Higher Algebra and Mathematical Physics

Conference Date: 
Monday, August 13, 2018 - 09:00 to Friday, August 17, 2018 - 14:30
Scientific Areas: 
Mathematical Physics


A double conference is a new eco-friendly conference format, whose purpose is to reduce long-distance travel while still fostering long distance interaction.  Events take place in two different locations connected by live video stream.

North American location: Perimeter Institute for Theortical Physics
European location:  Max Planck Institute for Mathematics

To download the poster, please click here.

"Higher algebra" has become important throughout mathematics, physics, and mathematical physics, and this conference will bring together leading experts in higher algebra and its mathematical physics applications. In physics, the term "algebra" is used quite broadly: any time you can take two operators or fields, multiply them, and write the answer in some standard form, a physicist will be happy to call this an "algebra". "Higher algebra" is characterized by the appearance of a hierarchy of multilinear operations (e.g. A-infinity and L-infinity algebras). These structures can be higher categorical in nature (e.g. derived categories, cohomology theories), and can involve mixtures of operations and co-operations (Hopf algebras, Frobenius algebras, etc.). Some of these notions are purely algebraic (e.g. algebra objects in a category), while others are quite geometric (e.g. shifted symplectic structures).

An early manifestation of higher algebra in high-energy physics was supersymmetry. Supersymmetry makes quantum field theory richer and thus more complicated, but at the same time many aspects become more tractable and many problems become exactly solvable. Since then, higher algebra has made numerous appearances in mathematical physics, both high- and low-energy.

The conference speakers and participants, drawn from both sides of the Atlantic and connected by live video streams, will explore these myriad aspects of higher algebra in mathematical physics.

To register for the North American event, please click here.  Registration will remain open until Monday, July 23.


North American Speakers
  • Davide Gaiotto, Perimeter Institute
  • Lisa Jeffrey, University of Toronto
  • *Matilde Marcolli, Perimeter Institute
  • David Nadler, University of California, Berkeley
  • Andrew Neitzke, University of Texas
  • Stephan Stolz, University of Notre Dame
  • Valerio Toledano Laredo, Northeastern University

*to be confirmed

European Speakers

  • Damien Calaque, Montpellier University
  • Tobias Dyckerhoff, Bonn University
  • Lotte Hollands, Hariot-Watt University
  • Sylvie Paycha, Postdam University
  • Joerg Teschner, Hamburg University
  • Bertrand Toen, Toulouse University
  • Katrin Wendland, Freiburg University
  • Arun Debray, University of Texas
  • Mykola Dedushenko, California Instittute of Technology
  • Justin Hilburn, University of Pennsylvania
  • Omar Kidawi, University of Toronto
  • Jeffrey Kroll, City University of New York
  • Justin Kulp, Perimeter Institute
  • Ji Hoon Lee, Perimeter Institute
  • Sanketh Menda, University of Waterloo
  • Natalie Paquette, California Institute of Technology
  • Kasia Rejzner, University of York
  • Andrei Shieber, Perimeter Institute
  • Aidan Suter, Perimeter Institute
  • Alex Takeda, Univeristy of California, Berkeley
  • Antonino Travia, University of South Florida
  • Laura Wells, University of Notre Dame
  • Junya Yagi, Perimeter Institute
  • Valentin Zakharevich, Johns Hopkins University

If you are an invited speaker to this event, Perimeter Institute staff will contact you to coordinate ground transportation arrangements on your behalf.

If you need transportation while attending the conference, we offer suggestions below. If flying, we suggest that you book your flight to arrive at Toronto International Airport (YYZ) or the Region of Waterloo International Airport (YKF).

Boulevard Limousine (estimated travel time 1hr) The fare for Boulevard Limousine for one passenger is $127.00 to the Toronto Airport.  The fare for one passenger from the Toronto Airport to Waterloo is $145.00.  To make reservations, please visit their website or call 519-886-8090.

Airways Transit (estimated travel time 1hr) Airways Transit connects Toronto (Pearson), Hamilton (Munro), and Region of Waterloo International Airports with the Kitchener-Waterloo area by providing 24 hour shared ride door-to-door service. To make reservations online please visit their website of contact them by phone 24 hours: 519-886-2121.

