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Yasuda Takehiko
安田 健彦
Yasuda Takehiko
安田 健彦
Graduate School of Science Department of Mathematics, Professor

keyword Stringy motive,Malle conjecture,Manin conjecture,rational points,blowup,jet,motivic integration,singularities of algebraic varieties,algebraic geometry,Algebraic stack,Jet,Motivic integration,Singularity,Algebraic geometry

Research History 8

  1. 2024/05 - Present
    The University of Tokyo Kavli Institute for the Physics and Mathematics of the Universe Visiting Senior Scientist

  2. 2020/04 - Present
    Osaka University Graduate School of Science

  3. 2018/04 - 2020/03
    Tohoku University Graduate School of Science

  4. 2012/04 - 2018/03
    Osaka University Graduate School of Science

  5. 2009/04 - 2012/03
    Kagoshima University Graduate School of Science and Engineering

  6. 2008/03 - 2009/03
    Kagoshima University

  7. 2005/04 - 2008/02
    Japan Society for the Promotion of Science

  8. 2002/04 - 2005/03
    Japan Society for the Promotion of Science

Education 4

  1. The University of Tokyo Graduate School of Mathematical Sciences

    2002/04 - 2004/03

  2. The University of Tokyo Graduate School of Mathematical Sciences

    2000/04 - 2002/03

  3. The University of Tokyo Faculty of Science Department of Mathematics

    1998/04 - 2000/03

  4. The University of Tokyo College of Arts and Sciences

    1996/04 - 1998/03

Professional Memberships 1

  1. THE MATHEMATICAL SOCIETY OF JAPAN

Research Areas 1

  1. Natural sciences / Algebra /

Awards 4

  1. Osaka University Distinguished Professor

    Osaka University 2021/12

  2. JSPS PRIZE

    Japan Society for the Promotion of Science 2021/12

  3. The Young Scientists’ Prize, The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology

    Ministry of Education, Culture, Sports, Science and Technology 2015/04

  4. MSJ Takebe Katahiro Prize

    The Mathematical Society of Japan 2013/09

Papers 33

  1. Higher Jacobian ideals, contact equivalence and motivic zeta functions

    Quy Thuong Lê, Takehiko Yasuda

    Revista Matemática Iberoamericana Vol. 41 No. 3 p. 1057-1080 2024/10/08 Research paper (scientific journal)

    Publisher: European Mathematical Society - EMS - Publishing House GmbH
  2. Log centres of noncommutative crepant resolutions are Kawamata log terminal: remarks on a paper of Stafford and Van den Bergh

    Colin Ingalls, Takehiko Yasuda

    Contemporary Mathematics Vol. 801 p. 143-154 2024/07 Research paper (international conference proceedings)

  3. Non-commutative resolutions of linearly reductive quotient singularities

    Christian Liedtke, Takehiko Yasuda

    The Quarterly Journal of Mathematics 2024/06/21 Research paper (scientific journal)

    Publisher: Oxford University Press (OUP)
  4. Motivic integration over wild Deligne–Mumford stacks

    Takehiko Yasuda

    Algebraic Geometry Vol. 11 No. 2 p. 178-255 2024 Research paper (scientific journal)

  5. Torsors for finite group schemes of bounded height

    Ratko Darda, Takehiko Yasuda

    Journal of the London Mathematical Society Vol. 108 No. 3 p. 1275-1331 2023/09 Research paper (scientific journal)

  6. The isomorphism problem of projective schemes and related algorithmic problems

    Takehiko Yasuda

    International Journal of Algebra and Computation Vol. 33 No. 5 p. 893-926 2023/08/01 Research paper (scientific journal)

  7. Open problems in the wild McKay correspondence and related fields

    Takehiko Yasuda

    Adv. Stud. Pure Math Vol. 88 p. 279-303 2023/01/01 Part of collection (book)

    Publisher: SPIE
  8. MODULI OF FORMAL TORSORS II

    Fabio Tonini, Takehiko Yasuda

    Annales de l'Institut Fourier Vol. 73 No. 2 p. 511-558 2023 Research paper (scientific journal)

