Notes

Here I have collected some of my miscellaneous mathematical notes in case they are helpful to anyone. Most of these notes were written for my own personal reference and as such some may be more readable or correct than others. Many of these notes are based on other books, papers, presentations or notes and I do not claim that any of the ideas herein are my own original ideas! Rather, these notes are just me thinking through the ideas presented by others in a way that makes sense to me. Sometimes I am just following another paper, book or set of notes and adding details. I try to always provide references, but it is likely that I have missed some. 

If you find any mistakes in these notes (there are many), please email me at roeedwar@msu.edu. I am also open to general suggestions on how any of them could be improved, whether in content or in style. Thank you! 

Finally, if you have any requests for notes you would like to see added on something within my area of expertise, please let me know. I have a lot of research notes that I am not including here since they are works in progress, but I could adapt them into readable notes if there is demand for it.