Papers

Preprints
 On fourdimensional Dehn twists and Milnor fibrations (with Jianfeng Lin, Anubhav Mukherjee, and Juan MuñozEchániz),
arXiv:2409.11961
 Exotically knotted closed surfaces from Donaldson's diagonalization for families (with Abhishek Mallick and Masaki Taniguchi),
arXiv:2409.07287
 On localizing groups of exotic diffeomorphisms of 4manifolds (with Abhishek Mallick),
arXiv:2406.11773
 Exotic Dehn twists on 4manifolds (with Abhishek Mallick and Masaki Taniguchi),
arXiv:2306.08607
 From diffeomorphisms to exotic phenomena in small 4manifolds (with Abhishek Mallick and Masaki Taniguchi),
arXiv:2304.05997
 Homological instability for moduli spaces of smooth 4manifolds (with Jianfeng Lin),
arXiv:2211.03043
 Exotic codimension1 submanifolds in 4manifolds and stabilizations (with Anubhav Mukherjee and Masaki Taniguchi),
arXiv:2210.05029
 Involutions, knots, and Floer Ktheory (with Jin Miyazawa and Masaki Taniguchi),
arXiv:2110.09258

Journal Articles
 The homology of moduli spaces of 4manifolds may be infinitely generated,
to appear in Forum of Mathematics, Pi
[arXiv:2310.18695]
 Involutions, links, and Floer cohomologies (with Jin Miyazawa and Masaki Taniguchi),
to appear in Journal of Topology
[arXiv:2304.01115]
 A note on generalized ThurstonBennequin inequalities (with Nobuo Iida and Masaki Taniguchi), International Journal of Mathematics 33 (2022), no. 14, Paper No. 2250089, 8 pp.
[arXiv:2207.00229]
 Diffeomorphisms of 4manifolds with boundary and exotic embeddings (with Nobuo Iida, Anubhav Mukherjee, and Masaki Taniguchi),
to appear in Mathematische Annalen
[arXiv:2203.14878]
 Dehn twists and the Nielsen realization problem for spin 4manifolds, Algebraic & Geometric Topology 24 (2024), no. 3, 1739–1753.
[arXiv:2203.11631]
 Positive scalar curvature and homology cobordism invariants (with Masaki Taniguchi), Journal of Topology 16 (2023), no. 2, 679–719.
[arXiv:2104.10860]
 A note on exotic families of 4manifolds (with Tsuyoshi Kato and Nobuhiro Nakamura), Proceedings of the American Mathematical Society 151 (2023), no. 6, 2695–2705.
[arXiv:2101.00367]
 The groups of diffeomorphisms and homeomorphisms of 4manifolds with boundary (with Masaki Taniguchi), Advances in Mathematics 409 (2022), Paper No. 108627, 58 pp. [arXiv:2010.00340]
 Constraints on families of smooth 4manifolds from $\mathrm{Pin}^{}(2)$monopole (with Nobuhiro Nakamura), Algebraic & Geometric Topology 23 (2023), no. 1, 419–438 [arXiv:2003.12517]
 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]
 Rigidity of the mod 2 families SeibergWitten invariants and topology of families of spin 4manifolds (with Tsuyoshi Kato and Nobuhiro Nakamura), Compositio Mathematica 157 (2021), no. 4, 770–808.
[arXiv:1906.02943]
 On the BauerFuruta and SeibergWitten invariants of families of 4manifolds (with David Baraglia), Journal of Topology 15 (2022), no. 2, 505–586.
[arXiv:1903.01649]
 A gluing formula for families SeibergWitten invariants (with David Baraglia), Geometry & Topology 24 (2020), no. 3, 1381–1456. [arXiv:1812.11691]
 Positive scalar curvature and 10/8type inequalities on 4manifolds with periodic ends (with Masaki Taniguchi), Inventiones Mathematicae 222 (2020), no. 3, 833–880.
[arXiv:1809.00528]
 Characteristic classes via 4dimensional gauge theory, Geometry & Topology 25 (2021), no. 2, 711–773. [arXiv:1803.09833]
 Positive scalar curvature and higherdimensional families of SeibergWitten equations,
Journal of Topology 12 (2019), no. 4, 1246–1265. [arXiv:1707.08974]
 A cohomological SeibergWitten invariant emerging from the adjunction inequality,
Journal of Topology 15 (2022), no. 1, 108–167.
