Updated on 2026/01/31

写真a

 
TANIMOTO Sho
 
Organization
Graduate School of Mathematics Division of Mathematics Fundamental Mathematics Professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science Department of Mathematics
Title
Professor
External link

Degree 2

  1. Ph. D. ( 2012.5   New York University ) 

  2. M. S. ( 2010.5   New York University ) 

Research Interests 8

  1. rational curves

  2. moduli spaces

  3. diophantine geometry

  4. algebraic geometry

  5. birational geometry

  6. arithmetic geometry

  7. the minimal model program

  8. rational points

Research Areas 1

  1. Natural Science / Algebra  / Algebraic geometry and Arithmetic Geometry

Research History 5

  1. Nagoya University   Graduate School of Mathematics   Professor

    2024.4

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  2. Nagoya University   Graduate School of Mathematics   Associate Professor

    2021.4 - 2024.3

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  3. Kumamoto University   Priority organization for Innovation and Excellence   Associate Professor

    2018.1 - 2021.3

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  4. University of Copenhagen   Department of Mathematical Sciences   PostDoc

    2015.7 - 2017.12

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  5. Rice University   Department of Mathematics   G. C. Evans instructor

    2012.7 - 2015.6

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Education 1

  1. New York University   Courant Institute of Mathematical Sciences   Department of Mathematics

    2007.9 - 2012.5

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Professional Memberships 2

  1. American Mathematical Society

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  2. THE MATHEMATICAL SOCIETY OF JAPAN

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Committee Memberships 1

  1. Mathematical Society of Japan   Local delegate  

    2022.3 - 2023.2   

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    Committee type:Academic society

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Awards 3

  1. FOREST researcher

    2022.4   Japan Science and Technology Agency  

    Sho Tanimoto

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  2. Excellent Young Researcher

    2017.11   MEXT Japan  

    Sho Tanimoto

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  3. Wilhelm Magnus Memorial Prize

    2012.4   Courant Institute of Mathematical Sciences  

    Sho Tanimoto

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Papers 41

  1. Codimension of jumping loci Reviewed International coauthorship International journal Open Access

    Brian Lehmann, Eric Riedl, Sho Tanimoto

    Journal of Algebraic Geometry   Vol. 34 ( 4 ) page: 755 - 814   2025.7

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    Language:English   Publishing type:Research paper (scientific journal)  

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    DOI: 10.1090/jag/852

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  2. Campana points on wonderful compactifications Reviewed International coauthorship International journal

    Dylon Chow, Daniel Loughran, Ramin Takloo-Bighash, Sho Tanimoto

    Mathematische Annalen     2025

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    Language:English  

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  3. Intermediate Jacobians and linearizability Reviewed International coauthorship International journal

    Tudor Ciurca, Sho Tanimoto, Yuri Tschinkel

    Kyoto Journal of Mathematics     2025

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

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  4. Campana rational connectedness and weak approximation Reviewed International coauthorship International journal

    Qile Chen, Brian Lehmann, Sho Tanimoto

    Algebraic Geometry     2025

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    to appear

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  5. Non-free sections of Fano fibrations Reviewed International coauthorship International journal

    Brian Lehmann, Eric Riedl, Sho Tanimoto

    Memoirs of the American Mathematical Society     2025

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    to appear

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  6. On the asymptotic enumerative property for Fano manifolds Reviewed International coauthorship International journal Open Access

    Roya Beheshti, Brian Lehmann, Carl Lian, Eric Riedl, Jason Starr, Sho Tanimoto

    Forum of Mathematics, Sigma   Vol. 12 ( e112 )   2024.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    to appear

    DOI: 10.1017/fms.2024.87

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    CiNii Research

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  7. FROM EXCEPTIONAL SETS TO NON-FREE SECTIONS (Algebraic Number Theory and Related Topics) Open Access

    Tanimoto Sho

    RIMS Kokyuroku   Vol. 2295   page: 111 - 122   2024.10

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    Language:English  

    This is a report of the author's talk at RIMS workshop Algebraic Number Theory and Related Topics 2023 which was held at RIMS Kyoto University during December 11th-15th 2023. We discuss recent results on exceptional sets in Manin's conjecture as well as their applications to moduli spaces of sections of Fano fibrations. This paper is an English translation of the author's extended abstract [Tan23].

