Some older math writings from my undergrad

At the present moment, most of the contents below are written in portuguese.

• Slides for a presentation I gave on supermanifolds for my Topics in Mathematical Physics class. Here is a video of the presentation, but the audio is terrible :(
• A brief study of the Sasaki metric and the proof that the geodesic flow is divergence-free with respect to it.
• Slides for a presentation on differential forms and de Rham Cohomology.
• Work on the classification of surfaces.
• Slides for a group presentation on Riemann surfaces.
• Slides for a presentation on Hubbard Trees.
• Slides for a presentation on the connectivity of the Mandelbrot set.
• A brief discussion of the \(3\)-sphere.
• Written version of a group project on small cardinais.
• A Problem i helped come up with in a group activity at the 2020 CIIM. If you want to tackle it, feel free to email me your solution!
• A minor generalization of the theorem on tangent bifurcations in one-dimensional dynamics.
• An elementary analysis of the \( C^r \) distance of functions on compact sets of the real line and minor applications to structural stability.
• Some notes on "number-less" induction that arose from fruitful conversations with Prof. Odilon Otávio Luciano. Two followup texts were this one and this one.

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