Jeehoon Park

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20232026

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math.NT2026

Arithmetic BF theory and the Cassels-Tate pairing

Jeehoon Park, Junyeong Park

We give a systematic treatment of the arithmetic BF theory, introduced by Carlson and Kim. We observe that the Cassels-Tate pairing can be naturally interpreted as an arithmetic BF…

math.NT2023

BF path integrals for elliptic curves and $p$ -adic $L$ -functions

Jeehoon Park, Junyeong Park

We prove an arithmetic path integral formula for the inverse $p$ -adic absolute values of the $p$ -adic $L$ -functions of elliptic curves over the rational numbers with good ordinary…

math.NT2023

Modular Symbols with Values in Beilinson-Kato Distributions

Cecilia Busuioc, Jeehoon Park, Owen Patashnick +1

For each integer $n \geq 1$ , we construct a $GL_{n} (Q)$ -invariant modular symbol $ξ_{n}$ with coefficients in a space of distributions that takes values in the…

Arithmetic BF theory and the Cassels-Tate pairing

BF path integrals for elliptic curves and p-adic L-functions

Modular Symbols with Values in Beilinson-Kato Distributions

BF path integrals for elliptic curves and $p$ -adic $L$ -functions