Updated on 2025/03/26

写真a

 
NAKAMURA Yusuke
 
Organization
Graduate School of Mathematics Division of Mathematics Fundamental Mathematics Associate professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science Department of Mathematics
Title
Associate professor
External link

Degree 3

  1. 博士 (数理科学) ( 2015.3   東京大学 ) 

  2. 修士 (数理科学) ( 2013.3   東京大学 ) 

  3. 学士 (理学) ( 2011.3   東京大学 ) 

Research Interests 6

  1. PIA予想

  2. LSC予想

  3. ACC予想

  4. 特異点

  5. 極小モデル理論

  6. 代数幾何学

Research Areas 1

  1. Natural Science / Algebra  / 代数幾何学

Research History 2

  1. Nagoya University   Associate professor

    2024.4

  2. The University of Tokyo   Assistant Professor

    2016.1 - 2024.3

Education 2

  1. The University of Tokyo

    2011.4 - 2015.3

  2. The University of Tokyo

    2007.4 - 2011.3

Professional Memberships 1

  1. 日本数学会

Awards 1

  1. 建部賢弘賞奨励賞

    2018.9   日本数学会  

 

Papers 15

  1. Shokurov's index conjecture for quotient singularities Invited Reviewed

    Y. Nakamura, K. Shibata

    London Math. Soc. Lecture Note Ser.   Vol. 489   page: 220 - 230   2025.1

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    Authorship:Lead author   Language:English  

  2. On generalized minimal log discrepancy Reviewed

    Weichung CHEN, Yoshinori GONGYO, Yusuke NAKAMURA

    Journal of the Mathematical Society of Japan   Vol. 76 ( 2 ) page: 393 - 449   2024.4

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)   Publisher:Mathematical Society of Japan (Project Euclid)  

    DOI: 10.2969/jmsj/90119011

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  3. Ehrhart theory on periodic graphs Reviewed

    Inoue Takuya, Yusuke Nakamura

    Algebraic Combinatorics   Vol. 7 ( 4 ) page: 969 - 1010   2024

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

    DOI: 10.5802/alco.367

  4. Upper bounds of orders of automorphism groups of leafless metric graphs Reviewed

    Yusuke Nakamura, JuAe Song

    AKCE Int. J. Graphs Comb.   Vol. 21 ( 1 ) page: 71 - 76   2024

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

  5. Inversion of adjunction for quotient singularities Reviewed

    Yusuke Nakamura, Kohsuke Shibata

    Algebr. Geom.   Vol. 9 ( 2 ) page: 214 - 251   2022

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

  6. Coordination sequences of crystals are of quasi‐polynomial type Reviewed

    Yusuke Nakamura, Ryotaro Sakamoto, Takafumi Mase, Junichi Nakagawa

    Acta Crystallographica Section A: Foundations and Advances   Vol. 77 ( 2 ) page: 138 - 148   2021

