Papers 

2026 " Rokhlin inclusions with integer  and non-integer index", with Hiroyuki Osaka and Tamotsu Teruya, Mathematicae  Scandinavica, 21pages   

           " A recursive kinematic reduction framework for precision multi-axial pipe bending in smart shipbuilding", with Sang Gi Park, The International Journal. of Advanced Manufacturing Technology,  20 pages

2025 " On permanence of regularity properties" with Hiroyuki Osaka, Journal of Topology and Analysis, 20pages 

2024 "Duality of actions", Journal of Mathmatical Analysis and Appplications, 19pages 

2021 ''Tracially sequentially split *-homomorphisms between C*-algebras'' with Hiroyuki Osaka,  Annals  of Functional Analysis, 27pages  

2020 ''Fourier transform and  sigma model solitons on noncommutative tori'', Banach Journal of Mathematical Analysis, 23pages  

2019 ''Duality of actions and inclusions'' with Hiroyuki Osaka, Journal of Functional Analysis, 34pages 

2018 '' On a gauge action on sigma model solitons",  Infinite Dimensional Analysis, Quantum Probability, and Related Topics, 15pages   

            '' Homotopy classification of homogeneous projections in the corona algebra of C(X,B) for a graph X'', Journal Mathematical Anlysis and Applications, 12pages

2016  '' A note on nonlinear sigma models in noncommutative geometry'',  Infinite Dimensional Analysis, Quantum Probability, and Related Topics, 15pages   

            ''Projection lifting from the corona algebra using the UCT'' Journal of Mathematical Analysis and Applications, 8pages

2014 ''Yang-Mills theory on quantum Heisenberg manifolds'' Conference proceeding of Thematic Program of Noncommutative geometry and Physics at RIMS, Kyoto, Japan 2010  

2013 '' Laplacian on a quantum Heisenberg manifold'', Communications of Korean Mathematical Society , 10pages 

             '' Deformation of a projection in the multiplier algebra and projection lifting from the corona algebra of a nonsimple C*-algebra'', Journal of Functional Analysis, 16pages 

 2012 ''On the moduli space of a quantum Heisenberg manifold'' Journal of Functional Analysis, 20pages  

              " Homotopy classification of projections in the corona algebra of a nonsimple C*-algebra'' with Lawrence G. Brown, Canadian Journal of Mathematics, 26pages 

             '' Some remarks on extremally rich C*-algebras'' Rocky Mountain J. Math. 6pages 

2011 '' Proper asymptotic unitary equivalence in KK-theory and projection lifting from the corona algebra'' Journal of Functional Analysis, 11pages