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Organizing Committee
University of Osnabrück
Royal Institute of Technology, Stockholm
University of Texas at Austin
KTH Royal Institute of Technology
SISSA (International School for Advanced Studies)
ETH Institute for Theoretical Studies
University of Wisconsin-Madison
Harvard University
Abstract
This Semester Program will explore the emerging research field of Metric Algebraic Geometry, which is about the geometry induced by metric and probabilistic structures on sets defined by polynomial equations. The philosophy of this program is that regarding spaces and models as algebraic varieties opens up powerful – notably, global - approaches for problems involving distances and/or approximation.
Instead of viewing spaces through local charts or via simplicial pieces, Metric Algebraic Geometry proposes finding global descriptions. This brings new computational tools to the table to establish strong theoretical properties over the geometric domain. Target applications include the nonlinear function spaces of neural networks, reduced-order models for large datasets, and configuration spaces of cameras or images in computer vision.
The program will develop this area both within pure mathematics and in its applications. Activities will encourage experts in theoretical fields (such as algebraic geometry, differential geometry, and integral geometry) to commingle with experts in application-driven domains (like in machine learning, computer vision, optimization, nonlinear inverse problems and probabilistic modeling) and to all mentor the next generation. The results will set the research agenda for Metric Algebraic Geometry for years to come.
Instead of viewing spaces through local charts or via simplicial pieces, Metric Algebraic Geometry proposes finding global descriptions. This brings new computational tools to the table to establish strong theoretical properties over the geometric domain. Target applications include the nonlinear function spaces of neural networks, reduced-order models for large datasets, and configuration spaces of cameras or images in computer vision.
The program will develop this area both within pure mathematics and in its applications. Activities will encourage experts in theoretical fields (such as algebraic geometry, differential geometry, and integral geometry) to commingle with experts in application-driven domains (like in machine learning, computer vision, optimization, nonlinear inverse problems and probabilistic modeling) and to all mentor the next generation. The results will set the research agenda for Metric Algebraic Geometry for years to come.
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Application Information
ICERM welcomes applications from faculty, postdocs, graduate students, industry scientists, and other researchers who wish to participate. Some funding may be available for travel and lodging. Graduate students who apply must have their advisor submit a statement of support in order to be considered. In addition, graduate students will only be considered if they can remain in-residence for a minimum of six weeks.
ICERM Funding for Fellowships
ICERM has funding available for fellowships to support faculty who attend one of our semester programs. These are often used to cover teaching buyouts so that participants can be in residence throughout a semester program. We welcome requests from those not based at R1 research universities and those based at minority-serving institutions, including HBCUs, HSIs, TCUs, and AAPIs. The standard amount for a full semester is $30,000. Email ICERM’s Director for more information.
ICERM has funding available for fellowships to support faculty who attend one of our semester programs. These are often used to cover teaching buyouts so that participants can be in residence throughout a semester program. We welcome requests from those not based at R1 research universities and those based at minority-serving institutions, including HBCUs, HSIs, TCUs, and AAPIs. The standard amount for a full semester is $30,000. Email ICERM’s Director for more information.
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.
- 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. See our travel page for full directions.
- Lodging/Housing
- Visiting ICERM for longer than a week? ICERM staff helps participants locate suitable accommodations. Contact housing@icerm.brown.edu for details.
- Childcare/Schools
- Those traveling with family can contact housing@icerm.brown.edu for childcare and school information.
- Technology Resources
- Wireless internet access and wireless printing are available for all ICERM visitors. Eduroam is supported. Thin clients provide access to web browsers, SSH terminals, and printing. See our Technology Resources page for setup info.
- Accessibility
- For special services, accommodations, or assistance, please contact accessibility@icerm.brown.edu in advance. Thank you.
- Discrimination and Harassment Policy
- ICERM is committed to a safe, professional, and welcoming environment. Brown University's Code of Conduct and related policies apply to all ICERM participants. Contact the ICERM Director or Associate Director Jenna Sousa for concerns.
- Fundamental Research
- ICERM programs promote Fundamental Research and mathematical education. Participants involved in sensitive or proprietary work should be aware of U.S. export control restrictions.
- Exploring Providence
- Providence offers world-class dining and attractions. Visit 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
- Eligible to be reimbursed
- B-1 or Visa Waiver Business (WB) – if you already have either visa, contact ICERM staff for a visa-specific invitation letter.
- Ineligible to be reimbursed
- 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 a letter of approval.
All other visas: alert ICERM staff immediately about your situation.
ICERM does not reimburse visa fees. This chart is to inform visitors whether the visa they enter the US on allows them to receive reimbursement for the items outlined in their invitation letter.
Financial Support
This section is for general purposes only and does not indicate that all attendees receive funding. Please refer to your personalized invitation to review your offer.
- ORCID iD
- As this program is funded by the National Science Foundation (NSF), ICERM is required to collect your ORCID iD if you are receiving funding to attend this program. Be sure to add your ORCID iD to your Cube profile as soon as possible to avoid delaying your 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 airline
- 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.)
- Travel Maximum Contributions
- New England: $350
- Other contiguous US: $850
- Asia & Oceania: $2,000
- All other locations: $1,500
- Note these rates were updated in Spring 2023 and supersede any prior invitation rates.
- Reimbursement Requests
Request Reimbursement with Cube
Refer to the back of your ID badge for more information. Checklists are available at the front desk and in the Reimbursement section of Cube.
- 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 Google Maps PDF
- Keep all documentation until you receive your reimbursement!
- Reimbursement Timing
6–8 weeks after all documentation is sent to ICERM. All reimbursements are reviewed by multiple Brown University offices.
- Reimbursement Deadline
Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. No submissions are accepted after six months.
