Directed Reading Projects (at UCLA)
These are Quarter-long reading projects, done under the mentorship of a graduate student at UCLA, that focus on a specific area of interest. Here is a list of any previous and current DRPs I have done at UCLA, alongside any final presentation for the project.
DRP: On Mori’s MMP, Cox Rings, etc.
Mentor: Tomoki Oda
Fall 2026 (Current)
TBD.
Main Texts and References
- Birational Geometry of Algebraic Varieties – Kollár and Mori
- Singularities of the Minimal Model Program – Kollár
DRP: Toric Geometry and Singularity Theory
Mentor: Tomoki Oda
Spring 2026
Main Texts and References
- Introduction to Toric Varieties – Fulton
- Complex Algebraic Surfaces – Beauville
- Birational Geometry of Algebraic Varieties – Kollár and Mori
DRP: The Spectral Theory of Compact Operators
Mentor: Stepan Malkov
Fall 2025
Main Texts and References
- Introduction to Spectral Theory – Hislop and Sigal
- Real Analysis: Modern Techniques and Their Applications – Folland
DRP: Representation Theory of Compact Groups
Mentor: Tomoki Oda
Spring 2025
Main Texts and References
- Representation Theory: a First Course – Fulton and Harris
- Lie Groups, Lie Algebras, and Representations – Hall