I am currently a third year Ph.D. Student in Mathematics at UC Davis!
I graduated from High School in 2021 and Received a B.S. in Math from UC Davis in 2023.
I enjoy studying complex algebraic geometry, integrable systems, PDE's, modular forms, and combinatorics applied to various mathematics and theoretical physics problems! My current advisor is Professor Motohicho Mulase and I am doing research pertaining to Gromov-Witten invariants of Fano Varieties and Mirror Symmetry.
I slowly (but surely) will update my notes section with various collections of notes I have taken on various textbooks and topics. You will notice a sizable introductory couple of pages which preempt each note that involves "key questions", "preliminary facts", "overarching questions for the entire chapter", and "what's the skinny?" sections.
"Key Questions" are those which motivate the content of the chapter and are the underlying fundamental questions which led to the development of the content in the first place. "Preliminary Facts" will list relevant topics which are meant to be known by the reader before starting certain sections/problems in the text. Though these won't be reviewed in the text, mentioning them for the reader so they vaguely know what kinds of things they should remember may be helpful. "Overarching Questions" will be those which help solidify the "natural flow" of the material. "What's the skinny?" sections will be a short blurb of the key concepts and takeaways one should get from each section in the chapter. This will help to review the material in a much more condensed manner.
SBD: 395ibs ; 265ibs; 495 ibs