Jae Hyung Sim
PhD Candidate in Mathematics
"On Equidistributed Geometric Numerical
Semigroups."
2023. Joint work with Caleb Shor. (In preparation)
"Explicit Cocycle of the Dedekind Rademacher Cohomology Class
and the Darmon-Dasgupta Measures."
2023.
[preprint] (Provisionally Accepted by Journal of Number Theory)
"Explicit Cocycle of the Dedekind Rademacher Cohomology Class
and the Darmon-Dasgupta Measures."
2023.
[preprint] Provisionally Accepted by Journal of Number Theory
"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]
"Rigid Cocycles and RM Theory"
2024. Lightning Talk given at the workshop on the Ceresa
cycle held at ICERM.
"Euler Systems and Adelic Distributions"
2024. Given at the AMS New England Graduate Student Conference
held at Brown University.
BUNTES: p-adic Hodge Theory
2024 Spring. Boston University Number Theory Expository Seminar
on p-adic Hodge Theory.
[seminar webpage]
"Explicit Cocycle of the Dedekind-Rademacher Cocycle"
2023. Given at a seminar organized by Henri Darmon at
McGill University.
"Explicit Cocycle of the Dedekind-Rademacher Cocycle"
2023. Given at Maine-Quebec Number Theory Conference.
"Galois Representations"
"Representability of a deformation functor of a residually reducible representation by a Hida family"
"Construction of p-adic period rings"
2023. Given as part of the Boston University Number
Theory Expository Seminar on Galois Deformation Theory.
[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]