Gyujin Oh
[gyoo-jin]
I am a Ritt Assistant Professor at Columbia University. I am interested in number theory and its related areas.
I was a postdoctoral member of the SLMath/MSRI program Algebraic Cycles, L-Values, and Euler Systems in Spring 2023.
I received my PhD in mathematics in 2022 from Princeton University. My advisors were Christopher Skinner and Akshay Venkatesh.
You can find my CV here.
Email: firstnamelastname at math dot columbia dot edu.
Office: 517 Mathematics.
Research.
- Theta characteristics and modular forms of weight one.
- Derived Hecke algebra for weight one forms via classicality. Draft undergoing revisions.
- Coherent cohomology of Shimura varieties, motivic cohomology, and archimedean L-packets. Preprint.
- Higher Koecher's principle, harmonic Hilbert Maass forms, and their Borcherds lift. Preprint.
- A proof of Néron-Ogg-Shafarevich criterion via its archimedean analogue. Preprint.
- On the distribution of cyclic number fields of prime degree (with Seok Hyeong Lee). Int. J. Number Theory 8 (2012), 1463-1475. link.
Not intended for publication:
- No abelian scheme over ℤ. Part III Essay.
- Brauer obstructions of finite groups of Lie type in view of the Local Langlands Correspondence. Bachelor's thesis.
There are also miscellaneous write-ups, including some lecture notes I transcribed.
Teaching.
This semester (Spring 2024) I am teaching Algebraic Number Theory (GU4043). I wrote quite extensive lecture notes.
Seminars.
This semester (Spring 2024) I am co-organizing Columbia's Automorphic Forms and Arithmetic Seminar.
This semester (Spring 2024) I am running a seminar on the relative Langlands duality.