### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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# Monthly Archives: February 2015

## Quasiconformal Maps

Ok, time to get back to Riemann surfaces! We’ve been all about hyperbolic surfaces, and so first let’s compare the two of them: every oriented hyperbolic surface is a Riemann surface, and the conformal class of a complex structure contains … Continue reading

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## Quadratic Differentials

We’re going to get to quasi-conformal maps soon, but first, we’re going to want to build some new objects on our Riemann surfaces. Differential forms are a fairly standard thing, and asserting that they’re holomorphic isn’t exactly a revolution. On … Continue reading

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