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].