Papers

• Preprints

23. The homology of moduli spaces of 4-manifolds may be infinitely generated, arXiv:2310.18695
24. Exotic Dehn twists on 4-manifolds (with Abhishek Mallick and Masaki Taniguchi), arXiv:2306.08607
25. From diffeomorphisms to exotic phenomena in small 4-manifolds (with Abhishek Mallick and Masaki Taniguchi), arXiv:2304.05997
26. Homological instability for moduli spaces of smooth 4-manifolds (with Jianfeng Lin), arXiv:2211.03043
27. Exotic codimension-1 submanifolds in 4-manifolds and stabilizations (with Anubhav Mukherjee and Masaki Taniguchi), arXiv:2210.05029
28. Diffeomorphisms of 4-manifolds with boundary and exotic embeddings (with Nobuo Iida, Anubhav Mukherjee, and Masaki Taniguchi), arXiv:2203.14878
29. Involutions, knots, and Floer K-theory (with Jin Miyazawa and Masaki Taniguchi), arXiv:2110.09258

• Journal Articles

1. Involutions, links, and Floer cohomologies (with Jin Miyazawa and Masaki Taniguchi), to appear in Journal of Topology [arXiv:2304.01115]
2. A note on generalized Thurston-Bennequin inequalities (with Nobuo Iida and Masaki Taniguchi), International Journal of Mathematics 33 (2022), no. 14, Paper No. 2250089, 8 pp. [arXiv:2207.00229]
3. Dehn twists and the Nielsen realization problem for spin 4-manifolds, to appear in Algebraic & Geometric Topology [arXiv:2203.11631]
4. Positive scalar curvature and homology cobordism invariants (with Masaki Taniguchi), Journal of Topology 16 (2023), no. 2, 679–719. [arXiv:2104.10860]
5. A note on exotic families of 4-manifolds (with Tsuyoshi Kato and Nobuhiro Nakamura), Proceedings of the American Mathematical Society 151 (2023), no. 6, 2695–2705. [arXiv:2101.00367]
6. The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary (with Masaki Taniguchi), Advances in Mathematics 409 (2022), Paper No. 108627, 58 pp. [arXiv:2010.00340]
7. Constraints on families of smooth 4-manifolds from $\mathrm{Pin}^{-}(2)$-monopole (with Nobuhiro Nakamura), Algebraic & Geometric Topology 23 (2023), no. 1, 419–438 [arXiv:2003.12517]
8. A note on the Nielsen realization problem for K3 surfaces (with David Baraglia), Proceedings of the American Mathematical Society 151 (2023), no. 9, 4079–4087. [arXiv:1908.03970]
9. Rigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds (with Tsuyoshi Kato and Nobuhiro Nakamura), Compositio Mathematica 157 (2021), no. 4, 770–808. [arXiv:1906.02943]
10. On the Bauer-Furuta and Seiberg-Witten invariants of families of 4-manifolds (with David Baraglia), Journal of Topology 15 (2022), no. 2, 505–586. [arXiv:1903.01649]
11. A gluing formula for families Seiberg-Witten invariants (with David Baraglia), Geometry & Topology 24 (2020), no. 3, 1381–1456. [arXiv:1812.11691]
12. Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends (with Masaki Taniguchi), Inventiones Mathematicae 222 (2020), no. 3, 833–880. [arXiv:1809.00528]
13. Characteristic classes via 4-dimensional gauge theory, Geometry & Topology 25 (2021), no. 2, 711–773. [arXiv:1803.09833]
14. Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations, Journal of Topology 12 (2019), no. 4, 1246–1265. [arXiv:1707.08974]
15. A cohomological Seiberg-Witten invariant emerging from the adjunction inequality, Journal of Topology 15 (2022), no. 1, 108–167. [arXiv:1704.05859]
16. Bounds on genus and configurations of embedded surfaces in 4-manifolds, Journal of Topology 9 (2016), no. 4, 1130–1152. [arXiv:1507.00139]

• Proceedings

• Gauge theory for families (Japanese), Sūgaku, to appear
• Floer K-theory for knots, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kôkyûroku, No. 2227, 6-12 (2022)
• A family of the Seiberg-Witten equations and configurations of embedded surfaces in 4-manifolds, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kôkyûroku, No. 2004, 13-22 (2016)

