理学修士, 東京工業大学

理学博士, 東京工業大学

Algebraic Topology

位相幾何学

Natural sciences, Applied mathematics and statistics

Natural sciences, Basic mathematics

Natural sciences, Algebra

Natural sciences, Geometry

Apr. 2000
電気通信大学電気通信学部, 教授

Apr. 1988 - Mar. 2000
電気通信大学電気通信学部, 助教授

Oct. 1984 - Mar. 1988
東京工業大学理学部, 助手

Mar. 1983
Tokyo Institute of Technology, Graduate School, Division of Science and Engineering, 数学専攻

Mar. 1979
Tokyo Institute of Technology, Graduate School, Division of Science and Engineering, 数学専攻

Mar. 1977
Tokyo Institute of Technology, Faculty of Science, 数学科

01 Apr. 1970 - 31 Mar. 1973
愛知県立中村高等学校, 普通科, Japan

Note on the spaces of real resultants with bounded multiplicity
Kohhei Yamaguchi
RIMS Kokyuroku, 京都大学数理解析研究所, 2098, 98-103, Dec. 2018, Invited
International conference proceedings, Japanese

The homotopy type of spaces of rational curves on a toric variety
Andrzej Kozlowski; Kohhei Yamaguchi
Topology and its Applications, 249, 19-42, Nov. 2018, Peer-reviwed
Scientific journal, English

The homotopy type of spaces of resultants of bounded multiplicity
Andrzej Kozlowski; Kohhei Yamaguchi
TOPOLOGY AND ITS APPLICATIONS, ELSEVIER SCIENCE BV, 232, 112-139, Dec. 2017, Peer-reviwed, For integers m, n, d >= 1 with (m, n) not equal (1, 1) and a field F with algebraic closure (F) over bar, let Poly(n)(d,m) (F) denote the space of all m-tuples (f(1)(z), ... , f(m) (z)) is an element of F[z](m) of monic polynomials of the same degree d such that polynomials f(1)(z), ... , f(m)(z) have no common root in (F) over bar of multiplicity >= n. These spaces were defined by Farb and Wolfson [12] as generalizations of spaces first studied by Arnold, Vassiliev, Segal and others in different contexts. They obtained algebraic geometrical and arithmetic results about them. In this paper we investigate the homotopy type of these spaces for the case F = C. Our results generalize those of [12] for F = C and also results of G. Segal [28], V. Vassiliev [30] and F. Cohen-R. Cohen-B. Mann-R. Milgram [5] for m >= 2 and n >= 2. (C) 2017 Published by Elsevier B.V.
Scientific journal, English

The Homotopy Type of Spaces of Polynomials with Bounded Multiplicity
Andrzej Kozlowski; Kohhei Yamaguchi
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, KYOTO UNIV, PUBLICATIONS RESEARCH INST MATHEMATICAL SCIENCES, 52, 3, 297-308, Sep. 2016, Peer-reviwed, We study the homotopy type of the space of all monic polynomials of degree d in C[z] without roots of multiplicity >= n. In particular, for n >= 3 we improve the homotopy stability dimension obtained in [5].
Scientific journal, English

The homotopy type of spaces of coprime polynomials revisited
A. Kozlowski; K. Yamaguchi
TOPOLOGY AND ITS APPLICATIONS, ELSEVIER SCIENCE BV, 206, 284-304, Jun. 2016, Peer-reviwed, The purpose of this paper is to study the topology of certain toric varieties X-I, arising as quotients of the action of C* on complements of arrangements of coordinate subspaces in C-n, and to improve the homotopy stability dimension for the inclusion map i(d) : Hol(d)*(S-2, X-I) -> Map(d)*(S-2, X-I) given in [11] by making use of the Vassiliev spectral sequence.
We also improve the homotopy stability dimension of this inclusion given by G. Segal [18] for X-I = CPn-1 and n >= 3. (C) 2016 Published by Elsevier B.V.
Scientific journal, English

Spaces of algebraic maps from real projective spaces to toric varieties
Andrzej KonowsKi; Masahiro Ohno; Kohhei Yamaguchi
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, MATH SOC JAPAN, 68, 2, 745-771, Apr. 2016, Peer-reviwed, The problem of approximating the infinite dimensional space of all continuous maps from an algebraic variety X to an algebraic variety Y by finite dimensional spaces of algebraic maps arises in several areas of geometry and mathematical physics. An often considered formulation of the problem (sometimes called the Atiyah-Jones problem after [1]) is to determine a (preferably optimal) integer n(D) such that the inclusion from this finite dimensional algebraic space into the corresponding infinite dimensional one induces isomorphisms of homology (or homotopy) groups through dimension n(D), where D denotes a tuple of integers called the "degree" of the algebraic maps and n(D) -> infinity as D -> infinity. In this paper we investigate this problem in the case when X is a real projective space and Y is a smooth compact toric variety.
Scientific journal, English

Note on the space of polynomials with roots of bounded multiplicity
Kohhei Yamaguchi
数理解析研究所講究録, 京都大学数理解析研究所, 1968, 126-129, Nov. 2015, Invited
International conference proceedings, English

