From exceptional sets to non-free sections

谷本 祥

数理解析研究所講究録   Vol. -   2024

Rational curves on del Pezzo surfaces in positive characteristic Reviewed International coauthorship International journal Open Access

Roya Beheshti, Brian Lehmann, Eric Riedl, Sho Tanimoto

Transactions of the American Mathematical Society, Series B   Vol. 10   page： 407 - 451   2023.3

Classifying sections of del Pezzo fibrations, II Reviewed International coauthorship International journal

Brian Lehmann, Sho Tanimoto

Geometry & Topology   Vol. 26 ( 6 ) page： 2565 - 2647   2022.12

Moduli spaces of rational curves on Fano threefolds Reviewed International coauthorship International journal Open Access

Roya Beheshti, Brian Lehmann, Eric Riedl, Sho Tanimoto

Advances in Mathematics   Vol. 408   page： 108557   2022.10

Geometric consistency of Manin's Conjecture Reviewed International coauthorship International journal Open Access

Brian Lehmann, Akash Kumar Sengupta, Sho Tanimoto

Compositio Mathematica   Vol. 158 ( 6 ) page： 1375 - 1427   2022.8

On Manin's conjecture Invited Reviewed

Sho Tanimoto

Sugaku     2022

Campana points of bounded height on vector group compactifications Reviewed International coauthorship

M. Pieropan, A. Smeets, S. Tanimoto, A. Varilly-Alvarado

Proceedings of the London Mathematical Society   Vol. 123 ( 1 ) page： 57 - 101   2021.7

Rational curves on prime Fano threefolds of index 1 Reviewed International coauthorship International journal

Brian Lehmann, Sho Tanimoto

Journal of Algebraic Geometry   Vol. 30 ( 1 ) page： 151 - 188   2021.1

Zero-loci of Brauer group elements on semi-simple algebraic groups Reviewed International coauthorship International journal

Daniel Loughran, Ramin Takloo-Bighash, Sho Tanimoto

Journal of the Institute of Mathematics of Jussieu   Vol. 19 ( 5 ) page： 1467 - 1507   2020.9

On upper bounds of Manin type Reviewed International journal

Sho Tanimoto

Algebra & Number Theory   Vol. 14 ( 3 ) page： 731 - 761   2020.5

Kodaira dimension of moduli of special cubic fourfolds Reviewed International coauthorship International journal

Tanimoto S, V\'arilly-Alvarado, A

Journ. Reine und Angew. Math.   Vol. 2019 ( 752 ) page： 265 - 300   2019.7

Geometric Manin's Conjecture and rational curves Reviewed International coauthorship International journal

Brian Lehmann, Sho Tanimoto

Compositio Mathematica   Vol. 155 ( 5 ) page： 833 - 862   2019.5

Balanced line bundles on Fano varieties Reviewed International coauthorship International journal

Lehmann, B. Tanimoto, S, Tschinkel, Y

Journ. Reine und Angew. Math.   Vol. 2018 ( 743 ) page： 91 - 131   2018.10

ON THE GEOMETRY OF THIN EXCEPTIONAL SETS IN MANIN'S CONJECTURE Reviewed International coauthorship International journal

Brian Lehmann, Sho Tanimoto

DUKE MATHEMATICAL JOURNAL   Vol. 166 ( 15 ) page： 2815 - 2869   2017.10

Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces Reviewed International coauthorship International journal

Brendan Hassett, Sho Tanimoto, Yuri Tschinkel

INTERNATIONAL MATHEMATICS RESEARCH NOTICES   Vol. 2015 ( 15 ) page： 6375 - 6410   2015

Non-free curves on Fano varieties Reviewed International coauthorship International journal

Brian Lehmann, Eric Riedl, Sho Tanimoto

Osaka Journal of Mathematics   Vol. 62 ( 1 ) page： 19 - 50   2025.3

Corrigenda to ``Rational curves on prime Fano threefolds of index 1'' Reviewed International coauthorship International journal

Eric Jovinelly, Brian Lehmann, Sho Tanimoto

Journal of Algebraic Geometry   Vol. 34 ( 3 ) page： 535 - 542   2025

From exceptional sets to non-free sections Invited

Sho Tanimoto

RIMS Kokyuroku "Algebraic Number Theory and Related Topics 2023"   Vol. 2295   page： 111 - 122   2024.10

The spaces of rational curves on del Pezzo threefolds of degree one Reviewed International journal Open Access