  9. The wild mckay correspondence for cyclic groups of prime power order

    Mahito Tanno, Takehiko Yasuda

    Illinois Journal of Mathematics Vol. 65 No. 3 p. 619-654 2021/09 Research paper (scientific journal)

  10. Notes on the motivic McKay correspondence for the group scheme $\alpha_{p}$

    Fabio Tonini, Takehiko Yasuda

    Singularities — Kagoshima 2017; Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities p. 215-233 2020/06 Research paper (international conference proceedings)

    Publisher: WORLD SCIENTIFIC
  11. MODULI OF FORMAL TORSORS

    Fabio Tonini, Takehiko Yasuda

    JOURNAL OF ALGEBRAIC GEOMETRY Vol. 29 No. 4 p. 753-801 2020 Research paper (scientific journal)

  12. Discrepancies of p-cyclic quotient varieties

    Takehiko, Yasuda

    Journal of Mathematical Sciences, the University of Tokyo Vol. 26 No. 1 p. 1-14 2019/03 Research paper (scientific journal)

  13. VOJTA'S CONJECTURE, SINGULARITIES AND MULTIPLIER-TYPE IDEALS

    Yasuda Takehiko

    KODAI MATHEMATICAL JOURNAL Vol. 41 No. 3 p. 566-578 2018/10

  14. MOTIVIC SERRE INVARIANTS MODULO THE SQUARE OF L-1

    Takehiko Yasuda

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 146 No. 2 p. 547-554 2018/02 Research paper (scientific journal)

  15. Mass formulas for local Galois representations and quotient singularities II: Dualities and resolution of singularities

    Melanie Matchett Wood, Takehiko Yasuda

    ALGEBRA & NUMBER THEORY Vol. 11 No. 4 p. 817-840 2017 Research paper (scientific journal)

  16. The wild McKay correspondence and p-adic measures

    Takehiko Yasuda

    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY Vol. 19 No. 12 p. 3709-3734 2017 Research paper (scientific journal)

  17. Toward motivic integration over wild Deligne-Mumford stacks

    Yasuda Takehiko

    HIGHER DIMENSIONAL ALGEBRAIC GEOMETRY IN HONOUR OF PROFESSOR YUJIRO KAWAMATA'S SIXTIETH BIRTHDAY Vol. 74 p. 407-437 2017

  18. WILDER MCKAY CORRESPONDENCES

    Takehiko Yasuda

    NAGOYA MATHEMATICAL JOURNAL Vol. 221 No. 1 p. 111-164 2016/03 Research paper (scientific journal)

  19. Mass Formulas for Local Galois Representations and Quotient Singularities. I: A Comparison of Counting Functions

    Melanie Machett Wood, Takehiko Yasuda

    INTERNATIONAL MATHEMATICS RESEARCH NOTICES No. 23 p. 12590-12619 2015 Research paper (scientific journal)

  20. The p-cyclic McKay correspondence via motivic integration

    Takehiko Yasuda

    COMPOSITIO MATHEMATICA Vol. 150 No. 7 p. 1125-1168 2014/07 Research paper (scientific journal)

  21. F-blowups of normal surface singularities

    Nobuo Hara, Tadakazu Sawada, Takehiko Yasuda

    ALGEBRA & NUMBER THEORY Vol. 7 No. 3 p. 733-763 2013 Research paper (scientific journal)

  22. Pure subrings of regular local rings, endomorphism rings and Frobenius morphisms

    Takehiko Yasuda

    JOURNAL OF ALGEBRA Vol. 370 p. 15-31 2012/11 Research paper (scientific journal)

  23. UNIVERSAL FLATTENING OF FROBENIUS

    Takehiko Yasuda

    AMERICAN JOURNAL OF MATHEMATICS Vol. 134 No. 2 p. 349-378 2012/04 Research paper (scientific journal)