Spaces of equivariant maps to toric varieties
Kohhei Yamaguchi
数理解析研究所講究録, 京都大学数理解析研究所, 1922, 28-33, Oct. 2014, Invited
Research institution, English

The space of maps from a real projective space to a toric variety
Andrzej Kozlowski; Masahiro Ohno; Kohhei Yamaguchi
数理解析研究所講究録, 数理解析研究所講究録, 1876, 120-125, Jan. 2014, Invited
Research institution, English

Spaces of equivariant algebraic maps from real projective spaces into complex projective spaces
Andrzej Kozlowski; Kohhei Yamaguchi
RIMS Kokyuroku Bessatsu, Research Institute for Mathematical Science Kyoto University, 39, 51-61, Apr. 2013, Peer-reviwed
Scientific journal, English

Simplicial resolutions and spaces of algebraic maps between real projective spaces
A. Kozlowski; K. Yamaguchi
TOPOLOGY AND ITS APPLICATIONS, ELSEVIER SCIENCE BV, 160, 1, 87-98, Jan. 2013, Peer-reviwed, We show that the space A(d)(m, n) consisting of all real projective classes of (n + 1)-tuples of real coefficients homogeneous polynomials of degree d in (m + 1) variables, without common real roots except zero, has the same homology as the space Map(RPm, RPn) of continuous maps from the in-dimensional real projective space RPm into the n real dimensional projective space RPn up to dimension (n m)(d + 1) - 1. This considerably improves the main result of Adamaszek et al. (2011)[1]. (C) 2012 Elsevier B.V. All rights reserved.
Scientific journal, English

Note on the homotopy of the spaces of maps between real projective spaces
Kohhei Yamaguchi
Math. J. Okayama Univ., Department of Mathematics, Faculty of Science, Okayama University, 54, 1, 77-86, 2012, Peer-reviwed, We study the homotopy types of the space consisting of all base-point preseving continuous maps from the m dimensional real projective space into the n dimensional real projective space. When 2 ≤ m < n, it has two path connected components and we investigate whether these two path-components have the same homotopy type or not.
Scientific journal, English

SPACES OF ALGEBRAIC AND CONTINUOUS MAPS BETWEEN REAL ALGEBRAIC VARIETIES
Michal Adamaszek; Andrzej Kozlowski; Kohhei Yamaguchi
QUARTERLY JOURNAL OF MATHEMATICS, OXFORD UNIV PRESS, 62, 4, 771-790, Dec. 2011, Peer-reviwed, We consider the inclusion of the space of algebraic (regular) maps between real algebraic varieties in the space of all continuous maps. For a certain class of real algebraic varieties, which include real projective spaces, it is well known that the space of real algebraic maps is a dense subset of the space of all continuous maps. Our first result shows that, for this class of varieties, the inclusion is also a homotopy equivalence. After proving this, we restrict the class of varieties to real projective spaces. In this case, the space of algebraic maps has a 'minimum degree' filtration by finite-dimensional subspaces and it is natural to expect that the homotopy types of the terms of the filtration approximate closer and closer the homotopy type of the space of continuous mappings as the degree increases. We prove this and compute the lower bounds of this approximation of these spaces. This result can be seen as a generalization of the results of Mostovoy, Vassiliev and others on the topology of the space of real rational maps and the space of real polynomials without n-fold roots. It can also be viewed as a real analogue of Mostovoy's work on the topology of the space of holomorphic maps between complex projective spaces, which generalizes Segal's work on the space of complex rational maps.
Scientific journal, English

On the spaces of equivariant maps between real algebraic varieties
Kohhei Yamaguchi
数理解析研究所講究録, 1732, 42-50, Mar. 2011
International conference proceedings, Japanese

Spaces of algebraic maps from real projective spaces into complex projective spaces
Andrzej Kozlowski; Kohhei Yamaguchi
Contemporary Math., 519, 145-164, 2010, Peer-reviwed
Scientific journal, English

Spaces of maps from the closed Riemann surface into the 2-sphere
Kohhei Yamaguchi
数理解析研究所講究録, 1670, 77-83, Dec. 2009
International conference proceedings, English

Simplicial resolutions and their applications
Kohhei Yamaguchi
数理解析研究所講究録, 1612, 170-180, Sep. 2008
International conference proceedings, English

The homotopy approximation of spaces of algebraic maps between algebraic varieties
Kohhei Yamaguchi
数理解析研究所講究録, 1569, 123-131, Sep. 2007
International conference proceedings, English

Resultants and universal coverings
Kohhei Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 47, 4, 859-873, 2007, Peer-reviwed, We construct the universal coverings of spaces of self-holomorphic maps on the complex projective space CPn by using the resultants, and we study their homotopy types.
Scientific journal, English

The homotopy of spaces of maps between real projective spaces
Kohhei Yamaguchi
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, MATH SOC JAPAN, 58, 4, 1163-1184, Oct. 2006, Peer-reviwed, We study the homotopy groups of spaces of continuous maps between real projective spaces and we generalize the results given in [5], [8] and [12]. In particular, we determine the rational homotopy types of these spaces and compute their fundamental groups explicitly.
Scientific journal, English

