Updated on 2024/10/06
博士(理学) ( 1999.3 大阪大学 )
Normal algebraic surfaces
Open algebraic surfaces
Logarithmic Kodaira dimension
Affine algebraic surfaces
Natural Science / Algebra / Algebraic Geometry
Niigata University Professor
2013.4
Niigata University Professor
2010.9 - 2013.3
Niigata University Associate Professor
2004.4 - 2010.8
Niigata University Lecturer
2002.4 - 2004.3
Naruto University of Education College of Education Research Assistant
2000.11 - 2002.3
Osaka University
2000.4 - 2000.11
Osaka University
1999.4 - 2000.3
Osaka University
1997.4 - 1999.3
Niigata University Faculty of Science Department of Science Professor
2017.4
Niigata University Graduate School of Science and Technology Electrical and Information Engineering Professor
2013.4
Niigata University Graduate School of Science and Technology Electrical and Information Engineering Professor
2013.4
Niigata University Faculty of Science Department of Mathematics Professor
2013.4 - 2017.3
Niigata University Faculty of Engineering Department of Information Engineering Professor
2010.9 - 2013.3
Niigata University Faculty of Engineering Department of Information Engineering Associate Professor
2004.4 - 2010.8
Niigata University Faculty of Engineering Lecturer
2002.4 - 2004.3
Osaka University 大学院理学研究課博士後期課程 数学専攻
1997.4 - 1999.3
Osaka University Graduate School of Science 数学専攻
1995.4 - 1997.3
Niigata University Faculty of Science Department of Mathematics
1991.4 - 1995.3
THE MATHEMATICAL SOCIETY OF JAPAN
Rings of nilpotent elements of monomial derivations on polynomial rings Reviewed
Kyohei Hattori, Hideo Kojima
Communications in Algebra 52 ( 7 ) 2998 - 3009 2024.2
Smooth affine G_m-surfaces with finite Picard groups and trivial units Reviewed
Hideo Kojima
Tokyo Journal of Mathematics 46 ( 1 ) 93 - 109 2023.6
Normal log canonical del Pezzo surfaces of rank one and type (IIb) Reviewed
Hideo Kojima, Takeshi Takahashi
Saitama Mathematical Journal 34 47 - 72 2022.2
Some results on open algebraic surfaces of logarithmic Kodaira dimension zero Reviewed
Hideo Kojima
Journal of Algebra 547 238 - 261 2020.4
Singularities of Normal Log Canonical del Pezzo Surfaces of Rank One Invited Reviewed
Hideo Kojima
Polynomial rings and affine algebraic geometry, Springer Proc. Math. Stat. 319 199 - 208 2020
Closed polynomials and their applications for computations of kernels of monomial derivations Reviewed
Chiaki Kitazawa, Hideo Kojima, Takanori Nagamine
JOURNAL OF ALGEBRA 533 266 - 282 2019.9
Log del Pezzo surfaces of rank one containing the affine plane Reviewed
Hideo Kojima, Takeshi Takahashi
Nihonkai Mathematical Journal 29 ( 2 ) 77 - 130 2018.12
Rational unicuspidal curves on Q-homology projective planes whose complements have logarithmic Kodaira dimension -∞ Reviewed
Hideo Kojima
Nihonkai Mathematical Journal 29 ( 1 ) 29 - 43 2018.6
Irrational open surfaces of non-negative logarithmic Kodaira dimension Reviewed
Kojima Hideo
ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS 75 189 - 206 2017
NOTES ON THE KERNELS OF LOCALLY FINITE HIGHER DERIVATIONS IN POLYNOMIAL RINGS Reviewed
Hideo Kojima
COMMUNICATIONS IN ALGEBRA 44 ( 5 ) 1924 - 1930 2016
Closed polynomials in polynomial rings over integral domains Reviewed
Hideo Kojima, Takanori Nagamine
JOURNAL OF PURE AND APPLIED ALGEBRA 219 ( 12 ) 5493 - 5499 2015.12
CLOSED POLYNOMIALS IN POLYNOMIAL RINGS OVER UNIQUE FACTORIZATION DOMAINS Reviewed
Masaya Kato, Hideo Kojima
COMMUNICATIONS IN ALGEBRA 43 ( 5 ) 1935 - 1938 2015
Normal log canonical del Pezzo surfaces of rank one with unique singular points Reviewed
Hideo Kojima
