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Using analytic and algebraic geometry in the character variety, we show that Thurston's skinning map of Teichmüller space has finite fibers. Along the way, we introduce a natural stratified Kähler structure on the space of measured laminations.
Links go to gallery pages, most of which contain some explanation of the mathematical background:
![Golden ratio dendrites [dendrite]](/~ddumas/limset/dendrite-golden/preview-small.png)
![Mathematical images [misc images]](/~ddumas/gallery/gallery-preview.png)
Note: These are old lectures. I now prefer to use chalkboards for my presentations.