0001 Toronto Cabs (estimated travel time 1hr)  Approximately $160.00 rate for one-way: Toronto International Airport to Waterloo. Call 416-809-5656. 
Note: One or more passengers can split this $160.00 rate.

City Cabs (estimated travel time 1hr) $90.00 flat rate for one-way:  Kitchener-Waterloo to Toronto International Airport.  Call 519-747-7777

Car Rentals Upon arrival in any of the terminals at Pearson International Airport there are a number of car rental agencies to choose from. Their booths are located on the arrivals level. The cost of a car rental is dependent upon the type of vehicle you would like and the length of the stay. 

Driving Directions 

  • From the airport, follow signs for Highway 427 South/Highway 401. 
  • Continue to follow signs for Highway 401 West - London. 
  • Proceed West on Highway 401. 
  • Exit Highway 401 at Highway 8 West. 
  • Take exit 278 (Highway 8 West) and follow 8 West for 5 km to Highway 85, towards Highway 7 East.
  • Proceed on Highway 85 for 5 km to Bridgeport Road exit. Turn right at the off-ramp, traveling west. 
  • Follow Bridgeport Road for 2 km into downtown Waterloo. 
  • Bridgeport is a four-lane one-way road. It becomes Caroline Street at Albert Street. Continue straight ahead. 
  • Travel forward another 200 metres, but ease over into the right-hand lane. As you go down a hill and around a curve, look for the green Perimeter Institute sign on the right hand side. The parking lot entrance is just after the sign (past the historic grist mill that sits on the edge of Silver Lake). 
  • Turn right into the PI parking lot entrance.

Please note that parking is extremely limited at Perimeter Institute and you must have a parking permit to park in the lot long term.

If you are an invited speaker to this event, Perimeter Institute staff will contact you to coordinate hotel accommodations on your behalf.

If you need accommodations while attending the conference, we offer suggestions for lodging below.  When booking your reservation, please indicate that you will be attending a conference at Perimeter in order to receive the best possible rate.

Delta Waterloo 110 Erb Street West Waterloo, ON N2L 0C6
Phone: 1-888-890-3222
Distance from PI: 450 m

Waterloo Hotel 2 King Street North Waterloo, ON N2J 2W7
Phone: 519-885-2626
Distance from PI: 500 m

Comfort Inn 190 Weber Street North Waterloo, ON N2J 3H4
Phone: 519-747-9400
Distance from PI: 2.3 km

Walper Terrace Hotel 1 King Street West Kitchener, ON N2G 1A1
Phone: 519-745-4321
Distance from PI: 3.7 km

Crowne Plaza Kitchener-Waterloo 105 King Street East Waterloo, ON N2G 2K8
Phone: 519-744-4141
Distance from PI: 3.8 km

Four Points by Sheraton 547 King Street North Waterloo, ON N2L 5Z7
Phone: 519-884-0100
Distance from PI: 4.3 km

Holiday Inn Express & Suites 14 Benjamin Road Waterloo, ON N2V 2J9
Phone:  519-772-9800
Distance from PI:  5.6 km

Homewood Suites by Hilton 45 Benjamin Road Waterloo, ON N2V 2G8
Phone:  519-514-0088
Distance from PI:  5.6 km

Courtyard by Marriott 50 Benjamin Road East Waterloo, ON N2V 2J9
Phone: 519-884-9295
Distance from PI: 5.6 km

University of Waterloo Conference Centre 200 University Avenue West Waterloo, ON N2J 4C1
Phone:  1-800-565-5410
Distance from PI:  1.3 km

The Conference Centre accommodations include single and double rooms.  Each floor consists of 24 rooms with 2 large washrooms per floor (1 male and 1 female). Guest rooms are not air conditioned, but a limited number of fans are available on a first come first service basis. Rooms are available between May-August.

Scientific Organizers:

  • David Ayala, Montana State University
  • Lukas Brantner, Max Planck Institute for Mathematics
  • Kevin Costello, Perimeter Institute
  • Owen Gwilliam, Max Planck Institute for Mathematics
  • Andre Henriques, Oxford University
  • Theo Johnson-Freyd, Perimeter Institute
  • Aaron Mazel-Gee, University of Southern California
  • Peter Teichner, Max Planck Institute for Mathematics