Misc.

You can find my qualifying exam preparation materials from graduate school at Syracuse University (SU) below. Feel free to use my solutions, notes, and other study materials to learn the material as well as to prep for qualifying exams. Please be aware that some of these materials may contain errors; however, they are provided here as is. Even when solutions are correct, they may not be the best possible argument or may contain other issues. Many thanks to PhD alumni, the MGO, and faculty from SU who have shared their knowledge and materials with me. For more study materials, please visit: https://mgo.syr.edu/resources/notes-exams/

A picture of me taken by Sam Saltmarsh on our way to Wheeler Peak via Williams Lake Trail