Katherine Williams Booth - Research

Katherine Williams Booth

Research Papers:

"Graphs of quasicircles and quasiconformal homeomorphisms", joint with A. Nolte & Y. Verberne
"Automorphisms of smooth fine curve graphs" (2024) Transactions of the AMS, to appear.
"Homeomorphisms of surfaces that preserve continuously differentiable curves" (2024)
"Automorphisms of the fine 1-curve graph", joint with D. Minahan & R. Shapiro. Geometriae Dedicata 219, 68 (2025).

Talk Slides:

Automorphisms of Fine Curve Graphs: The Fine Details!

Large colored splotches with text and arrows between them.

Automorphisms of the Smooth Fine Curve Graph

A slide about the fine curve graph showing a surface with curves and the associated graph with vertices colored the same as the curves.

Recovering surface maps from automorphisms of fine curve graphs

A slide showing visual representations of Euclid's axioms.

Colloquium: The Lost Theorems of Geometry

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