I plan to spend the sabbatical at the Weizmann Institute of Science in Rehovot, Israel. I plan to work on the following projects: 1. Words in finite and arithmetic groups: study word maps in finite and arithmetic groups and their applications in model theory and low-dimensional topology. 2. Higher counting: study sequences of homotopy $n$-types of the form $k --> |X(Z / k)|$, where $X$ is a higher stack and $| A |$ denotes the geometric realization of the higher groupoid $A$. 3. Study Schrodinger operators on trees that are invariant under lattices in the automorphisms groups of the trees.
|Effective start/end date||9/1/19 → 8/31/21|
- Simons Foundation (617439)
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