The topology of the space of holomorphic maps with bounded multiplicity
Kohhei Yamaguchi
Publ. Res. Inst. Math. Sci., 42, 1, 83-100, 2006, Peer-reviwed
Scientific journal, English

Spaces of holomorphic maps between complex projective spaces and group actions
Kohhei Yamaguchi
数理解析研究所講究録, 1449, 72-81, Sep. 2005
International conference proceedings, English

Homotopy classification of twisted complex projective spaces of dimension 4
J Mukai; K Yamaguchi
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, MATH SOC JAPAN, 57, 2, 461-489, Apr. 2005, Peer-reviwed, We study the existence problem of a 2n dimensional Poincare complex whose homology is isomorphic to that of n dimensional complex projective space when n = 4.
Scientific journal, English

Spaces of free loops on real projective spaces
K Yamaguchi
KYUSHU JOURNAL OF MATHEMATICS, KYUSHU UNIV, FAC MATHEMATICS, 59, 1, 145-153, Mar. 2005, Peer-reviwed, We study the homotopy types of the spaces of free algebraic loops on real projective spaces. In particular, we show that the Morse theoretic principle holds for these spaces in the stable homotopy category.
Scientific journal, English

Homotopy types of m-twisted CP^4^'s
Kohhei Yamaguchi
Hiroshima Math. J., 35, 1, 143-157, 2005, Peer-reviwed
Scientific journal, English

Connective coverings of a few cell complexes
Kohhei Yamaguchi
Math. J. Okayama Univ., 47, 133-139, 2005, Peer-reviwed
Scientific journal, English

Fundamental groups of spaces of holomorphic maps and group actions
K Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 44, 3, 479-492, Dec. 2004, Peer-reviwed, For integers d greater than or equal to 0 and 1 less than or equal to k less than or equal to n, let Hol(d) (CPk, CPn) denote the space consisting of all holomorphic maps f : CPk - CPn of degree d. We shall compute the fundamental group of Hol(d) (CPk, CPn) and study PGL(n+1)(C)-action on it.
Scientific journal, English

Remark on homotopy types of twisted complex projective spaces
Kohhei Yamaguchi
数理解析研究所講究録, 1398, 140-144, Sep. 2004
International conference proceedings, English

Mod p truncated configuration spaces
Kohhei Yamaguchi
J. Math. Soc. Japan, 56, 1, 191-199, 2004, Peer-reviwed
Scientific journal, English

Remark on cup-products
Kohhei Yamaguchi
Math. J. Okayama Univ., 46, 115-120, 2004, Peer-reviwed
Scientific journal, English

The topology of spaces of maps between real projective spaces
K Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 43, 3, 503-507, Dec. 2003, Peer-reviwed
Scientific journal, English

The topology of spaces of algebraic maps between projective spaces
Kohhei Yamaguchi
The 12th MSJ-IRI "Singularity Theorey and Its Applications" Abstract, pp. 289, Sep. 2003
International conference proceedings, English

Connective coverings of spaces of holomorphic maps
K Yamaguchi
OSAKA JOURNAL OF MATHEMATICS, OSAKA JOURNAL OF MATHEMATICS, 40, 3, 741-750, Sep. 2003, Peer-reviwed
Scientific journal, English

Spaces of holomorphic maps between complex projective spaces of degree one
A Kozlowski; K Yamaguchi
TOPOLOGY AND ITS APPLICATIONS, ELSEVIER SCIENCE BV, 132, 2, 139-145, Aug. 2003, Peer-reviwed, For an integer d greater than or equal to 0, let Hol(d) (Cp-k, CPn) denote the space consisting of all holomorphic maps f : CPk --> CPn of degree d. We study the homogeneous space structure of Hol(d) (CPk, CPn) for the case d = 1. In particular we explicitly determine its homotopy type. (C) 2003 Elsevier B.V. All rights reserved.
Scientific journal, English

Group actions on spaces of rational functions
Yohei Ono; Kohhei Yamaguchi
Publ. Res. Inst. Math. Sci., 39, 1, 173-181, 2003, Peer-reviwed
Scientific journal, English

Configuration space models for spaces of maps from a Riemann surface to complex projective space
Kohhei Yamaguchi
Publ. Res. Inst. Math. Sci., 39, 3, 535-543, 2003, Peer-reviwed
Scientific journal, English

Spaces of polynomials without 3-fold real roots
K Hirata; K Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 42, 3, 509-516, Dec. 2002, Peer-reviwed, Let p(n)(d) (R) denote the space consisiting of all monic polynomials f (z) is an element of R[z] of degree d which have no real roots of multplicity greater than or equal to n. In this paper we study the homotopy types of the spaces p(n)(d) (R) for the case n = 3.
Scientific journal, English

Spaces of polynomials with real roots of bounded multiplicity
K Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 42, 1, 105-115, Mar. 2002, Peer-reviwed
Scientific journal, English

