Nakai Hirofumi

ナカイヒロフミ | Nakai Hirofumi

Affiliation and department：
Job title： Associate Professor

Research field (1)： Geometry

Research keywords (7)：代数的位相幾何学 , ホモトピー論 , Adams-Novikovスペクトル系列 , Brown-Peterson理論 , algebraic topology , stable homotopy theory , Brown-Peterson theory

Research theme for competitive and other funds (4)：

2010 - 2013 球面のホモトピー群の周期的元に関する研究
2004 - 2007 BP理論を用いた有限スペクトラムの安定ホモトピー群の研究
Formal group laws and Hopf algebroids associated to algebraic curves, and those relations with generalised cohomology theories
Homotopy groups of finite CW complex from the viewpoints of Brown-Peterson theory

Papers (19)：

Hirofumi Nakai, Douglas C. Ravenel. The method of infinite descent in stable homotopy theory II. New York Journal of Mathematics. 2024. 30. 1. 231-269
Hirofumi Nakai. A Simple Formula for Doomsday. The Mathematical Intelligencer. 2022. 45. 2. 131-132
On the Stable Homotopy Groups of Certain James Constructions. 2014. 7. 1. 111-120
中井洋史. ラムダ代数を用いたAdams $E_{2}$項の元の表示. 東京都市大学共通教育センター紀要. 2013. 6. 1. 81-93
Chromatic method in motivic homotopy category. 2012. 5. 1. 43-56

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Books (2)：

世界を読み解くリテラシー
萌書房 2010 ISBN:4860650549
近代ホモトピー論 (1940年代から1960年代まで) /土屋昭博述, 中井洋史記
Graduate School of Mathematical Sciences, the University of Tokyo 2009

Lectures and oral presentations (49)：

Real Johnson-Wilson homology groups of few cell spectra
(2020)
同変一般コホモロジー論における双対性の周辺
(高知ホモトピー論談話会 2019)
Toward the united Johnson-Wilson theory
(2019)
On the structure maps of united Johnson-Wilson theory
(2019)
A variant of Johnson-Wilson theory
(高知ホモトピー論談話会 2018)

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Education (3)：

1995 - 2000 Osaka City University
1993 - 1995 Osaka City University
1989 - 1993 Tottori University

Professional career (1)：

(BLANK) (Osaka City University)

Work history (7)：

2020 - 現在 Tokyo City University Faculty of Science and Engineering, Department of Natural Sciences
2009/04 - 2020/03 Tokyo City University Faculty of Knowledge Engineering, Department of Natural Sciences
2008/04 - 2009/03 武蔵工業大学知識工学部リテラシー学群自然科学系列准教授
2007/04 - 2008/03 武蔵工業大学知識工学部リテラシー学群自然科学系列講師
2006/09 - 2007/03 武蔵工業大学工学部教育研究センター講師

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Association Membership(s) (2)：

The Mathematical Society of Japan , American Mathematical Society

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