Jae Hyung Sim

PhD Candidate in Mathematics

The following are papers I have written in the past as final project papers.

*"The p-adic numbers and a proof of the Kronecker-Weber
theorem."*

2018. Written as the final paper for the
2018 Math REU under the guidance of Matthew Emerton.
[link].

*"Applications of the first inequality."*

2019.
Written with David Lin as the final paper for a reading
course on exploring class field theory under the guidance
of Matthew Emerton. [link].

*BUNTES: Class Field Theory*

2022 Spring. Boston University Number Theory Expository Seminar
on class field theory.
[seminar webpage]

*"Shimura Curves."*

*"CM: Shimura-Taniyama formula and the main theorem."*

2021. Given as part of the Boston University Number
Theory Expository Seminar on Shimura varieties.
[link].

*"Etale Maps."*

*"H^1 and Torsors."*

2021. Given as part of the Boston University Number
Theory Expository Seminar on Etale Cohomology.
[link].

*BUNTES: CM*

2020 Fall. Boston University Number Theory Expository Seminar
on the theory of complex multiplication of elliptic curves
and abelian varieties.
[seminar webpage]

*"Ramification of curves."*

*"Raynaud's generic fiber."*

2020. Given as part of the Boston University Number
Theory Expository Seminar on Abhyankar's conjecture.
[link].

*"Introduction to modular forms."*

*"Kolyvagin's work."* in conjunction with Oana Adascalitei

2019. Given as part of the Boston University Number Theory Expository
Seminar on Gross-Zagier. [link].