Basic Information

Faculty

• Faculty of Science

Email Address

• Email Address

  taniguchi.masaki.7mkyoto-u.ac.jp

Academic Degree

• 23 Mar. 2017

  東京大学修士（理学）
• 23 Mar. 2020

  東京大学博士（理学）

Academic Resume (Undergraduate School/Majors)

• 島根大学, 総合理工学部数理・情報システム学科, 卒業

ID,URL

• J-Global ID

  202301011710461058

• Researcher number

  30880520

• External link

  https://sites.google.com/view/masaki-taniguchis-homepage/home?authuser=0

researchmap URL

• https://researchmap.jp/masaki.taniguchi

Research

Research Interests

• singular instanton Floer homology
• gauge theory for non-compact 4-manifolds
• Equivariant Floer homology
• Floer homotopy type
• homology cobordism
• knot concordance
• Floer homology
• 4-manifold
• gauge theory

Research Areas

• Natural sciences, Geometry, ゲージ理論, 低次元トポロジー

Papers

• Instantons, special cycles and knot concordance

  Aliakbar Daemi; Hayato Imori; Kouki Sato; Christopher Scaduto; Masaki Taniguchi

  Geometry & Topology, 26 Nov. 2025, Peer-reviewed

  
• Involutions, knots, and Floer K -theory

  Hokuto Konno; Jin Miyazawa; Masaki Taniguchi

  Compositio Mathematica, Nov. 2025, Peer-reviewed

  
• Exotic Dehn twists and homotopy coherent group actions

  Sungkyung Kang; JungHwan Park; Masaki Taniguchi

  Inventiones mathematicae, 10 Oct. 2025, Peer-reviewed

  
• An adjunction inequality for the Bauer–Furuta type invariants, with applications to sliceness and 4-manifold topology

  Nobuo Iida; Anubhav Mukherjee; Masaki Taniguchi

  Advances in Mathematics, Apr. 2025, Peer-reviewed

  
• Diffeomorphisms of 4-manifolds with boundary and exotic embeddings

  Nobuo Iida; Hokuto Konno; Anubhav Mukherjee; Masaki Taniguchi

  Mathematische Annalen, 17 Aug. 2024, Peer-reviewed

  
• Involutions, links, and Floer cohomologies

  Hokuto Konno; Jin Miyazawa; Masaki Taniguchi

  Journal of Topology, 10 Jun. 2024, Peer-reviewed

  
• Filtered instanton Floer homology and the homology cobordism group

  Yuta Nozaki; Kouki Sato; Masaki Taniguchi

  Journal of the European Mathematical Society, 03 Aug. 2023, Peer-reviewed

  
• Positive scalar curvature and homology cobordism invariants

  Hokuto Konno; Masaki Taniguchi

  Journal of Topology, 29 May 2023, Peer-reviewed

  
• A note on generalized Thurston–Bennequin inequalities

  Nobuo Iida; Hokuto Konno; Masaki Taniguchi

  International Journal of Mathematics, 13 Dec. 2022, Peer-reviewed

  
• The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary

  Hokuto Konno; Masaki Taniguchi

  Advances in Mathematics, Nov. 2022, Peer-reviewed

  
• Seifert hypersurfaces of 2-knots and Chern–Simons functional

  Masaki Taniguchi

  Quantum Topology, 30 Mar. 2022, Peer-reviewed

  
• Seiberg–Witten Floer Homotopy Contact Invariant

  Studia Scientiarum Mathematicarum Hungarica, 03 Dec. 2021, Peer-reviewed

  
• Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends

  Hokuto Konno; Masaki Taniguchi

  Inventiones mathematicae, 19 Jun. 2020, Peer-reviewed

  
• Rational homology 3–spheres and simply connected definite bounding

  Kouki Sato; Masaki Taniguchi

  Algebraic & Geometric Topology, 23 Apr. 2020, Peer-reviewed

  
• Instantons for 4-manifolds with periodic ends and an obstruction to embeddings of 3-manifolds

  Masaki Taniguchi

  Topology and its Applications, Jul. 2018, Peer-reviewed

  

Presentations

• Any non-trivial cable of the figure eight knot is infinite order

  Masaki Taniguchi

  4次元トポロジー, 08 Nov. 2025

  
• Gauge theory for non-compact 4-manifolds and applications to geometry

  Masaki Taniguchi

  第二回日米幾何解析ワークショップ, Invited

  
• Any non-trivial cable of the figure eight knot has infinite order

  Masaki Taniguchi

  Topology Seminar, KAIST, 27 Aug. 2025, Invited

  
• Adjunction inequality and topology of symplectic caps

  谷口正樹

  ゲージ理論セミナー, 京都大学数学教室, 25 Jun. 2025, Invited

  
• Knot concordance and real Seiberg-Witten theory

  Masaki Taniguchi

  ハンドルセミナー25, 20 Jun. 2025, Invited

  
• Odd pattern satellite formula for real Floer homotopy types

  Masaki Taniguchi

  Modern Developments in Low-Dimensional Topology, Italy, Trieste, Invited

  
• Knot concordance invariants from real Seiberg-Witten theory

  Masaki Taniguchi

  Gauge Theory Virtual, zoom, 22 Jan. 2025, Invited

  
• Homotopy coherent group actions and Seiberg--Witten theory

  Masaki Taniguchi

  The East Asian Gauge Theory Conference on Gauge Theory and Related Topics 2, Invited

  
• Sliceness problem via real Seiberg-Witten theory

  Masaki Taniguchi

  Gauge theory in Tokyo, 01 Aug. 2024

  

Awards

• 23 Mar. 2020

  東京大学大学院数理科学研究科長賞

Education

Teaching subject(s)

• From 01 Apr. 2026, To 31 Mar. 2027

  Advanced Calculus I - Vector Calculus

  N124, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Advanced Geometry II

  4103, Spring, Faculty of Science, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Topics in Geometry B

  0272, Spring, Graduate School of Science, 2
• From 01 Apr. 2026, To 31 Mar. 2027

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Exercises in Geometry II

  3162, Fall, Faculty of Science, 4
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Differential Geometry C

  0534, Spring, Graduate School of Science, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Differential Geometry B

  0533, Fall, Graduate School of Science, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Differential Geometry A

  0532, Spring, Graduate School of Science, 3
• From 01 Apr. 2026, To 31 Mar. 2027

  Seminar on Differential Geometry D

  0535, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2025, To 31 Mar. 2026

  Exercises in Geometry I

  3182, Spring, Faculty of Science, 4
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus I - Vector Calculus

  N124, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Exercises in Geometry I

  3182, Spring, Faculty of Science, 4