Jae Hyung Sim
PhD Candidate in Mathematics
"Explicit Cocycle of the Dedekind Rademacher Cohomology Class
and the Darmon-Dasgupta Measures."
2023.
[preprint]
"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]
"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]
"The Missing Theory of Real Multiplication Elliptic Curves"
2023. Given at the AMS New England Graduate Student Conference
held at Brown University.
"Adic Spaces"
2023. Given as part of the Learning seminar on p-adic geometry.
[link]
"Tate Algebras"
2023. Given as part of the Boston University Number
Theory Expository Seminar on Rigid Analytic Geometry.
[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]