Japanese page(日本語)
Welcome to
Hiroshi NARUSE's
Home Page
Emeritus Professor
Graduate School of Education,
University of Yamanashi
4437, Takeda,
Kofu,Yamanashi 4008510, JAPAN
hnaruse[at]yamanashi.ac.jp
I am a member of
Mathematical Society of Japan
American Mathematical Society
Societe Mathematique de France
Association for Symbolic Logic
Education
B.Sci. (Univ. of Tokyo, 1977) supervisor Nagayoshi Iwahori
M.Sci. (Univ. of Tokyo, 1980) supervisor Nagayoshi Iwahori
Doctor course (Univ. of Tokyo, 1984) coursework completed without degree
supervisor Nagayoshi Iwahori
Doctoral dissertation (Osaka Univ., 1999) chief examiner Noriaki Kawanaka
Resarch interest
 Algebra (especially Coxeter group and Hecke algebra)
 Schubert calculus
 Combinatorics
Research map
Recent activities
Intensive course
 2015.11.2612.2 "Schubert/Grothendieck polynomials" at University of Tokyo
 2014.07.1418 “Geometry, Algebra and Combinatorics on Schubert calculus" at Osaka City University
 2012.11.2629 "Combinatorics on Schubert calculus" at Tsukuba University
 2009.02. "Representation theory of Hecke algebras" at Uinversity of the Ryukyus
recent papers, preprints
 with L.Mihalcea and C.Su,
"Left DemazureLusztig operators on equivariant (quantum) cohomology and K theory" ,
arXiv:2008.12670
 with M. Nakagawa,
"DarondeauPragacz formulas in complex cobordism" ,
arXiv:1910.03649
 with M. Nakagawa,
"Universal factorial Schur P,Qfunctions and their duals" ,
arXiv:1812.03328
old paper written in 2012.12
 with T. Hudson, T. Ikeda and T. Matsumura,
"Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians",
J. Algebra,
Vol.546,(2020)294314.
arXiv:1809.07932
 with S. Okada,
"Skew hook formula for dcomplete posets via equivariant Ktheory" ,
Algebraic Combinatorics,
Volume 2 (2019)
no. 4
p. 541571
(Open Access)
arXiv:1802.09748
 with M. Nakagawa,
"Generating functions for the universal HallLittlewood P and Qfunctions" ,
arXiv:1705.04791 [v2] Sun, 22 Jul 2018
 H. Naruse
"Elementary proof and application of the generating function for generalized HallLittlewood functions" ,
J. Algebra,
Vol.516,(2018)197209.
arXiv:1705.02856
 with M. Nakagawa,
"Universal Gysin formulas for the universal HallLittlewood functions" ,
Contemp. Math., vol. 708, Amer. Math. Soc. (2018), pp. 201244.
arXiv:1604.00451
 with T. Hudson, T. Ikeda and T. Matsumura,
"Degeneracy Loci Classes in Ktheory  Determinantal and Pfaffian Formula ",
Adv. Math.,
Volume 320, 7 November 2017, Pages 115156
old version
"Pfaffian formula for Ktheory of odd orthogonal Grassmannians"
arXiv:1602.04448,
"Determinantal and Pfaffian formula of Ktheoretic
Schubert calclulus"
arXiv:1504.02828,
 with A.N.Kirillov,
"Construction of double Grothendieck polynomials of classical types using
IdCoxeter algebras" ,
arXiv:1504.08089
Tokyo Journal of Mathematics, Vol.39 no.3,(2017),
695728.
 with M. Nakagawa, "Generalized (co)homology of the loop spaces of classical groups
and the universal factorial Schur P and Qfunctions" ,
arXiv:1310.8008
ASPM vol.71,337417.
 with T. Ikeda and L. Mihalcea,
"Factorial P and QSchur functions represent equivariant quantum Schubert classes",
Osaka J. of Mathematics, Vol. 53 (2016), 591619.
arXiv:1402.0892
 with M.Nakasuji,
"YangBaxter basis of Hecke algebra and Casselman's problem (extended abstract)" ,
FPSAC 2016 Vancouver, Canada DMTCS proc. BC, (2016), 935946.
arXiv:1512.04485
 with A. Lascoux,
"Finite sum Cauchy identity for dual Grothendieck polynomials",
Proc. Japan Acad. Ser. A. Math. Sci. Volume 90, No.7(2014), 87―91.
 with T. Ikeda,
"Ktheoretic analogues of factorial Schur P and Q functions" ,
Adv. Math. 243 (2013), no. 1, 2266.
arXiv:1112.5223
 with T. Ikeda and L.Mihalcea ,
"Double Schubert polynomials for the classical groups"
,
Adv. Math. 226 (2011), no. 1, 840886.
arXiv:0810.1348
 with T. Ikeda ,
"Double Schubert polynomials of classical type and
Excited Young diagrams"
,
RIMS Kokyuroku Bessats B11 (2009), 87100
 with T. Ikeda,
"Excited Young diagrams and equivariant Schubert calculus",
Trans. Amer. Math. Soc. 361 (2009), no. 10, 51935221.
arXiv:0703637

"Excited Young diagrams and equivariant Schubert calculus for Grassmannians”,
RAQ 10 (Karuizawa) proceeding (2007).

"A combinatorial description of the Grassmantype parabolic KazhdanLusztig polynomial Q^I" (Japanese)
Topics in combinatorial representation theory (Japanese) (Kyoto, 2000).
available form RIMS website
old papers
 "On an Isomorphism between Specht Module and Left Cell of $\mathfrak{S}_n$,
Tokyo Journal of Mathematics. Volume 12, Number 2 (1989), 247267.
available from euclid
 "On a Formula of Morita's Partition function $q(n)$,
Tokyo Journal of Mathematics. Volume 09, Number 1 (1986), 6770.
available from euclid
 "Representation Theory of Weyl Group of Type $C_n$",
Tokyo Journal of Mathematics. Volume 08, Number 1 (1985), 177190.
available from euclid