Masao Ishikawa

J-GLOBAL         Last updated: Nov 23, 2018 at 08:45
 
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Name
Masao Ishikawa
URL
http://www.uec.tottori-u.ac.jp/~mi/
Affiliation
Okayama University
Section
Faculty of Education Training Coruse for School Teachers
Job title
Professor

Research Areas

 
 
  • Mathematics / Algebra / Algebraic Combinatorics
  • Mathematics / Algebra / Representation Theory

Academic & Professional Experience

 
May 1992
 - 
Mar 1995
Assistant professor, College of Liberal Arts, Tottori University
 
Apr 1995
 - 
Sep 1995
Assistant Professor, Faculty of Education, Tottori University
 
Oct 1995
 - 
Mar 1999
Associate Professor, Faculty of Education, Tottori University
 
Apr 1999
 - 
Mar 2003
Associate Professor, Faculty of Education and Regional Sciences, Tottori University
 
Apr 2004
 - 
Mar 2007
Associate Professor, University Education Center, Tottori University
 
Apr 2007
 - 
Mar 2008
Associate Professor, University Education Center, Tottori University
 
Apr 2008
 - 
Mar 2010
Associate Professor, Education Center, Tottori University
 
Apr 2010
 - 
Mar 2011
Associate Professor, Education Center, Tottori University
 
Apr 2011
 - 
Mar 2015
Professor, Faculty of Education, University of the Ryukyus
 
Apr 2015
 - 
Today
Professsor, Graduate School of Natural Science and Technology, Okayama University
 

Education

 
Apr 1986
 - 
Mar 1988
Mathematics, Graduate School (Master Course), University of Tokyo
 
Apr 1988
 - 
Mar 1992
Mathematics, Graduate School (Doctor Course), University of Tokyo
 