Universal coverings of spaces of holomorphic maps
Kohhei Yamaguchi
Kyushu Journal of Mathematics, 56, 2, 381-389, 2002, Peer-reviwed
Scientific journal, English

Spaces of holomorphic maps with bounded multiplicity
Kohhei Yamaguchi
Quart. J. Math., 52, 2, 949-959, 2001, Peer-reviwed
Scientific journal, English

Self-homotopy equivalences of SO(4)
Kohhei Yamaguchi
Hiroshima Math. J., Hiroshima University, 30, 1, 129-136, 2000, Peer-reviwed
Scientific journal, English

Topology of complements of resultants and discriminants
Andrzej Kozlowski; Kohhei Yamaguchi
J. Math. Soc. Japan, 52, 4, 949-959, 2000, Peer-reviwed
Scientific journal, English

Complements of resultants and homotopy types
K Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 39, 4, 675-684, Dec. 1999, Peer-reviwed
Scientific journal, English

Spaces of polynomials with roots of bounded multiplicity
MA Guest; A Kozlowski; K Yamaguchi
FUNDAMENTA MATHEMATICAE, POLISH ACAD SCIENCES INST MATHEMATICS, 161, 1-2, 93-117, 1999, Peer-reviwed, We describe an alternative approach to some results of Vassiliev ([Va1]) on spaces of polynomials, by applying the "scanning method" used by Segal ([Se2]) in his investigation of spaces of rational functions. We explain how these two approaches are related by the Smale-Hirsch Principle or the h-Principle of Gromov. We obtain several generalizations, which may be of interest in their own right.
Scientific journal, English

Stable splittings of the space of polynomials with roots of bounded multiplicity
M. A. Guest; A. Kozlowski; K. Yamaguchi
J. Math. Kyoto Univ., 38, 2, 351-366, 1998, Peer-reviwed
Scientific journal, English

Actions of spaces of poiynomials
Kohhei Yamaguchi
Math. J. Okayama Univ., 40, 141-145, 1998, Peer-reviwed
Scientific journal, English

Homological stability of oriented configuration spaces
MA Guest; A Kozlowsky; K Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 36, 4, 809-814, Dec. 1996, Peer-reviwed
Scientific journal, English

The homotopy type of the space of rational functions
MA Guest; A Kozlowski; M Murayama; K Yamaguchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, 35, 4, 631-638, Dec. 1995, Peer-reviwed
Scientific journal, English

The topology of spaces of coprime polynomials
M. A. Guest; A. Kozlowski; K. Yamaguchi
Math. Z., 217, 3, 435-446, 1994, Peer-reviwed
Scientific journal, English

A Note on Spaces of Rational Functions
M. A. Guest; A. Kozlowski; M. Murayama; K. Yamaguchi
数理解析研究所講究録, Kyoto University, 838, 35-39, 1993
International conference proceedings, English

Configuration spaces of Divisors and holomorphic maps
M. A. Guest; A. Kozlowski; K. Yamaguchi
数理解析研究所講究録, 781, 46-50, 1992
International conference proceedings, English

Self maps of Σkcp3 for k≧1
Kohhei Yamaguchi
Kodai Mathematical Journal, 14, 1, 144-162, 1991, Peer-reviwed
Scientific journal, English

Self-homotopy equivalences and highly connected Poincare complexes
Kohhei Yamaguchi
Lecture Notes in Math., Springer-Verlag, 1425, 157-169, 1990, Peer-reviwed
Scientific journal, English

Operations Which Detect P^1 in the Odd Primary Connective K-Thory
Kohhei Yamaguchi
Pacific J. Math., 130, 3, 195-208, 1987, Peer-reviwed
Scientific journal, English

The group of self-homotopy equivalences of s2 bundles over s4 II: applications
Kohhei Yamaguchi
Kodai Mathematical Journal, 10, 1, 1-8, 1987, Peer-reviwed
Scientific journal, English

The Group of Self-Homotopy Equivalences of S²-Bundles over S⁴, I
Kohhei Yamaguchi
Kodai Math. J., 9, 2, 308-326, 1986, Peer-reviwed
Scientific journal, English

Homotopy types of connected sums of spherical fibre spaces over spheres
Kohhei Yamaguchi
Kodai Mathematical Journal, 8, 3, 330-337, 1985, Peer-reviwed
Scientific journal, English

球面上のSpherical Fibre Space の連結和について
山口耕平
数理解析研究所講究録, 505, 92-106, Dec. 1983
International conference proceedings, Japanese

球面上のSpherical Fibre Space の連結和について
山口耕平
数理解析研究所講究録, 京都大学, 505, 92-106, Dec. 1983
International conference proceedings, Japanese

On Self-Homotopy Equivalences of the Wedge of Certain Complexes
Kohhei Yamaguchi
Kodai Math. J., 6, 3, 346-375, 1983, Peer-reviwed
Scientific journal, English

On the Rational Homotopy of Map(HP^m, HPⁿ)
Kohhei Yamaguchi
Kodai Math. J., 6, 3, 279-288, 1983, Peer-reviwed
Scientific journal, English