Lecture series

1. Seiberg-Witten theory for families, Gauge theory and its application to geometry and low-dimensional topology, University of Regensburg, Lecture Courses, Jul. 2023（1 hour × 4 days）
2. Seiberg-Witten theory and topology, Department of Mathematics, Kyoto University, Mar. and Jun. 2022 (2 hours × 5 days)
3. Recent developments in Seiberg-Witten theory, Yau Mathematical Sciences Center, Tsinghua University [Online], Mar. 2022 (1.5 hours × 3 days)
4. Seiberg-Witten theory for families I, II, 2021 Winter Mini Course - Gauge Theory Virtual, The United States [Online]，Jan. 2021（1 hour × 2 days）

Talks

1. Infiniteness of 4-dimensional mapping class groups and characteristic classes, Topology Seminar, Princeton University, Apr. 2024
2. Infiniteness of 4-dimensional mapping class groups and characteristic classes, Symplectic Geometry, Gauge Theory, and Low-Dimensional Topology Seminar, Simons Center for Geometry and Physics, Apr. 2024
3. Infiniteness of 4-dimensional mapping class groups and characteristic classes, Gauge Theory & Low‐dimensional Topology, Royal Palm Hotel, Miami Beach, Apr. 2024
4. From families Seiberg-Witten theory to corks, Differential Topology '24, Online [University of Tsukuba], Mar. 2024
5. Infiniteness of 4-dimensional mapping class groups and characteristic classes, Topology seminar at the University of Texas at Austin, The University of Texas at Austin, Mar. 2024
6. Spaces of positive scalar curvature metrics on 4-manifolds, Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, Oberwolfach Research Institute for Mathematics, Feb. 2024
7. Families Frøyshov invariant, Brandeis Topology Seminar, Brandeis University, Feb. 2024
8. Infiniteness of 4-dimensional mapping class groups and characteristic classes, Rutgers Geometry/Topology seminar, Rutgers University, Jan. 2024
9. Families Frøyshov invariant, Topology Seminar, Michigan State University, Nov. 2023
10. Diffeomorphism groups and gauge theory, RTG Seminar, Michigan State University, Nov. 2023
11. Families Froyshov invariant, Columbia Symplectic Geometry and Gauge Theory Seminar, Columbia University, Oct. 2023
12. Exotic Dehn twists on 4-manifolds, UMass Geometry and Topology Seminar, University of Massachusetts Amherst, Oct. 2023
13. Exotic Dehn twists on 4-manifolds, AMS Sectional Meeting, Creighton University, Oct. 2023
14. Homological instability for moduli spaces of 4-manifolds, Mapping class groups: pronilpotent and cohomological approaches, SwissMAP Research Station, Sep. 2023
15. Exotic Dehn twists on 4-manifolds, Gauge Theory and Topology: in Celebration of Peter Kronheimer's 60th Birthday, University of Oxford, Jul. 2023
16. Exotic Dehn twists on 4-manifolds, Gauge theory and its application to geometry and low-dimensional topology, University of Regensburg, Jul. 2023
17. Exotic Dehn twists on 4-manifolds, Topology of 3- and 4-dimensional manifolds, Princeton University, Jul. 2023
18. Seiberg-Witten theory and moduli spaces of 4-manifolds and metrics, Differentialgeometrie im Grossen, Oberwolfach Research Institute for Mathematics, Jul. 2023
19. Homological instability for moduli spaces of 4-manifolds, 2023 Georgia Topology Conference, University of Georgia, May 2023
20. An exotic diffeomorphism of a contractible 4-manifold, Boston Graduate Topology Seminar, Massachusetts Institute of Technology, Apr. 2023
21. Homological instability for moduli spaces of 4-manifolds, Symplectic Geometry, Gauge Theory, and Low-Dimensional Topology Seminar, Simons Center for Geometry and Physics, Apr, 2023
22. Homological instability for moduli spaces of 4-manifolds, Gauge Theory in Kyoto, Kyoto University, Mar. 2023
23. Homological instability for moduli spaces of 4-manifolds, Conference "Geometric Analysis", University of Regensburg, Mar. 2023
24. Homological instability for moduli spaces of 4-manifolds, MIT Geometry and Topology Seminar, Massachusetts Institute of Technology, Feb. 2023
