Upcoming Events

Famously, the adjacency matrix of a graph can be used to enumerate walks in graphs. This makes the adjacency spectrum important to understanding graph structure. I will talk about the non-backtracking matrix, which is used to enumerate walks that are...

In mathematics, a proof not only demonstrates that a statement is true; it also allows others to confirm its correctness by verifying the argument. This talk highlights two places where the same “prove and verify” principle is applied to build...

Finitely generated groups can be treated as geometric objects by considering their Cayley graphs with respect to finite generating sets. All such graphs are quasi-isometrically equivalent. In the 80s, Gromov proposed studying finitely generated...

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The reconfiguration of one discrete structure into another one, through a sequence small local modifications, is a wide research area. Famous topics of study range from games like the Rubik's cube or the 15-puzzle via robot motion planning to...

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For two multiplicatively independent positive integers p and q, Furstenberg (2019) conjectured that the transformations px mod 1 and qx mod1 are transverse. This means that the Hausdorff dimension of the intersection of two closed invariant sets is...

Since its inception in the early 2000s, compressive sensing has become a well-established paradigm for efficient signal recovery, with applications ranging from medical imaging to scientific computing. More recently, data-driven reconstruction...

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