ON HOMOTOPY SELF-EQUIVALENCES OF THE PRODUCT AXB
Y ANDO; K YAMAGUCHI
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, 58, 7, 323-325, 1982, Peer-reviwed
Scientific journal, English

On the Homotopy Types of CW Complexes with the Form S²υe⁴υe⁶
Kohhei Yamaguchi
Kodai Math. J., 5, 2, 303-312, 1982, Peer-reviwed
Scientific journal, English

理工系 基礎数学演習
石田晴久; 伊東裕也; 榎本直也; 大野真裕; 木田雅成; 久藤衡介; 田吉隆夫; 内藤敏機; 山口耕平; 山田裕一
General book, Japanese, Joint work, コロナ社, 01 Apr. 2015

理工系基礎数学演習
石田晴久; 伊東裕也; 大野真裕; 木田雅成; 田吉隆夫; 内藤敏機; 山口耕平; 山田裕一
Japanese, Joint work, 昭晃堂, Apr. 2005

微分積分・線形代数 数学演習
伊東裕也; 大久保謙二郎; 金沢稔; 小島久祉; 田吉隆夫; 内藤敏機; 三沢正史; 山口耕平
Japanese, Joint work, 昭晃堂, Apr. 1996

Spaces of resultants related to topic varieties and related problems
山口耕平
Oral presentation, Japanese, 京都大学数理解析研究所、共同研究(公開型)「変換群とその応用」, 京都大学数理解析研究所, 京都市左京区北白川追分町, Domestic conference
29 May 2019

Real analogues of spaces of resultants and its related problems
山口耕平
Oral presentation, Japanese, 京都大学数理解析研究所 共同研究「変換群における幾何・代数・組み合わせ論」, Invited, 京都大学数理解析研究所共同研究（公開型）, 京都市左京区, https://www.xmath.ous.ac.jp/~kuroki/TG2018RIMSj.html, Domestic conference
07 Jun. 2018

Spaces of resultants with bounded multiplicity and its real analogues
山口耕平
Oral presentation, English, 研究集会「特異点とその応用」, Invited, 北海道大学理学部, Domestic conference
21 Feb. 2018

The homotopy of spaces of resultants of bounded multiplicity
山口耕平
Oral presentation, Japanese, 研究集会「福岡ホモトピー論セミナー」, 福岡大学, 福岡大学セミナーハウス(福岡市中央区), http://surgery.matrix.jp/math/Program180107.pdf, Domestic conference
08 Jan. 2018

The problem of spaces of resultants related to rational curves on a toric variety
山口耕平
Oral presentation, Japanese, 京都大学数学教室「代数トポロジーセミナー」, 京都大学大学院理学研究科, 京都市左京区北白川追分町, https://www.math.kyoto-u.ac.jp/ja/event/seminar/3070, Domestic conference
25 Dec. 2017

Spaces of resultants of bounded multiplicity and its related problems
山口耕平
Oral presentation, Japanese, 研究集会「空間の代数的・幾何的モデルとその周辺」, Invited, Domestic conference
06 Sep. 2017

The homotopy of the space of rational curves on a topic variety
Andrzej Kozlowski; 山口耕平
Oral presentation, Japanese, 研究集会「群作用と位相」, 兵庫県豊岡市城崎町, Domestic conference
05 Dec. 2016

The homotopy type of spaces of resultants and related topics
山口耕平
Others, Japanese, 京都大学大学院理学研究科談話会/平成28年度京都大学数学談話会アブストラクト, page 10, Invited, 京都大学大学院理学研究科数学教室, 京都市左京区北白河追分町 京都大学大学院理学研究科
22 Jun. 2016

Segal type fibration sequences and scanning maps
山口耕平
Oral presentation, Japanese, RIMS研究集会「新しい変換群論の幾何」, 京都大学数理解析研究所, 京都大学, Domestic conference
28 May 2015

The homotopy type of the space of rational curves on a toric variety
Andrzej Kozlowski; Kohhei Yamaguchi
Invited oral presentation, English, 「ホモトピー論における有限と無限」研究集会, Invited, 九州大学西新プラザ, Domestic conference
20 Mar. 2015

Atiyah-Jones type problem for the space of holomorphic maps on a certain toric variety
Kohhei Yamaguchi
Nominated symposium, English, The 41th Symposium on Transformation Groups Abstract, 日本数学会トポロジー分科会, 愛知県蒲郡市市民会館, http://www.isc.meiji.ac.jp/~takahiko/workshop/TransformationGroups2014/yamaguchi.pdf, Domestic conference
13 Nov. 2014

The space of maps to a real toric variety
Kohhei Yamaguchi
Oral presentation, English, 京都大学数理解析研究所共同利用研究集会「変換群の位相幾何学と代数構造」, Invited, 京都大学数理解析研究所共同利用掛, 京都, Domestic conference
26 May 2014

On the homotopy of the space of maps to a toric variety
山口耕平
Public symposium, Japanese, ２０１３年度ホモトピー論シンポジウム, ２０１３年度ホモトピー論シンポジウム講演アブストラクト, 岡山
Nov. 2013

