Clusters and Geometry
Research Area(s):
Inverse spectral problem for electrical networks.
Networks, BPS states counting, and exact WKB
Multiple cluster structures for geometric dynamics
Critical varieties in the Grassmannian
Skein modules are finite-dimensional
Generalized scattering amplitudes: planar kinematics, cyclic fixed points and two lattice polytopes
Generalized hyperpolygons, meromorphic Higgs bundles on curves, and integrability
Webs, cluster algebras, and straightedge constructions
Webs and tropical coordinates on surfaces
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