記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：PLoS Computational Biology  

Human T-cell leukemia virus type 1 (HTLV-1) causes adult T-cell leukemia (ATL) and HTLV-1-associated myelopathy (HAM) after a long latent period in a fraction of infected individuals. These HTLV-1-infected cells typically have phenotypes similar to that of CD4+T cells, but the cell status is not well understood. To extract the inherent information of HTLV-1-infected CD4+ cells, we integratively analyzed the ATAC-seq and RNA-seq data of the infected cells. Compared to CD4+T cells from healthy donors, we found anomalous chromatin accessibility in HTLV-1infected CD4+ cells derived from ATL cases in terms of location and sample-to-sample fluctuations in open chromatin regions. Further, by focusing on systematically selected genes near the open chromatin regions, we quantified the difference between the infected CD4+ cells in ATL cases and healthy CD4+T cells in terms of the correlation between the chromatin structures and the gene expressions. Based on a further analysis of chromatin accessibility, we detected TLL1 (Tolloid Like 1) as one of the key genes that exhibit unique gene expressions in ATL cases. A luciferase assay indicated that TLL1 has an isoform-dependent regulatory effect on TGF-β. Overall, this study provides results about the status of HTLV-1-infected cells, which are qualitatively consistent across the different scales of chromatin accessibility, transcription, and immunophenotype.

DOI： 10.1371/journal.pcbi.1012690

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出版者・発行元：Tokyo Journal of Mathematics  

An integral binary quartic form is said to be locally soluble (resp. soluble) if the corresponding genus one curve has a rational point over Qv for every place v of Q (resp. over Q). We consider the proportion of soluble integral binary quartic forms in locally soluble forms. Bhargava showed the proportion is positive when one considers all binary quartics, and Bhargava–Ho proved the proportion is zero for a subfamily. In this paper, we estimate the proportions for some other subfamilies. It relies on results for elliptic curves y2 = x3 − n2x by Heath-Brown, Xiong–Zaharescu and Smith.

DOI： 10.3836/tjm/1502179411

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：International Journal of Number Theory  

We study a variant of the Hasse principle for finite Galois modules, allowing exceptional sets of positive density. For a Galois module whose underlying abelian group is isomorphic to F_p^r (r≤2), we show that the product of the restriction maps for places in a set of places S is injective if the Dirichlet density of 𝑆 is strictly larger than 1-p^{-r}. We give applications to the local–global divisibility problem for elliptic curves and the Hasse principle for flexes on plane cubic curves.

DOI： 10.1142/S179304212250097X

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記述言語：英語   掲載種別：研究論文（学術雑誌）  

The aim of this short note is to report some progress on numerical computations of algebraic Witt
vectors over imaginary quadratic fields K based on a previous work of the second author. In partic-
ular, when K is of class number one, we describe an effective procedure to decide whether a given
algebraic Witt vector ξ∈EK =K ⊗WaOK (O ̄K)is an integral Witt vector ξ∈WaOK (O ̄K).

DOI： https://doi.org/10.35011/risc.21-16

記述言語：日本語   掲載種別：研究論文（学術雑誌）  

The huge amount of data acquired by high-throughput sequencing requires data reduction for effective analysis. Here we give a clustering algorithm for genome-wide open chromatin data using a new data reduction method. This method regards the genome as a string of 1s and 0s based on a set of peaks and calculates the Hamming distances between the strings. This algorithm with the systematically optimized set of peaks enables us to quantitatively evaluate differences between samples of hematopoietic cells and classify cell types, potentially leading to a better understanding of leukemia pathogenesis.

DOI： 10.1371/journal.pcbi.1008422

記述言語：英語   掲載種別：研究論文（学術雑誌）  

We give two algorithms to compute linear determinantal representations of
smooth plane curves of any degree over any field. As particular examples, we
explicitly give representatives of all equivalence classes of linear
determinantal representations of two special quartics over the field
$mathbb{Q}$ of rational numbers, the Klein quartic and the Fermat quartic.
This paper is a summary of third author's talk at the JSIAM JANT workshop on
algorithmic number theory in March 2018. Details will appear elsewhere.

DOI： 10.14495/jsiaml.11.9

記述言語：英語   掲載種別：研究論文（学術雑誌）  

The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two
We give an application of Mumford's theory of canonical theta characteristics to a Diophantine problem in characteristic two. We prove that a smooth plane curve over a global field of characteristic two is defined by the determinant of a symmetric matrix with entries in linear forms in three variables if and only if such a symmetric determinantal representation exists everywhere. locally. It is a special feature in characteristic two because analogous results are not true in other characteristics. (C) 2016 Elsevier B.V. All rights reserved.

DOI： 10.1016/j.jpaa.2016.09.013

記述言語：英語   掲載種別：研究論文（学術雑誌）  

The local-global principle for symmetric determinantal representations of smooth plane curves
A smooth plane curve is said to admit a symmetric determinantal representation if it can be defined by the determinant of a symmetric matrix with entries in linear forms in three variables. We study the local-global principle for the existence of symmetric determinantal representations of smooth plane curves over a global field of characteristic different from two. When the degree of the plane curve is less than or equal to three, we relate the problem of finding symmetric determinantal representations to more familiar Diophantine problems on the Severi-Brauer varieties and mod 2 Galois representations, and prove that the local-global principle holds for conics and cubics. We also construct counterexamples to the local-global principle for quartics using the results of Mumford, Harris, and Shioda on theta characteristics.

DOI： 10.1007/s11139-016-9775-3

記述言語：英語   掲載種別：研究論文（学術雑誌）  

We prove that the defining equations of the Fermat curves of prime degree cannot be written as the determinant of symmetric matrices with entries in linear forms in three variables with rational coefficients. In the proof, we use a relation between symmetric matrices with entries in linear forms and non-effective theta characteristics on smooth plane curves. We also use some results of Gross-Rohrlich on the rational torsion points on the Jacobian varieties of the Fermat curves of prime degree.

DOI： 10.1142/S1793042116500597

記述言語：日本語  

"Algebraic Number Theory and Related Topics 2012". December 3～7, 2012. edited by Atsushi Shiho, Tadashi Ochiai and Noriyuki Otsubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.2748/tmj/1365452627

開催年月日： 2021年9月

記述言語：英語   会議種別：口頭発表（一般）  

開催地：オンライン   国名：日本国  

開催年月日： 2021年7月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：オンライン   国名：日本国  

平面四次曲線は超楕円的でない種数3の曲線の標準モデルであり、豊富な幾何的構造と対称性を持っている。一方でその数論幾何的な性質については課題も多い。本講演では、数論的な側面から見た平面四次曲線について、最近の共同研究からいくつかの話題を紹介したい。これらの話題は伊藤哲史氏（京都大学）、大下達也氏（群馬大学）、谷口隆氏（神戸大学）および内田幸寛氏（東京都立大学）との共同研究に基づいている。

記述言語：日本語  

国名：その他  

記述言語：日本語  

国名：その他  

記述言語：英語  

国名：その他  

Arithmetic of rotationally symmetric determinantal representations

記述言語：英語  

国名：その他  

記述言語：英語  

国名：その他  

Computation on linear determinantal representations

記述言語：英語  

国名：その他  

種別：査読等 

外国語雑誌　査読論文数：1