Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 応用数理講座, 准教授

Academic Degree

• 修士（数理科学）(東京大学)
• 博士（数理科学）(東京大学)

ID,URL

• J-Global ID

  200901019327770455

researchmap URL

• https://researchmap.jp/read0123907

Research

Research Topics, Overview of the research

• Research Topics

  birational geometry, minimal model program, singularities

• Overview of the research

  I am researching birational geometry of algebraic varieties. My early work is the explicit classification of threefold divisorial contractions. Currently I am studying singularities in the minimal model program towards the termination of flips, by focusing on minimal log discrepancies.

Papers

• Divisors computing the minimal log discrepancy on a smooth surface

  Masayuki Kawakita

  MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Jul. 2017, Peer-reviewed

  
• A connectedness theorem over the spectrum of a formal power series ring

  Masayuki Kawakita

  INTERNATIONAL JOURNAL OF MATHEMATICS, Oct. 2015, Peer-reviewed

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• THE INDEX OF A THREEFOLD CANONICAL SINGULARITY

  Masayuki Kawakita

  AMERICAN JOURNAL OF MATHEMATICS, Feb. 2015, Peer-reviewed

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• DISCRETENESS OF LOG DISCREPANCIES OVER LOG CANONICAL TRIPLES ON A FIXED PAIR

  Masayuki Kawakita

  JOURNAL OF ALGEBRAIC GEOMETRY, Oct. 2014, Peer-reviewed

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• Ideal-adic semi-continuity problem for minimal log discrepancies

  Masayuki Kawakita

  MATHEMATISCHE ANNALEN, Aug. 2013, Peer-reviewed

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• Ideal-adic Semi-continuity of Minimal Log Discrepancies on Surfaces

  Masayuki Kawakita

  MICHIGAN MATHEMATICAL JOURNAL, 2013, Peer-reviewed

  
• SUPPLEMENT TO CLASSIFICATION OF THREEFOLD DIVISORIAL CONTRACTIONS

  Masayuki Kawakita

  NAGOYA MATHEMATICAL JOURNAL, Jun. 2012, Peer-reviewed

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• TOWARDS BOUNDEDNESS OF MINIMAL LOG DISCREPANCIES BY THE RIEMANN-ROCH THEOREM

  Masayuki Kawakita

  AMERICAN JOURNAL OF MATHEMATICS, Oct. 2011, Peer-reviewed

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• On a comparison of minimal log discrepancies in terms of motivic integration

  Masayuki Kawakita

  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Jul. 2008, Peer-reviewed

  
• Inversion of adjunction on log canonicity

  Masayuki Kawakita

  INVENTIONES MATHEMATICAE, Jan. 2007, Peer-reviewed

  
• Three-fold divisorial contractions to singularities of higher indices

  M Kawakita

  DUKE MATHEMATICAL JOURNAL, Oct. 2005, Peer-reviewed

  
• General elephants of three-fold divisorial contractions

  M Kawakita

  JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, Peer-reviewed

  
• Divisorial contractions in dimension three which contract divisors to compound A(1) points

  M Kawakita

  COMPOSITIO MATHEMATICA, Aug. 2002, Peer-reviewed

  
• Divisorial contractions in dimension three which contract divisors to smooth points

  M Kawakita

  INVENTIONES MATHEMATICAE, Jul. 2001, Peer-reviewed

  
• On equivalent conjectures for minimal log discrepancies on smooth threefolds

  M. Kawakita

  arXiv:1803.02539, Peer-reviewed

  

Misc.

• 極小モデル理論の発展

  川北 真之

  平成22 年8 月2 日（月）から8月5 日（木）まで, 2010, Peer-reviewed

  

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Varieties d

  1260, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Varieties c

  1259, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Varieties b

  1258, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Varieties a

  1257, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties d

  1260, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties c

  1259, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties b

  1258, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties a

  1257, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties a

  1257, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties b

  1258, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties d

  1260, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties c

  1259, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties d

  1260, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties a

  1257, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties c

  1259, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties b

  1258, Fall, Graduate School of Science, 3
• From Apr. 2011, To Mar. 2012

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Seminar on Algebraic Varieties A

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Algebraic Varieties B

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Algebraic Varieties C

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Algebraic Varieties D

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Algebraic Varieties A

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Algebraic Varieties B

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Algebraic Varieties C

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Algebraic Varieties D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Algebraic Varieties A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Algebraic Varieties B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Algebraic Varieties C

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Algebraic Varieties D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Seminar on Algebraic Varieties A

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Algebraic Varieties B

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Algebraic Varieties C

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Algebraic Varieties D

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Algebraic Varieties a

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Algebraic Varieties b

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Algebraic Varieties c

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Algebraic Varieties d

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Algebraic Varieties a

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Algebraic Varieties b

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Algebraic Varieties c

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Algebraic Varieties d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Algebraic Varieties a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Algebraic Varieties b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Algebraic Varieties c

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Algebraic Varieties d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Algebraic Varieties a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Algebraic Varieties b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Algebraic Varieties c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Algebraic Varieties d

  Fall, 理学研究科

Administration

School management (title, position)

• From 01 Apr. 2021, To 31 Mar. 2023

  北部構内交通委員会　委員

Faculty management (title, position)

• From 01 Apr. 2022, To 31 Mar. 2026

  北部構内交通委員会委員
• From 01 Apr. 2022, To 31 Mar. 2024

  理学研究科大学院教育教務委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科大学院教育教務委員会 委員