    Open Access

    CiNii Research

  8. Classifying sections of del Pezzo fibrations, I Reviewed International coauthorship International journal Open Access

    Brian Lehmann, Sho Tanimoto

    Journal of the European Mathematical Society   Vol. 26 ( 1 ) page: 289 - 354   2024.2

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    Language:English   Publishing type:Research paper (scientific journal)  

    online publication

    DOI: 10.4171/JEMS/1363

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  9. From exceptional sets to non-free sections Open Access

    谷本 祥

    数理解析研究所講究録   Vol. -   2024

  10. 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    to appear

    DOI: 10.1090/btran/138

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  11. Classifying sections of del Pezzo fibrations, II Reviewed International coauthorship International journal Open Access

    Brian Lehmann, Sho Tanimoto

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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2140/gt.2022.26.2565

    DOI: 10.2140/gt.2022.26.2565

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  12. 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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1112/S0010437X22007588

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  13. 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 part A   page: 108557   2022.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.aim.2022.108557

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  14. On Manin's conjecture Invited Reviewed

    Sho Tanimoto

    Sugaku     2022

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    Authorship:Corresponding author   Language:Japanese   Publishing type:Research paper (scientific journal)  

    to appear

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  15. Campana points of bounded height on vector group compactifications Reviewed International coauthorship Open Access

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

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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1112/plms.12391

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  16. Rational curves on prime Fano threefolds of index 1 Reviewed International coauthorship International journal Open Access

    Brian Lehmann, Sho Tanimoto

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/jag/751

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

    Daniel Loughran, Ramin Takloo-Bighash, Sho Tanimoto

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1017/S1474748018000440

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  18. On upper bounds of Manin type Reviewed International journal

    Sho Tanimoto

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2140/ant.2020.14.751

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  19. On upper bounds of Manin type

    Tanimoto, S

    ALGEBRA & NUMBER THEORY   Vol. 14 ( 3 ) page: 731 - 761   2020

  20. Kodaira dimension of moduli of special cubic fourfolds Reviewed International coauthorship International journal Open Access

    Tanimoto S, V\'arilly-Alvarado, A

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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/crelle-2016-0053

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  21. Geometric Manin's Conjecture and rational curves Reviewed International coauthorship International journal Open Access

    Brian Lehmann, Sho Tanimoto

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

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1112/S0010437X19007103

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  22. Balanced line bundles on Fano varieties Reviewed International coauthorship International journal Open Access

    Lehmann, B. Tanimoto, S, Tschinkel, Y

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/crelle-2015-0084

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

    Brian Lehmann, Sho Tanimoto

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

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:DUKE UNIV PRESS  

    DOI: 10.1215/00127094-2017-0011

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    Other Link: http://orcid.org/0000-0002-1884-7934

  24. Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces Reviewed International coauthorship International journal Open Access

    Brendan Hassett, Sho Tanimoto, Yuri Tschinkel

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:OXFORD UNIV PRESS  

    DOI: 10.1093/imrn/rnu129

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    Other Link: http://orcid.org/0000-0002-1884-7934

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

    Eric Jovinelly, Brian Lehmann, Sho Tanimoto

    Journal of Algebraic Geometry   Vol. 34 ( 3 ) page: 535 - 542   2025.4

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    online publication

    DOI: 10.1090/jag/841

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  26. 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

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  27. Intermediate Jacobians and Burnside invariants Reviewed International coauthorship

