New Structures in Low-Dimensional Topology Workshop 2026
Our Simons Collaboration, New Structures in Low-Dimensional Topology, aims to bring together researchers across a wide array of disciplines to make progress on deep questions in the field. Some of these questions are directly concerned with smooth manifolds in low dimensions, while others center the formal algebraic structures which intertwine with, and emerge out of studies of manifolds and cobordisms more broadly.
This workshop aims to introduce graduate students and postdocs to the foundational mathematics underlying core areas such as gauge theory, quantum topology, categorification, and 4-manifolds, and to provide entry points into current research. We will feature several lecture series and research talks by junior faculty, designed to bridge gaps between varied subfields and to catalyze new collaborations.
Quick facts
AIM is housed on the 8th floor of Caltech Hall on the campus of Caltech in Pasadena, CA.
Support and funding
- Travel & lodging: Support available for non-local participants (subject to availability).
- Grant support: Simons Collaboration Grant No. 999367.
Additional venue specifics (room, check-in procedures) will be posted when available.
Speakers
Series
- Abhishek Mallick (Dartmouth)
- Sunghyuk Park (Harvard)
- Joshua Wang (IAS & Princeton)
Research talks
- Ross Akhmechet (Columbia U)
- Melissa Zhang (UC Davis)
- TBA
Structure and preliminary timetable
All times listed in Pacific Time unless otherwise noted. This timetable is preliminary and subject to change.
| Time | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 9:30–10:30 | Series 1 | Series 2 | Series 1 | Series 3 | Grad talks #2 |
| Break | Break | ||||
| 11:00–12:00 | Series 2 | Grad talks #1 | Series 2 | Series 1 | Series 3 |
| Lunch | Lunch | ||||
| 2:00–3:30 | Research 1 | Series 3 | Free! | Research 2 | Research 3 |
Applying
We can support travel and accommodations for non-local participants.
If you are preparing to apply, consider drafting a brief statement of interest and (if relevant) a short description of your background and topical focus in low-dimensional topology and adjacent areas.
Logistics
Venue: American Institute of Mathematics (AIM), Pasadena, CA.
AIM is housed on the 8th floor of Caltech Hall on the campus of Caltech in Pasadena, CA.
Getting there
By plane
The most convenient airports for reaching Pasadena are Hollywood Burbank Airport (BUR) and Los Angeles International Airport (LAX).
- Burbank (BUR): The closest airport to Pasadena (≈25 minutes by car). Rideshare services (Uber/Lyft), taxis, and rental cars are readily available at the terminal. This is the recommended airport when possible.
-
LAX:
A major international airport with more flight options, but farther from Pasadena
(≈45–75 minutes depending on traffic).
- Rideshare / taxi: Upon arrival at LAX, follow signs to LAX-it, the designated pickup area for Uber, Lyft, and taxis. Free LAX-it shuttles run frequently from each terminal.
- Public transportation: Take the FlyAway bus from LAX to Union Station. From Union Station, take the Metro A Line toward Azusa and exit at Memorial Park Station or Del Mar Station. Both stations are within walking distance of Caltech and the American Institute of Mathematics.
By car
Pasadena is easily accessible by car via major freeways in the Los Angeles area.
- Parking at Caltech: Visitor parking is available on the Caltech campus, primarily in designated visitor lots and parking structures.
- Parking policies: Parking on campus generally requires a permit or payment at pay stations. Detailed instructions (including recommended lots and daily rates) will be provided to accepted participants prior to the workshop.
- Street parking: Limited metered street parking is available in surrounding neighborhoods, subject to posted time limits and city regulations.
We strongly recommend checking parking instructions provided by the organizers shortly before arrival, as campus parking policies may change.
Additional information
- Lodging: TBA
- Meals: TBA
- Accessibility: TBA
Policies
- Code of Conduct: Please follow AIM and host-institution conduct expectations; a specific policy link can be added here.
- Recording/Photos: TBA
- Privacy: TBA