[arXiv:1704.05859]
 Bounds on genus and configurations of embedded surfaces in 4manifolds,
Journal of Topology 9 (2016), no. 4, 1130–1152. [arXiv:1507.00139]

Proceedings
 Gauge theory for families (Japanese), Sūgaku, to appear
 Floer Ktheory for knots, Proceeding to Intelligence of Lowdimensional Topology at RIMS Kôkyûroku, No. 2227, 612 (2022)
 A family of the SeibergWitten equations and configurations of embedded surfaces in 4manifolds, Proceeding to Intelligence of Lowdimensional Topology at RIMS Kôkyûroku, No. 2004, 1322 (2016)
Lecture series
 SeibergWitten theory for families, Gauge theory and its application to geometry and lowdimensional topology, University of Regensburg, Lecture Courses, Jul. 2023（1 hour × 4 days）
 SeibergWitten theory and topology, Department of Mathematics, Kyoto University, Mar. and Jun. 2022 (2 hours × 5 days)
 Recent developments in SeibergWitten theory, Yau Mathematical Sciences Center, Tsinghua University [Online], Mar. 2022 (1.5 hours × 3 days)
 SeibergWitten theory for families I, II, 2021 Winter Mini Course  Gauge Theory Virtual, The United States [Online]，Jan. 2021（1 hour × 2 days）
Talks
 Dehn twists on 4manifolds, Topology and Geometry of LowDimensional Manifolds 2024, Nara Women's University, Nov. 2024 (Planned)
 Gaugetheoretic characteristic classes, Topology and Geometry of LowDimensional Manifolds 2024, Nara Women's University, Nov. 2024 (Planned)
 Diffeomorphism group and gauge theory, Colloquium, The University of Tokyo, Oct. 2024 (Planned)
 Diﬀeomorphism groups of 4manifolds are special, Geometry and Topology 2024, Kyushu University, Oct. 2024 (Planned)
 Dehn twists on 4manifolds, Tuesday Seminar on Topology, The University of Tokyo, Oct. 2024
 Diffeomorphism group and gauge theory, MSJ Autumn Meeting 2024 (Award Lecture for the 2024 MSJ Geometry Prize), Osaka University, Sep. 2024
 Infiniteness of 4dimensional diffeomorphism groups, Topologie, Oberwolfach Research Institute for Mathematics, Jul. 2024
 Infiniteness of 4dimensional mapping class groups and characteristic classes, Topology Seminar, Princeton University, Apr. 2024
 Infiniteness of 4dimensional mapping class groups and characteristic classes, Symplectic Geometry, Gauge Theory, and LowDimensional Topology Seminar, Simons Center for Geometry and Physics, Apr. 2024
 Infiniteness of 4dimensional mapping class groups and characteristic classes, Gauge Theory & Low‐dimensional Topology, Royal Palm Hotel, Miami Beach, Apr. 2024
 From families SeibergWitten theory to corks, Differential Topology '24, Online [University of Tsukuba], Mar. 2024
 Infiniteness of 4dimensional mapping class groups and characteristic classes, Topology seminar at the University of Texas at Austin, The University of Texas at Austin, Mar. 2024
 Spaces of positive scalar curvature metrics on 4manifolds, Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, Oberwolfach Research Institute for Mathematics, Feb. 2024
 Families Frøyshov invariant, Brandeis Topology Seminar, Brandeis University, Feb. 2024
 Infiniteness of 4dimensional mapping class groups and characteristic classes, Rutgers Geometry/Topology seminar, Rutgers University, Jan. 2024
 Families Frøyshov invariant, Topology Seminar, Michigan State University, Nov. 2023
 Diffeomorphism groups and gauge theory, RTG Seminar, Michigan State University, Nov. 2023
 Families Froyshov invariant, Columbia Symplectic Geometry and Gauge Theory Seminar, Columbia University, Oct. 2023
 Exotic Dehn twists on 4manifolds, UMass Geometry and Topology Seminar, University of Massachusetts Amherst, Oct. 2023
 Exotic Dehn twists on 4manifolds, AMS Sectional Meeting, Creighton University, Oct. 2023
 Homological instability for moduli spaces of 4manifolds, Mapping class groups: pronilpotent and cohomological approaches, SwissMAP Research Station, Sep. 2023
 Exotic Dehn twists on 4manifolds, Gauge Theory and Topology: in Celebration of Peter Kronheimer's 60th Birthday, University of Oxford, Jul. 2023
 Exotic Dehn twists on 4manifolds, Gauge theory and its application to geometry and lowdimensional topology, University of Regensburg, Jul. 2023
