This document provides information on programs and opportunities at the Institute for Computational and Experimental Research in Mathematics (ICERM). It lists semester programs in topics like computer vision, mathematics illustration, and computational relativity. It also lists upcoming summer workshops on topics like encrypted search and applied mathematical modeling. The document describes postdoctoral fellowship, student, and early career opportunities at ICERM. It provides details on an upcoming semester program called "Illustrating Mathematics" that brings together mathematicians, artists, and makers to illustrate mathematical ideas using computational tools.

1. ICERM Research
Programs
SEMESTER PROGRAMS
• Computer Vision (Spring 2019)
• Illustrating Mathematics (Fall 2019)
• Model and Dimension Reduction in
Uncertain and Dynamic Systems
(Spring 2020)
• Advances in Computational
Relativity (Fall 2020)
SUMMER WORKSHOPS
• Encrypted Search
• Mathematical Optimization of
Systems Impacted by Rare, High-
Impact Random Events
• Perspectives on Dehn Surgery
SUMMER WORKSHOPS, cont’d
• Women in Symplectic and Contact
Geometry and Topology (WiSCon)
• Women in Data Science and
Mathematics (WiSDM)
• Applied Mathematical Modeling
with Topological Techniques

2. EARLY CAREER
OPPORTUNITIES
• Semester and Institute Postdoctoral
Fellowships
• Professional development seminars
and mentoring for graduate students
and postdocs
• Summer@ICERM undergrad research
ICERM SPECIAL EVENT
•Blackwell-Tapia Conference
and Award Banquet
(November 9 - 10, 2018)
EARLY CAREER
OPPORTUNITIES, cont’d
• Partial support for graduate
students to attend programs
• Poster sessions at every
workshop
Opportunities
at ICERM

3. Illustrating Mathematics
at ICERM
Henry Segerman
Oklahoma State University

4. Illustration
Mathematics

6. A striking feature of the Mandelbrot set M is [the] presence of “babies” inside of itself
which are visually indistinguishable from the set M itself.... To explain this self-similarity
phenomenon, Douady and Hubbard defined a complex renormalization operator. This
operator first allowed them to account for all babies in M, and then grew up into a key
tool of the Renormalization theory, for complex as well as for real systems.
–Mikhail Lyubich

9. Gyroid by Bathsheba Grossman

18. ICERM
(The Institute for Computational and
Experimental Research in Mathematics)

19. ICERM
(The Institute for Computational and
Experimental Research in Mathematics)

20. ICERM
(The Institute for Computational and
Experimental Research in Mathematics)

21. Nonlinear Algebra
Sep 5 - Dec 7, 2018

22. Computer Vision
Feb 4 - May 10, 2018

24. Illustrating Mathematics at ICERM
Sep 4 - Dec 6, 2019
https://icerm.brown.edu/programs/sp-f19/
The Illustrating Mathematics
program brings together
mathematicians, makers, and artists
who share a common interest in
illustrating mathematical ideas via
computational tools.

25. Illustrating Mathematics at ICERM
Sep 4 - Dec 6, 2019
https://icerm.brown.edu/programs/sp-f19/
The goals of the program are to:
• introduce mathematicians to new
computational illustration tools to
guide and inform their research;
• spark collaborations among and
between mathematicians, makers
and artists;
• find ways to communicate
research mathematics to as wide
an audience as possible.

26. https://icerm.brown.edu/programs/sp-f19/
Semester workshops

27. Illustrating Geometry and Topology
Sep 16 - 20, 2019
https://icerm.brown.edu/programs/sp-f19/

28. Illustrating Number Theory and Algebra
Oct 21 - 25, 2019
https://icerm.brown.edu/programs/sp-f19/

29. Illustrating Dynamics and Probability
Nov 11 - 15, 2019
https://icerm.brown.edu/programs/sp-f19/

30. https://icerm.brown.edu/programs/sp-f19/
Seminar courses
3D design tools, e.g. for 3D printing:
OpenSCAD
Rhino 3D
Grasshopper
Virtual/augmented reality systems and programming environments:
HTC Vive
Oculus Rift
WebVR
Unity

31. https://icerm.brown.edu/programs/sp-f19/
Projects and Mentoring
Based on the model of Geometry Labs:
Faculty members and artists-in-residence propose mathematical
illustration or fabrication projects.
Graduate students, post-docs, faculty, makers and artists form
teams that meet throughout the semester to work on projects.
Projects will be documented online and in a planned proceedings
publication.

32. Some recent projects

34. JointworkwithSaulSchleimer

35. Joint work with Vi Hart, Andrea Hawksley and Sabetta Matsumoto
http://h3.hypernom.com
Non-euclidean virtual reality

36. Creating a non-euclidean
virtual world:
1. A model of the space
2. A way to draw points in that space on
the screen
3. A way to move around that space
4. A set of landmarks to help the viewer
navigate that space

37. Joint work with Michael Woodard
http://www.michaelwoodard.net/hypVR-Ray/

38. Joint work with Michael Woodard
http://www.michaelwoodard.net/hypVR-Ray/

39. On your smartphone web browser, go to:
hypernom.com

40. Sphere eversion

47. Thanks!