Jae Hyung Sim

PhD Candidate in Mathematics

Writings

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].

Talks

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].