Nobuki Shimizu, Sho Tanimoto

European Journal of Mathematics   Vol. 8 ( 1 ) page： 291 - 308   2022.3

An introduction to Geometric Manin's conjecture Invited

Sho Tanimoto

Proceedings of Miyako-no-Seihoku Algebraic Geometry Symposium 2021, ``Positivity of tangent bundles and related topics''     page： 102 - 118   2021.12

Campana points, Height zeta functions, and log Manin's conjecture

Sho Tanimoto

RIMS Kokyuroku   Vol. 2196   page： 26 - 36   2021.9

Unramified Brauer groups and rationality problems of invariant fields Invited

Sho Tanimoto

Proceedings of 27th Number Theory Summer School 2019 ``Constructive inverse Galois problem and rationality of invariant fields''     page： 255 - 266   2020.2

Movable Bend and Break for sections of del Pezzo fibrations Invited

Sho Tanimoto

Proceedings of 64th Algebra Symposium 2019     page： 209 - 220   2020.2

On exceptional sets in Manin’s Conjecture Reviewed International coauthorship International journal

Brian Lehmann, Sho Tanimoto

Research in the Mathematical Sciences   Vol. 6   2019.3

Geometric aspects of Manin's Conjecture Invited

Sho Tanimoto

Proceedings of Kinosaki Algebraic Geometry Symposium 2018     2019.1

Abelian Calabi–Yau threefolds: Néron models and rational points Reviewed International coauthorship International journal

Fedor Bogomolov, Lars Halvard Halle, Fabien Pazuki, Sho Tanimoto

Mathematical Research Letters   Vol. 25 ( 2 ) page： 367 - 392   2018.7

Effective bounds for Brauer groups of Kummer surfaces over number fields Reviewed International coauthorship International journal

Victoria Cantoral-Farfán, Yunqing Tang, Sho Tanimoto, Erik Visse

Journal of the London Mathematical Society   Vol. 97 ( 3 ) page： 353 - 376   2018.6

Brauer groups on K3 surfaces and arithmetic applications Reviewed International coauthorship International journal

McKinnie K, Sawon J, Tanimoto S, V\'arilly-Alvarado A

Brauer groups and obstruction problems: moduli spaces and arithmetic     2017

Distribution of rational points of bounded height on equivariant compactifications of PGL_2 I Reviewed International coauthorship International journal

Takloo-Bighash R, Tanimoto S

Research in Number Theory   Vol. 2   2016.3

The distribution of S-integral points on SL2-orbit closures of binary forms Reviewed International coauthorship International journal

S. Tanimoto, J. Tanis

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES   Vol. 92 ( 3 ) page： 760 - 777   2015.12

Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups Reviewed International coauthorship International journal

Sho Tanimoto, Yuri Tschinkel

ZETA FUNCTIONS IN ALGEBRA AND GEOMETRY   Vol. 566   page： 119 - 157   2012

Campana rational connectedness and weak approximation Invited International conference

Sho Tanimoto

Higher Dimensional Geometry  2024.5.9  Simons Center for Geometry and Physics

Sections of Fano fibrations over curves Invited International conference

Sho Tanimoto

BIRS-CMI workshop: New Directions in Rational Points  2024.1.10  Chennai Mathematical Institute

From exceptional sets to non-free sections Invited International conference

Sho Tanimoto

Algebraic Number Theory and Related Topics 2023  2023.12.12  RIMS, Kyoto University

Sections of Fano fibrations over curves Invited

Sho Tanimoto

Niigata Algebra Symposium  2023.12.6  Niigata University

Sections of Fano fibrations over curves Invited International conference

Sho Tanimoto

Junior Trimester Program on Algebraic Geometry: Derived categories, Hodge Theory and Chow Groups, Birational workshop  2023.11.21  Hausdorff Research Institute for Mathematics

Non-free sections of Fano fibrations Invited International conference

Sho Tanimoto

Fano varieties, their Geometry and Moduli  2023.11.1  KIAS

Exceptional sets in Manin’s conjecture and their applications to algebraic geometry Invited

Sho Tanimoto

Algebra section, MSJ Autumn Meeting 2023  2023.9.21  Mathematical Society of Japan

From exceptional sets to non-free sections Invited International conference

Sho Tanimoto

Recent Trends in Algebraic Geometry  2023.6.22  Mathematisches Forschungsinstitut Oberwolfach