  24. Frobenius morphisms of noncommutative blowups

    Takehiko Yasuda

    SINGULARITIES IN GEOMETRY AND TOPOLOGY: STRASBOURG 2009 Vol. 20 p. 269-283 2012 Research paper (international conference proceedings)

  25. Noncommutative resolution, F-blowups and D-modules

    Yukinobu Toda, Takehiko Yasuda

    ADVANCES IN MATHEMATICS Vol. 222 No. 1 p. 318-330 2009/09 Research paper (scientific journal)

  26. Flag Higher Nash Blowups

    Takehiko Yasuda

    COMMUNICATIONS IN ALGEBRA Vol. 37 No. 3 p. 1001-1015 2009 Research paper (scientific journal)

  27. Non-adic Formal Schemes

    Takehiko Yasuda

    INTERNATIONAL MATHEMATICS RESEARCH NOTICES No. 13 p. 2417-2475 2009 Research paper (scientific journal)

  28. ON MONOTONICITY OF F-BLOWUP SEQUENCES

    Yasuda Takehiko

    ILLINOIS JOURNAL OF MATHEMATICS Vol. 53 No. 1 p. 101-110 2009

  29. Higher nash blowups

    Takehiko Yasuda

    COMPOSITIO MATHEMATICA Vol. 143 No. 6 p. 1493-1510 2007/11 Research paper (scientific journal)

  30. Motivic integration over Deligne-Mumford stacks

    Takehiko Yasuda

    ADVANCES IN MATHEMATICS Vol. 207 No. 2 p. 707-761 2006/12 Research paper (scientific journal)

  31. Twisted jets, motivic measures and orbifold cohomology

    T Yasuda

    COMPOSITIO MATHEMATICA Vol. 140 No. 2 p. 396-422 2004/03 Research paper (scientific journal)

  32. Dimensions of jet schemes of log singularities

    T Yasuda

    AMERICAN JOURNAL OF MATHEMATICS Vol. 125 No. 5 p. 1137-1145 2003/10 Research paper (scientific journal)

  33. Jet schemes, log discrepancies and inversion of adjunction

    L Ein, M Mustata, T Yasuda

    INVENTIONES MATHEMATICAE Vol. 153 No. 3 p. 519-535 2003/09 Research paper (scientific journal)

Misc. 3

  1. F-blowups and essential divisors

    Vol. 2023 p. 3-8 2024/01

    Publisher: 京都大学数理解析研究所
  2. 2次元対数的端末特異点の局所エタール基本群—代数的整数論とその周辺

    安田 健彦

    数理解析研究所講究録 No. 2225 p. 174-182 2022/07

    Publisher: [京都] : 京都大学数理解析研究所
  3. モチーフ積分による野性マッカイ対応

    安田 健彦

    数学 Vol. 70 No. 2 p. 159-183 2018/04

    Publisher: 日本数学会 ; [1947]-

Publications 1

  1. ゲームで大学数学入門 : スプラウトからオイラー・ゲッターまで = A glimpse into university math through games

    安田 健彦

    共立出版 2018/12

    ISBN: 9784320113442

Presentations 54

  1. The Batyrev-Manin conjecture for stacks

    Takehiko Yasuda

    the AHGT (Arithmetic & Homotopic Galois Theory) Seminar 2025/04/07

  2. Counting points and Galois extensions

    Takehiko Yasuda

    Colloquium at Mathematics Department 2025/03/11

  3. Motivic mass formulas and permutation quotient singularities

    Takehiko Yasuda

    Conference on Algebraic Geometry 2024/12/25

  4. Motivic mass formulas and permutation quotient singularities

    Takehiko Yasuda

    The 2nd Niigata Algebra Symposium 2024/11/28

  5. Is there a representation-theoretic criterion for a quotient variety in positive characteristic to have only log terminal singularities?