    Andrew Kresch, Sho Tanimoto, Yuri Tschinkel

    Journal of the Mathematical Society of Japan     2025

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    to appear

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  28. From exceptional sets to non-free sections Invited Open Access

    Sho Tanimoto

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (conference, symposium, etc.)  

    to appear

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  29. 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   2022.2

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s40879-021-00516-2

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  30. 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

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  31. Campana points, Height zeta functions, and log Manin's conjecture Open Access

    Sho Tanimoto

    RIMS Kokyuroku   Vol. 2196   page: 26 - 36   2021.9

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (international conference proceedings)  

    Problems and Prospects in Analytic Number Theory

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  32. 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

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  33. Movable Bend and Break for sections of del Pezzo fibrations Invited

    Sho Tanimoto

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

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

    Brian Lehmann, Sho Tanimoto

    Research in the Mathematical Sciences   Vol. 6 ( 1 )   2019.3

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s40687-018-0174-9

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  35. Geometric aspects of Manin's Conjecture Invited Open Access

    Sho Tanimoto

    Proceedings of Kinosaki Algebraic Geometry Symposium 2018     2019.1

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  36. Abelian Calabi–Yau threefolds: Néron models and rational points Reviewed International coauthorship International journal Open Access

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

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4310/MRL.2018.v25.n2.a2

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  37. Effective bounds for Brauer groups of Kummer surfaces over number fields Reviewed International coauthorship International journal Open Access

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

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:John Wiley and Sons Ltd.  

    DOI: 10.1112/jlms.12118

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    Other Link: http://orcid.org/0000-0002-1884-7934

  38. 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

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    Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:Birkh\"auser  

    DOI: 10.1007/978-3-319-46852-5_9

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    Other Link: http://orcid.org/0000-0002-1884-7934

  39. 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

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    DOI: 10.1007/s40993-016-0037-7

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    Other Link: http://orcid.org/0000-0002-1884-7934

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

    S. Tanimoto, J. Tanis

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

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:OXFORD UNIV PRESS  

    DOI: 10.1112/jlms/jdv048

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    Other Link: http://orcid.org/0000-0002-1884-7934

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

    Sho Tanimoto, Yuri Tschinkel

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

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    Language:English   Publishing type:Research paper (international conference proceedings)   Publisher:AMER MATHEMATICAL SOC  

    DOI: 10.1090/conm/566/11218

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Books 2

  1. Birational Geometry and Manin's Conjecture

    Sho Tanimoto( Role: Sole author)

    Cambridge University Press  2025 

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    Language:English Book type:Scholarly book

    Cambridge Tracts in Mathematics, to appear

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  2. Proceedings of Kinosaki Algebraic Geometry Symposium 2023

    Takeshi Abe, Isamu Iwanari, Sho Tanimoto( Role: Joint editor)

    2024.2 

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    Total pages:140   Book type:Scholarly book

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MISC 2

  1. From exceptional sets to non-free sections Invited International journal

    Sho Tanimoto

    Oberwolfach reports   Vol. 20 ( 2 )   2023

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    Authorship:Corresponding author   Language:English   Publishing type:Article, review, commentary, editorial, etc. (bulletin of university, research institution)  

    Recent Trends in Algebraic Geometry

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  2. Osamu Fujino: Foundations of the minimal model program Invited Reviewed

    Sho Tanimoto

    Sugaku   Vol. 73 ( 3 ) page: 323 - 327   2021.7

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    Authorship:Lead author, Corresponding author   Language:Japanese   Publishing type:Book review, literature introduction, etc.  

