Organizing Committee
Abstract

The theory, algorithms, and software of linear algebra are familiar tools across mathematics, the applied sciences, and engineering. This ubiquity of linear algebra masks a fairly recent growth of nonlinear algebra in mathematics and its applications to other disciplines. The proliferation of nonlinear algebra has been fueled by recent theoretical advances, efficient implementations of core algorithms, and an increased awareness of these tools.

The benefits of this nonlinear theory and its tools are manifold. Pushing computational boundaries has led to the development of new mathematical theories, such as homotopy methods for numerical algebraic geometry, tropical geometry and toric deformations, and sums of squares methods for polynomial optimization. This uncovered many concrete nonlinear mathematical objects and questions, many of which are ripe for computer experimentation. In turn, resulting mathematical breakthroughs often lead to more powerful and efficient algorithms for computation.

This semester will work towards a time when ideas of nonlinear algebra, its theory, methods, and software are as ubiquitous as those of linear algebra.

Confirmed Speakers & Participants

Visit dates listed on the participant list may be tentative and subject to change without notice.

Semester Schedule

Wednesday, September 5, 2018
TimeEventLocationMaterials
8:30 - 8:45Check-In/Registration11th Floor Lecture Hall 
8:45 - 9:00ICERM Welcome - Brendan Hassett and ICERM staff  
9:00 - 10:00TBD - Frank Sottile, Texas A&M University11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break  
10:30 - 11:30TBD - Diane Maclagan, University of Warwick11th Floor Lecture Hall 
11:30 - 1:00Brainstorming Groups - forming questions for afternoon - lunch provided11th Floor 
1:00 - 2:00Q&A11th Floor Lecture Hall 
2:00 - 3:00Group or Individual Work  
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Group or Individual Work  
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Thursday, September 6, 2018
TimeEventLocationMaterials
9:00 - 10:00TBD - Cynthia Vinzant, North Carolina State11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break  
10:30 - 11:30TBD - Diego Cifuentes, MIT11th Floor Lecture Hall 
11:30 - 1:00Break for Lunch  
1:00 - 2:00Q&A11th Floor Lecture Hall 
2:00 - 3:00Group or Individual Work  
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Group of Individual Work  
Friday, September 7, 2018
TimeEventLocationMaterials
10:00 - 12:00Solutions from Groups and Other Discussion11th Floor Lecture Hall 
12:00 - 2:00Break for Lunch/Free Time  
2:00 - 3:00Group or Individual Work  
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Group of Individual Work  
Monday, September 10, 2018
TimeEventLocationMaterials
9:00 - 10:00TDB - Jonathan Hauenstein, University of Notre Dame11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break  
10:30 - 11:30TDB - Danielle Brake, University of Wisconsin Eau Claire11th Floor Lecture Hall 
11:30 - 1:00Brainstorming Groups - forming questions for afternoon - lunch provided11th Floor 
1:00 - 2:00Q&A11th Floor Lecture Hall 
2:00 - 3:00Group or Individual Work  
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Group of Individual Work  
Tuesday, September 11, 2018
TimeEventLocationMaterials
9:00 - 10:00TDB - Thomas Kahle, Otto-von-Guericke Unversität11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break  
10:30 - 11:30TDB - Elina Robeva, MIT11th Floor Lecture Hall 
11:30 - 1:00Break for Lunch  
1:00 - 2:00Q&A11th Floor Lecture Hall 
2:00 - 3:00Group or Individual Work  
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Group of Individual Work  
Wednesday, September 12, 2018
TimeEventLocationMaterials
10:00 - 12:00Solutions from Groups and Other Discussion11th Floor Lecture Hall 
12:00 - 2:00Break for Lunch/Free Time  
2:00 - 3:00Group or Individual Work  
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Group of Individual Work  
Thursday, September 13, 2018
TimeEventLocationMaterials
9:30 - 10:00Graduate Student Introductions11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:30Graduate Student Introductions11th Floor Lecture Hall 
11:30 - 2:00Break for Lunch/Free time  
3:30 - 4:00Coffee/Tea Break  
Friday, September 14, 2018
TimeEventLocationMaterials
9:00 - 10:00Postdoc Introductions11th Floor Lecture Hall 
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Postdoc Introductions11th Floor Lecture Hall 
11:30 - 2:00Break for Lunch/Free time  
3:00 - 4:00Mentoring Tea11th Floor Collaborative Space 
Friday, September 21, 2018
TimeEventLocationMaterials
5:00 - 8:00AGNES Conference at Brown University 
Saturday, September 22, 2018
TimeEventLocationMaterials
9:00 - 5:00AGNES Conference at Brown University 
Sunday, September 23, 2018
TimeEventLocationMaterials
9:00 - 5:00AGNES Conference at Brown University 

