mathematics

Lecture notes of the course Analysis On Manifolds

"Moon in a puddle and the four-vertex theorem" by Anton Petrunin, Sergio Zamora Barrera (with artwork by Ana Cristina Chávez Cáliz)

"What is differential geometry: curves and surfaces" by Anton Petrunin and Sergio Zamora Barrera

Extensive learning notes on mathematics. Now hosted at https://git.sr.ht/~luizmugnaini/deep-dive

# Warp Bubble Connection & Curvature

The (unofficial) contributions handbook for SGI 2025!

Persistent cohomology operations and Gromov-Hausdorff estimates

Solutions to problems in Gauge Fields, Knots and Gravity

A mathematician's lament...

CM uniquement.

This repo contains notes for (some) courses made during core years at IISERM. CAUTION: Contain some cool stuff too.

Solutions and clarifications for Tensor Calculus by J.L. Synge and A. Schild (Dover Publication)

"About every convex set in any generic Riemannian manifold" by Alexander Lytchak and Anton Petrunin

"Self-crossing geodesics" by A. Petrunin

This is a collection of my personal notes about the proofs, exercises and problems of John Lee's trilogy on manifolds. Feel free to ask me if something unclear.

Open Source collection of solved exercises and tasks for the subject «Differential Geometry» («Geometría de Curvas y Superficies») written during my degree in Mathematics in the University of Murcia, Spain.