Recent Projects

Thurston Theory

• An alternative proof of Thurston's topological criterion, via an object called the Rees Space.
• A proof that polynomial-like, critically periodic Thurston maps are unobstructed.

Complex Dynamics

• Some drawings and proofs about annuli, children and quadratic Yoccoz puzzles. Also more thoughts, proofs and exercises in reference to Milnor's paper on quadratic Yoccoz puzzles.
• Solutions and thoughts on Milnor's book Dynamics in One Complex Variable.
• Introduction to holomorphic dynamics.

Complex Analysis and Geometry

• Basic results on the theory of ends.
• Introduction to the theory of quasiconformal maps.

Others

• Presentation on the theory of distributions (in portuguese).

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