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Mathematics

Hochschild cohomology and deformation theory of stable infinity-categories with t-structures

 June 2025 PDF

Algebraic analysis of linear categories,   PDF

Research monograph,  Draft, February 2025

This book also includes the updated  contents of earlier manuscripts PDF ,  PDF ,  PDF  as part of the book.

Moduli theory associated to Hochschild pairs, PDF 

Updated 2025 (major revision)

Bogomolov-Tian-Todorov theorem for Calabi-Yau categories, PDF

Differential calculus of Hochschild pairs for infinity-categories,  

LINK

Picture of the operad DCyl 

Period mapping for noncommutative algebras ,  PDF 　

(dormant manuscript  superseded  by the above works based on robust theory),  

On the structure of Galois groups of mixed motives, PDF 

A note on etale realization with Galois action, PDF 

Motivic rational homotopy type, PDF 

Tannaka duality and stable infinity-categories,  PDF 

Bar construction and tannakization, PDF 

Tannakization in derived algebraic geometry, PDF 

Monoidal  infinity category of complexes from Tannakian viewpoint, PDF 

(with Hiroshi Fukuyama, Rakusei Highschool)

Note on local structures of Artin stacks, PDF 

Stable points on algebraic stacks, PDF 

Integral Chow rings of toric stacks, PDF 

The category of toric stacks, PDF 

Logarithmic geometry, minimal free resolutions and toric algebraic stacks, PDF 

Dominant rational maps in the category of log schemes, PDF 

(with Atsushi Moriwaki, Kyoto University)

Deformation theory of rigid-analytic spaces, PDF?

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