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Presentations 52

  1. Homological sieve and Manin’s conjecture Invited International conference

    Sho Tanimoto

    Geometry, arithmetic & cohomology of higher dimensional varieties  2026.1.12  University of Bologna

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    Event date: 2026.1

    Language:English  

    Venue:University of Bologna  

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  2. Homological stability and arithmetic applications Invited International conference

    Sho Tanimoto

    Perspectives in Algebraic Geometry  2025.12.18  IBS-CCG

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    Event date: 2025.12

    Language:English  

    Venue:IBS-CCG  

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  3. Homological sieve and Manin’s conjecture International conference

    Sho Tanimoto

    Algebraic Number Theory and Related Topics 2025  2025.12.16  RIMS, Kyoto University

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    Event date: 2025.12

    Presentation type:Oral presentation (general)  

    Venue:RIMS, Kyoto University  

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  4. Homological stability and weak approximation Invited International conference

    Sho Tanimoto

    Xi’an International Workshop on Algebraic Geometry  2025.10.12  Xi’an Jiaotong University

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    Event date: 2025.10

    Language:English  

    Venue:Xi’an Jiaotong University  

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  5. Homological stability and Manin’s conjecture Invited International conference

    Sho Tanimoto

    Summer Research Institute in Algebraic Geometry  2025.7.28  Colorado State University

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    Event date: 2025.7 - 2025.8

    Language:English  

    Venue:Colorado State University  

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  6. Homological stability and Manin’s conjecture Invited International conference

    Sho Tanimoto

    Workshop on Fano Varieties  2025.6.24  BICMR, Peking University

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    Event date: 2025.6

    Language:English  

    Venue:BICMR, Peking University  

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  7. The spaces of rational curves on del Pezzo surfaces via conic bundles Invited International conference

    Sho Tanimoto

    Birational Geometry and Number Theory  2024.10.31  International Centre for Mathematical Sciences

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    Event date: 2024.10 - 2024.11

    Language:English  

    Venue:International Centre for Mathematical Sciences  

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  8. Campana rational connectedness and weak approximation Invited International conference

    Sho Tanimoto

    Workshop on Algebraic Geometry over complex number field or in positive characteristic -Around positivity of tangent sheaves and anti-canonical divisors-  2024.9.17  Osaka Metropolitan University

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    Event date: 2024.9

    Language:English  

    Venue:Osaka Metropolitan University  

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  9. The spaces of rational curves on del Pezzo surfaces via conic bundles Invited International conference

    Sho Tanimoto

    Simons Symposium: Geometry Over Non-Closed Fields  2024.8.26  Simons Foundation

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    Event date: 2024.8

    Language:English  

    Venue:Schloss Elmau  

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  10. Campana rational connectedness and weak approximation Invited International conference

    Sho Tanimoto

    Varieties with Boundaries  2024.6.26 

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    Event date: 2024.6

    Language:English  

    Venue:稚内  

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  11. Campana rational connectedness and weak approximation Invited International conference

    Sho Tanimoto

    MPS Conference on Arithmetic Geometry, Group Actions and Rationality Problems  2024.5.30  Simons Foundation

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    Event date: 2024.5

    Language:English  

    Venue:Simons Foundation  

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  12. Campana rational connectedness and weak approximation Invited International conference

    Sho Tanimoto

    Higher Dimensional Geometry  2024.5.9  Simons Center for Geometry and Physics

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    Event date: 2024.5

    Language:English  

    Venue:Simons Center for Geometry and Physics   Country:United States  

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  13. 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

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    Event date: 2024.1

    Language:English  

    Venue:Chennai Mathematical Institute  

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  14. 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

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    Event date: 2023.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:RIMS, Kyoto University  

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  15. Sections of Fano fibrations over curves Invited

    Sho Tanimoto

    Niigata Algebra Symposium  2023.12.6  Niigata University

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    Event date: 2023.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Niigata University  

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  16. 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

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    Event date: 2023.11

    Language:English  

    Venue:Hausdorff Research Institute for Mathematics  

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  17. Non-free sections of Fano fibrations Invited International conference

    Sho Tanimoto

    Fano varieties, their Geometry and Moduli  2023.11.1  KIAS

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    Event date: 2023.10 - 2023.11

    Language:English  

    Venue:KIAS  

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  18. 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

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    Event date: 2023.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Tohoku University   Country:Japan  

