Papers
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Preprints
- On four-dimensional Dehn twists and Milnor fibrations (with Jianfeng Lin, Anubhav Mukherjee, and Juan Muñoz-Echániz),
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 4-manifolds (with Abhishek Mallick),
arXiv:2406.11773
- Exotic Dehn twists on 4-manifolds (with Abhishek Mallick and Masaki Taniguchi),
arXiv:2306.08607
- From diffeomorphisms to exotic phenomena in small 4-manifolds (with Abhishek Mallick and Masaki Taniguchi),
arXiv:2304.05997
- Homological instability for moduli spaces of smooth 4-manifolds (with Jianfeng Lin),
arXiv:2211.03043
- Exotic codimension-1 submanifolds in 4-manifolds and stabilizations (with Anubhav Mukherjee and Masaki Taniguchi),
arXiv:2210.05029
- Involutions, knots, and Floer K-theory (with Jin Miyazawa and Masaki Taniguchi),
arXiv:2110.09258
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Journal Articles
- The homology of moduli spaces of 4-manifolds 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 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]
- Diffeomorphisms of 4-manifolds 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 4-manifolds, 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 4-manifolds (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 4-manifolds with boundary (with Masaki Taniguchi), Advances in Mathematics 409 (2022), Paper No. 108627, 58 pp. [arXiv:2010.00340]
- 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]
- 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 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]
- 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]
- A gluing formula for families Seiberg-Witten invariants (with David Baraglia), Geometry & Topology 24 (2020), no. 3, 1381–1456. [arXiv:1812.11691]
- 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]
- Characteristic classes via 4-dimensional gauge theory, Geometry & Topology 25 (2021), no. 2, 711–773. [arXiv:1803.09833]
- Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations,
Journal of Topology 12 (2019), no. 4, 1246–1265. [arXiv:1707.08974]
- A cohomological Seiberg-Witten 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 4-manifolds,
Journal of Topology 9 (2016), no. 4, 1130–1152. [arXiv:1507.00139]
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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
- 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)
- Seiberg-Witten theory and topology, Department of Mathematics, Kyoto University, Mar. and Jun. 2022 (2 hours × 5 days)
- Recent developments in Seiberg-Witten theory, Yau Mathematical Sciences Center, Tsinghua University [Online], Mar. 2022 (1.5 hours × 3 days)
- 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
- Dehn twists on 4-manifolds, Topology and Geometry of Low-Dimensional Manifolds 2024, Nara Women's University, Nov. 2024 (Planned)
- Gauge-theoretic characteristic classes, Topology and Geometry of Low-Dimensional 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 4-manifolds are special, Geometry and Topology 2024, Kyushu University, Oct. 2024 (Planned)
- Dehn twists on 4-manifolds, 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 4-dimensional diffeomorphism groups, Topologie, Oberwolfach Research Institute for Mathematics, Jul. 2024
- Infiniteness of 4-dimensional mapping class groups and characteristic classes, Topology Seminar, Princeton University, Apr. 2024
- 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
- Infiniteness of 4-dimensional mapping class groups and characteristic classes, Gauge Theory & Low‐dimensional Topology, Royal Palm Hotel, Miami Beach, Apr. 2024
- From families Seiberg-Witten theory to corks, Differential Topology '24, Online [University of Tsukuba], Mar. 2024
- 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
- 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
- Families Frøyshov invariant, Brandeis Topology Seminar, Brandeis University, Feb. 2024
- Infiniteness of 4-dimensional 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 4-manifolds, UMass Geometry and Topology Seminar, University of Massachusetts Amherst, Oct. 2023
- Exotic Dehn twists on 4-manifolds, AMS Sectional Meeting, Creighton University, Oct. 2023
- Homological instability for moduli spaces of 4-manifolds, Mapping class groups: pronilpotent and cohomological approaches, SwissMAP Research Station, Sep. 2023
- Exotic Dehn twists on 4-manifolds, Gauge Theory and Topology: in Celebration of Peter Kronheimer's 60th Birthday, University of Oxford, Jul. 2023
- Exotic Dehn twists on 4-manifolds, Gauge theory and its application to geometry and low-dimensional topology, University of Regensburg, Jul. 2023
- Exotic Dehn twists on 4-manifolds, Topology of 3- and 4-dimensional manifolds, Princeton University, Jul. 2023
