Gyujin Oh

[gyoo-jin]


I am a Ritt Assistant Professor at Columbia University. I am interested in number theory and its related areas.
In Spring 2023, I am visiting SLMath (a.k.a. MSRI) for the special program Algebraic Cycles, L-Values, and Euler Systems.

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 (Columbia), 203 (MSRI)



- Algebraicity of quaternionic modular forms over Sp(1,1). Draft available on request.

- Derived Hecke algebra for weight one forms via classicality. Draft available on request.

- 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.

- 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.

- On the distribution of cyclic number fields of prime degree (with Seok Hyeong Lee). Int. J. Number Theory 8 (2012), 1463-1475. link.




Fall 2022: Calculus III




Miscellaneous Writeups

Quantum cohomology of homogeneous varieties

Koszul duality and categorical archimedean local Langlands

Borcherds products

Understanding resurgence theory

Higher Hida theory

Irregular singularities and the Stokes phenomenon

Geometric construction of discrete series

Beilinson's conjectures

Epsilon dichotomy

E2 is not overconvergent

Fukaya-Kato's result on Sharifi's Upsilon map

Iwasawa main conjecture for ℚ

Cup products and L-values of cusp forms

Summary of Deligne's "A quoi servent les motifs?"

Decompletion

G-shtukas


Transcribed notes

Spectral theory of automorphic forms taught by Peter Sarnak

Heights of algebraic cycles taught by Shou-Wu Zhang

Automorphic forms and special values of L-functions (On "Skinner-Urban") taught by Chris Skinner

Padova school on Serre conjectures and the p-adic local Langlands program



Moduli of Langlands parameters learning seminar, Fall 2021

Junior Number Theory Tea, Spring 2021

Junior Number Theory Tea, 2020

Theta learning seminar, Fall 2019

Deformation theory learning seminar, Fall 2018