25. Homological instability for moduli spaces of 4-manifolds, Brandeis Topology Seminar, Brandeis University, Jan. 2023
26. Homological instability for moduli spaces of 4-manifolds, The 7th Japan-China Geometry Conference, Online [Hiroshima University]，Dec. 2022
27. Cohomological Invariants in Gauge Theory for Families, Diffeomorphisms and Gauge Theory Seminar, Simons Laufer Mathematical Sciences Institute, Nov. 2022
28. Equivariant K-Theory, Homotopy Computations and uses in Floer Theory Seminar, Simons Laufer Mathematical Sciences Institute, Oct. 2022
29. Homological Instability in Dimension 4, FHT Program Seminar, Simons Laufer Mathematical Sciences Institute, Oct. 2022
30. Dehn twists and Nielsen realization in dimension 4, Topological Studies around Riemann Surfaces, Online, Sep. 2022
31. Seiberg-Witten Floer homotopy and its applications, Geometry Symposium (Plenary talk)，Tokyo University of Science, Aug. 2022
32. Seiberg-Witten Floer homotopy, iTHEMS Math Seminar, RIKEN, Jul. 2022
33. Gauge theory and the diffeomorphism groups of 4-manifolds, Colloquium, Kyoto University, Jun. 2022
34. Floer K-theory for knots, Intelligence of Low-dimensional Topology, Online [Kyoto University], May 2022
35. Nielsen realization, knots, and Seiberg-Witten (Floer) homotopy theory, Tuesday Seminar on Topology, Online [The University of Tokyo], May 2022
36. Floer K-theory for knots, MIT Geometry and Topology Seminar, Online [MIT], Feb. 2022
37. Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations, Seminar on Seiberg-Witten theory, Online [Germany], Feb. 2022
38. Floer K-theory for knots, Japan-Netherlands Joint Online Seminar, Online [Japan-Netherlands], Feb. 2022
39. Floer K-theory for knots, Topology and Geometry of Low-dimensional Manifolds, Online [Japan-Europe], Jan. 2022
40. Seiberg-Witten Floer K-theory for knots, CGP Seminar, Online [IBS-CGP], Jan. 2022
41. Floer K-theory for knots, Stanford Topology Seminar, Online [Stanford University], Jan. 2022
42. Involutions, knots, and Floer K-theory, Kansai Gauge Theory Seminar, Online [Kyoto University], Nov. 2021
43. Exotic diffeomorphisms of 4-manifolds with boundary, Four Dimensional Topology, Online [Osaka University], Nov. 2021
44. Involutions, knots, and Floer K-theory, Handle friendship seminar, Online, Nov. 2021
45. Positive scalar curvature and homology cobordism invariants I, Kansai Gauge Theory Seminar, Online [Kyoto University], Jun. 2021
46. Gauge theory and diffeomorphism and homeomorphism groups, MSJ Spring Meeting (Invited talk), Online [Keio University], Mar. 2021
47. Taubes' theorem, Differential Topology '21, Online, Feb. 2021
48. The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary, Kansai Gauge Theory Seminar, Online [Kyoto University], Dec. 2020
49. The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary, Four Dimensional Topology, Online [Osaka University], Nov. 2020
50. The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary, International Workshop on 4-Manifold Theory and Gauge Theory, Online [Japan-Korea], Nov. 2020
51. On the diffeomorphism and homeomorphism groups of a K3 surface, Japanese-European Symposium on Symplectic Varieties and Moduli Spaces – Fifth Edition Online, Online [Osaka City University], Sep. 2020
52. Gauge theory and the diffeomorphism and homeomorphism groups of 4-manifolds, Tuesday Seminar on Topology, Online [The University of Tokyo], Jun. 2020
53. Diff vs. Homeo in dimension 4: recent development, Kansai Gauge Theory Seminar, Online [Kyoto University], Apr. 2020
54. Gauge theory and the automorphism groups of 4-manifolds, Topological invariants of the bulk and edge-of-edge states of higher order topological insulators, Osaka University, Feb. 2020
55. The diffeomorphism and homeomorphism groups of K3, 4-Dimensional Topology and Gauge Theory, ESCALE-YOKOHAMA, Jan. 2020
