Published Papers

• Involutions, links, and Floer cohomologies, joint work with Hokuto Konno and Jin Miyazawa, [arXiv], to appear in Journal of Topology

• Filtered instanton Floer homology and the homology cobordism group, joint work with Yuta Nozaki and Kouki Sato, J.Eur. Math. Soc, (2023), [article link], [arXiv], (Ph.D. thesis).

• Positive scalar curvature and homology cobordism invariants, joint work with Hokuto Konno, Journal of Topology, Vol. 16, 2, 679-719(2023), [article link], [arXiv]. 

• A note on generalized Thurston-Bennequin inequalities, joint work with Nobuo Iida and Hokuto Konno, International Journal of Mathematics, Vol. 33, No. 14, 2250089 (2022), [article link], [arXiv]

• The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary, joint work with Hokuto Konno, Advances in Mathematics, 409 (2022), [article link], [arXiv]

• Seifert hypersurfaces of 2-knots and Chern-Simons functional, Quantum Topology, Vol. 13, 2, 335–405 (2022), [article link], [arXiv], (Ph.D. thesis).

• Seiberg-Witten Floer homotopy contact invariant, joint work with Nobuo Iida, Combinatorics, Geometry and Topology, 58, 505-558 (2021), [article link],  [arXiv].

• Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends, joint work with Hokuto Konno, Invent. math. 222, 833–880 (2020), [article link], [arXiv], (Ph.D. thesis).

• Rational homology 3-spheres and simply connected definite bounding, joint work with Kouki Sato, Algebraic & Geometric Topology 20-2, 865-882 (2020), [article link], [arXiv], (Ph.D. thesis). 

• Instantons for 4-manifolds with periodic ends and an obstruction to embeddings of 3-manifolds, Topology Appl. 243, 1-32 (2018), [article link], [arXiv], (master thesis). 

Preprints 

• An adjunction inequality for the Bauer-Furuta type invariants, with applications to sliceness and 4-manifold topology, joint work with Nobuo Iida and Anubhav Mukherjee, [arXiv], preprint, submitted.

• Involutions, knots, and Floer K-theory, joint work with Hokuto Konno and Jin Miyazawa, [arXiv], preprint, submitted.

• Diffeomorphisms of 4-manifolds with boundary and exotic embeddings, joint work with Nobuo Iida, Hokuto Konno, and  Anubhav Mukherjee, [arXiv], preprint, submitted. 

• Instantons, special cycles, and knot concordance, joint work with Aliakbar Daemi, Hayato Imori, Kouki Sato, and Christopher Scaduto, [arXiv], preprint, submitted. 

• Exotic codimension-1 submanifolds in 4-manifolds and stabilization, joint work with  Hokuto Konno and Anubhav Mukherjee, [arXiv], preprint, submitted. 

• From diffeomorphisms to exotic phenomena in small 4-manifolds, joint work with Hokuto Konno and Abhishek Mallick, [arXiv], preprint, submitted. 

• Exotic Dehn twists on 4-manifolds, joint work with Hokuto Konno and Abhishek Mallick, [arXiv], preprint, submitted

• Involutions and the Chern-Simons filtration in instanton Floer homology, joint work with Antonio Alfieri, Irving Dai, and Abhishek Mallick,[arXiv], preprint, submitted

• Monopoles and transverse knots, joint work with Nobuo Iida, [arXiv], submitted

• Cables of the figure-eight knot via real Frøyshov invariants, joint work with Sungkyung Kang and JungHwan Park, [arXiv]

Proceedings

• Rasmussen type invariant from equivariant instanton Floer homology, Kouki Sato and Hayato Imori, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku No.2227, 62-75,(2022), [article link]

• Seiberg-Witten Floer homotopy and contact structures, with Nobuo Iida, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku No.2191, 97-106, (2021), [article link]

• Instanton Floer theory and the homology cobordism group, with Yuta Nozaki and Kouki Sato, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku No.2129, 97-106, (2019), [article link].

• Instanton moduli spaces on 4-manifolds with periodic end and an obstruction of embeddings, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku, No. 2052, 42-47 (2017), [article link]. 

Master and Ph.D. thesis

• Gauge theory and its applications to 3 and 4-dimensional topology, Ph.D. thesis, in English, (2020), 129 pages

• Instantons for 4-manifolds with periodic ends and an obstruction to embeddings of 3-manifolds, 周期的多様体上のインスタントンと3次元多様体の埋め込みの障害について, master thesis, in Japanese, (2017), 57 pages

• Comments on my papers written in Japanese

• Research Gate

Collaborators:

Antonio Alfieri (Geometry and Topology lab CIRGET.), Aliakbar Daemi (Washinton University), Irving Dai(The University of Texas at Austin), Nobuo Iida (Tokyo Institute of Technology), Hayato Imori (Kyoto University), Eiji Inoue (RIKEN), Sungkyung Kang(University of Oxford), Hokuto Konno (University of Tokyo), Yuta Nozaki (Yokohama National University), Abhishek Mallick (Rutgers University), Jin Miyazawa (University of Tokyo), Anubhav Mukherjee (Princeton University), JungHwan Park(KAIST), Kouki Sato (Meijo University), Christopher Scaduto (Miami University)