Application Information

ICERM welcomes applications from faculty, postdocs, graduate students, industry scientists, and other researchers who wish to participate in one of our semester-long programs. Some funding may be available for travel and lodging. Applications will be accepted up until the start of the semester program and will be considered as long as funds and space are available.

Any graduate student who applies should have research interests that relate to the program topic; a statement of support from the advisor is required. In addition, graduate students will only be considered if they can remain in-residence for a minimum of six weeks.

Applications are not currently open. Please check back at a later date.

Postdoctoral Fellowships

Interested in applying for a salaried postdoc position for this program? Applications are accepted via Mathjobs.org (search under “B” for Brown University/ICERM) between June and December in the year prior to the program’s start date.

Your Visit to ICERM

ICERM Facilities
ICERM is located on the 10th & 11th floors of 121 South Main Street in Providence, Rhode Island. ICERM's business hours are 8:30am - 5:00pm during this event. See our facilities page for more info about ICERM and Brown's available facilities.
Traveling to ICERM
ICERM is located at Brown University in Providence, Rhode Island. Providence's T.F. Green Airport (15 minutes south) and Boston's Logan Airport (1 hour north) are the closest airports. Providence is also on Amtrak's Northeast Corridor. In-depth directions and transportation information are available on our travel page.
Lodging/Housing
Visiting ICERM for longer than a week-long workshop? ICERM staff works with participants to locate accommodations that fit their needs. Since short-term furnished housing is in very high demand, take advantage of the housing options ICERM may recommend. Contact housing@icerm.brown.edu for more details.
Childcare/Schools
Those traveling with family who are interested in information about childcare and/or schools should contact housing@icerm.brown.edu.
Family Support
With a recent gift from Microsoft Research, we are pleased to announce that there are fellowships available to assist in defraying dependent care costs. A separate application for this fellowship will be provided to those that have accepted an invitation to participate in an NSF-funded research program. Fellowship decisions will be made based on the justification and the availability of funds.
Technology Resources
Wireless internet access and wireless printing is available for all ICERM visitors. Eduroam is available for members of participating institutions. Thin clients in all offices and common areas provide open access to a web browser, SSH terminal, and printing capability. See our Technology Resources page for setup instructions and to learn about all available technology.
Discrimination and Harassment Policy
ICERM is committed to creating a safe, professional, and welcoming environment that benefits from the diversity and experiences of all its participants. The Brown University "Discrimination and Workplace Harassment Policy" applies to all ICERM participants and staff. Participants with concerns or requests for assistance on a discrimination or harassment issue should contact the ICERM Director, who is the responsible employee at ICERM under this policy.
Exploring Providence
Providence's world-renowned culinary scene provides ample options for lunch and dinner. Neighborhoods near campus, including College Hill Historic District, have many local attractions. Check out the map on our Explore Providence page to see what's near ICERM.

Visa Information

Contact visa@icerm.brown.edu for assistance.

Need a US Visa?
J-1 visa requested via ICERM staff
Reimbursable
B-1 or Visa Waiver Business (WB) –if you already have either visa – contact ICERM staff for a visa specific invitation letter.
Not Reimbursable
B-2 or Visa Waiver Tourist (WT)
Already in the US?

F-1 and J-1 not sponsored by ICERM: obtain a letter approving reimbursement from the International Office of your home institution PRIOR to travel.

H-1B holders do not need letter of approval.

All other visas: alert ICERM staff immediately about your situation.

Financial Support

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
  • 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.

Associated Semester Workshops

Nonlinear Algebra Bootcamp
Core Computational Methods
Real Algebraic Geometry and Optimization
Nonlinear Algebra in Applications