 Exotic Dehn twists on 4manifolds, Topology of 3 and 4dimensional manifolds, Princeton University, Jul. 2023
 SeibergWitten theory and moduli spaces of 4manifolds and metrics, Differentialgeometrie im Grossen, Oberwolfach Research Institute for Mathematics, Jul. 2023
 Homological instability for moduli spaces of 4manifolds, 2023 Georgia Topology Conference, University of Georgia, May 2023
 An exotic diffeomorphism of a contractible 4manifold, Boston Graduate Topology Seminar, Massachusetts Institute of Technology, Apr. 2023
 Homological instability for moduli spaces of 4manifolds, Symplectic Geometry, Gauge Theory, and LowDimensional Topology Seminar, Simons Center for Geometry and Physics, Apr, 2023
 Homological instability for moduli spaces of 4manifolds, Gauge Theory in Kyoto, Kyoto University, Mar. 2023
 Homological instability for moduli spaces of 4manifolds, Conference "Geometric Analysis", University of Regensburg, Mar. 2023
 Homological instability for moduli spaces of 4manifolds, MIT Geometry and Topology Seminar, Massachusetts Institute of Technology, Feb. 2023
 Homological instability for moduli spaces of 4manifolds, Brandeis Topology Seminar, Brandeis University, Jan. 2023
 Homological instability for moduli spaces of 4manifolds, The 7th JapanChina Geometry Conference, Online [Hiroshima University]，Dec. 2022
 Cohomological Invariants in Gauge Theory for Families, Diffeomorphisms and Gauge Theory Seminar, Simons Laufer Mathematical Sciences Institute, Nov. 2022
 Equivariant KTheory, Homotopy Computations and uses in Floer Theory Seminar, Simons Laufer Mathematical Sciences Institute, Oct. 2022
 Homological Instability in Dimension 4, FHT Program Seminar, Simons Laufer Mathematical Sciences Institute, Oct. 2022
 Dehn twists and Nielsen realization in dimension 4, Topological Studies around Riemann Surfaces, Online, Sep. 2022
 SeibergWitten Floer homotopy and its applications, Geometry Symposium (Plenary talk)，Tokyo University of Science, Aug. 2022
 SeibergWitten Floer homotopy, iTHEMS Math Seminar, RIKEN, Jul. 2022
 Gauge theory and the diffeomorphism groups of 4manifolds, Colloquium, Kyoto University, Jun. 2022
 Floer Ktheory for knots, Intelligence of Lowdimensional Topology, Online [Kyoto University], May 2022
 Nielsen realization, knots, and SeibergWitten (Floer) homotopy theory, Tuesday Seminar on Topology, Online [The University of Tokyo], May 2022
 Floer Ktheory for knots, MIT Geometry and Topology Seminar, Online [MIT], Feb. 2022
 Positive scalar curvature and higherdimensional families of SeibergWitten equations, Seminar on SeibergWitten theory, Online [Germany], Feb. 2022
 Floer Ktheory for knots, JapanNetherlands Joint Online Seminar, Online [JapanNetherlands], Feb. 2022
 Floer Ktheory for knots, Topology and Geometry of Lowdimensional Manifolds, Online [JapanEurope], Jan. 2022
 SeibergWitten Floer Ktheory for knots, CGP Seminar, Online [IBSCGP], Jan. 2022
 Floer Ktheory for knots, Stanford Topology Seminar, Online [Stanford University], Jan. 2022
 Involutions, knots, and Floer Ktheory, Kansai Gauge Theory Seminar, Online [Kyoto University], Nov. 2021
 Exotic diffeomorphisms of 4manifolds with boundary, Four Dimensional Topology, Online [Osaka University], Nov. 2021
 Involutions, knots, and Floer Ktheory, Handle friendship seminar, Online, Nov. 2021
 Positive scalar curvature and homology cobordism invariants I, Kansai Gauge Theory Seminar, Online [Kyoto University], Jun. 2021
 Gauge theory and diffeomorphism and homeomorphism groups, MSJ Spring Meeting (Invited talk), Online [Keio University], Mar. 2021
 Taubes' theorem, Differential Topology '21, Online, Feb. 2021
 The groups of diffeomorphisms and homeomorphisms of 4manifolds with boundary, Kansai Gauge Theory Seminar, Online [Kyoto University], Dec. 2020
 The groups of diffeomorphisms and homeomorphisms of 4manifolds with boundary, Four Dimensional Topology, Online [Osaka University], Nov. 2020
 The groups of diffeomorphisms and homeomorphisms of 4manifolds with boundary, International Workshop on 4Manifold Theory and Gauge Theory, Online [JapanKorea], Nov. 2020
