The conference will explore the role of singularities in topology, geometry, and mathematical physics, bringing together researchers who approach these structures from complementary perspectives. The main topics of the conference include:
• Codimension two embedding theory
• Characteristic classes of singular varieties
• Singularities in mathematical physics
• Stratified spaces in computational topology
This event is a Satellite Conference of the 2026 International Congress of Mathematicians.

LOCATION:

The conference will take place during August 3-7, 2026, at the University of Notre Dame.

• Alexandra Kjuchukova (Notre Dame)
• Laurentiu Maxim (UW-Madison)
• Kent Orr (IU Bloomington)

• Sylvain Cappell (New York University)
• Joerg Schuermann (University of Muenster, Germany)
• Shmuel Weinberger (University of Chicago)

ACKNOWLEDGEMENTS: We gratefully acknowledge the support of:

• U.S. National Science Foundation
• Department of Mathematics of the University of Notre Dame
• Notre Dame Research
• Notre Dame Center for Mathematics
• Notre Dame College of Science
• Department of Mathematics of the University of Pennsylvania

SPEAKERS:

• Ali Aligholi (University of Wisconsin-Madison)
• Paolo Aluffi (Florida State University)
• Valentina Bais (SISSA, Italy)
• Markus Banagl (University of Heidelberg)
• Patricia Cahn (Smith College)
• Sylvain Cappell (New York University)
• Jae Choon Cha (POSTECH, Korea)
• Antonella Grassi (University of Bologna)
• James Halverson (Northeastern University)
• Alexandra Kjuchukova (University of Notre Dame)
• Anatoly Libgober (University of Illinois at Chicago)
• Laurentiu Maxim (University of Wisconsin-Madison)
• John Messina (University of Wisconsin-Madison)
• Kent Orr (Indiana University at Bloomington)
• Ella Pfaff (University of Notre Dame)
• Alessio di Prisa (Scuola Normale Superiore in Pisa)
• Ryan Stees (University of Virginia)
• Laurence Taylor (University of Notre Dame)
• Abigail Thompson (University of California Davis)
• Shmuel Weinberger (University of Chicago)
• Jacob Wood (University of Wisconsin-Madison)

PROGRAM: schedule of talks, titles and abstracts.

LODGING:

Speakers and registered participants will be staying at Aloft Hotel (Address: 111 N Main Street, South Bend, IN, 46601, US).
We do not partner with any travel agencies. Please be aware that some agencies may attempt to target conference participants with fraudulent booking offers.

REGISTRATION:

If you wish to participate in this event, please fill out the following Registration Form. Registered speakers and participants who wish to submit updates related to their schedule, as well as information about their talks, should contact the organizers directly.