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Shane Kelly
Associate Professor
Department of Mathematics
Tokyo Institute of Technology
2121 Ookayama, Meguroku
Tokyo 1528551, Japan
shane dot kelly dot uni at gmail dot com
current research interests
Arithmetic algebraic geometry (specfically motivic cohomology; motivic homotopy theory, Ktheory, algebraic cycles)
Birational geometry, resolution of singularities (via differential forms in positive characteristic)
Modular representation theory (via stratified mixed Tate motives)
Winter Semester 2016/2017: Linear codes
Winter Semester 2016/2017: Étale cohomology
Summer Semester 2017: Infinity categories
Summer Semester 2017: Topological data analysis
Winter Semester 2017/2018: Number theory I
Winter Semester 2017/2018: Mathematics of Data Science
articles
(1) Voevodsky motives and ldh descent
Astérisque, 391. (2017)
(2) Mixed Motives and Geometric Representation Theory in Equal Characteristic (with
Jens Niklas Eberhardt)
Submitted
(2016)
arXiv
(3) Un isomorphisme de Suslin
Bull. Soc. Math. Fr., accepted. (2016)
arXiv
(4) Points in algebraic geometry (with Ofer Gabber)
J. Pure Appl. Algebr., Volume 219, Issue 10, pp 46674680 (2015) arXiv
(5) Weight homology of motives (with Shuji Saito)
Int. Math. Res. Not. (13):39383984. (2017).
arXiv
(6) Differential forms in positive characteristic II: cdhdescent via functorial RiemannZariski spaces
(with Annette Huber)
Algebra Number Theory, accepted. (2018)
arXiv
(7) Differential forms in positive characteristic avoiding resolution of singularities
(with Annette Huber and Stefan Kebekus)
Bull. Soc. Math. Fr., 145, fascicule 2, pp 305343. (2017)
arXiv
(8) The motivic Steenrod algebra in positive characteristic
(with
Marc Hoyois
and
Paul Arne Østvær)
J. Eur. Math. Soc., Volume 19, Issue 12, pp 38133849. (2017) arXiv
(9) Vanishing of Negative Ktheory in positive characteristic
Compositio Mathematica, 150, pp 14251434.
(2014)
arXiv
(10) Some observations about motivic tensor triangulated geometry over a finite field
Surveys around Ohkawa's theorem on Bousfield classes (2016) arXiv
Ph.D. thesis
Triangulated categories of motives in positive characteristic
PhD thesis cotutelle between Université de ParisNord 13 and Australian National University
jointly supervised by DenisCharles Cisinski and Amnon Neeman (2012)
arXiv
undergraduate
(11) Characterizing a family of elusive groups (with Michael Giudici)
Journal of Group Theory, 12(1). (2009)
(12) Constructions of intriguing sets of polar spaces from field reduction and derivation. Designs, Codes and Cryptography, 43(1). (2007)
(13) Tight Sets and mOvoids of Polar Spaces (with
John Bamberg, Maska Law, and Tim Penttila)
J. Combin. Theory Ser. A, 114(7). (2007)
other
What is the cdh topology?.pdf
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