 On the diffeomorphism and homeomorphism groups of a K3 surface, JapaneseEuropean Symposium on Symplectic Varieties and Moduli Spaces – Fifth Edition Online, Online [Osaka City University], Sep. 2020
 Gauge theory and the diffeomorphism and homeomorphism groups of 4manifolds, Tuesday Seminar on Topology, Online [The University of Tokyo], Jun. 2020
 Diff vs. Homeo in dimension 4: recent development, Kansai Gauge Theory Seminar, Online [Kyoto University], Apr. 2020
 Gauge theory and the automorphism groups of 4manifolds, Topological invariants of the bulk and edgeofedge states of higher order topological insulators, Osaka University, Feb. 2020
 The diffeomorphism and homeomorphism groups of K3, 4Dimensional Topology and Gauge Theory, ESCALEYOKOHAMA, Jan. 2020
 The diffeomorphism and homeomorphism groups of K3, Special seminar, Keio University, Dec. 2019
 The diffeomorphism and homeomorphism groups of K3, Four Dimensional Topology, Osaka University, Nov. 2019
 Positive scalar curvature and gaugetheoretic constraints on 4manifolds, The first Geometry Conference for Friendship of Japan and Germany, Chuo University, Sep. 2019
 The diffeomorphism and homeomorphism groups of K3, MSJ Autumn Meeting, Kanazawa University, Sep. 2019
 Rigidity of the mod 2 families SeibergWitten invariants, MSJ Autumn Meeting, Kanazawa University, Sep. 2019
 How to use Ktheory in gauge theory, Young mathematicians workshop on algebraic, geometric, and analytic aspects of K theory and vector bundles, University of the Ryukyu, Aug. 2019
 The diffeomorphism and homeomorphism groups of 4manifolds, Floer Homotopy Theory and LowDimensional Topology, University of Oregon, Aug. 2019
 Difference between the diffeomorphism and homeomorphism groups of 4manifolds, Four manifolds: Confluence of high and low dimensions, the Fields Institute, Jul. 2019
 Nonsmoothable bundles and gauge theory for families, Geometry, Topology and Dynamics Seminar, the Okinawa Institute of Science and Technology, May 2019
 Characteristic classes defined using 4dimensional gauge theory, Johnson homomorphisms and related topics 2019, The University of Tokyo, May 2019
 Gauge theory and symmetries of 4dimensional spaces, iTHEMS Math Seminar, RIKEN, Apr. 2019
 The diffeomorphism and homeomorphism groups in dimension 4 and SeibergWitten theory, Chiba University Geometry Seminar, Chiba University, Apr. 2019
 Characteristic classes of 4manifold bundles and gauge theory for families, Special seminar, Keio University, Mar. 2019
 Positive scalar curvature and 10/8type inequalities on 4manifolds with periodic ends, MSJ Spring Meeting, Tokyo Institute of Technology, Mar. 2019
 Gauge theory for families of 4manifolds, Kanto Yong Geometry Seminar, The University of Tokyo, Feb. 2019
 Gluing formula for SeibergWitten invariants for families and group actions, Kansai Gauge Theory Seminar, Kyoto University, Jan. 2019
 Gluing formula for the families SeibergWitten invariant and its applications, Kansai Gauge Theory Seminar, Kyoto University, Dec. 2018
 Gauge theory for families of 4manifolds, SeoulTokyo Conference in Mathematics, Korea Institute for Advanced Study, Dec. 2018
 Gauge theory for families of 4manifolds, East Asian Conference on Gauge Theory and Related Topics, Kyoto University, Sep. 2018
 A family version of the BauerFuruta invariant and the complex of surfaces, Four Dimensional Topology, Osaka City University, Sep. 2018
 Characteristic classes via 4dimensional gauge theory, Geometry Symposium, Tohoku University, Aug. 2018
 Gauge theory for families of 4manifolds, Topology Symposium, Shinshu University, Aug. 2018
 Gauge theory for families of 4manifolds, Gauge Theory and Applications, The University of Regensburg, Jul. 2018
 Characteristic classes via 4dimensional gauge theory, Geometry seminar, Nagoya University, Jun. 2018
 Characteristic classes via 4dimensional gauge theory, Tuesday Seminar on Topology, The University of Tokyo, Jun. 2018
 Family gauge theory and characteristic classes of bundles of 4manifolds, Differential geometry seminar, The University of Adelaide, Mar. 2018
