Organizing Committee
Abstract

Applications closed. Workshop is at capacity.

This workshop will focus on the interaction between visualization, computer experiment, and theoretical advances in all areas of research in geometry and topology. Fruitful interactions of this type have a long history in the field, with physical models and computer images and animations providing both illustration of existing work and inspiration for new developments. Emerging visualization technologies, such as virtual reality, are poised to further increase the tools available for mathematical illustration and experimentation. By bringing together expert practitioners of mathematical visualization techniques and researchers interested in incorporating such tools into their research, the workshop will give participants a clear picture of the state of the art in this fast-moving field while also fostering new collaborations and innovations in illustrating geometry and topology.

This workshop is partially funded by the Alfred P. Sloan Foundation award G-2019-11406 and supported by a Simons Foundation Targeted Grant to Institutes.

Obstructions to regular homotopy in smooth and polyhedral surfaces.
Image credit: Albert Chern, Ulrich Pinkall and Peter Schröder.

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee

Workshop Schedule

Monday, September 16, 2019
TimeEventLocationMaterials
8:30 - 8:55Registration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45Non-Euclidean Virtual Reality - Sabetta Matsumoto, Georgia Tech11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Adventures with the GPU - Roice Nelson, GE Aviation11th Floor Lecture Hall
11:30 - 12:15Geometric Expression - Tools for Visual Mathematics - Elissa Ross, MESH Consultants11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Non-Euclidean Pool - Jeff Weeks, freelance geometer11th Floor Lecture Hall
3:30 - 4:15What does a torus look like? - Steve Trettel, Stanford University11th Floor Lecture Hall
4:30 - 6:00Welcome Reception11th Floor Collaborative Space 
6:00 - 7:00Math + Art Panel11th Floor Lecture Hall 
Tuesday, September 17, 2019
TimeEventLocationMaterials
9:00 - 9:45Illustrating 3-Dimensional Topology and Geometry - Nathan Dunfield, University of Illinois11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15From Thurston's Corrugations to Smooth Fractals - Vincent Borrelli, Institut Camille Jordan, University of Lyon11th Floor Lecture Hall
11:30 - 12:15Circle Packing Beauties - Kenneth Stephenson, University of Tennessee11th Floor Lecture Hall
12:30 - 2:00Break for Lunch / Free Time  
2:00 - 2:45Visualizing the Design - Danny Calegari, University of Chicago11th Floor Lecture Hall
3:00 - 3:45Surfaces, Puzzles, and Moduli Spaces - Hugo Parlier, University of Luxembourg11th Floor Lecture Hall
4:00 - 5:00Poster Session and Coffee/Tea Break10th Floor Collaborative Space 
7:00 - 8:30Math Film Show - Charles Gunn, Raum+Gegenraum11th Floor Lecture Hall
Wednesday, September 18, 2019
TimeEventLocationMaterials
9:00 - 9:45The Impact of Visualization on Differential Geometry and Topology - Ulrich Pinkall, TU Berlin11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Physical “Illustrations” of Knot Deformations and Surface Eversions - Carlo Sequin, University of California, Berkeley11th Floor Lecture Hall
11:30 - 12:15Some Unconventional Geometric Optics - Matt Brand, Zintaglio Arts LLC & MERL11th Floor Lecture Hall
12:30 - 12:40Workshop Group Photo  
12:40 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Geometric Algebra for Cayley-Klein Spaces - An Exciting New (Old) Tool - Charles Gunn, Raum+Gegenraum11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
6:30 - 7:30Q&A session on Rhino and Grasshopper - Rajaa Issa, Robert McNeel & Associates11th Floor Lecture Hall 
Thursday, September 19, 2019
TimeEventLocationMaterials
9:00 - 9:45Shape from Metric - Albert Chern, TU Berlin11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15TBA - Jesse Louis-Rosenberg & Jessica Rosenkrantz, Nervous System11th Floor Lecture Hall 
11:30 - 12:15Illustrating String Theory Using Fermat Surfaces - Andrew Hanson, Indiana University, Bloomington11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Inscribing Rectangles in Jordan Loops - Rich Schwartz, Brown University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Chasing Puppies - Jeff Erickson, University of Illinois at Urbana-Champaign11th Floor Lecture Hall
Friday, September 20, 2019
TimeEventLocationMaterials
9:00 - 9:45On Polysemous Mathematical illustration - Robert Ghrist, University of Pennsylvania11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Penrose - Turning Mathematical Notation into Beautiful Diagrams - Katherine Ye, Carnegie Mellon University11th Floor Lecture Hall
11:30 - 12:15Geometry of Random Stepped Surfaces - Richard Kenyon, Yale University11th Floor Lecture Hall
12:30 - 2:00Break for Lunch / Free Time  
2:00 - 2:45Illustrating Infinity - Curtis McMullen, Harvard University11th Floor Lecture Hall
3:00 - 3:45Chasing Cannon-Thurston - Saul Schleimer, University of Warwick11th Floor Lecture Hall
4:00 - 4:30Coffee/Tea Break11th Floor Collaborative Space 

Request 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.

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Lecture Videos

Chasing Cannon-Thurston

Saul Schleimer
University of Warwick
September 20, 2019

Geometry of Random Stepped Surfaces

Richard Kenyon
Yale University
September 20, 2019

On Polysemous Mathematical Illustration

Robert Ghrist
University of Pennsylvania
September 20, 2019

Chasing Puppies

Jeff Erickson
University of Illinois at Urbana-Champaign
September 19, 2019

Inscribing Rectangles in Jordan Loops

Richard Schwartz
Brown University
September 19, 2019

Illustrating String Theory Using Fermat Surfaces

Andrew Hanson
Indiana University, Bloomington
September 19, 2019

Nervous System

Jesse Louis-Rosenberg
Nervous System
Jessica Rosenkrantz
Nervous System
September 19, 2019

Shape from Metric

Albert Chern
Technische Universität Berlin
September 19, 2019

Surfaces, Puzzles, and Moduli Spaces

Hugo Parlier
University of Luxembourg
September 17, 2019

Visualizing the Design

Danny Calegari
University of Chicago
September 17, 2019

Circle Packing Beauties

Kenneth Stephenson
University of Tennessee
September 17, 2019

From Thurston's Corrugations to Smooth Fractals

Vincent Borrelli
Institut Camille Jordan
September 17, 2019

Illustrating 3-dimensional topology and geometry

Nathan Dunfield
University of Illinois, Urbana-Champaign
September 17, 2019

What does a torus look like?

Steve Trettel
Stanford University
September 16, 2019

Non-Euclidean Pool

Jeff Weeks
Geometry Games
September 16, 2019

Adventures with the GPU

Roice Nelson
GE Aviation
September 16, 2019