Nihonkai Mathematical Journal 25 ( 2 ) 105 - 118 2014.12
LOCALLY FINITE ITERATIVE HIGHER DERIVATIONS ON k[x, y] Reviewed
Hideo Kojima
COLLOQUIUM MATHEMATICUM 137 ( 2 ) 215 - 220 2014
Supplement to "Normal del Pezzo surfaces of rank one with log canonical singularities" by H. Kojima and T. Takahashi [J. Algebra 360 (2012) 53-70] Reviewed
Hideo Kojima
JOURNAL OF ALGEBRA 377 312 - 316 2013.3
Open algebraic surfaces of logarithmic Kodaira dimension one Reviewed
Hideo Kojima
AFFINE ALGEBRAIC GEOMETRY 135 - 159 2013
Normal del Pezzo surfaces of rank one with log canonical singularities Reviewed
Hideo Kojima, Takeshi Takahashi
JOURNAL OF ALGEBRA 360 53 - 70 2012.6
Normal affine surfaces with non-positive Euler characteristic Reviewed
Hideo Kojima
Saitama Mathematical Journal 29 65 - 77 2012
OPEN ALGEBRAIC SURFACES WITH (kappa)over-bar = (p)over-bar(g)=0 AND (P)over-bar(2) > 0 Reviewed
Hideo Kojima
OSAKA JOURNAL OF MATHEMATICS 48 ( 4 ) 1063 - 1084 2011.12
On the kernels of some higher derivations in polynomial rings Reviewed
Hideo Kojima
JOURNAL OF PURE AND APPLIED ALGEBRA 215 ( 10 ) 2512 - 2514 2011.10
KERNELS OF HIGHER DERIVATIONS IN R[x, y] Reviewed
Hideo Kojima, Norihiro Wada
COMMUNICATIONS IN ALGEBRA 39 ( 5 ) 1577 - 1582 2011
AN ALGORITHM FOR COMPUTING THE KERNEL OF A LOCALLY FINITE HIGHER DERIVATION UP TO A CERTAIN DEGREE Reviewed
Yuki Ito, Hideo Kojima
COLLOQUIUM MATHEMATICUM 122 ( 1 ) 21 - 31 2011
Notes on minimal compactifications of the affine plane Reviewed
Hideo Kojima, Takeshi Takahashi
ANNALI DI MATEMATICA PURA ED APPLICATA 188 ( 1 ) 153 - 169 2009.1
Remarks on numerically positive line bundles on normal surfaces Reviewed
Erika Emura, Hideo Kojima
Contributions to Algebra and Geometry 39 ( 5 ) 1577 - 1582 2009
Affine lines on Q-homology planes with logarithmic kodaira dimension -infinity (vol 13, pg 1, 2008) Reviewed
Takashi Kishimoto, Hideo Kojima
TRANSFORMATION GROUPS 13 ( 1 ) 211 - 213 2008.3
Correction to: "Affine lines on Q -homology planes with logarithmic Kodaira dimension −∞ '' [Transform. Groups 11 (2006), no. 4, 659–672] Reviewed
Hideo Kojima, Takashi Kishimoto
Transformation Groups 13 ( 1 ) 211 - 213 2008
Logarithmic plurigenera of smooth affine surfaces with finite Picard groups Reviewed
Hideo Kojima
COMMENTARII MATHEMATICI HELVETICI 83 ( 3 ) 547 - 571 2008
On the logarithmic bigenera of some affine surfaces Reviewed
Hideo Kojima
Affine algebraic geometry, Osaka Univ. Press, Osaka, 2007 257 - 273 2007
Affine lines on ℚ-homology planes with logarithmic Kodaira dimension -∞ Reviewed
Takashi Kishimoto, Hideo Kojima
Transformation Groups 11 ( 4 ) 659 - 672 2006.12
Reducible curves on rational surfaces Reviewed
Hideo Kojima, Takeshi Takahashi
Tokyo Journal of Mathematics 29 ( 2 ) 301 - 317 2006
On the logarithmic plurigenera of complements of plane curves Reviewed
H Kojima
MATHEMATISCHE ANNALEN 332 ( 1 ) 1 - 15 2005.5
Notes on minimal normal compactifications of C 2 /G Reviewed
Hideo Kojima
Nihonkai Mathematical Journal 15 ( 2 ) 127 - 136 2004.12
Rank one log del Pezzo surfaces of index two Reviewed
H Kojima
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 43 ( 1 ) 101 - 123 2003.6
A note on Sakai's theorem concerning polarized normal surfaces Reviewed
H Kojima
ARCHIV DER MATHEMATIK 80 ( 3 ) 239 - 244 2003.3
Algebraic compactifications of some affine surfaces Reviewed
H Kojima
ALGEBRA COLLOQUIUM 9 ( 4 ) 417 - 425 2002.12
Structure of affine surfaces P-2-B with (kappa)over-bar <= 1 Reviewed
H Kojima
JOURNAL OF ALGEBRA 253 ( 1 ) 100 - 111 2002.7
Minimal singular compactifications of the affine plane Reviewed