Non-free sections of Fano fibrations Invited International conference

Sho Tanimoto

The 21st Affine Algebraic Geometry Meeting  2023.3.3  Saitama University

From exceptional sets to non-free curves Invited International conference

Sho Tanimoto

Simons Symposium on Geometry of Arithmetic Statistics  2022.9.1  Simons Foundation

Rational curves on del Pezzo surfaces in characteristic p Invited

Sho Tanimoto

Miyako-no-Seihoku Algebraic Geometry Symposium 2021  2021.8.19  Waseda University

Classifying rational curves on Fano threefolds Invited International conference

Sho Tanimoto

The 19th Affine Algebraic Geometry Meeting  2021.3.3  Saitama University

Some updates on thin exceptional sets in Manin’s conjecture Invited International conference

Sho Tanimoto

IML program “Number Theory: Rational points”  2021.4.21  Institut Mittag-Leffler

Campana points, Height zeta functions, and log Manin's conjecture

Sho Tanimoto

Problems and Prospects in Analytic Number Theory  2020.11.24  Research Institute for Mathematical Sciences

Arithmetic applications of Brauer groups on degree 2 K3 surfaces Invited International conference

Sho Tanimoto

FRG Workshop on Arithmetic and geometry of rational curves  2013.9  Rice University

Balanced line bundles Invited International conference

Sho Tanimoto

CARP: Collaborations Around Rational Points  2014.1  Bellairs Research Institute

Distribution of S-integral points on SL2-orbit closures of binary forms

Sho Tanimoto

13th Hiroshima-Sendai Workshop on Number Theory at Sendai  2014.7  Tohoku University

Exceptional sets in Manin’s conjecture Invited International conference

Sho Tanimoto

N-Cube Days V  2016.11  University of Gothenburg

Geometric consistency of Manin’s Conjecture Invited International conference

Sho Tanimoto

Rational Points on Schiermonnikoog,  2018.7 

Geometric consistency of Manin’s Conjecture Invited International conference

Sho Tanimoto

Kinosaki Algebraic Geometry Symposium 2018  2018.10.25 

K3 surfaces and special cubic fourfolds International conference

Sho Tanimoto

miniPAGES Introductory school: Varieties of Calabi-Yau type  2016.4  Banach center in Warsaw

Log Manin’s conjecture for klt Campana points Invited International conference

Sho Tanimoto

Rational and Integral Points via Analytic and Geometric Methods  2018.5  Casa Matemática Oaxaca (CMO)

Manin’s conjecture and balanced line bundles Invited International conference

Sho Tanimoto

AMS Special Session on Rational points on Varieties  2012.1  Joint Mathematics Meetings, Boston

Movable Bend and Break for sections of del Pezzo fibrations Invited International conference

Sho Tanimoto

Algebra Symposium  2019.9.5  Tohoku University

On exceptional sets in Manin’s conjecture Invited

Sho Tanimoto

Hiroshima-Okayama Algebra seminar in Kumamoto  2018.3  Kumamoto University

On the geometry of exceptional sets in Manin’s conjecture Invited International conference

Sho Tanimoto

Bogomolov 70 conference  2016.9  Higher School of Economics

On the geometry of exceptional sets in Manin’s conjecture Invited International conference

Sho Tanimoto

Arithmetic and Algebraic Geometry  2016.12  University of Tokyo

On the geometry of thin exceptional sets in Manin’s conjecture International conference

Sho Tanimoto

miniPAGES Varieties with trivial canonical bundles  2016.6  the Institute of Mathematics of the Polish Academy of Sciences

Sections of del Pezzo fibrations over P^1 Invited International conference

Sho Tanimoto

Rational points on Fano and similar varieties  2019.5.20  Institute Henri Poincare

Sections of del Pezzo fibrations over P^1 International conference

Sho Tanimoto

SQuaRE workshop: Geometric Manin's conjecture in characteristic p  2019.6.11  American Institute of Mathematics

Sections of del Pezzo fibrations over P^1 Invited International conference

Sho Tanimoto

Rationality problems in algebraic geometry  2019.8.1  American Institute of Mathematics

The space of rational curves and height zeta functions Invited International conference

Sho Tanimoto

Fourth International Workshop on Zeta Functions in Algebra and Geometry  2017.5  Bielefeld University

The space of rational curves and Manin’s conjecture Invited International conference

