Rchr
J-GLOBAL ID:201101075726157479
Update date: Sep. 08, 2024
Kihara Takayuki
キハラ タカユキ | Kihara Takayuki
Affiliation and department:
Job title:
Associate professor
Homepage URL (2):
http://www.math.mi.i.nagoya-u.ac.jp/~kihara/index-j.html
,
http://www.math.mi.i.nagoya-u.ac.jp/~kihara/
Research keywords (9):
Foundations of Mathematics
, Mathematical Logic
, Computability Theory
, Descriptive Set Theory
, Reverse Mathematics
, Algorithmic Randomness
, Algorithmic Information Theory
, Computable Analysis
, Effective Topos
Research theme for competitive and other funds (10):
- 2024 - 2028 連続な空間上の計算とその複雑さの研究
- 2023 - 2028 連続な空間上の計算とその複雑さの研究
- 2022 - 2026 幾何様相に基づく構成的逆数学の新展開
- 2021 - 2025 様相ミュー計算と確率ゲームへの逆数学的アプローチ:ハイブリッド検査法の創出と分析
- 2020 - 2022 Effective descriptive set theory, computable analysis and automata
- 2019 - 2022 計算可能性理論,記述集合論,位相空間論における階層の究極的解析
- 2015 - 2020 Phase transitions of provability and supercritical propositions of reverse mathematics
- 2017 - 2019 空間に付随する計算論的構造の不変量としての側面
- 2012 - 2015 極限学習を用いた実効的閉集合の次数構造の解明
- 2010 - 2011 ランダム性と学習の理論による実効的閉次数構造の解明
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Papers (38):
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Mitsumasa Ikeda, Yoriyuki Yamagata, Takayuki Kihara. On the metric temporal logic for continuous stochastic processes. Logical Methods in Computer Science. 2024. 20. 2. 1-35
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Matthew de Brech, Takayuki Kihara, Victor Selivanov. Ideal presentations and numberings of some classes of effective quasi-Polish spaces. Computability. 2024
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Mathieu Hoyrup, Takayuki Kihara, Victor Selivanov. Degree spectra of homeomorphism types of compact Polish spaces. Journal of Symbolic Logic. 2024
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Nikolay Bazhenov, Takayuki Kihara, Svetlana Selivanova, Dieter Spreen. On the main scientific achievements of Victor Selivanov. Computability. 2023. 12. 4. 301-314
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Takayuki Kihara, Arno Pauly. De Groot duality for represented spaces. Lecture Notes in Computer Science. 2023. 13967. 89-101
more...
MISC (4):
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木原貴行. 実数の集合論とランダムネス(概説). 京都大学数理解析研究所講究録. 2013. 1832. 97-113
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木原貴行. ボレル関数の分解問題への計算論の応用. 京都大学数理解析研究所講究録. 2013. 1849. 32-36
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木原貴行. 連続体の計算可能性理論. 京都大学数理解析研究所講究録. 2011. 1729. 48-66
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木原貴行. 逆数学と逆再帰理論について. 京都大学数理解析研究所講究録. 2009. 1635. 51-59
Books (1):
-
Handbook of Computability and Complexity in Analysis
Springer 2021 ISBN:3030592332
Lectures and oral presentations (66):
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Degrees of unsolvability of natural problems: A realizability-theoretic approach
(Generalized Computability Theory 2024)
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Degrees of unsolvability of natural problems: A realizability-theoretic approach
(Twenty-First International Conference on Computability and Complexity in Analysis 2024)
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Degrees of Unsolvability: A Realizability-theoretic perspetive
(14th Panhellenic Logic Symposium 2024)
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On the Wadge degrees of Borel partitions
(Nankai Logic Colloquium 2024)
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計算可能な方法では得られない同相型
(第58回 MLG 数理論理学研究集会 2024)
more...
Works (8):
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ヒルベルトの第10問題とその仲間たち(数学者の選ぶ「とっておきの数学」)
木原貴行 2023 - 2023
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数学における《計算可能性》の厳密化、抽象化、そして発展(現代思想2023年7月号)
木原貴行 2023 - 2023
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記述集合論/ボレル集合を超えて(数理科学 2022年6月号)
2022 - 2022
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数学基礎論と計算可能性(数理科学 2021年8月号)
木原貴行 2021 - 2021
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逆数学のこころ/白黒ではなく色鮮やかに(数学セミナー 2021年2月号)
2021 -
more...
Education (3):
- 2009 - 2011 Tohoku University Mathematical Institute Ph.D.
- 2007 - 2009 Tohoku University Mathematical Institute M.S.
- 2003 - 2007 Tohoku University Mathematical Institute B.S.
Professional career (1):
- Ph.D. (Tohoku University)
Work history (7):
- 2020/03 - 現在 Nagoya University Graduate School of Informatics Department of Mathematical Informatics Associate Professor
- 2017/04 - 2020/02 Nagoya University Graduate School of Informatics Department of Mathematical Informatics Lecturer
- 2018/10 - 2019/03 Nanyang Technological University School of Physical and Mathematical Sciences Visiting Scholar
- 2015/05 - 2017/03 University of California, Berkeley Department of Mathematics JSPS Postdoc
- 2012/04 - 2015/03 JAIST JSPS Postdoc
- 2011/04 - 2012/03 Tohoku University Mathematical Institute JSPS Postdoc
- 2010/04 - 2011/03 Tohoku University Mathematical Institute JSPS research fellow DC2
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Awards (3):
- 2013/01 - European Association for Theoretical Computer Science (EATCS), Japan Chapter LA/EATCS JAPAN Best Presentation Award
- 2011/03 - Kawai Mathematical Sciences Foundation (Mathematical Institute, Tohoku University) Kawai Prize for Ph.D. thesis
- 2009/03 - Kawai Mathematical Sciences Foundation (Mathematical Institute, Tohoku University) Excellent Review Paper Award
Association Membership(s) (3):
Association for Symbolic Logic
, European Association for Theoretical Computer Science
, 日本数学会
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