    Takehiko Yasuda

    Group Actions, Geometry and Cohomology 2024/07/12

  6. Quotient singularities by permutation actions

    Takehiko Yasuda

    The 1st Algebraic geometry Gero symposium 2024/06/19

  7. The invariance of higher Nash blowup local algebra under contact equivalence

    Takehiko Yasuda

    Seminar, Centro de Ciencias Matemáticas, UNAM Campus Morelia 2024/05/28

  8. Counting points vs. counting Galois extensions

    Takehiko Yasuda

    Coloquio CIMAT-DEMAT 2024/05/23

  9. F-blowups and essential divisors

    Takehiko Yasuda

    Seminario de Geometría Algebraica y Álgebra Conmutativa, CIMAT 2024/05/22

  10. Noncommutative Frobenius maps

    2024/03/28

  11. F-blowups of quotient singularities and toric singularities

    Takehiko Yasuda

    McKay correspondence, Tilting theory and related topics 2023/12/18

  12. Orbifold pseudo-effective cones

    Algebraic Geometry in East Asia 2023 2023/11/06

  13. F-blowups and essential divisors

    Takehiko Yasuda

    2023/10/24

  14. F-blowups of quotient singularities and toric singularities

    Takehiko Yasuda

    2023/10/16

  15. F-blowups and essential divisors

    Topology of Singularities and Related Topics 2023/09/12

  16. F-blowups and essential divisors

    Takehiko Yasuda

    2023/06/02

  17. Stringy invariants and finiteness of local fundamental groups

    Takehiko Yasuda

    Non-Archimedean methods in arithmetic and geometry 2023/02/16

  18. Batyrev-Manin conjecture for Deligne-Mumford stacks

    Takehiko Yasuda

    Session "Arithmetic Geometry: Theory and Computation" of PRIMA Congress 2022 2022/12/08

  19. Orbifold pseudo-effective cones

    Takehiko Yasuda

    Rationality, Moduli Spaces, and Related Topics 2022/11/10

  20. Another height function for Deligne-Mumford stacks via twisted sectors

    Takehiko Yasuda

    Geometry of Arithmetic Statistics (Simons Symposium) 2022/09/01

  21. Local étale fundamental groups of log terminal surface singularities

    Takehiko Yasuda

    Algebraic Number Theory and Related Topics 2021/12/15

  22. The wild McKay correspondence and motivic integration

    Takehiko Yasuda

    Colloquium talk, Tohoku University (Online) 2021/11/15

  23. Introduction to algebraic stacks (with emphasis on application to singularities)

    Takehiko Yasuda

    RIMS x OIST Jointly-funded Workshop: "Interactions of New Trends in Algebraic Geometry and Singularities" 2021/10/15

  24. The isomorphism problem for projective schemes

    Takehiko Yasuda

    Algebra Session, MSJ-KMS Joint Meeting 2021 2021/09/13

  25. Local fundamental groups of log terminal singularities via stringy motives

    Takehiko Yasuda

    Recent Developments in Algebraic Geometry, Arithmetic and Dynamics Part 1 2021/06/15

  26. On the isomorphism problem of projective schemes

    Takehiko Yasuda

    AGEA (Algebraic Geometry in East Asia) Seminar 2021/04/30

  27. Stringy motives and local fundamental groups of klt surface singularities in arbitrary characteristic

    Takehiko Yasuda

    ZAG (Zoom Algebraic Geometry) Seminar 2021/04/06

  28. Quotient singularities via stringy motives

    Takehiko Yasuda

    2020 OIST Workshop “Quantum Math, Singularities and Applications” 2021/02/12

  29. Motivic integration and the McKay correspondence

    Takehiko Yasuda

    2020/10/26

  30. 位数$p^2$の巡回群による商特異点

    安田健彦

    特異点セミナー 2020/09/02

  31. The motivic McKay correspondence in arbitrary characteristics

    Takehiko Yasuda

    The McKay correspondence, mutation and related topics 2020/07/17

  32. Motivic integration over DM stacks and its applications

    Takehiko Yasuda

    Arithmetic Geometry seminar, The University of Münster 2020/06/30

  33. Motivic integration over DM stacks and its applications

    Takehiko Yasuda

    Online Algebraic Geometry Seminar, Osaka University 2020/06/08

  34. The wild McKay correspondence of arbitrary finite groups

    Yasuda, Takehiko

    2019/11/18

  35. A survey on the wild McKay correspondence: the arithmetic viewpoint and recent results

    Yasuda, Takehiko

    2019/09/10

  36. The wild McKay correspondence for an arbitrary finite group

    Yasuda, Takehiko

    Interaction Between Algebraic Geometry and QFT 2019/06/25

  37. The wild McKay correspondence for an arbitrary finite group

    Yasuda, Takehiko

    RIMS & OIST Workshop: On the Problem of Resolution of Singularities and its Vicinity 2019/06/10

