oxford
  • Jayadev Athreya
    University of Washington
  • Simon Baker
    University of Birmingham
  • Olga Balkanova
    Steklov Mathematical Institiute
  • Claire Burrin
    Rutgers University
  • Horace Chaix
    ETH Zurich
  • Yuanyang Chang
    Wuhan University of Technology
  • Changhao Chen
    The Chinese University of Hong Kong
  • Rex Cheung
    Yale
  • Yitwah Cheung
    Tsinghua University
  • Jaehyun Cho
    Ulsan National Institute of Science and Technology (UNIST)
  • Sam Chow
    University of Warwick
  • Emilio Corso
    ETH Zürich
  • Tushar Das
    University of Wisconsin - La Crosse
  • Semyon Dyatlov
    MIT
  • Samuel Edwards
    Yale University
  • Daniel El-Baz
    TU Graz
  • Samantha Fairchild
    University of Washington
  • Zhou Feng
    Chinese University of Hong Kong
  • Damir Ferizovic
    Graz University of Technology
  • Tatiana Firsova
    Kansas State University
  • David Fisher
    Indiana University
  • Reynold Fregoli
    Royal Holloway University of London
  • Dmitry Frolenkov
    Steklov Mathematical institute of RAS
  • Louis Gaudet
    Rutgers University
  • Tangli Ge
    Brown University
  • Maila Hallare
    Norfolk State University
  • Jiyoung Han
    Seoul National University
  • Worapan Homsomboon
    Oregon State University
  • Ian Hoover
    Boston College
  • Kevin Hughes
    University of Bristol
  • Mumtaz Hussain
    La Trobe university
  • Edna Jones
    Rutgers, The State University of New Jersey
  • Alexander Karlovitz
    Rutgers University
  • Asaf KATZ
    University of Chicago
  • Dubi Kelmer
    Boston College
  • Osama Khalil
    University of Utah
  • Ken Kim
    LLNL University of California
  • Maxim Kirsebom
    University of Hamburg
  • Dmitry Kleinbock
    Brandeis University
  • Aleksandr Kolpakov
    University of Neuchâtel
  • Alex Kontorovich
    Rutgers University
  • Philipp Kunde
    Pennsylvania State University
  • Sanghoon Kwon
    Catholic Kwandong University
  • Min Lee
    University of Bristol
  • Homin Lee
    Indiana University Bloomington
  • Lingmin Liao
    University Paris-East Creteil
  • Lucy Lifschitz
    University of Oklahoma
  • Seonhee Lim
    Seoul national university
  • Elon Lindenstrauss
    Hebrew University of Jerusalem
  • Hao Liu
    Brown University
  • Nicole Looper
    Brown University
  • Caiyun Ma
    CUHK
  • Keivan Mallahi-Karai
    Jacobs University
  • Jens Marklof
    University of Bristol
  • Antoine Marnat
    University of Vienna
  • Keith Merrill
    Brandeis
  • Yulia Meshkova
    University of Helsinki
  • Victor Miller
    IDA Center for Communications Research
  • Shahriar Mirzadeh
    Michigan State UNiversity
  • Amir Mohammadi
    UC San Diego
  • Hamid Naderiyan
    University of North Texas
  • Erez Nesharim
    Tel Aviv university
  • Brooke Ogrodnik
    Rutgers University
  • Andre Oliveira
    Wesleyan University
  • Wenyu Pan
    University of Chicago
  • Lam Pham
    Brandeis University
  • Anke Pohl
    University of Bremen
  • Mark Pollicott
    Warwick University
  • Anurag Rao
    Brandeis University
  • Andre Reznikov
    Bar-Ilan University
  • René Rühr
    Technion
  • NOUSSAIBA SAADOUDI
    UMBB & USTHB
  • Anthony Sanchez
    University of Washinton
  • Cagri Sert
    University of Zurich
  • Sunrose Shrestha
    Tufts University
  • Lior Silberman
    University of British Columbia
  • Mishel Skenderi
    Brandeis University
  • Yotam Smilansky
    Rutgers University
  • Josh Southerland
    University of Washington
  • Matthew Stover
    Temple University
  • Andreas Strömbergsson
    Uppsala University
  • Diaaeldin Taha
    n/a
  • Nattalie Tamam
    University of California, San Diego
  • Ha Tran
    Concorida University of Edmonton
  • Jimmy Tseng
    University of Exeter
  • Bena Tshishiku
    Brown University
  • Polina Vytnova
    University of Warwick
  • Baowei Wang
    Huazhong University of Science and Technology
  • Igor Wigman
    King's College London
  • Michael Wijaya
    Bard High School Early College (Queens)
  • Lei Yang
    Sichuan University
  • cemre yavuz
    BOSTON COLLEGE
  • Shucheng Yu
    Technion - Israel Institute of Technology
  • Xin Zhang
    The University of Hong Kong
  • Han Zhang
    The Ohio State University