 SeibergWitten theory 101 (seminar series), Intermediate notions seminar, The University of Adelaide, Mar. 2018
 Family gauge theory and characteristic classes of bundles of 4manifolds, Gauge theory in Fukuoka, Kyushu University/Kanpo no Yado Yanagawa, Feb. 2018
 Characteristic classes of bundles of a 4manifold via gauge theory, Four Dimensional Topology, Osaka City University, Nov. 2017
 Families of SeibergWitten equations and positive scalar curvature, Tokyo Tech Geometry seminar, Tokyo Institute of Technology, Nov. 2017
 Complex of embedded surfaces in a 4manifold and family SeibergWitten theory, The East Asian Symplectic Conference, Sichuan University, Oct. 2017
 A cohomological SeibergWitten invariant emerging from the adjunction inequality, UCLA Topology Seminar, University of California, Los Angeles, Oct. 2017
 A cohomological SeibergWitten invariant, Kansai Gauge Theory Seminar, Kyoto University, Sep. 2017
 Positive scalar curvature and SeibergWitten invariants of tuples of diffeomorphisms, MSJ Autumn Meeting, Yamagata University, Sep. 2017
 A cohomological SeibergWitten invariant, Differential Topology Seminar, Kyoto University, Sep. 2017
 Lattice defects from monodromy, Mathematics in Interface, Dislocation and Structure of Crystals, Kyushu University, Aug. 2017
 A cohomological SeibergWitten invariant emerging from the adjunction inequality, Low Dimensional Topology and Gauge Theory, BIRSCMO, Aug. 2017
 A cohomological SeibergWitten invariant, GermanyJapan OneDay Workshop on Geometry and Topology, Waseda University, May 2017
 Cohomological SeibergWitten invariant, Geometry and topology seminar, Keio University, Apr. 2017
 Cohomological SeibergWitten invariant, Geometry seminar, Nagoya University, Mar. 2017
 Genus bound problem and a cohomological SeibergWitten invariant, East Asian Core Doctorial Forum on Mathematics 2017，Seoul National University, Jan. 2017
 Complex of surfaces violating the adjunction inequalities, Four Dimensional Topology, Osaka City University, Nov. 2016
 Gauge theory and embeddings of surfaces into 4manifolds, Mathematics and Physics, Nara Women’s University, Nov. 2016
 Highdimensional wall crossing and gluing in SeibergWitten theory, MSJ Autumn Meeting, Kansai University, Sep. 2016
 Highdimensional wall crossing and gluing in SeibergWitten theory, Geometry Symposium, Okayama Univeristy, Aug. 2016
 A family of the SeibergWitten equations and configurations of embedded surfaces in 4manifolds, Topology/Singular Theory and Applications, Aoyama Gakuin University, Jun. 2016
 A family of the SeibergWitten equations and configurations of embedded surfaces in 4manifolds, Intelligence of Lowdimensional Topology, Kyoto University, May 2016
 An invariant of 4manifolds and the adjunction inequalities, Handle friendship seminar, Tokyo Institute of Technology, Apr. 2016
 SeibergWitten theory and the adjunction inequalities, Differential Topology 16, University of Tsukuba, Mar. 2016
 Bounds on genus and configurations of embedded surfaces in 4manifolds, MSJ Spring Meeting, University of Tsukuba, Mar. 2016
 Bounds on genus and configurations of embedded surfaces in 4manifolds, Kansai Gauge Theory Seminar, Kyoto University, Mar. 2016
 Bounds on genus and configurations of embedded surfaces in 4manifolds, BerkeleyTokyo Winter School "Geometry, Topology and Representation Theory"
University of California, Berkeley
 Bounds on genus and configurations of embedded surfaces in 4manifolds, Four Dimensional Topology, Osaka City University, Nov. 2015
 Bounds on genus and configurations of embedded surfaces in 4manifolds, Geometry Seminar, Tokyo Metropolitan University, Nov. 2015
 Bounds on genus and configurations of embedded surfaces in 4manifolds, Handle friendship seminar, Tokyo Institute of Technology, Sep. 2015
 The generalized Thom conjecture and SeibergWitten wall crossing, Topology Seminar, Gakushuin University, Jul. 2015
 The moduli space of flat SU(2)connections on a surface with boundary: an example, Miniworkshop on symplectic geometry of moduli spaces of connections,
Waseda University, Feb. 2014