
THEMATIC PROGRAMS 

October 25, 2014  
Thematic Program on the Foundations of Computational Mathematics JulyDecember, 2009November 16  21, 2009

Zin Arai (Hokkaido) 
Igor Pak (UCLA) Roland Roeder (SUNY Stony Brook) Saul Schleimer (Warwick) Richard Schwartz (Brown) Carles Simó (Universidad de Barcelona) Sergei Tabachnikov (Pennsylvania State) Morwen Thistlethwaite (Tennessee) Dylan Thurston (Barnard College,Columbia ) Warwick Tucker (Uppsala ) Shmuel Weinberger (Chicago) Daniel Wilczak (Bergen) Yosef Yomdin (Weizmann Institute) Piotr Zgliczynski (Jagiellonian) * may be confirmed 
Monday November 16, 2009  
8:459:00 am  Welcome and Introduction Fields Director and Workshop Organizers 
9:0010:00  Shmuel Weinberger (Chicago) Persistent homology of data, loop spaces, and landscapes 
10:0011:00  Herbert Edelsbrunner (Duke University) Measuring with algebra 
11:001:00 pm  Lunch Break 
1:002:00  Svetlana Katok (Pennsylvania State University) Reduction theory and coding of geodesics on the modular surface 
2:003:00  Piotr Zgliczynski (Jagiellonian University) Heteroclinic connections between fixed points for KuramotoSivashinki PDE, a computer assisted proof 
3:004:00  Break 
4:005:00  Ilia Binder (Toronto) Walk on Sphere algorithm and boundary geometry 
5:006:00  Reception Fields Atrium 
Tuesday November 17, 2009  
9:0010:00am  Morwen Thistlethwaite (Tennessee) The exact computation of some representation varieties 
10:0011:00  Warwick Tucker (Uppsala) A rigorous lower bound for the stability regions of the quadratic map 
11:001:00  Lunch Break 
1:00 2:00  Yosef Yomdin (The Weizmann Institute of Science) I. CenterFocus Problem for Abel equation, Moment vanishing, Compositions, and Mathieu and Zhao conjectures 
2:003:00  Igor Pak (UCLA) Acute triangulations of polytopes 
3:004:00  Break 
4:005:00  Sergei Tabachnikov (Penn
State University) Pentagrama Myrificum, Old wine into new wineskins 
Wednesday November 18, 2009  
9:0010:00  Dylan Thurston (Barnard College, Columbia) Rigidity of Graphs 
10:0011:00  Roland Roeder (SUNY Stony Brook) Computing arithmetic invariants for hyperbolic reflection groups 
11:001:00  Break 
1:002:00  Stefano Luzzatto (International Centre for
Theoretical Physics, ICTP) Deciding the undecidable: Probabilistic arguments versus finite resolution dynamics 
2:003:00  Carles Simó (Universidad de Barcelona) The role of Dynamical Systems in Celestial Mechanics.Applications to Astronomy and Astrodynamics 
Thursday November 19, 2009  
9:0010:00  Zin Arai (Hokkaido University) Rigorous verification of uniform hyperbolicity, subshifts of finite type and the pruning front 
10:0011:00  Carlos Beltran (Universidad de Cantabria) A difficult minimization problem: the distribution of points in the sphere 
11:001:00  Lunch Break 
1:002:00  Joel Hass (University of California, Davis) Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle 
2:003:00  Yosef Yomdin (The Weizmann Institute of Science) II. "Algebraic" reconstruction of Signals and Images from Fourier Data 
3:004:00  Break 
4:005:00  Pat Hooper (Northwestern University) Billiards in nearly isosceles triangles 
Friday November 20, 2009  
9:0010:00  Daniel Wilczak (University of Bergen) Rigorous numerics for homoclinic tangencies 
10:0011:00  Saul Schleimer (University of Warwick) Twister: building triangulations of surface bundles 
11:00  1:00  Break 
1:00  2:00  Richard Schwartz (Brown University) Polygonal Outer Billiards 
2:003:00  Nathan Dunfield (Illinois) Practical solutions to hard problems in 3dimensional topology 
3:003:30  Break 
3:304:30  Martin Berz (Michigan State) tba 
Saturday November 21, 2009  
10:0011:00  Mark Braverman (Microsoft Research) Computability and Complexity of Julia Sets 
11:0012:00 
Dror BarNatan (Toronto) 
