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Shane Kelly

東京工業大学 理学院 数学系

shanekelly アットマーク math 点 titech 点 ac.jp


代数幾何学、数論幾何学 (特にモチビック・コホモロジー;モチビック・ホモトピー論、K理論)

双有理幾何学、特異点の解消 (正の標数の微分形式で)




春学期 2019: 代数学概論(演習A)

春学期 2019: Étale cohomology (英語で)

冬学期 2018/2019: Algebraic cycles (英語で)

冬学期 2018/2019: Étale cohomology (英語で)

FU Berlin

冬学期 2017/2018: Mathematics of Data Science

冬学期 2017/2018: 整数論I

夏学期 2017: Topological data analysis

夏学期 2017: Infinity categories

冬学期 2016/2017: Étale cohomology

冬学期 2016/2017: Linear codes


(1) Voevodsky motives and ldh descent
Astérisque, 391. (2017)

(2) K-theory of valuation rings
(Matthew Morrowとの共同研究)
(2018) arXiv

(3) Mixed Motives and Geometric Representation Theory in Equal Characteristic
(Jens Niklas Eberhardtとの共同研究)
Selecta Mathematica 25:30 (2019) arXiv

(4) Un isomorphisme de Suslin
Bull. Soc. Math. Fr., 146, fascicule 4, pp 633-647. (2018) arXiv

(5) Points in algebraic geometry
(Ofer Gabberとの共同研究)
J. Pure Appl. Algebr., Volume 219, Issue 10, pp 4667-4680 (2015) arXiv

(6) Weight homology of motives
Int. Math. Res. Not. (13):3938-3984. (2017). arXiv

(7) Differential forms in positive characteristic II: cdh-descent via functorial Riemann-Zariski spaces
(Annette Huberとの共同研究)
Algebra Number Theory, 12, no. 3, 649–692. (2018) arXiv

(8) Differential forms in positive characteristic avoiding resolution of singularities
(Annette HuberStefan Kebekusとの共同研究)
Bull. Soc. Math. Fr., 145, fascicule 2, pp 305-343. (2017) arXiv

(9) The motivic Steenrod algebra in positive characteristic
(Marc HoyoisPaul Arne Østværとの共同研究)
J. Eur. Math. Soc., Volume 19, Issue 12, pp 3813-3849. (2017) arXiv

(10) Vanishing of Negative K-theory in positive characteristic
Compositio Mathematica, 150, pp 1425-1434. (2014) arXiv

(11) Some observations about motivic tensor triangulated geometry over a finite field
Surveys around Ohkawa's theorem on Bousfield classes (2016) arXiv

(12) A better comparison of cdh- and ldh-cohomologies
投稿済み (2018) arXiv


Triangulated categories of motives in positive characteristic
Australian National UniversityとUniversité de Paris-Nord 13の間のcotutelleの論文博士
指導教官: Denis-Charles CisinskiAmnon Neeman
(2012) arXiv


(12) Characterizing a family of elusive groups (Michael Giudiciとの共同研究)
Journal of Group Theory, 12(1). (2009)

(13) Constructions of intriguing sets of polar spaces from field reduction and derivation.
Designs, Codes and Cryptography, 43(1). (2007)

(14) Tight Sets and m-Ovoids of Polar Spaces (John BambergとMaska LawとTim Penttilaとの共同研究)
J. Combin. Theory Ser. A, 114(7). (2007)


Universal homeomorphisms of and not of finite presentation.pdf

What is the cdh topology?.pdf

このページの前のバージョンはTristan Buckmasterに盗まれました。:)