Awards & Honors

 
1992
Inoue Research Award for Young Scientists
 

Published Papers

 
Determinant Structure for τ -Function of Holonomic Deformation of Linear Differential Equations
Masao Ishikawa, Toshiyuki Mano and Teruhisa Tsuda
Communications in Mathematical Physics   363(3) 1081-1101   Sep 2018   [Refereed]
A binomial-coefficient identity arising from the middle discrete series of SU(2,2)
Takahiro Hayata and Masao Ishikawa
Mathematical Journal of Okayama University   60 221-231   Jan 2018   [Refereed]
Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa and Jiang Zeng
Proceedings of the American Mathematical Society   143 2003-2015   2015   [Refereed]
Selberg integrals and Catalan-Pfaffian Hankel determinants
Masao Ishikawa and Jiang Zeng
Proceedings of the 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'14), (Discrete Math. Theor. Comput. Sci. Proc., AT)   549-560   Jul 2014   [Refereed]
Identities for determinants and Pfaffians, and their applications
Masao Ishikawa and Soichi Okada
Sugaku Expositions   27 85-116   2014   [Refereed]
A generalization of Mehta-Wang determinant and Askey-Wilson polynomials
Masao Ishikawa, Hiroyuki Tagawa and Jiang Zeng
Proceedings of the 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'13),(Discrete Math. Theor. Comput. Sci. Proc., AS)   719-730   2013   [Refereed]
Masao Ishikawa, Hiroyuki Tagawa and Jiang Zeng
Journal of Combinatorial Theory, Series A   120 1263-1284   2013   [Refereed]
Masao Ishikawa, Masahiko Ito and Soichi Okada
Advances in Applied Mathematics   51 635-654   2013   [Refereed]
Masao Ishikawa and Christoph Koutschan
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation   227-233   Jun 2012   [Refereed]
Identities for determinants and Pfaffians, and their applications
Masao Ishikawa and Soichi Okada
Sugaku   62 85-114   2010   [Refereed]
A q-analogue of Catalan Hankel determinants
Masao Ishikawa, Hiroyuki Tagawa and Jiang Zeng
RIMS Kokyuroku Bessatsu   B11 19-41   Apr 2009   [Refereed]
Masao Ishikawa and Jiang Zeng
Discrete Mathematics   309 151-175   2009   [Refereed]
Euler-Mahonian Statistics on Ordered Partitions and Steingrimsson's cojecture --- A survey
Masao Ishikawa, Anisse Kasraoui and Jiang Zeng
RIMS Kokyuroku Bessatsu   B8 99-114   May 2008   [Refereed]
Masao Ishikawa, Anisse Kasraoui and Jiang Zeng
SIAM Journal on Discrete Mathematics   22 1105-1137   2008   [Refereed]
Masao Ishikawa
The Ramanujan Journal   16 211-234   2008   [Refereed]
Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Constant Term Identities
Masao Ishikawa
Proceedings of the 19th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'07)      Jun 2007   [Refereed]
Schur Function Identities and Hook Length Posets
Masao Ishikawa and Hiroyuki Tagawa
Proceedings of the 19th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'07)      Jun 2007   [Refereed]
The Partition Function of Andrews and Stanley and Al-Salam-Chihara Polynomials
Masao Ishikawa and Jiang Zeng
Proceedings of the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'06)      Jun 2006   [Refereed]
Masao Ishikawa and Masato Wakayama
Journal of Combinatorial Theory, Series A   113 113-155   2006   [Refereed]
Masao Ishikawa, Soichi Okada, Hiroyuki Tagawa and Jiang Zeng
Advances in Applied Mathematics   36 251-287   2006   [Refereed]
Masao Ishikawa, Frederic Jouhet and Jiang Zeng
Journal of Algebraic Combinatorics   23 395-412   2006   [Refereed]
Computing generating functions of ordered partitions with the transfer-matrix method
Masao Ishikawa, Anisse Kasraoui and Jiang Zeng
Discrete Math. Theor. Comput. Sci. Proc.( Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities)   193-202   2006   [Refereed]
A Proof of Stanley's Open Problem
Masao Ishikawa
Proceedings of the 17th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'05)   219-230   Jun 2005   [Refereed]
Generalizations of Cauchy's Determinant and Schur's Pfaffian
Masao Ishikawa, Soichi Okada, Hiroyuki Tagawa and Jiang Zeng
Proceedings of the 17th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'05)   231-242   Jun 2005   [Refereed]
A Pfaffian-Hafnian analogue of Borchardt's identity
Masao Ishikawa, Hiroyuki Kawamuko, Soichi Okada
The Electronic Journal of Combinatorics   12 N9   2005   [Refereed]
A characterization of the simply-Laced FC-finite Coxeter groups
Manabu Hagiwara, Masao Ishikawa and Hiroyuki Tagawa
Annals of Combinatorics   8 177-196   2004   [Refereed]
Minor summation formulas of Pfaffians, survey and a new identity
Masao Ishikawa and Masato Wakayama
Advanced Studies in Pure Mathematics   28 133-142   2000   [Refereed]
Applications of Minor-Summation Formula II, Pfaffians and Schur Polynomials
Masao Ishikawa
Journal of Combinatorial Theory, Series A   88 136-157   1999   [Refereed]
New Schur Function Series, Some generating functions of Schur polynomials
Masao Ishikawa and Masato Wakayama
Journal of Algebra   208 480-525   1998   [Refereed]
Masao Ishikawa, Soichi Okada and Masato Wakayama
Journal of Algebra   183 193-216   1996   [Refereed]
Minor summation formula of pfaffians and Schur functions identities
Masao Ishikawa
Proceedings of the 7th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'95)   379-386   Jun 1995   [Refereed]
Minor Summation of Pfaffians and Schur Function Identities
Masao Ishikawa and Masato Wakayama
Proceedings of the Japan Academy, Ser. A, Mathematical Sciences   71 54-57   1995   [Refereed]
Minor summation formula of Pfaffians
Masao Ishikawa and Masato Wakayama
Linear and Multilinear Algebra   39 285-305   1995   [Refereed]

