ebrahim ebrahim

github

Here are various writings and things:

kitware (2021 to present)

deep atlas tutorial Tutorial for a deep learning appraoch to medical image registration and segmentation. It is helpful for situations where segmentation label data is limited.

teaching (2017 to 2020)

proofs An introductory text about naive set theory and the mathematical way of writing arguments.

vector calculus Lecture notes on vector calculus.

linear ODEs Scattered writings for an ODEs course.

grad school (2012 to 2018)

phd dissertation My entire life for a few years.

prime spectrum of REA A paper about the prime spectrum and representation theory of the 2x2 reflection equation algebra. My dissertation generalizes the methods in this paper to more GWAs.

lie algebras Notes on semisimple Lie algebras and the root space decomposition.

semisimple rings Notes building up to the Wedderburn-Artin theorem.

mcd coherence A verbose proof of the coherence theorem for monoidal categories with duals.

undergrad (2008 to 2012)

lie derivatives The culmination of my project to understand Lie derivatives when I was in over my head. I am slightly embarrassed of my undergrad writing, but it's a workable intro to differential geometry.

iraqi arabic An investigation of the clause structure of Iraqi Arabic. I had a linguistics phase where I really got into syntax. I took a few a courses, and in the final project for one of them I chose to investigate my native dialect.