On the space of algebraic maps to toric varieties
山口耕平
Public symposium, Japanese, RIMS研究集会「変換群のトポロジーとその周辺」, 京都大学数理解析研究所共同研究事業, 京都
May 2013

Simplicial resolutions and their related topics
山口耕平
Oral presentation, Japanese, 城崎ホモトピー論研究会, Invited, 城崎ホモトピー論研究会
Nov. 2011

Truncated simplicial resolutions and spaces of algebraic maps
山口耕平
Public symposium, Japanese, 変換群の幾何と組み合せ論, 京都大学数理解析研究所共同研究事業, 京都大学数理解析研究所
Jun. 2011

Spaces of Z/2-equivariant maps between some real algebraic varieties
山口耕平
Public symposium, Japanese, RIMS 研究集会「変換群と手術理論」, 京都大学数理解析研究所共同研究事業, 京都
Aug. 2010

The homotopy of spaces of algebraic maps between real algebraic varieties
山口耕平
Public symposium, Japanese, RIMS研究集会「空間の代数的・幾何学的モデルとその周辺」, 京都大学数理解析研究所共同研究事業, 京都
Jun. 2010

The homotopy type of spaces of algebraic maps, I
Michal Adamaszek; Andrzej Kozlowski; 山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト,日本数学会年会
Mar. 2010

The homotopy type of spaces of algebraic maps, II
Michal Adamaszek; Andrzej Kozlowski; 山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト,日本数学会年会
Mar. 2010

写像空間の連結成分のホモトピー型について
山口耕平
Oral presentation, Japanese, 日本数学会トポロジー分科会トポロジープロジェクト,ホモトピー論シンポジウム
Nov. 2009

The space of complex curves on the complex projective plane
山口耕平
Oral presentation, Japanese, 京都大学数理解析研究所研究集会「変換群論の新たな展開」,研究集会「変換群論の新たな展開」
Aug. 2009

The homotopy of spaces of algebraic maps and related topics
山口耕平
Oral presentation, Japanese, 研究集会「変換群の理論とその応用」（京大数理解析研究所）
May 2007

On spaces of maps between complex projective spaces
山口耕平
Public symposium, Japanese, 岡山ホモトピー論ワークショップ, 岡山大学理学部, 岡山市
Mar. 2007

数理物理学に関連した位相幾何学とモース理論の研究と数式処理の研究
Kohhei Yamaguchi
Others, Japanese, 平成16年度～18年度科学研究費補助金(基盤(C))研究成果報告書(研究代表者：山口耕平),平成16年度～18年度科学研究費補助金(基盤(C))研究成果報告書(研究代表者：山口耕平)
Feb. 2007

The homotoy of spaces of maps between real projective spaces
Andrzej Kozlowski; 山口耕平
Oral presentation, Japanese, ホモトピー論シンポジウム講演アブストラクト,ホモトピー論シンポジウム
Nov. 2006

Spaces of holomorphic maps between complex projective spaces
山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト（中央大学理工学部）
Mar. 2006

The homotopy of spaces of algebraic maps between projective spaces and related problems
Kohhei Yamaguchi
Invited oral presentation, English, International Conference on Algebraic Topology at Kyoto 2005, COE Conference at Kyoto University
Dec. 2005

Topology of spaces of holomorphic maps between complex projective spaces and related problems
山口耕平
Public symposium, Japanese, ホモトピー論岡山ワークショップ2005, 岡山大学理学部数学教室, 岡山
Nov. 2005

Homotopy types of 1-connected 8 dimensional Poincare complexes
向井純夫; 山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト,日本数学会２００５年度秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 2005

Homotopy types of spaces of holomorphic maps with bounded multiplicity
山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト
Mar. 2005

Spaces of maps between projective spaces and Segal's conjecture
山口耕平
Oral presentation, Japanese, 岡山大学理学部数学教室談話会
Dec. 2004

Homotopy types of 4-dimensional twisted complex projective spaces
山口耕平
Oral presentation, Japanese, 「空間の代数的・幾何学的構造」研究集会, 信州大学理学部
Sep. 2004

変分問題に関連した位相幾何学の研究と数式処理の研究
山口耕平
Others, Japanese, 平成13年～平成15年度科学研究費補助金 (基盤研究 (C)(2)) 研究成果報告書 (研究代表者 山口耕平)
Feb. 2004

Stable homotopy types of spaces of algebraic loops
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 2003

Remark on spaces of holomorphic maps between complex projective spaces
Kohhei Yamaguchi
Oral presentation, English, International Coference on Algebraic Topology (at Kinosaki)
Jul. 2003

Note on spaces of holomorphic maps between complex projective spaces
Andrzej Kozlowski; 山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト
Mar. 2003

有理関数のなす空間上の１次分数変換作用とその軌道空間のホモトピー型について
小野陽平; 山口耕平
Oral presentation, Japanese, 変換群論シンポジウム（国際キリスト教大学）講演アブストラクト
Nov. 2002