Workshop Schedule

Monday, June 22, 2020
TimeEventLocationMaterials
9:50 - 10:00am EDTWelcome - ICERM Director  
10:00 - 10:45am EDTMini-Course I - Metric diophantine approximation, old and new - Seonhee Lim, Seoul National University 
11:00 - 11:15am EDT"Make Your Own Coffee" Break  
11:15 - 12:00pm EDTMini-Course I - Fine-scale statistics in number theory, geometry and dynamics - Jens Marklof, University of Bristol 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTMini-Course I - Dynamics and lattice point counting - Dubi Kelmer, Boston College 
2:30 - 2:45pm EDT"Make Your Own Coffee" Break  
2:45 - 3:30pm EDTCounting Tripods on the Torus - Jayadev Athreya, University of Washington 
Tuesday, June 23, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTMini-Course II - Fine-scale statistics in number theory, geometry and dynamics - Jens Marklof, University of Bristol 
11:00 - 11:15am EDT"Make Your Own Coffee" Break  
11:15 - 12:00pm EDTMini-Course I - An introduction to fractal uncertainty principle - Semyon Dyatlov, Massachusetts Institute of Technology 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTMini-Course II - Dynamics and lattice point counting - Dubi Kelmer, Boston College 
2:30 - 2:45pm EDT"Make Your Own Coffee" Break  
2:45 - 3:30pm EDTGeodesic planes in hyperbolic 3-manifolds - Amir Mohammadi, UCSD 
3:45 - 4:30pm EDTProblem Session 
Wednesday, June 24, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTMini-Course II - Metric diophantine approximation, old and new - Seonhee Lim, Seoul National University 
11:00 - 11:15am EDT"Make Your Own Coffee" Break  
11:15 - 12:00pm EDTMini-Course III - Fine-scale statistics in number theory, geometry and dynamics - Jens Marklof, University of Bristol 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTMini-Course II - An introduction to fractal uncertainty principle - Semyon Dyatlov, Massachusetts Institute of Technology 
2:30 - 2:45pm EDT"Make Your Own Coffee" Break  
2:45 - 3:30pm EDTDiscussion Time  
3:45 - 4:30pm EDTHike  
Thursday, June 25, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTMini-Course III - Metric diophantine approximation, old and new - Seonhee Lim, Seoul National University 
11:00 - 11:15am EDT"Make Your Own Coffee" Break  
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTA Dirichlet-type Theorem for Rank 1 Elliptic Curves - Keith Merrill, Brandeis University 
2:30 - 2:45pm EDT"Make Your Own Coffee" Break  
2:45 - 3:30pm EDTExponential mixing of geodesic flow for geometrically finite manifolds with cusps - Wenyu Pan, University of Chicago 
Friday, June 26, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTMini-Course III - An introduction to fractal uncertainty principle - Semyon Dyatlov, Massachusetts Institute of Technology 
11:00 - 11:15am EDT"Make Your Own Coffee" Break  
11:15 - 12:00pm EDTGeometry and dynamics of improvements to Dirichlet's Theorem in Diophantine approximation - Dmitry Kleinbock, Brandeis University 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTThe low-density Lorentz gas in a union of lattices - Andreas Strömbergsson, Uppsala University 
2:30 - 2:45pm EDT"Make Your Own Coffee" Break  

Request Reimbursement

ORCID iD
As this program is funded by the National Science Foundation (NSF), ICERM is required to collect your ORCID iD if you are receiving funding to attend this program. Be sure to add your ORCID iD to your Cube profile as soon as possible to avoid delaying your reimbursement.
Acceptable Costs
  • 1 roundtrip between your home institute and ICERM
  • Flights on U.S. or E.U. airlines – economy class to either Providence airport (PVD) or Boston airport (BOS)
  • Ground Transportation to and from airports and ICERM.
Unacceptable Costs
  • Flights on non-U.S. or non-E.U. airlines
  • Flights on U.K. airlines
  • Seats in economy plus, business class, or first class
  • Change ticket fees of any kind
  • Multi-use bus passes
  • Meals or incidentals
Advance Approval Required
  • Personal car travel to ICERM from outside New England
  • Multiple-destination plane ticket; does not include layovers to reach ICERM
  • Arriving or departing from ICERM more than a day before or day after the program
  • Multiple trips to ICERM
  • Rental car to/from ICERM
  • Flights on a Swiss, Japanese, or Australian airlines
  • Arriving or departing from airport other than PVD/BOS or home institution's local airport
  • 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
Reimbursement Request Form

https://icerm.brown.edu/money/

Refer to the back of your ID badge for more information. Checklists are available at the front desk.

Reimbursement Tips
  • Scanned original receipts are required for all expenses
  • Airfare receipt must show full itinerary and payment
  • ICERM does not offer per diem or meal reimbursement
  • Allowable mileage is reimbursed at prevailing IRS Business Rate and trip documented via pdf of Google Maps result
  • Keep all documentation until you receive your reimbursement!
Reimbursement Timing

6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.

Reimbursement Deadline

Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.

Lecture Videos