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

  7. Dual complex of log Fano pairs and its application to Witt vector cohomology Reviewed

    Yusuke Nakamura

    Int. Math. Res. Not. IMRN   ( 13 ) page: 9802 - 9833   2021

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

  8. Minimal model program for log canonical threefolds in positive characteristic Reviewed

    Kenta Hashizume, Yusuke Nakamura, Hiromu Tanaka

    Math. Res. Lett.   Vol. 27 ( 4 ) page: 1003 - 1054   2020

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

  9. Rational points on log Fano threefolds over a finite field Reviewed

    Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka

    J. Eur. Math. Soc. (JEMS)   Vol. 21 ( 12 ) page: 3759 - 3795   2019

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

  10. A Witt Nadel vanishing theorem for threefolds Reviewed

    Yusuke Nakamura, Hiromu Tanaka

    Compos. Math.   Vol. 156 ( 3 ) page: 435 - 475   2019

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

  11. A boundedness conjecture for minimal log discrepancies on a fixed germ Reviewed International coauthorship

    Mircea Mustata, Yusuke Nakamura

    Contemp. Math.   Vol. 712   page: 287 - 306   2018

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

    DOI: 10.1090/conm/712/14351

  12. On the base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field Reviewed International coauthorship

    Yusuke Nakamura, Jakub Witaszek

    Math. Z.   Vol. 287 ( 3-4 ) page: 1343 - 1353   2017

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

    DOI: 10.1007/s00209-017-1871-6

  13. On semi-continuity problems for minimal log discrepancies Reviewed

    Yusuke Nakamura

    J. Reine Angew. Math.   Vol. 711   page: 167 - 187   2016

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

    DOI: 10.1515/crelle-2013-0112

  14. On minimal log discrepancies on varieties with fixed Gorenstein index Reviewed

    Yusuke Nakamura

    Michigan Math. J.   Vol. 65 ( 1 ) page: 165 - 187   2016

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

  15. On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field Reviewed International coauthorship

    Diletta Martinelli, Yusuke Nakamura, Jakub Witaszek

    Algebra Number Theory   Vol. 9 ( 3 ) page: 725 - 747   2015

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

    DOI: 10.2140/ant.2015.9.725

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Presentations 15

  1. Rationality of the growth series of virtually abelian groups Invited International conference

    Yusuke Nakamura

    Algebraic Geometry, Topology, Combinatorics and Related Topics 2025 

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    Event date: 2025.3

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

    Venue:Tokushima University   Country:Japan  

  2. Ehrhart theory on periodic graphs Invited International conference

    Yusuke Nakamura

    Optimization, Theoretical Computer Science and Algebraic Geometry: Convexity and Beyond 

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    Event date: 2025.2

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

    Venue:Kyoto University   Country:Japan  

  3. A counterexample to the PIA conjecture Invited

    Yusuke Nakamura

    Fano varieties and Birational geometry 

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    Event date: 2025.2

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

    Venue:Nagoya University   Country:Japan  

  4. On "virtually free actions" Invited

    Yusuke Nakamura

    Yufuin Algebraic Geometry workshop 

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    Event date: 2024.12

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

    Venue:Nippon Bunri University   Country:Japan  

  5. A counterexample to the PIA conjecture Invited

    Yusuke Nakamura

    The 2nd Niigata Algebra Symposium 

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    Event date: 2024.11

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

    Venue:Niigata University   Country:Japan  

  6. Introduction to the Minimal Model Program: Local Perspective Invited International conference

    Yusuke Nakamura

    Intensive lecture at University of Bologna 

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    Event date: 2024.11

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

    Venue:The University of Electro-Communications   Country:Italy  

  7. Toward an Ehrhart theory of periodic graphs Invited

    Yusuke Nakamura

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    Event date: 2024.9

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

    Venue:The University of Electro-Communications   Country:Japan  

  8. A counterexample to the PIA conjecture Invited International conference

    Yusuke Nakamura

    One day workshop on complex and algebraic geometry  2024.7.17 

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    Event date: 2024.7

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

    Venue:The University of Tokyo   Country:Japan  

  9. Some conjectures of a singularity invariant in minimal model theory Invited

    Yusuke Nakamura

    Colloquium  2024.5.8 

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    Event date: 2024.5

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

    Venue:Nagoya University   Country:Japan  

  10. Toward an Ehrhart theory of periodic graphs Invited

    Yusuke Nakamura

    Algebraic Geometry Seminar  2024.4.26 

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    Event date: 2024.4

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

    Venue:Nagoya University   Country:Japan  

  11. Shokurov’s index conjecture and PIA conjecture for quotient singularities Invited International conference

    Yusuke Nakamura

    Kinosaki Algebraic Geometry Symposium 2023 

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    Event date: 2023.10

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

    Venue:Kinosaki International Art Center   Country:Japan  

  12. Minimal log discrepancies of quotient singularities Invited International conference

    Yusuke Nakamura

    Recent Developments in Algebraic Geometry, Arithmetic and Dynamics Part 2 

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    Event date: 2023.8 - 2023.9

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

    Venue:National University of Singapore   Country:Singapore  

  13. Ehrhart theory on periodic graphs Invited

    Yusuke Nakamura

    Algebra Seminar  2023.7.21 

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    Event date: 2023.7

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

    Venue:Kyushu University   Country:Japan  

  14. Ehrhart theory of periodic graphs Invited International conference

    Yusuke Nakamura

    FRG Special Month in Ann Arbor  2023.6.1 

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    Event date: 2023.5 - 2023.6

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

    Venue:Michigan University   Country:United States  

  15. Minimal log discrepancies of quotient singularities Invited International conference

    Yusuke Nakamura

    FRG Special Month in Ann Arbor  2023.5.24 

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    Event date: 2023.5 - 2023.6

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

    Venue:Michigan University   Country:United States  

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KAKENHI (Grants-in-Aid for Scientific Research) 1

  1. フリップの停止問題への特異点理論からのアプローチ

    Grant number:22K13888  2022.4 - 2027.3

    日本学術振興会  科学研究費助成事業  若手研究

    中村 勇哉

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    Grant type:Competitive

    Grant amount:\4550000 ( Direct Cost: \3500000 、 Indirect Cost:\1050000 )

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Teaching Experience (On-campus) 2

  1. Exercise in Mathematics II

    2024

  2. Exercise in Mathematics I

    2024

 

Social Contribution 1

  1. 数学アゴラ

    Role(s):Lecturer

    名古屋大学  2024年度数学アゴラ  2024.8

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    Audience: Junior students, High school students, College students, Teachers

    Type:Lecture