Tags » Hyperbolic Geometry

Hyperbolic Surfaces

Ok, with the hyperbolic plane and its metric and geodesics out of the way, we can start getting into some surface theory. 583 more words

The hyperbolic plane

So, I know I usually talk about strictly algebraic geometry stuff, but the moduli of curves lives in an interesting place.  It’s both an algebraic and an analytic object.  394 more words

Mapping class groups: the next generation

Nothing stands still except in our memory.

- Phillipa Pearce, Tom’s Midnight Garden

In mathematics we are always putting new wine in old bottles. No mathematical object, no matter how simple or familiar, does not have some surprises in store.

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