The topology of spaces of coprime polynomials with bounded multiplicity
山口耕平
Oral presentation, Japanese, ホモトピー論シンポジウム（富山国際大学）講演アブストラクト
Oct. 2002

Spaces of holomorphic maps between complex projective spaces and related problems
山口耕平
Oral presentation, Japanese, 「空間の代数的モデルとその展望」研究集会講演アブストラクト（岡山大学理学部）
Sep. 2002

Universal coverings of spaces of rational functions
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 2002

The group action on spaces of rational functions
小野陽平; 山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 2002

2-connective coverings of spaces of holomorphic maps
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 2002

Topology of spaces of holomorphic maps and generalization of Segal's Theorem
Kohhei Yamaguchi
Invited oral presentation, English, Satellite Conference of the International Conference of Mathematics 2002 at Sizuhou Univ. in China, Mathematical Society of China, Sizhou, China, International conference
Aug. 2002

The topology of spaces of polynomials with real roots of bounded multiplicity
平田浩一; 山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト（明治大学)
Mar. 2002

Configuration space modles for spaces of maps from a Riemann surface into complex projective space
山口耕平
Oral presentation, Japanese, ホモトピー論シンポジウム講演アブストラクト（大阪府立大学）(2001.11.7)
Nov. 2001

Configuration space models for mapping spaces
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト，(2001.10.7)
Oct. 2001

数理物理学に関連する位相幾何学の研究と数式処理の研究
山口耕平
Others, Japanese, 平成11～平成12年度科学研究費補助金 (基盤研究 (C)(2)) 研究成果報告書 (代表者 山口耕平)
Feb. 2001

Vaasilievの多項式の空間のトポロジーについて
山口耕平
Oral presentation, Japanese, 水戸トポロジー研究集会講演アブストラクト（茨城大学），(2000.11.20)
Nov. 2000

Filtrations of spaces of holomorphic maps and their stability
山口耕平
Oral presentation, Japanese, ホモトピー論シンポジウム講演アブストラクト（愛媛大学），(2000.10.12)
Oct. 2000

Filtration of spaces of holomorphic maps
山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト
Mar. 2000

多項式の空間とその群作用について
山口耕平
Oral presentation, Japanese, ホモトピー論シンポジウム講演アブストラクト
Oct. 1999

Group action on spaces of polynomials and their orbit spaces
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 1999

位相幾何学の数理物理学への応用と数式処理の研究
山口耕平
Others, Japanese, 平成9年度～平成10年度科学研究費補助金 (基盤研究 (C)) 研究成果報告書 (研究代表者 山口耕平)
Feb. 1999

Homotopy types of complements of discriminants and James filtrations
M. A. Guest; A. Kozlowski; 山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Oct. 1998

Topology of spaces of polynomials and Vassiliev's theorems
山口耕平
Invited oral presentation, Japanese, 日本数学会1997年度トポロジー分科会特別講演（講演アブストラクト, p77-87), Invited, 日本数学会1997年度トポロジー分科会講演アブストラクト(特別講演), Domestic conference
Sep. 1997

The topology of spaces of certain monic polynomials
M. A. Guest; A. Kozlowski; 山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト
Apr. 1996

Applications of labelled configuration spaces
M. A. Guest; A. Kozlowski; K. Yamaguchi
Invited oral presentation, Japanese, 第４1回全日本トポロジーシンポジウム（講演アブストラクト p130-135）, Invited, 日本数学会トポロジー分科会, Domestic conference
Jul. 1994

有理関数の空間とConfiguration-空間のトポロジーについて
山口耕平
Invited oral presentation, Japanese, 京都大学理学部数学談話会（招待講演）(1994 Abstracts of Colloquim in Mathematics , p50-53), Invited, 1994 Abstracts of Colloquim in Mathematics (京都大学数学談話会)
25 Jan. 1994

Topology of spaces of rational functions and configuration spaces
山口耕平
Invited oral presentation, Japanese, 第４０回全日本トポロジーシンポジウム（講演アブストラクト p105-112）, Invited, 日本数学会トポロジー分科会, Domestic conference
Jul. 1993

$\Sigma^k{\bf CP}^n$の自己写像について
山口耕平
Oral presentation, Japanese, 有限複体のホモトピー論研究集会報告集 (文部省科研総合(A))
Jan. 1991

(n-2)-連結 2n次元Poincare complexのホモトピー型について
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 1989

Operations which detect $P^1$ in odd primary connective K-theory
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 1986

The group of self-homotopy equivalences of $S^2$-bundles over $S^4$
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 1985

Spherical fiber spaceのconnected sumのホモトピー型について
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 1983

On the homotopy groups of self-homotopy equivalences of the wedge of certain complexes
山口耕平
Oral presentation, Japanese, 日本数学会年会トポロジー分科会講演アブストラクト
Mar. 1983

$Map({\rm HP}^m,{\rm HP}^n$のrational homotopy群について
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 1982