Misc

 
Domino tilings of Aztec rectangles with connected holes
Masao Ishikawa, Fumihiko Nakana, Taizo Sadahiro and Hiroyuki Tagawa
RIMS Kôkyûroku   1992 114-125   Apr 2016
An extension of Wilson's Gram determinants
Masao Ishikawa and Hiroyuki Tagawa
RIMS Kôkyûroku   1945 38-53   Apr 2015
Leaf posets and multivariate hook length property
Ishikawa Masao
RIMS Kôkyûroku   1913 67-80   Aug 2014
(q,t)-hook formula for Birds
Ishikawa Masao
RIMS Kôkyûroku   1913 47-66   Aug 2014
Hankel Pfaffians and Selberg Integrals
Ishikawa Masao
RIMS Kôkyûroku   1825 103-119   Feb 2013
A Pfaffian analogue of the Hankel determinants and the Selberg integrals
Masao Ishikawa and Jiang Zeng
RIMS Kôkyûroku   1795 189-203   May 2012
A generalization of the Mehta-Wang determinant and the Askey-Wilson polynomials
Masao Ishikawa and Hiroyuki Tagawa
RIMS Kôkyûroku   1795 204-223   May 2012
A Pfaffian analogue of q-Catalan Hankel determinants and its application
Masao Ishikawa and Hiroyuki Tagawa
RIMS Kôkyûroku   1738 102-119   Nov 2011
Determinants and Pfaffians associated with d-complete posets
Masao Ishikawa and Hiroyuki Tagawa
RIMS Kôkyûroku   1262 101-136   May 2002
Pfaffians, Determinants, Young diagrams and hook formulas
Ishikawa Masao
63-80   2000
A Combinatorial Proof of Hook Length Property of the d-Complete Posets
Masao Ishikawa and Hiroyuki Tagawa
123-133   1999
Minor summation formula and applications, discrete Fourier transforms
Masao Ishikawa and Masato Wakayama
RIMS Kôkyûroku   933 85-104   Dec 1995
Remarks on Totally Symmetric Self-Complementary Plane Partitions
Masao Ishikawa
The Journal of the Faculty of Education, Tottori University. Natural science   44(1) 65-89   Jun 1995
Mixed Robinson-Shensted correspondence, Fomin version, and mixed Kunth correspondence for (A,B)-partially strict tableaux
Masao Ishikawa
The Journal of the Faculty of Education, Tottori University. Natural science   44 17-64   Jun 1995
Minor summation formula of Pfaffians and Schur function identities
Masao Ishikawa
The journal of the Faculty of General Education   28 107-123   Jun 1994
A Mixed Knuth Correspondence for (A,B)-Partially Strict Tableaux
Ishikawa Masao
RIMS Kôkyûroku   794 61-72   Jun 1992
On the number of self-complementary plane partitions
Ishikawa Masao
RIMS Kôkyûroku   670 197-232   Sep 1988

Conference Activities & Talks

 
Masao Ishikawa
Aspects of Combinatorial Representation Theory   11 Oct 2018   Daisuke Sagaki (Tsukuba University)
Masao Ishikawa
Algebraic and Enumerative Combinatorics in Okayama   23 Feb 2018   Masao Ishikawa
Masao Ishikawa
S´eminaire de Combinatoire et Th´eorie des Nombres   26 Sep 2017   Philippe Nadeau
Masao Ishikawa
RIMS Workshop "Combinatorial Representation Theory and Related Topics"   21 Oct 2015   Katsuyuki Naoi (Tokyo University of Agriculture and Technology)
Masao Ishikawa
NIMS 2015 Combinatorics Workshop   16 Jul 2015   
Masao Ishikawa
NIMS Seminar   3 Jul 2015   
Masao Ishikawa
RIMS workshop Representation theory and related combinatorics   31 Oct 2014   Yasuhide Numata (Shinshu University)
Masao Ishikawa
Le Seminaire de Theorie des Nombres et Combinatoire   17 Sep 2014   Philippe Nadeau
Masao Ishikawa
The 73rd Seminaire Lotharingien de Combinatoir   10 Sep 2014   Christian Krattenthaler
Masao Ishikawa
The 19th International Linear Algebra Society Conference, “Solidaity in Linear Algebra”   8 Aug 2014   
Masao Ishikawa
Bethe Ansatz, Quantum Groups and Beyond   9 Mar 2013   
Masao Ishikawa
Algebraic Combinatorics related to Young diagram and statistical physics   10 Aug 2012   Masao Ishikawa
Masao Ishikawa
Seminar on analysis of combinatorial structures and its applications for information theory   9 Aug 2011   Manabu Hagiwara
Masao Ishikawa
Combinatorial Representation Theory and its Applications   21 Oct 2010   Sho Matsumoto (Nagoya University)
Masao Ishikawa
Seminar on analysis of combinatorial structures and its applications for information theory   7 Aug 2010   Manabu Hagiwara
Masao Ishikawa
64th Séminaire Lotharingien de Combinatoire   30 Mar 2010   
Masao Ishikawa
Combinatorics Summer School 2009 (COS 2009)   2 Sep 2009   Yasuhide Numata
Masao Ishikawa
Expansion of Combinatorial Representation Theory   9 Oct 2008   Hyohe Miyachi (Nagoya University)
Masao Ishikawa
Combinatorics Summer School 2008 (COS 2008)   8 Sep 2008   Manabu Hagiwara
Masao Ishikawa
Combinatorics and Representation Theory   4 Sep 2008   
Masao Ishikawa
Combinatorics and Statistical Physics   27 May 2008   Mireille Bousquet-Mélou, Michael Drmota, Christian Krattenthaler, Bernard Nienhuis
Hankel determinants of Catalan, Motzkin and Schroder numbers and its q-analogues
Masao Ishikawa
24 Oct 2007   Masato Okado
Masao Ishikawa
Combinatorics Summer School 2007 (COS 2007)   3 Sep 2007   Masahiro Hachimori (University of Tsukuba)
Refined Enumerations of Totally Symmetric Self-Complementary Plane Partitions and Lattice Path Combinatorics
Masao Ishikawa
6th International Conference on Lattice Path Combinatorics and Applications   13 Jun 2007   
Masao Ishikawa
19th International Conference on Formal Power Series and Algebraic Combinatorics   2 Jun 2007   Bill Chen (Nankai University, China)
Euler-Mahonian Statistics of Ordered Partitions
Masao Ishikawa
Combinatorial Representation Theory and Related Topics   25 Oct 2006   Takeshi Suzuki (Kyoto University)
Masao Ishikawa
Workshop of Combinatorics on q-Series and Partitions   5 Jan 2006   Jiang Zeng
Masao Ishikawa
The World of Combinatorial Representation Theory   8 Nov 2005   Hiroshi Mizukawa (Depertment of Mathematics, National Defense Academy in Japan)
Masao Ishikawa
The 17th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'05)   22 Jun 2005   Luisa Carini
Minor summation formula and a proof of Stanley's open problem
Masao Ishikawa
Combinatoire et Theorie des Nombres   25 Mar 2005   Jiang Zeng
Masao Ishikawa
Partially Ordered Sets and Algorithms   25 Aug 2004   
Masao Ishikawa
The 7th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'95)   Jun 1995   Jacques Désarménien

