All Collaborations 

New Structures in Low-Dimensional Topology

Simons Collaboration

This collaboration, directed by Aaron Lauda of the University of Southern California, brings together a team of researchers, covering a variety of different perspectives, who can synthesize the interconnections between fields and overcome the barriers preventing progress in revealing the next generation of tools in low-dimensional topology.

Related People

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Aaron Lauda

Director, Simons Collaboration on New Structures in Low-Dimensional Topology

Stories & Features

Circular scientific visualization on a black background, resembling an eye or burst pattern. Thousands of thin blue, cyan, and occasional red lines radiate outward from a large black octagonal center, filling a polygonal boundary. The dense network of colored tracks creates a spoked, halo-like structure with intricate overlapping paths and points, suggestive of particle trajectories or complex data flowing outward from a central region.

Mathematicians and String Theorists Push Each Other’s Fields Forward

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Foundation Announces the Simons Collaboration on New Structures in Low-Dimensional Topology

More Collaborations

An abstract 3D Multi Сolored Flowing Seamless Pattern representative of a Gaussian multiplicative chaos plot.

Universal Statistics in Number Theory

Simons Collaboration
An illustration of a graphene lattice that has inconsistencies.

The Virtues of Defects

Simons Collaboration

Discrete Subgroups of Lie Groups

Simons Collaboration
A digital rendering of glowing spheres connected in a circular pattern, with translucent rings and two small figures at the center, set against a dark background.

Arithmetic Geometry, Number Theory and Computation

Simons Collaboration