56. The diffeomorphism and homeomorphism groups of K3, Special seminar, Keio University, Dec. 2019
57. The diffeomorphism and homeomorphism groups of K3, Four Dimensional Topology, Osaka University, Nov. 2019
58. Positive scalar curvature and gauge-theoretic constraints on 4-manifolds, The first Geometry Conference for Friendship of Japan and Germany, Chuo University, Sep. 2019
59. The diffeomorphism and homeomorphism groups of K3, MSJ Autumn Meeting, Kanazawa University, Sep. 2019
60. Rigidity of the mod 2 families Seiberg-Witten invariants, MSJ Autumn Meeting, Kanazawa University, Sep. 2019
61. How to use K-theory in gauge theory, Young mathematicians workshop on algebraic, geometric, and analytic aspects of K theory and vector bundles, University of the Ryukyu, Aug. 2019
62. The diffeomorphism and homeomorphism groups of 4-manifolds, Floer Homotopy Theory and Low-Dimensional Topology, University of Oregon, Aug. 2019
63. Difference between the diffeomorphism and homeomorphism groups of 4-manifolds, Four manifolds: Confluence of high and low dimensions, the Fields Institute, Jul. 2019
64. Non-smoothable bundles and gauge theory for families, Geometry, Topology and Dynamics Seminar, the Okinawa Institute of Science and Technology, May 2019
65. Characteristic classes defined using 4-dimensional gauge theory, Johnson homomorphisms and related topics 2019, The University of Tokyo, May 2019
66. Gauge theory and symmetries of 4-dimensional spaces, iTHEMS Math Seminar, RIKEN, Apr. 2019
67. The diffeomorphism and homeomorphism groups in dimension 4 and Seiberg-Witten theory, Chiba University Geometry Seminar, Chiba University, Apr. 2019
68. Characteristic classes of 4-manifold bundles and gauge theory for families, Special seminar, Keio University, Mar. 2019
69. Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends, MSJ Spring Meeting, Tokyo Institute of Technology, Mar. 2019
70. Gauge theory for families of 4-manifolds, Kanto Yong Geometry Seminar, The University of Tokyo, Feb. 2019
71. Gluing formula for Seiberg-Witten invariants for families and group actions, Kansai Gauge Theory Seminar, Kyoto University, Jan. 2019
72. Gluing formula for the families Seiberg-Witten invariant and its applications, Kansai Gauge Theory Seminar, Kyoto University, Dec. 2018
73. Gauge theory for families of 4-manifolds, Seoul-Tokyo Conference in Mathematics, Korea Institute for Advanced Study, Dec. 2018
74. Gauge theory for families of 4-manifolds, East Asian Conference on Gauge Theory and Related Topics, Kyoto University, Sep. 2018
75. A family version of the Bauer-Furuta invariant and the complex of surfaces, Four Dimensional Topology, Osaka City University, Sep. 2018
76. Characteristic classes via 4-dimensional gauge theory, Geometry Symposium, Tohoku University, Aug. 2018
77. Gauge theory for families of 4-manifolds, Topology Symposium, Shinshu University, Aug. 2018
78. Gauge theory for families of 4-manifolds, Gauge Theory and Applications, The University of Regensburg, Jul. 2018
79. Characteristic classes via 4-dimensional gauge theory, Geometry seminar, Nagoya University, Jun. 2018
80. Characteristic classes via 4-dimensional gauge theory, Tuesday Seminar on Topology, The University of Tokyo, Jun. 2018
81. Family gauge theory and characteristic classes of bundles of 4-manifolds, Differential geometry seminar, The University of Adelaide, Mar. 2018
82. Seiberg-Witten theory 101 (seminar series), Intermediate notions seminar, The University of Adelaide, Mar. 2018
83. Family gauge theory and characteristic classes of bundles of 4-manifolds, Gauge theory in Fukuoka, Kyushu University/Kanpo no Yado Yanagawa, Feb. 2018
84. Characteristic classes of bundles of a 4-manifold via gauge theory, Four Dimensional Topology, Osaka City University, Nov. 2017
