Shane Kelly

I am a mathematician. I have a lab at the University of Tokyo.

research

My research area is algebraic geometry. More precisely, algebraic K-theory, motivic homotopy theory, and applications to representation theory.

Ph.D. thesis

Triangulated categories of motives in positive characteristic
PhD thesis cotutelle between Université de Paris-Nord 13 and Australian National University
jointly supervised by Denis-Charles Cisinski and Amnon Neeman (2012) arXiv

articles written as an undergraduate

Characterizing a family of elusive groups
(with Michael Giudici)
Journal of Group Theory, 12(1). (2009)
Constructions of intriguing sets of polar spaces from field reduction and derivation.
Designs, Codes and Cryptography, 43(1). (2007)
Tight Sets and m-Ovoids of Polar Spaces
(with John Bamberg, Maska Law, and Tim Penttila)
J. Combin. Theory Ser. A, 114(7). (2007)

conference

courses

Univeristy of Tokyo

Spring Semester 2025:
Derived algebraic geometry
Linear algebra S1 (in japanese)
Linear algebra S2 (in japanese)
The Mechanics of Proof (seminar in Japanese)

Spring Semester 2024:
(Pro)Étale cohomology

Spring Semester 2024:
Linear algebra S1 (in japanese)
Linear algebra S2 (in japanese)

Autumn Semester 2023/2024:
Derived algebraic geometry

Spring Semester 2023:
Linear algebra for liberal arts students (in japanese)

Autumn Semester 2022/2023:
Linear algebra (in japanese)

Autumn Semester 2022/2023:
Derived algebraic geometry

Autumn Semester 2021/2022:
Linear algebra (in japanese)

Tokyo Tech

Autumn Semester 2021/2022:
Fundamentals of data science
Autumn Semester 2021/2022:
Exercises in algebra (in japanese)
Spring Semester 2021:
(Pro)Étale cohomology
Spring Semester 2021:
Linear algebra (in japanese) (OCW)
Autumn Semester 2020/2021:
Fundamentals of data science
Autumn Semester 2020/2021:
(Pro)Étale cohomology
Autumn Semester 2020/2021:
Second year algebra (TA / in japanese)
Spring Semester 2020:
Third year algebra (lectures / in japanese)
Autumn Semester 2019/2020:
Second year algebra (TA / in japanese)
Spring Semester 2019:
Second year algebra (TA / in japanese)
Spring Semester 2019:
(Pro)Étale cohomology
Autumn Semester 2018/2019:
Algebraic cycles
Autumn Semester 2018/2019:
(Pro)Étale cohomology

FU Berlin

Winter Semester 2017/2018:
Mathematics of Data Science
Winter Semester 2017/2018:
Number theory I
Summer Semester 2017:
Topological data analysis
Summer Semester 2017:
Infinity categories
Winter Semester 2016/2017:
Étale cohomology
Winter Semester 2016/2017:
Linear codes

contact

Shane Kelly
Associate Professor

Graduate School of Mathematical Sciences
University of Tokyo
3-8-1 Komaba Meguro-ku
Tokyo 153-8914, Japan

shanekelly at g.ecc dot u-tokyo dot ac.jp

ORCID iD: 0000-0001-8789-4438

other

Two new motivic complexes for non-smooth schemes (arxiv:2405.14340)
A user's guide to Voevodsky correspondences.pdf
Valuative tosets.pdf
Universal homeomorphisms of and not of finite presentation.pdf
What is the cdh topology?.pdf
What is the relationship between Grothendieck pretopologies and Grothendieck topologies?.pdf
Limits in EGA
Formula generator
A fast track guide to regular cardinals.pdf
A letter to Miyazaki, Dec,2020
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