My research interests are in Geometric Analysis of Riemannian manifolds, CR manifolds, graphs, fractal sets, and its applications to the real world problems. This includes Liouville property, L^2 cohomology groups, the self adjointness of Laplacians, the conservativeness and recurrence of processes, the convergences of energy and processes, and the homogenization theory. My research direction is investigation of PDEs in connection with the geometry of the underlying space.
Publications and preprints

X.P. Huang, M. Keller, J. Masamune, R.K. Wojciechowski, A note on selfadjoint extensions of the Laplacian on weighted graphs, preprint, 2012, 16 pages (PDF@arXiv).
 A. Grigor'yan, J. Masamune, Parabolicity and Stochastic completeness of manifolds in terms of Green formula, to appaer in Journal de MatheLmatiques Pures et AppliqueLes, 29 pages (PDF).
 J. Masamune, T. Uemura, J. Wang, On the conservativeness and recurrence of symmetric jumpdiffusions, J. Funct. Anal., 263 (2012), no. 12, 39844008 (PDF).
 A. Grigor'yan, X.P. Huang, J. Masamune, On stochastic completeness of jump processes, Math Z. 271 (2012), no. 34, 12111239 DOI: 10.1007/s002090110911x. 29 pages, (PDF).
 J. Masamune, On a stability of essential spectra of Laplacians under noncompact change of metric,
Proc. Amer. Math. Soc. 140 (2012), 10451052.
DOI: 10.1090/S000299392011109651, (PDF).
 J. Masamune, T. Uemura, L^p Liouville property of nonlocal operators, Math. Nachr. 284 (2011), no. 1718, 22492267, DOI: 10.1002/mana.200910211 (PDF).
 J. Masamune, The Mosco convergence and the weak convergence of Wiener measures for conductive thin boundaries, J. Math. Anal. Appl. 384 (2011), no. 2, 504526. DOI: 10.1016/j.jmaa.2011.06.004.
 J. Masamune, T. Uemura, Conservation property of symmetric jump processes, Ann. Inst. Henri Poincare Probab. Stat, 47 (2011) no. 3, 650662 DOI: 10.1214/09AIHP368, (PDF).
 J. Masamune, A Liouville property and its application to the Laplacian of an infinite graph. Spectral analysis in geometry and number theory, 103115, Papers from the International Conference on the occasion of Toshikazu Sunada's 60th birthday held at Nagoya University, Nagoya, August 610, 2007. Edited by Motoko Kotani, et al Contemp. Math., 484, Amer. Math. Soc., Providence, RI, 2009, (PDF).
 M. Itoh, J. Masamune, T. Saotome, The Serre duality theorem for a noncompact weighted CR manifold, Proc. Amer. Math. Soc. 136 (2008), no. 10, 35393548, (PDF).
 J. Masamune, Vanishing and conservativeness of harmonic forms of a noncompact CR manifold, Atti. Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008), no. 2, 79102.
 J. Masamune, M.R. Lancia, The Liouville property of unbounded fractal layers, Complex Var. Elliptic Equ. 53 (2008), no. 4, 297306.
 J. Masamune, Conservative principle for differential forms, Atti. Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007), 351358.
 J. Masamune, Essential selfadjointness of a sublaplacian via heat equation, Comm. in Partial Differential Equations, 30 (2005), no.11, 15951609.
 J. Masamune, Analysis of the Laplacian of an incomplete manifold with almost polar boundary, Rend. Mat. Appl. 25 (2005), no.1, 109126.
 S. Dragomir, J. Masamune, CauchyRiemann orbifolds, Tsukuba J. Math. 26 (2002), no.2, 351386.
 J. Masamune, W. Rossman, Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds, Minimal surfaces, geometric analysis and symplectic geometry (Baltimore, MD, 1999), Edited by K. Fukaya, et al. 219229, Adv. Stud. Pure Math. 34, Math. Soc. Japan, Tokyo, 2002, (PDF).
 J. Masamune, Essential selfadjointness of Laplacians on Riemannian manifolds with fractal boundary, Comm. in Partial Differential Equations, 24 (1999), no.34, 749757.
Other publications
 J. Masamune, Professional Science Master's, an innovative new graduate degree in the United States (in Japanese), Sugaku Tushin, 16 (2011) no. 2, 2230, (PDF). Related information to this article can be found at
 J. Masamune, Hiring and research funding systems of Italian Mathematical Society (in Japanese), Sugaku Tushin, 10 (2005) no 3, 5861, (PDF).
 J. Masamune, Selfadjointness of Laplacians and conservativeness of the Brownian motion on a Riemannian manifold with fractal boundary. Ph.D. Thesis, Tohoku University, Sendai Japan 1999.

Invited talks, presentations, and professional meetings (since 2005)
2013
2012
 University of Jena, Germany
 PSU, University Park
 CUNY Graduate Center
 Cornell University
2011
 PSU, Altoona and UP
 CUNY Graduate Center
 WPI
 University of Bielefeld, Germany May  June
 University of Jena, Germany
 TD Dresden, Germany.
2010
 International workshop Operators on Singular spaces, March, Potsdam Germany.
 Rome University ``La Sapienza'' MeMoMat, March, Rome Italy.
 Rome University ``La Sapienza'' Italy, MayJuly, Germany.
 University of Bielefeld, May  July, Germany.
 Fourth international conference on stochastic analysis and its application, September.
 Lecture series, Kyoto University (GCOE), Thanksgiving break.
2009
 Mathematics Colloquium Talk, Penn State Altoona, Nov, PA USA.
 Workshop Differential Equations on Manifolds, Oct, Toyama, Japan.
 AMS 2009 Fall Eastern Meeting Pennsylvania State University Microlocal Analysis and Spectral Theory on Singular Spaces, Oct, PA USA.
 Kyoto University, Aug, Kyoto Japan.
 AMS 2009 Spring Eastern Meeting MA Special Session on Scaling, Irregularities, and Partial Differential Equations, March, MA USA.
 International workshop Partial Differential Equations and Applications in Geometry, March, Konstanz Germany.
 Workshop Riemannian Geometry and Geometric Analysis, Jan, Tsukuba Japan.
 International workshop Computer Algebra, Jan, Kobe Japan.
 Colloquium Talk, Penn State Altoona, Jan, PA USA.
2008 AMS national meeting San Diego, Jan, CA USA.
2007
2006
 Kyoto, RIMS
 Tohoku University
 Tokyo Institute University
 Hokkaido University
 Kyushu University
 Tsukuba University
 Okayama University
 Chuo University, etc Japan.
2005 Lectures series Riemannian approach to fractals, the University of Rome "La Sapienza".


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Email: jum35 "at" psu.edu 
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