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  19. From exceptional sets to non-free sections Invited International conference

    Sho Tanimoto

    Recent Trends in Algebraic Geometry  2023.6.22  Mathematisches Forschungsinstitut Oberwolfach

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    Event date: 2023.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Mathematisches Forschungsinstitut Oberwolfach  

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  20. Non-free sections of Fano fibrations Invited International conference

    Sho Tanimoto

    The 21st Affine Algebraic Geometry Meeting  2023.3.3  Saitama University

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    Event date: 2023.3

    Language:English  

    Venue:Saitama University   Country:Japan  

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  21. From exceptional sets to non-free curves Invited International conference

    Sho Tanimoto

    Simons Symposium on Geometry of Arithmetic Statistics  2022.9.1  Simons Foundation

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    Event date: 2022.8 - 2022.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Schloss Elmau   Country:Germany  

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  22. Rational curves on del Pezzo surfaces in characteristic p Invited

    Sho Tanimoto

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

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    Event date: 2021.8

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Waseda University (Zoom)   Country:Japan  

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  23. Classifying rational curves on Fano threefolds Invited International conference

    Sho Tanimoto

    The 19th Affine Algebraic Geometry Meeting  2021.3.3  Saitama University

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    Event date: 2021.3

    Language:English  

    Venue:Saitama University (Zoom)  

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  24. 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

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    Event date: 2021.1 - 2021.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Institut Mittag-Leffler (Zoom)  

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  25. 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

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    Event date: 2020.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Zoom  

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

    Sho Tanimoto

    Arithmetic and Algebraic Geometry  2016.12  University of Tokyo

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    Venue:University of Tokyo  

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  27. 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

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:the Institute of Mathematics of the Polish Academy of Sciences  

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  28. 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

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  29. 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

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    Language:English   Presentation type:Oral presentation (general)  

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  30. 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

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    Language:English   Presentation type:Oral presentation (general)  

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  31. 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

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Bielefeld Germany  

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

    Sho Tanimoto

    Rational points and Zariski density  2017.11  University of Copenhagen

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Copenhagen  

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  33. Thin exceptional sets in Manin’s conjecture Invited International conference

    Sho Tanimoto

    Positivity in Algebraic Geometry  2018.6  Yonsei University

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Yonsei University  

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  34. Thin exceptional sets in Manin’s conjecture Invited

    Sho Tanimoto

    Younger generations in Algebraic and Complex geometry V  2018.8 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Hakodate  

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  35. Thin exceptional sets in Manin’s Conjecture Invited International conference

    Sho Tanimoto

    Connection for Algebraic Geometers  2018.11.21  Shanghai Center for Mathematical Science

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  36. Towards a refinement of Manin’s conjecture International conference

    Sho Tanimoto

    AMS Summer Institute in Algebraic Geometry  2015.7  University of Utah

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    Language:English  

    Venue:University of Utah  

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  37. Towards a refinement of Manin’s conjecture Invited International conference

    Sho Tanimoto

    Arithmetic Geometry Days  2015.11  University of Copenhagen

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    Venue:University of Copenhagen  

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  38. Towards a refinement of Manin’s conjecture Invited International conference

    Sho Tanimoto

    Belgian-Dutch Algebraic Geometry seminar  2016.4  University of Leuven

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    Venue:University of Leuven  

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

    Sho Tanimoto

    Atkin workshop  2017.4  University of Illinois Chicago

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    Venue:University of Illinois Chicago  

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  40. Unramified Brauer groups and rationality problems of invariant fields Invited

    Sho Tanimoto

    27-th Number theory Summer School  2019.9.9  Sakata

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    Language:English  

    Venue:Sakata  

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

    Sho Tanimoto

    Bogomolov 70 conference  2016.9  Higher School of Economics

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Higher School of Economics, Moscow  

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  42. 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

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    Language:English  

    Venue:Rice University, USA  

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  43. Balanced line bundles Invited International conference