  38. Motivic integration and the wild McKay correspondence

    Yasuda, Takehiko

    a lecture series at EPFL (École polytechnique fédérale de Lausanne)

  39. モチーフ積分とマッカイ対応

    安田健彦

    第24回代数学若手研究会 2019/02/21

  40. Computational aspects of the McKay correspondence

    YASUDA Takehiko

    Higher Dimensional Arithmetic Geometry 2019/02/19

  41. A moduli problem in the wild McKay correspondence

    YASUDA Takehiko

    Categorical and Analytic Invariants in Algebraic Geometry Ⅵ 2018/11/27

  42. Singularities and rational points

    YASUDA Takehiko

    2018/10/17

  43. Motivic mass formulae for formal torsors

    YASUDA Takehiko

    Arithmetic Geometry : l-adic and p-adic aspects 2018/09/13

  44. Cohen-Macaulayness of klt singularities in positive characteristics

    YASUDA Takehiko

    2018/09/05

  45. Quotient singularities by the cyclic group of order p

    YASUDA Takehiko

    Modern Algebraic Geometry 2018/07/23

  46. Moduli of formal torsors

    YASUDA Takehiko

    2018/04/27

  47. The wild McKay correspondence

    YASUDA Takehiko

    2018/04/23

  48. The wild McKay correspondence and moduli of formal torsors

    YASUDA Takehiko

    Guest seminar "Arithmetic Geometry" 2018/03/24

  49. The motivic version of Serre’s mass formula

    YASUDA Takehiko

    Higher dimensional algebraic geometry 2018/03/12

  50. Moduli of formal torsors

    YASUDA Takehiko

    Singularities and Algebraic Geometry 2018/01/12

  51. Equisingularities and dualities of local field masses

    YASUDA Takehiko

    The 5th Franco-Japanese-Vietnamese Symposium on Singularities 2017/11/01

  52. The wild McKay correspondence

    YASUDA Takehiko

    Hakodate workshop on arithmetic geometry 2017 2017/05/30

  53. Rational points on quotient varieties

    YASUDA Takehiko

    2017 Atkin Workshop: Height zeta functions 2017/04/29

  54. Moduli of Galois extensions of a power series field and singularities

    YASUDA Takehiko

    Algebra Seminar, University of Pennsylvania 2017/04/24

Media Coverage 3

  1. 【大阪大学理学部】真理を探究する!!|自然界の謎を好奇心と最先端研究で解き明かす!!

    東進

    2022/05

  2. インタビュー・私の軌跡:安田健彦 代数幾何の最前線を駆ける(後編)

    東京出版

    2019/08

  3. インタビュー・私の軌跡:安田健彦 代数幾何の最前線を駆ける(前編)

    東京出版

    2019/07

Academic Activities 7

  1. Associate Editor: Osaka Journal of Mathematics

    2020/04/01 - Present

  2. Osaka One-day Workshop on Arithmetic of Stacks and Coverings

    2025/06/27 - 2025/06/27

  3. Moduli spaces and Arithmetic

    2024/09/09 - 2024/09/13

  4. Associate Editor: Tohoku Mathematical Journal

    2018/04/01 - 2020/03/31

  5. 研究集会「Singularities and Arithmetics」

    2020/02/17 - 2020/02/20

  6. Rational Points on Higher Dimensional Varieties

    2019/12/02 - 2019/12/06

  7. ミニワークショップ「正標数の特異点、基本群、分岐」

    2017/12/08 - 2017/12/08