Association Memberships

 
 

Research Grants & Projects

 
Algebraic combinatorics of symmetric functions and its expansion to representation theory and enumerative combinatorics
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2018 - Mar 2021    Investigator(s): Soichi Okada
Study of enumeration of plane partitions and tilings, symmetric functions, determinants and Pfaffians
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2016 - Mar 2019    Investigator(s): Masao Ishikawa
Study of algebraic combinatorics of plane partitions and alternating sign matrices and related representation theory and theoretical physics
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (B)
Project Year: Apr 2012 - Mar 2017    Investigator(s): Soichi Okada
Study of combinatorics of alternating sign matrices and plane partitions, determinants and Pfaffians
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2013 - Mar 2016    Investigator(s): Masao Ishikawa
Determinants and Pfaffians appearing in enumeration of plane partitions and theoretical physics
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2009 - Mar 2012    Investigator(s): Masao Ishikawa
Study of determinants, Pfaffians and q-series appearing in enumeration problems
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2007 - Mar 2009    Investigator(s): Masao Ishikawa
Combinatorics of alternating sign matrix and symmetric functions and their applications to representation theory and integrable system
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2006 - Mar 2009    Investigator(s): Soichi Okada
Study of enumeration of plane partitions and associated determinants and Pfaffians with hyper geometric identities
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2005 - Mar 2007    Investigator(s): Masao Ishikawa
Study of character type formula for d-complete posets with the symmetric functions
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 2001 - Mar 2003    Investigator(s): Masao Ishikawa
Littlewood type identity and its applications
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 1997 - Mar 2000    Investigator(s): Masao Ishikawa
Study of duality and "infinite sum=infinite product" type formula from the aspect of the trace formula
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (B)
Project Year: Apr 1997 - Mar 1999    Investigator(s): Masato Wakayama
Multi-aspect study of G-function
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 1996 - Mar 1997    Investigator(s): Takashi Harase
Harmonic analysis in symmetric space and its applications
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 1995 - Mar 1996    Investigator(s): Keisaku Kumahara
Minor summation formula of Pfaffians and applications to the characters of the classical groups
Japan Society for the Promotion of Science: Grant-in-Aid for Young Scientists (A)
Project Year: Apr 1995 - Mar 1996    Investigator(s): Masao Ishikawa
Minor summation formula of Pfaffians and applications to the representation theory and combinatorics
Japan Society for the Promotion of Science: Grant-in-Aid for Young Scientists (A)
Project Year: Apr 1994 - Mar 1995    Investigator(s): Masao Ishikawa
Harmonic analysis based on quantum symmetry and its applications
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 1993 - Mar 1994    Investigator(s): Masato Wakayama
Study of second differential form in Riemannian space
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research (C)
Project Year: Apr 1992 - Mar 1993    Investigator(s): Masatoshi Kojima

Social Contribution

 
Mathematical Journal of Okayama University
[Chief Editor]  Department of Mathematics, Faculty of Science, Okayama University  Mathematical Journal of Okayama University  Jan 2017