Research theme for competitive and other funds (7)：
2009 - 現在 絶対数学とホモトピー論の関係
2007 - 現在 導来代数幾何とその応用
2017 - 代数幾何における階層構造の研究
2016 - モチビックホモトピー圏のthick subcategoryの探究
The Stable homotopy Seiberg-Witten invariants for 4 manifolds
Global problems, on the stable homotopy category,Especially,Hopkins'chromatic splitting conjecture
Global problems on the stable homotopy groups of the Sphere.Especially ,the Kervaire invariant one problem and the new doomsday conjecture
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Papers (42)：
南 範彦. On the nonexistence of the hierachy structure: lower rationality = higher ruledness, and very general hypersurfaces as examples. 数理解析研究所講究録. 2021. 2199. 9
南 範彦. On higher Fano varieties - a summary. 数理解析講究録. 2018. 2098
南 範彦. A handy chart to navigate a small part of Ayoub's Thesis on Grothendieck's six operations in the motivic stable homotopy categories. 京都大学数理解析研究所講究録. 2017. 2016. 8-131
Bousfield Classes and Ohkawa's Theorem - Nagoya, Japan, August 28-30, 2015 (Hardcover )
Springer 2020 ISBN:9789811515873
Bousfield Classes and Ohkawa's Theorem - Nagoya, Japan, August 28-30, 2015 (eBook)
Springer 2019 ISBN:9789811515880
朝倉数学辞典
朝倉書店 2016
Proceedings of the Nishida Fest (Kinosaki 2003)
mathematical sciences publishers 2007
岩波数学辞典第4版
岩波書店 2007 ISBN:4000803093
Lectures and oral presentations (131)：
Milnor-Witt sheaf について
(高知ホモトピー論談話会 2021)
Retract (-i) rationality and its necessary conditions expressed by certain coho- mology theories - Noether's problem of a finite group G over an algebraic closed field, as an example
(Algebraic Number Theory and Related Topics 2021)