    Sho Tanimoto

    CARP: Collaborations Around Rational Points  2014.1  Bellairs Research Institute

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Bellairs Research Institute  

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  44. 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

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tohoku University  

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  45. Exceptional sets in Manin’s conjecture Invited International conference

    Sho Tanimoto

    N-Cube Days V  2016.11  University of Gothenburg

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Gothenburg  

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  46. Geometric consistency of Manin’s Conjecture Invited International conference

    Sho Tanimoto

    Rational Points on Schiermonnikoog,  2018.7 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Schiermonnikoog, Netherlands  

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  47. Geometric consistency of Manin’s Conjecture Invited International conference

    Sho Tanimoto

    Kinosaki Algebraic Geometry Symposium 2018  2018.10.25 

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  48. K3 surfaces and special cubic fourfolds International conference

    Sho Tanimoto

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

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Banach center in Warsaw  

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  49. 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)

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Banff International Research Station, Oaxaca  

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  50. 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

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Joint Mathematics Meetings, Boston  

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

    Sho Tanimoto

    Algebra Symposium  2019.9.5  Tohoku University

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  52. On exceptional sets in Manin’s conjecture Invited

    Sho Tanimoto

    Hiroshima-Okayama Algebra seminar in Kumamoto  2018.3  Kumamoto University

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kumamoto University  

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KAKENHI (Grants-in-Aid for Scientific Research) 8

  1. FRG: Collaborative Research: Complex Lagrangians, Integrable Systems, and Quantization International coauthorship

    Grant number:JPJSSRC20260006  2026.5

    Japan Society for the Promotion and Science  JSPS-NSF Supplemental Research Collaboration Opportunity in Japan 

    Justin Sawon, Sho Tanimoto

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    Authorship:Principal investigator  Grant type:Competitive

    Direct Cost: \558000 )

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  2. Diversified study on Manin's conjecture for rational points/rational curves/motives

    Grant number:23H01067  2023.4 - 2028.3

    Japan Society for the Promotion and Science  Grant-in-Aid for Scientific Research  Grant-in-Aid (B) for Scientific Research

    Sho Tanimoto

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\13260000 ( Direct Cost: \10200000 、 Indirect Cost:\3060000 )

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  3. Diversified study on Manin's conjecture for rational points/rational curves/motives

    Grant number:23K25764  2023.4 - 2028.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Principal investigator 

    Grant amount:\13260000 ( Direct Cost: \10200000 、 Indirect Cost:\3060000 )

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  4. New developments through the interaction between higher dimensional algebraic geometry and arithmetic geometry

    Grant number:JPMJFR212Z  2022.4 - 2029.3

    Japan Science and Technology Agency  Fusion Oriented REsearch for disruptive Science and Technology(FOREST) 

    Sho Tanimoto

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    Authorship:Principal investigator  Grant type:Competitive

    Direct Cost: \62400000 )

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  5. New developments and further evolution in higher dimensional algebraic geometry

    Grant number:JPJSBP120219935  2021.4 - 2023.3

    Japan Society for the Promotion and Science  Bilateral Joint Research Project 

    Sho Tanimoto, Brian Lehmann, Yoshinori Gongyo, Yusuke Nakamura

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\3800000

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  6. Arithmetic Geometry via Higher Dimensional Algebraic Geometry

    Grant number:19K14512  2019.4 - 2022.3

    Japan Society for the Promotion of Science  KAKENHI Early-Career Scientists  Grant-in-Aid for Early-Career Scientists

    Sho Tanimoto

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\3640000 ( Direct Cost: \2800000 、 Indirect Cost:\840000 )

    Rational solutions to a system of polynomial equations have been studied since the age of Greece. Polynomial equations define an algebraic variety investigated by algebraic geometers, and rational solutions are called as rational points on the variety. When there are infinitely many rational points on an algebraic variety, one can consider the counting function of rational points on that variety. One of outstanding questions is an asymptotic formula of this counting function, and this asymptotic formula is predicted by Manin's conjecture. In our research, we resolved a long standing mystery of exceptional sets in Manin's conjecture. Moreover we formulated Manin's conjecture for Campana points which are intermediate objects between rational points and integral points. Finally using analogy between rational points and curves, we studied properties of moduli spaces of curves on an algebraic variety using the perspective of Manin's conjecture.