Hideo Kojima
Nihonkai Mathematical Journal 12 ( 2 ) 165 - 195 2001.12
On normal surfaces with strictly nef anticanonical divisors Reviewed
H Kojima
ARCHIV DER MATHEMATIK 77 ( 6 ) 517 - 521 2001.12
Open surfaces of logarithmic Kodaira dimension zero in arbitrary characteristic Reviewed
H Kojima
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 53 ( 4 ) 933 - 955 2001.10
Complements of plane curves with logarithmic Kodaira dimension zero Reviewed
H Kojima
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 52 ( 4 ) 793 - 806 2000.10
On Veys' conjecture Reviewed
H Kojima
INDAGATIONES MATHEMATICAE-NEW SERIES 10 ( 4 ) 537 - 538 1999.12
Open rational surfaces with logarithmic Kodaira dimension zero Reviewed
H Kojima
INTERNATIONAL JOURNAL OF MATHEMATICS 10 ( 5 ) 619 - 642 1999.8
Logarithmic del Pezzo surfaces of rank one with unique singular points Reviewed
Hideo Kojima
Japanese Journal of Mathematics 25 ( 2 ) 343 - 375 1999
Almost minimal embeddings of quotient singular points into rational surfaces Reviewed
H Kojima
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 38 ( 1 ) 77 - 99 1998.2
On Roberts' counterexample to the fourteenth problem of Hilbert Reviewed
H Kojima, M Miyanishi
JOURNAL OF PURE AND APPLIED ALGEBRA 122 ( 3 ) 277 - 292 1997.11
Algebraic varieties and automorphism groups
増田 佳代, 岸本 崇, 小島 秀雄, 宮西 正宜, Zaidenberg Mikhail
Mathematical Society of Japan 2017 （ ISBN:9784864970488 ）
要点明解線形数学
印南 信宏, 田中 環, 小島 秀雄, 星 明考
培風館 2016 （ ISBN:9784563012007 ）
Affine algebraic geometry : proceedings of the conference, Osaka, Japan, 3-6 March 2011
増田 佳代, 小島 秀雄, 岸本 崇, Conference on Affine Algebraic Geometry
World Scientific 2013 （ ISBN:9789814436694 ）
要点明解線形数学
吉原 久夫, 印南 信宏, 田中 環, 小島 秀雄
培風館 2006 （ ISBN:4563003611 ）
Smooth factorial affine surfaces of logarithmic Kodaira dimension zero with trivial units
Gene Freudenburg, Hideo Kojima, Takanori Nagamine
2019.10
Closed polynomials and their applications for computations of kernels of monomial derivations
Chiaki Kitazawa, Hideo Kojima, Takanrori Nagamine
2018.7
Some results on open algebraic surfaces of logarithmic Kodaira dimension zero Invited
Hideo Kojima
Kinosaki Algebraic Geometry Symposium 2019 2109.10
Rational open surfaces of log Kodaira dimension ≤ 1 Invited
Hideo Kojima
RIMS Symposia: Rational points on higher dimensional varieties 2019.12
Closed polynomials over integral domains
Hideo Kojima
The 1st Asian International Conference in Science (UTAR, NU, and CYCU) 2019.11
Logarithmic plurigenera of smooth affine surfaces Invited International conference
Hideo Kojima
Algebraic surfaces and related topics 2019.8
Normal log canonical del Pezzo surfaces of rank one
Hideo Kojima
2018.9
Normal log canonical del Pezzo surfaces of rank one Invited International conference
Hideo Kojima
Algebraic Geometry – Mariusz Koras in memoriam 2018.5
Complements of plane curves with logarithmic Kodaira dimension zero Invited International conference
Hideo Kojima
Polynomial Rings and Affine Algebraic Geometry 2018.2
Qホモロジー射影平面上の単尖点有理曲線について
小島秀雄
代数学ミニシンポジウム2017 2017.9
対数的小平次元がゼロとなる開代数曲面について Invited
小島秀雄
第62回代数学シンポジウム 2017.9
Normal del Pezzo surfaces of rank one with log canonical singular points Invited International conference
Hideo Kojima
The 15th Affine Algebraic Geometry Meeting 2017.3
Some results on open algebraic surfaces of log Kodaira dimension zero Invited
Hideo Kojima
2017.1
Some results on open algebraic surfaces of log Kodaira dimension zero Invited
Hideo Kojima
Workshop on Galois point and related topics 2016.6
Some results on open algebraic surfaces of non-negative logarithmic Kodaira dimension Invited International conference
