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.

Organizers gathered workshop participants' input on objects from geometry and topology that they would like to see visualized. The list has been transcribed and made available here: cs.cmu.edu/~kmcrane/VisualizationChallenges

Image for "Illustrating Geometry and Topology"
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
  • Virtual Attendee

Workshop Schedule

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

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ORCID iD
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Acceptable Costs
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  • Meals or incidentals
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Reimbursement Timing

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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.

Associated Semester Workshops

Illustrating Mathematics
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Math + Art Panel
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Illustrating Number Theory and Algebra
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Illustrating Dynamics and Probability
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Lecture Videos

Chasing Cannon-Thurston

Saul Schleimer
University of Warwick
September 20, 2019

Illustrating Infinity

Curtis McMullen
Harvard University
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