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
TANIMOTO Sho
Degree 2
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Ph. D. （ 2012.5 New York University ）
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M. S. （ 2010.5 New York University ）
Research Interests 8
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arithmetic geometry
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rational curves
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moduli spaces
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diophantine geometry
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algebraic geometry
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birational geometry
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the minimal model program
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rational points
Research Areas 1
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Natural Science / Algebra / Algebraic geometry and Arithmetic Geometry
Research History 5
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Nagoya University Graduate School of Mathematics Professor
2024.4
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Nagoya University Graduate School of Mathematics Associate professor
2021.4 - 2024.3
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Kumamoto University Priority organization for Innovation and Excellence Associate professor
2018.1 - 2021.3
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University of Copenhagen Department of Mathematical Sciences PostDoc
2015.7 - 2017.12
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Rice University Department of Mathematics G. C. Evans instructor
2012.7 - 2015.6
Education 1
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New York University Courant Institute of Mathematical Sciences Department of Mathematics
2007.9 - 2012.5
Professional Memberships 2
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American Mathematical Society
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THE MATHEMATICAL SOCIETY OF JAPAN
Committee Memberships 1
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Mathematical Society of Japan Local delegate
2022.3 - 2023.2
Committee type：Academic society
Awards 3
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FOREST researcher
2022.4 Japan Science and Technology Agency
Sho Tanimoto
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Excellent Young Researcher
2017.11 MEXT Japan
Sho Tanimoto
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Wilhelm Magnus Memorial Prize
2012.4 Courant Institute of Mathematical Sciences
Sho Tanimoto
Papers 35
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Intermediate Jacobians and linearizability Reviewed International coauthorship International journal
Tudor Ciurca, Sho Tanimoto, Yuri Tschinkel
Kyoto Journal of Mathematics 2025
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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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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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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
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From exceptional sets to non-free sections
谷本 祥
数理解析研究所講究録 Vol. - 2024
Books 1
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Proceedings of Kinosaki Algebraic Geometry Symposium 2023
Takeshi Abe, Isamu Iwanari, Sho Tanimoto（ Role： Joint editor）
2024.2
MISC 2
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From exceptional sets to non-free sections Invited International journal
Sho Tanimoto
Oberwolfach reports Vol. 20 ( 2 ) 2023
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Osamu Fujino: Foundations of the minimal model program Invited Reviewed
Sho Tanimoto
Sugaku Vol. 73 ( 3 ) page： 323 - 327 2021.7
Presentations 46
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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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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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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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Campana rational connectedness and weak approximation Invited International conference
Sho Tanimoto
Varieties with Boundaries 2024.6.26
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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
KAKENHI (Grants-in-Aid for Scientific Research) 7
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Diversified study on Manin's conjecture for rational points/rational curves/motives
Grant number：23K25764 2023.4 - 2028.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Authorship：Principal investigator
Grant amount：\13260000 （ Direct Cost: \10200000 、 Indirect Cost：\3060000 ）
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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
Authorship：Principal investigator Grant type：Competitive
Grant amount：\13260000 （ Direct Cost: \10200000 、 Indirect Cost：\3060000 ）
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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
Authorship：Principal investigator Grant type：Competitive
（ Direct Cost: \62400000 ）
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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
Authorship：Principal investigator Grant type：Competitive
Grant amount：\3800000
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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
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.
Media Coverage 3
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Seeking new potential through the interaction between algebraic geometry and arithmetic geometry Internet
Kawai Juku 2024.3
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Inamori Foundation 2024.2
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Visiting 3S Researchers #11 Dr. Sho Tanimoto Why do mathematicians study difficult problems? Internet
Inamori Foundation 2023.12
Academic Activities 19
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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 ） 2025.10
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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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Moduli spaces and Arithmetic International contribution
Role(s)：Planning, management, etc.
Sho Tanimoto, Yasuda Takehiko 2024.9
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Kinosaki Algebraic Geometry Symposium 2023
Role(s)：Planning, management, etc.
Takeshi Abe, Isamu Iwanari, Sho Tanimoto （ Kinosaki ） 2023.10
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International workshop on Birational Geometry International contribution
Role(s)：Planning, management, etc.
Sho Tanimoto, Yoshinori Gongyo, Yusuke Nakamura 2023.10