Full Name  University/Affiliation 
Amelunxen, Dennis  Universität Paderborn 
Andrews, Rob  (no affiliation) 
Arai, Zin  Hokkaido University 
Armentano, Diego  Universidad de la República 
BarNatan, Dror  University of Toronto 
Beltrán, Carlos  Universidad de Cantabria 
Berz, Martin  Michigan State University 
Binder, Ilia  University of Toronto 
Braverman, Mark  Microsoft Research 
Briquel, Irénée  Ecole Normale Supérieure de Lyon 
Conidis, Chris  University of Waterloo 
Coons, Michael J.  Simon Fraser University 
Cucker, Felipe  City University of Hong Kong 
Dedieu, JeanPierre  Université de Toulouse 
Dunfield, Nathan  University of Illinois at UrbanaChampaign 
Edelsbrunner, Herbert  IST Austria 
Franklin, Johanna  National University of Singapore 
Fraser, Maia  University of Chicago 
Grenet, Bruno  Ecole Normale Supérieure de Lyon 
Grigo, Alexander  Georgia Institute of Technology 
Ha Quang, Minh  Humboldt University 
Halevy, Itamar  
Hammerlindl, Andy  The Fields Institute 
Hass, Joel  University of California, Davis 
Hauenstein, Jonathan  University of Notre Dame 
Hooper, Patrick  Northwestern University 
Hooper, William  Northwestern University 
Huerfano, Stella  National University of Colombia 
Johnson, Tomas  Uppsala University 
Katok, Svetlana  Pennsylvania State University 
Kenny, Robert  University of Western Australia 
Khanin, Konstantin  University of Toronto 
Kim, Andrew  University of Toronto 
Koiran, Pascal  ENS Lyon 
Krick, Teresa  Universidad de Buenos Aires 
Li, TienYien  Michigan State University 
Luzzatto, Stefano  International Centre for Theoretical Physics (ICTP) 
Makino, Kyoko  Michigan State University 
Nabutovsky, Alexander  University of Toronto 
Newhouse, Sheldon  Michigan State University 
Nobakhtian, Soghra  University of Isfahan 
Pak, Igor  University of California, Los Angeles 
Pang, Chin How Jeffrey  Cornell University 
Parlier, Hugo  University of Toronto 
Portier, Natacha  ENS Lyon 
Rej, Abhijnan  Fields Institute 
Renegar, James  Cornell University 
Roeder, Roland  SUNY Stony Brook 
Rojas, Cristóbal  IML 
Sadri, Bardia  University of Toronto 
Schleimer, Saul  University of Warwick 
Schwartz, Richard  Brown University 
Sethuraman, Swaminathan  Fields Institute 
Shub, Michael  University of Toronto 
Simó, Carles  Universidad de Barcelona 
Sudarsandhari Shibani, Wilson  EPFL 
Tabachnikov, Sergei  Penn State University 
Tan, Ser Peow  National University of Singapore 
Thistlethwaite, Morwen  University of Tennessee 
Thurston, Dylan  Barnard College, Columbia University 
Todd, Michael J.  Cornell University 
Tucker, Warwick  Uppsala University 
Ulgen Yildirim, Semail  Northwestern University 
Weinberger, Shmuel  University of Chicago 
Wilczak, Daniel  Jagiellonian University and Uppsala Universitet 
Wittig, Alexander  Michigan State University 
Yampolsky, Michael  University of Toronto 
Yomdin, Yosef  The Weizmann Institute of Science 
Young, Robert  Institut des Hautes Etudes Scientifiques 
Zgliczynski, Piotr  Jagiellonian University 
Zuev, Konstantin  Lomonosov Moscow State University 
Apply to the Program:
All scientific events are open to the mathematical sciences community.
Visitors who are interested in office space or funding are
requested to apply by filling out the application
form. Additional support is available (pending NSF funding)
to support junior US visitors to this program. Fields scientific
programs are devoted to research in the mathematical sciences, and
enhanced graduate and postdoctoral training opportunities. Part
of the mandate of the Institute is to broaden and enlarge the community,
and to encourage the participation of women and members of visible
minority groups in our scientific programs.
For additional information contact thematic(PUT_AT_SIGN_HERE)fields.utoronto.ca