- Seiberg-Witten theory and moduli spaces of 4-manifolds and metrics, Differentialgeometrie im Grossen, Oberwolfach Research Institute for Mathematics, Jul. 2023
- Homological instability for moduli spaces of 4-manifolds, 2023 Georgia Topology Conference, University of Georgia, May 2023
- An exotic diffeomorphism of a contractible 4-manifold, Boston Graduate Topology Seminar, Massachusetts Institute of Technology, Apr. 2023
- 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
- Homological instability for moduli spaces of 4-manifolds, Gauge Theory in Kyoto, Kyoto University, Mar. 2023
- Homological instability for moduli spaces of 4-manifolds, Conference "Geometric Analysis", University of Regensburg, Mar. 2023
- Homological instability for moduli spaces of 4-manifolds, MIT Geometry and Topology Seminar, Massachusetts Institute of Technology, Feb. 2023
- Homological instability for moduli spaces of 4-manifolds, Brandeis Topology Seminar, Brandeis University, Jan. 2023
- Homological instability for moduli spaces of 4-manifolds, The 7th Japan-China 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 K-Theory, 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
- Seiberg-Witten Floer homotopy and its applications, Geometry Symposium (Plenary talk),Tokyo University of Science, Aug. 2022
- Seiberg-Witten Floer homotopy, iTHEMS Math Seminar, RIKEN, Jul. 2022
- Gauge theory and the diffeomorphism groups of 4-manifolds, Colloquium, Kyoto University, Jun. 2022
- Floer K-theory for knots, Intelligence of Low-dimensional Topology, Online [Kyoto University], May 2022
- Nielsen realization, knots, and Seiberg-Witten (Floer) homotopy theory, Tuesday Seminar on Topology, Online [The University of Tokyo], May 2022
- Floer K-theory for knots, MIT Geometry and Topology Seminar, Online [MIT], Feb. 2022
- Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations, Seminar on Seiberg-Witten theory, Online [Germany], Feb. 2022
- Floer K-theory for knots, Japan-Netherlands Joint Online Seminar, Online [Japan-Netherlands], Feb. 2022
- Floer K-theory for knots, Topology and Geometry of Low-dimensional Manifolds, Online [Japan-Europe], Jan. 2022
- Seiberg-Witten Floer K-theory for knots, CGP Seminar, Online [IBS-CGP], Jan. 2022
- Floer K-theory for knots, Stanford Topology Seminar, Online [Stanford University], Jan. 2022
- Involutions, knots, and Floer K-theory, Kansai Gauge Theory Seminar, Online [Kyoto University], Nov. 2021
- Exotic diffeomorphisms of 4-manifolds with boundary, Four Dimensional Topology, Online [Osaka University], Nov. 2021
- Involutions, knots, and Floer K-theory, 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 4-manifolds with boundary, Kansai Gauge Theory Seminar, Online [Kyoto University], Dec. 2020
- The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary, Four Dimensional Topology, Online [Osaka University], Nov. 2020
- 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
- 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
- Gauge theory and the diffeomorphism and homeomorphism groups of 4-manifolds, 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 4-manifolds, Topological invariants of the bulk and edge-of-edge states of higher order topological insulators, Osaka University, Feb. 2020
- The diffeomorphism and homeomorphism groups of K3, 4-Dimensional Topology and Gauge Theory, ESCALE-YOKOHAMA, 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 gauge-theoretic constraints on 4-manifolds, 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 Seiberg-Witten invariants, MSJ Autumn Meeting, Kanazawa University, Sep. 2019
- 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
- The diffeomorphism and homeomorphism groups of 4-manifolds, Floer Homotopy Theory and Low-Dimensional Topology, University of Oregon, Aug. 2019
- Difference between the diffeomorphism and homeomorphism groups of 4-manifolds, Four manifolds: Confluence of high and low dimensions, the Fields Institute, Jul. 2019
- Non-smoothable bundles and gauge theory for families, Geometry, Topology and Dynamics Seminar, the Okinawa Institute of Science and Technology, May 2019
- Characteristic classes defined using 4-dimensional gauge theory, Johnson homomorphisms and related topics 2019, The University of Tokyo, May 2019
- Gauge theory and symmetries of 4-dimensional spaces, iTHEMS Math Seminar, RIKEN, Apr. 2019
- The diffeomorphism and homeomorphism groups in dimension 4 and Seiberg-Witten theory, Chiba University Geometry Seminar, Chiba University, Apr. 2019
- Characteristic classes of 4-manifold bundles and gauge theory for families, Special seminar, Keio University, Mar. 2019
- Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends, MSJ Spring Meeting, Tokyo Institute of Technology, Mar. 2019
- Gauge theory for families of 4-manifolds, Kanto Yong Geometry Seminar, The University of Tokyo, Feb. 2019
