42 citations · 119 across the 37 of their papers we have counts for
41 papers
Nonabelian Chabauty for the Thrice-punctured Line over Cyclotomic Fields
Minhyong Kim, Xiang Li, Martin Lüdtke
In this paper we study the motivic Chabauty--Kim method, which aims to determine the set of -integral points of , over cyclotomic fiel…
Path Integrals and p-adic L-functions
Magnus Carlson, Hee-Joong Chung, Dohyeong Kim +3
We prove an arithmetic path integral formula for the inverse p-adic absolute values of the Kubota-Leopoldt p-adic L-functions at roots of unity.
A note on abelian arithmetic BF-theory
Magnus Carlson, Minhyong Kim
We compute some arithmetic path integrals for BF-theory over the ring of integers of a totally imaginary field, which evaluate to natural arithmetic invariants associated to $\math…
Learning Algebraic Structures: Preliminary Investigations
Yang-Hui He, Minhyong Kim
We employ techniques of machine-learning, exemplified by support vector machines and neural classifiers, to initiate the study of whether AI can "learn" algebraic structures. Using…
Arithmetic Gauge Theory: A Brief Introduction
Minhyong Kim
Much of arithmetic geometry is concerned with the study of principal bundles. They occur prominently in the arithmetic of elliptic curves and, more recently, in the study of the Di…
Mirror symmetry, mixed motives and
Minhyong Kim, Wenzhe Yang
In this paper, we present an application of mirror symmetry to arithmetic geometry. The main result is the computation of the period of a mixed Hodge structure, which lends evidenc…