Sho Tanimoto

Rational points and Zariski density  2017.11  University of Copenhagen

Thin exceptional sets in Manin’s conjecture Invited International conference

Sho Tanimoto

Positivity in Algebraic Geometry  2018.6  Yonsei University

Thin exceptional sets in Manin’s conjecture Invited

Sho Tanimoto

Younger generations in Algebraic and Complex geometry V  2018.8 

Thin exceptional sets in Manin’s Conjecture Invited International conference

Sho Tanimoto

Connection for Algebraic Geometers  2018.11.21  Shanghai Center for Mathematical Science

Towards a refinement of Manin’s conjecture International conference

Sho Tanimoto

AMS Summer Institute in Algebraic Geometry  2015.7  University of Utah

Towards a refinement of Manin’s conjecture Invited International conference

Sho Tanimoto

Arithmetic Geometry Days  2015.11  University of Copenhagen

Towards a refinement of Manin’s conjecture Invited International conference

Sho Tanimoto

Belgian-Dutch Algebraic Geometry seminar  2016.4  University of Leuven

Zero-loci of Brauer elements on semisimple groups Invited International conference

Sho Tanimoto

Atkin workshop  2017.4  University of Illinois Chicago

Unramified Brauer groups and rationality problems of invariant fields Invited

Sho Tanimoto

27-th Number theory Summer School  2019.9.9  Sakata

Research on rational and integral points via Higher Dimensional Algebraic Geometry

2019.4 - 2021.3

Inamori Foundation  Research Grants 

Sho Tanimoto

Higher Dimensional Arithmetic Geometry

2017.11 - 2022.3

MEXT Japan  Leading Initiative for Excellent Young Researchers (LEADER) 

Sho Tanimoto

FOREST program Place for Fusion: Breakthroughs and Potentials of Deep Learning II

Role(s)：Planning, management, etc.

Kazuaki Tanaka  （ Waseda University ） 2023.9

SQuaRE workshop on Geometric Manin’s conjecture in positive characteristic IV International contribution

Role(s)：Planning, management, etc.

Brian Lehmann, Sho Tanimoto  （ American Institute of Mathematics ） 2023.7

CMND 2023 Thematic Program on Rationality and Hyperbolicity International contribution

Role(s)：Planning, management, etc.

Roya Beheshti, Izzet Coskun, Brian Lehmann, Eric Riedl, Sho Tanimoto  （ University of Notre Dame ） 2023.6

FOREST program Place for Fusion: Breakthroughs and potentials of Deep Learning

Role(s)：Planning, management, etc.

Kazuaki Tanaka, Sho Tanimoto  （ Zoom ） 2023.5

K3, Enriques Surfaces, and Related Topics

Role(s)：Planning, management, etc.

Akira Ishii, Shigo Taki, Sho Tanimoto  （ Nagoya University ） 2023.3

Special session in Arithmetic geometry: theory and computation in the Pacific Rim Mathematical Association Congress 2022 International contribution

Role(s)：Planning, management, etc.

Sho Tanimoto, Bianca Viray  （ Pacific Institute for Mathematical Sciences ） 2022.12

Rationality, Moduli Spaces, and Related Topics International contribution

Role(s)：Planning, management, etc.

Sho Tanimoto, Shigeyuki Kondo  （ Nagoya University ） 2022.11

Editor: Nagoya Mathematical Journal

Role(s)：Review, evaluation

2022.10

SQuaRE workshop Geometric Manin’s conjecture in characteristic p III International contribution

Role(s)：Planning, management, etc.

Brian Lehmann, Sho Tanimoto  （ American Institute of Mathematics ） 2022.4

PRIMA 2021 Summer School: Rational curves and Moduli spaces in arithmetic geometry International contribution

Role(s)：Planning, management, etc.

Katrina Honigs, Sho Tanimoto, and Bianca Viray  （ Pacific Insitiute for the Mathematical Sciences (Zoom) ） 2021.8

Geometry via Arithmetic International contribution

Role(s)：Planning, management, etc.

Brian Lehmann, Tim Browning, David McKinnon, Sho Tanimoto  （ Banff International Research Station (Zoom) ） 2021.7

SQuaRE workshop Geometric Manin’s conjecture in characteristic p II International contribution

Role(s)：Planning, management, etc.

Brian Lehmann and Sho Tanimoto  （ American Institute of Mathematics (Zoom) ） 2021.6

Associate Editor: Nagoya Mathematical Journal

Role(s)：Review, evaluation

2021.1 - 2022.10

Editor: Kumamoto Journal of Mathematics

Role(s)：Review, evaluation

2020 - 2021.3