On the homotopy type of CW complexes with form $S^2 \cup e^4 \cup e^6$
山口耕平
Oral presentation, Japanese, 日本数学会秋季総合分科会トポロジー分科会講演アブストラクト
Sep. 1981

解析学（クラス2）
電気通信大学

Geometry
The University of Electro-Communications

Calculus I
The University of Electro-Communications

解析学（クラス１０）
The University of Electro-Communications

解析学（クラス１０）
電気通信大学

解析学（クラス２）
The University of Electro-Communications

解析学（クラス２）
電気通信大学

微分積分学第二（クラス１）
The University of Electro-Communications

微分積分学第二（クラス１）
電気通信大学

微分積分学第二（クラス９）
The University of Electro-Communications

幾何学概論(II類)
The University of Electro-Communications

幾何学概論(II類)
電気通信大学

微分積分学第一（クラス１）
The University of Electro-Communications

微分積分学第二（クラス２）
電気通信大学

Analysis
The University of Electro-Communications

Calculus II
The University of Electro-Communications

微分積分学第二（クラス９）
電気通信大学

Basic theory of geometry
The University of Electro-Communications

Complex function of one variable
The University of Electro-Communications

関数論（夜間主再履修クラス）
電気通信大学

Calculus No.1
The University of Electro-Communications

微分積分学第一（クラス１）
電気通信大学

Special Lecture on Mathematics
University of Kyoto

数学特別講義（位相幾何学 II）
京都大学

幾何学基礎論（社会人クラス）
The University of Electro-Communications

幾何学基礎論（社会人クラス）
電気通信大学

関数論（再履修クラス）
The University of Electro-Communications

関数論（再履修クラス）
電気通信大学

微分積分学第二 (クラス１２）
The University of Electro-Communications

微分積分学第二 (クラス１２）
電気通信大学

解析学（クラス６）
The University of Electro-Communications

解析学（クラス６）
電気通信大学

微分積分学第二 (クラス１）
The University of Electro-Communications

微分積分学第二 (クラス１）
電気通信大学

微分積分学第一 (クラス５）
The University of Electro-Communications

微分積分学第一 (クラス５）
電気通信大学

解析学（クラス１）
The University of Electro-Communications

解析学（クラス１）
電気通信大学

幾何学基礎論
The University of Electro-Communications

幾何学基礎論
電気通信大学

関数論（Bコース再履修クラス）
The University of Electro-Communications

関数論（Bコース再履修クラス）
電気通信大学

微分積分学第一(クラス５）
The University of Electro-Communications

微分積分学第一(クラス５）
電気通信大学

幾何学特論
The University of Electro-Communications

幾何学特論
電気通信大学

解析学（クラス１１）
The University of Electro-Communications

解析学（クラス１１）
電気通信大学

解析学（クラス７）
The University of Electro-Communications

解析学（クラス７）
電気通信大学

微分積分学第二 (クラス１０）
The University of Electro-Communications

微分積分学第二 (クラス１０）
電気通信大学

微分積分学第二 (クラス９）
The University of Electro-Communications

微分積分学第二 (クラス９）
電気通信大学

関数論
The University of Electro-Communications

関数論
電気通信大学

微分積分学第一 (クラス1)
The University of Electro-Communications

微分積分学第一 (クラス1)
電気通信大学

日本数学会

アメリカ数学会(AMERICAN MATHEMATICAL SOCIETY)

Topology of Spaces of Rational Functions and configuration spaces
1993 - 1993

Configuration Spaces of Divisors and Holomorphic Maps
1992 - 1992

Σ┣D1k┫D1P┣D1n┫D1の自己写像について
1991 - 1991

球面上のSpherical Fibre Spaceの連結和について
1983 - 1983

Homotopy types of spaces of holomorphic maps on topic varieties and related geometry
Yamaguchi Kohhei
Principal investigator
01 Apr. 2018 - 31 Mar. 2022

The applications of real singularity theory and the topology of the space of regular maps
山口耕平
Principal investigator
01 Apr. 2014 - 31 Mar. 2018

正則写像のなす空間の位相と実特異点論のホモトピー論への応用の研究
01 Apr. 2011 - 31 Mar. 2014

Reseach of topology related to Morse theory and numerical computations
01 Apr. 2007 - 31 Mar. 2010

数理物理学に関連した位相幾何学とモース理論の研究および数式処理の研究
01 Apr. 2004 - 31 Mar. 2007

変分問題に関連した位相幾何学の研究と数式処理の研究
01 Apr. 2001 - 31 Mar. 2004

数理物理学に関連する位相幾何学の応用と数式処理の研究
01 Apr. 1999 - 31 Mar. 2001

位相幾何学の数理物理学への応用の研究と数式処理の研究
01 Apr. 1997 - 31 Mar. 1999

位相幾何学の数理物理学への応用と数式処理の研究
01 Apr. 1996 - 31 Mar. 1997

位相幾何学に現れる数理物理と数式処理の研究
01 Apr. 1995 - 31 Mar. 1996

位相幾何学の数理物理学への応用と数式処理の研究
01 Apr. 1994 - 31 Mar. 1995