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  7. Research on rational and integral points via Higher Dimensional Algebraic Geometry

    2019.4 - 2021.3

    Inamori Foundation  Research Grants 

    Sho Tanimoto

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\1000000 ( Direct Cost: \1000000 )

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  8. Higher Dimensional Arithmetic Geometry

    2017.11 - 2022.3

    MEXT Japan  Leading Initiative for Excellent Young Researchers (LEADER) 

    Sho Tanimoto

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\22000000 ( Direct Cost: \11000000 、 Indirect Cost:\11000000 )

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Academic Activities 20

  1. SQuaRE workshop Homological stability for curves on del Pezzo surfaces I International contribution

    Role(s):Planning, management, etc.

    Brian Lehmann, Sho Tanimoto  ( American Institute of Mathematics ) 2026.10

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    Type:Academic society, research group, etc. 

  2. Nagoya Algebraic Geometry Workshop 2026 International contribution

    Role(s):Planning, management, etc.

    Yusuke Nakamura, Sho Tanimoto  ( Nagoya University ) 2026.5

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    Type:Academic society, research group, etc. 

  3. McKay correspondence, Dimer model and Derived category International contribution

    Role(s):Planning, management, etc.

    Yukari Ito, Osamu Iyama, Yusuke Nakamura, Sho Tanimoto  ( Nagoya University ) 2025.4

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    Type:Academic society, research group, etc. 

  4. Moduli spaces and Arithmetic International contribution

    Role(s):Planning, management, etc.

    Sho Tanimoto, Yasuda Takehiko  2024.9

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    Type:Academic society, research group, etc. 

  5. Kinosaki Algebraic Geometry Symposium 2023

    Role(s):Planning, management, etc.

    Takeshi Abe, Isamu Iwanari, Sho Tanimoto  ( Kinosaki ) 2023.10

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    Type:Academic society, research group, etc. 

  6. International workshop on Birational Geometry International contribution

    Role(s):Planning, management, etc.

    Sho Tanimoto, Yoshinori Gongyo, Yusuke Nakamura  2023.10

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    Type:Academic society, research group, etc. 

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

    Role(s):Planning, management, etc.

    Kazuaki Tanaka  ( Waseda University ) 2023.9

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    Type:Academic society, research group, etc. 

  8. 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

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    Type:Academic society, research group, etc. 

  9. 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

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    Type:Academic society, research group, etc. 

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

    Role(s):Planning, management, etc.

    Kazuaki Tanaka, Sho Tanimoto  ( Zoom ) 2023.5

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    Type:Academic society, research group, etc. 

  11. K3, Enriques Surfaces, and Related Topics

    Role(s):Planning, management, etc.

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

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    Type:Academic society, research group, etc. 

  12. 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

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    Type:Academic society, research group, etc. 

  13. Rationality, Moduli Spaces, and Related Topics International contribution

    Role(s):Planning, management, etc.

    Sho Tanimoto, Shigeyuki Kondo  ( Nagoya University ) 2022.11

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  14. Editor: Nagoya Mathematical Journal

    Role(s):Review, evaluation

    2022.10

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  15. 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

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  16. 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

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  17. 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

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    Type:Academic society, research group, etc. 

  18. 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

  19. Associate Editor: Nagoya Mathematical Journal

    Role(s):Review, evaluation

    2021.1 - 2022.10

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  20. Editor: Kumamoto Journal of Mathematics

    Role(s):Review, evaluation

    2020 - 2021.3

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