85. Families of Seiberg-Witten equations and positive scalar curvature, Tokyo Tech Geometry seminar, Tokyo Institute of Technology, Nov. 2017
86. Complex of embedded surfaces in a 4-manifold and family Seiberg-Witten theory, The East Asian Symplectic Conference, Sichuan University, Oct. 2017
87. A cohomological Seiberg-Witten invariant emerging from the adjunction inequality, UCLA Topology Seminar, University of California, Los Angeles, Oct. 2017
88. A cohomological Seiberg-Witten invariant, Kansai Gauge Theory Seminar, Kyoto University, Sep. 2017
89. Positive scalar curvature and Seiberg-Witten invariants of tuples of diffeomorphisms, MSJ Autumn Meeting, Yamagata University, Sep. 2017
90. A cohomological Seiberg-Witten invariant, Differential Topology Seminar, Kyoto University, Sep. 2017
91. Lattice defects from monodromy, Mathematics in Interface, Dislocation and Structure of Crystals, Kyushu University, Aug. 2017
92. A cohomological Seiberg-Witten invariant emerging from the adjunction inequality, Low Dimensional Topology and Gauge Theory, BIRS-CMO, Aug. 2017
93. A cohomological Seiberg-Witten invariant, Germany-Japan One-Day Workshop on Geometry and Topology, Waseda University, May 2017
94. Cohomological Seiberg-Witten invariant, Geometry and topology seminar, Keio University, Apr. 2017
95. Cohomological Seiberg-Witten invariant, Geometry seminar, Nagoya University, Mar. 2017
96. Genus bound problem and a cohomological Seiberg-Witten invariant, East Asian Core Doctorial Forum on Mathematics 2017，Seoul National University, Jan. 2017
97. Complex of surfaces violating the adjunction inequalities, Four Dimensional Topology, Osaka City University, Nov. 2016
98. Gauge theory and embeddings of surfaces into 4-manifolds, Mathematics and Physics, Nara Women’s University, Nov. 2016
99. High-dimensional wall crossing and gluing in Seiberg-Witten theory, MSJ Autumn Meeting, Kansai University, Sep. 2016
100. High-dimensional wall crossing and gluing in Seiberg-Witten theory, Geometry Symposium, Okayama Univeristy, Aug. 2016
101. A family of the Seiberg-Witten equations and configurations of embedded surfaces in 4-manifolds, Topology/Singular Theory and Applications, Aoyama Gakuin University, Jun. 2016
102. A family of the Seiberg-Witten equations and configurations of embedded surfaces in 4-manifolds, Intelligence of Low-dimensional Topology, Kyoto University, May 2016
103. An invariant of 4-manifolds and the adjunction inequalities, Handle friendship seminar, Tokyo Institute of Technology, Apr. 2016
104. Seiberg-Witten theory and the adjunction inequalities, Differential Topology 16, University of Tsukuba, Mar. 2016
105. Bounds on genus and configurations of embedded surfaces in 4-manifolds, MSJ Spring Meeting, University of Tsukuba, Mar. 2016
106. Bounds on genus and configurations of embedded surfaces in 4-manifolds, Kansai Gauge Theory Seminar, Kyoto University, Mar. 2016
107. Bounds on genus and configurations of embedded surfaces in 4-manifolds, Berkeley-Tokyo Winter School "Geometry, Topology and Representation Theory" University of California, Berkeley
108. Bounds on genus and configurations of embedded surfaces in 4-manifolds, Four Dimensional Topology, Osaka City University, Nov. 2015
109. Bounds on genus and configurations of embedded surfaces in 4-manifolds, Geometry Seminar, Tokyo Metropolitan University, Nov. 2015
110. Bounds on genus and configurations of embedded surfaces in 4-manifolds, Handle friendship seminar, Tokyo Institute of Technology, Sep. 2015
111. The generalized Thom conjecture and Seiberg-Witten wall crossing, Topology Seminar, Gakushuin University, Jul. 2015
112. The moduli space of flat SU(2)-connections on a surface with boundary: an example, Mini-workshop on symplectic geometry of moduli spaces of connections, Waseda University, Feb. 2014

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