Research rarely begins as a finished paper. More often, it starts with a question, a partial connection, or the feeling that an idea from one field might help clarify a problem in another.
I am creating this notebook as a place to share some of that thinking while it is still developing. The topics will reflect my interests across applied and numerical analysis, complex quantum systems, fault-tolerant quantum simulation, and agentic AI for mathematics.
These posts are meant to be concise and exploratory, not final statements. I welcome precise questions, corrections, and alternative points of view. Thoughtful exchanges can reveal what an argument is missing, suggest a better direction, or connect ideas that initially seemed unrelated.
When one of these explorations develops into formal work, I will add a link to the corresponding paper, software, or publication. Until then, this is a place for questions worth thinking about together.