Sakai Keiichi

サカイケイイチ | Sakai Keiichi

Affiliation and department：
Homepage URL (1)： https://sites.google.com/view/keiichisakai/%E3%83%9B%E3%83%BC%E3%83%A0

Research field (1)： Geometry

Research keywords (10)： long embedding , knots , iterated loop spaces , Arnold invariants , Haefliger invariant , Vassiliev invariants , operad , graph , configuration space , embedding space

Research theme for competitive and other funds (8)：

2021 - 2026 The investigation of the non-triviality of string topology in a topological quantum field theory and differentiable stacks
2020 - 2025 Topology of the embedding spaces and the finite type invariants
2014 - 2018 Morse theory and topology of manifolds / groups of diffeomorphisms
2016 - 埋め込みのなす空間の位相幾何学から見る,有限型不変量の幾何学的解釈
2013 - 2016 幾何学的・代数的トポロジーの手法による埋め込みの空間の研究

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Papers (13)：

Saki Kanou, Keiichi Sakai. The Fox-Hatcher cycle and a Vassiliev invariant of order three. Pacific Journal of Mathematics. 2023. 323. 2. 281-306
Minori Okamura, Keiichi Sakai. Span of the Jones polynomials of certain v-adequate virtual links. Journal of Knot Theory and Its Ramifications. 2021
Sakai Keiichi, Sugiyama Ryutaro. Generalized connected sum formula for the Arnold invariants of generic plane curves. TOPOLOGY AND ITS APPLICATIONS. 2019. 255. 86-108
Moriya Syunji, Sakai Keiichi. The space of short ropes and the classifying space of the space of long knots. ALGEBRAIC AND GEOMETRIC TOPOLOGY. 2018. 18. 5. 2859-2873
Keiichi Sakai. BV-structures on the homology of the framed long knot space. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES. 2016. 11. 3. 425-441

ｍore...

MISC (2)：

Keiichi Sakai. Embedding spaces, configuration spaces and Vassiliev invariants. Sugaku Expositions. 2024. 37. 1. 53-77
境圭一. 埋め込みの空間,配置空間とVassiliev不変量. 数学. 2020. 72. 3. 285-309

Lectures and oral presentations (3)：

Lin-Wang type formula for the Haefliger invariant
(Workshop "Spaces of Embeddings: Connections and Applications" 2019)
The space of short ropes and the classifying space of the space of long knots
(65th Topology Symposium 2018)
The space of short ropes and the classifying space of the space of long knots
(59th Cascade Topology Seminar 2017)

Education (1)：

- 2007 The University of Tokyo Graduate School of Mathematical Sciences

Work history (5)：

2023/04 - 現在 Shinshu University
2016/04 - 現在 Shinshu University Department of Mathematics, Faculty of Science Associate Professor
2015/04 - 2016/03 Shinshu University Department of Mathematics, Faculty of Science Assistant Professor
2011/04 - 2015/03 Shinshu University Department of Mathematical Sciences, Faculty of Science Assistant Professor
2010/04 - 2011/03 Shinshu University JSPS research fellow (PD)

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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