- Gluing formula for Seiberg-Witten invariants for families and group actions, Kansai Gauge Theory Seminar, Kyoto University, Jan. 2019
- Gluing formula for the families Seiberg-Witten invariant and its applications, Kansai Gauge Theory Seminar, Kyoto University, Dec. 2018
- Gauge theory for families of 4-manifolds, Seoul-Tokyo Conference in Mathematics, Korea Institute for Advanced Study, Dec. 2018
- Gauge theory for families of 4-manifolds, East Asian Conference on Gauge Theory and Related Topics, Kyoto University, Sep. 2018
- A family version of the Bauer-Furuta invariant and the complex of surfaces, Four Dimensional Topology, Osaka City University, Sep. 2018
- Characteristic classes via 4-dimensional gauge theory, Geometry Symposium, Tohoku University, Aug. 2018
- Gauge theory for families of 4-manifolds, Topology Symposium, Shinshu University, Aug. 2018
- Gauge theory for families of 4-manifolds, Gauge Theory and Applications, The University of Regensburg, Jul. 2018
- Characteristic classes via 4-dimensional gauge theory, Geometry seminar, Nagoya University, Jun. 2018
- Characteristic classes via 4-dimensional gauge theory, Tuesday Seminar on Topology, The University of Tokyo, Jun. 2018
- Family gauge theory and characteristic classes of bundles of 4-manifolds, Differential geometry seminar, The University of Adelaide, Mar. 2018
- Seiberg-Witten theory 101 (seminar series), Intermediate notions seminar, The University of Adelaide, Mar. 2018
- Family gauge theory and characteristic classes of bundles of 4-manifolds, Gauge theory in Fukuoka, Kyushu University/Kanpo no Yado Yanagawa, Feb. 2018
- Characteristic classes of bundles of a 4-manifold via gauge theory, Four Dimensional Topology, Osaka City University, Nov. 2017
- Families of Seiberg-Witten equations and positive scalar curvature, Tokyo Tech Geometry seminar, Tokyo Institute of Technology, Nov. 2017
- Complex of embedded surfaces in a 4-manifold and family Seiberg-Witten theory, The East Asian Symplectic Conference, Sichuan University, Oct. 2017
- A cohomological Seiberg-Witten invariant emerging from the adjunction inequality, UCLA Topology Seminar, University of California, Los Angeles, Oct. 2017
- A cohomological Seiberg-Witten invariant, Kansai Gauge Theory Seminar, Kyoto University, Sep. 2017
- Positive scalar curvature and Seiberg-Witten invariants of tuples of diffeomorphisms, MSJ Autumn Meeting, Yamagata University, Sep. 2017
- A cohomological Seiberg-Witten 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 Seiberg-Witten invariant emerging from the adjunction inequality, Low Dimensional Topology and Gauge Theory, BIRS-CMO, Aug. 2017
- A cohomological Seiberg-Witten invariant, Germany-Japan One-Day Workshop on Geometry and Topology, Waseda University, May 2017
- Cohomological Seiberg-Witten invariant, Geometry and topology seminar, Keio University, Apr. 2017
- Cohomological Seiberg-Witten invariant, Geometry seminar, Nagoya University, Mar. 2017
- Genus bound problem and a cohomological Seiberg-Witten 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 4-manifolds, Mathematics and Physics, Nara Women’s University, Nov. 2016
- High-dimensional wall crossing and gluing in Seiberg-Witten theory, MSJ Autumn Meeting, Kansai University, Sep. 2016
- High-dimensional wall crossing and gluing in Seiberg-Witten theory, Geometry Symposium, Okayama Univeristy, Aug. 2016
- 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
- A family of the Seiberg-Witten equations and configurations of embedded surfaces in 4-manifolds, Intelligence of Low-dimensional Topology, Kyoto University, May 2016
- An invariant of 4-manifolds and the adjunction inequalities, Handle friendship seminar, Tokyo Institute of Technology, Apr. 2016
- Seiberg-Witten theory and the adjunction inequalities, Differential Topology 16, University of Tsukuba, Mar. 2016
- Bounds on genus and configurations of embedded surfaces in 4-manifolds, MSJ Spring Meeting, University of Tsukuba, Mar. 2016
- Bounds on genus and configurations of embedded surfaces in 4-manifolds, Kansai Gauge Theory Seminar, Kyoto University, Mar. 2016
- Bounds on genus and configurations of embedded surfaces in 4-manifolds, Berkeley-Tokyo Winter School "Geometry, Topology and Representation Theory"
University of California, Berkeley
- Bounds on genus and configurations of embedded surfaces in 4-manifolds, Four Dimensional Topology, Osaka City University, Nov. 2015
- Bounds on genus and configurations of embedded surfaces in 4-manifolds, Geometry Seminar, Tokyo Metropolitan University, Nov. 2015
- Bounds on genus and configurations of embedded surfaces in 4-manifolds, Handle friendship seminar, Tokyo Institute of Technology, Sep. 2015
- The generalized Thom conjecture and Seiberg-Witten wall crossing, Topology Seminar, Gakushuin University, Jul. 2015
- 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