Hideo Kojima
KIAS-TIFR-ICTS Joint Advanced School of Algebraic Surfaces and Related Topics 2015.11
Structure and logarithmic plurigenera of normal affine surfaces
Grant number：21K03200
2021.4 - 2024.3
System name：Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
開代数曲面と正規代数曲面の研究
2017.4 - 2020.3
System name：科学研究費 基盤研究（C)
Awarding organization：日本学術振興会
小島秀雄
Authorship：Principal investigator Grant type：Competitive
Structural analysis of the automorphism group of a polynomial ring and its application
Grant number：15K04826
2015.4 - 2019.3
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
Kuroda Shigeru, Kojima Hideo, Tanimoto Ryuji
Grant amount：\4810000 （ Direct Cost: \3700000 、 Indirect Cost：\1110000 ）
A polynomial is an indispensable concept in mathematics, and the ring formed by them is a basic object in modern algebra. However, there remain various difficult open problems concerning polynomial rings, which have been studied worldwide. In the study of such problems, automorphisms of a polynomial ring and the ring formed by them play important roles. In this research, we investigated subgroups of the automorphism group of a polynomial ring and related objects, and obtained various new information about them. We also succeeded in constructing a new counterexample to Hilbert's fourteenth problem by using the knowledge of polynomial automorphisms.
対数的小平次元が1以下となる開代数曲面と正規代数曲面の構造解明
2014.4 - 2017.3
System name：科学研究費 基盤研究（C)
Awarding organization：日本学術振興会
小島秀雄
Authorship：Principal investigator Grant type：Competitive
高次元アフィン代数多様体の構造とユニポテント幾何
2012.4 - 2017.3
System name：科学研究費 基盤研究 (B)
Awarding organization：日本学術振興会
宮西正宜
Grant type：Competitive
Study on Glois embedding of surface of non-general type
Grant number：24540036
2012.4 - 2016.3
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
Yoshihara Hisao, TOKUNAGA Hiroo, KONDO Shigeyuki, KONNO Kazuhiro, KOJIMA Hideo
Grant amount：\5070000 （ Direct Cost: \3900000 、 Indirect Cost：\1170000 ）
We have studied Galois points for plane curves and some hypersurfaces, after that we have generalized the concept of it and defined Galois embedding of algebraic varieties. Here we study on the Galois embeddings of conclete algebraic varieties. For elliptic curve we embedd it by complete linear system and study the arrangement of Galois lines. For algebraic surface of non-general type we consider if there exists the Galois embedding, in paticular bi-elliptic surface has no Galois embedding. In case some algebraic variety has no Galois embedding, we consider the Galois closure variety, especially we take such variety as smooth cubic.
アフィン代数多様体の構造解明とその応用
2011.4 - 2014.3
System name：科学研究費 若手研究（B）
Awarding organization：日本学術振興会
小島秀雄
Authorship：Principal investigator Grant type：Competitive
Study on the various structures of algebraic surfaces by Galois embeddings
Grant number：21540033
2009 - 2011
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
YOSHIHARA Hisao, TOKUNAGA Hiroo, KONDO Shigeyuki, KONNO Kazuhiro, KOJIMA Hideo
Grant amount：\4420000 （ Direct Cost: \3400000 、 Indirect Cost：\1020000 ）
Suppose an abelian surface A has a Galois embedding. Then, what is the least number n such that A is embedded into the projective n-space? The answer is 7 and moreover such an abelian surface is isomorphic to E×E, where E is an elliptic curve. We considered also the questions for curves. For the plane curve with genus 1 we found the Galois group when it has a Galois point, for the space elliptic curve we found it has always Galois lines.
開代数曲面の分類とその応用
2008.4 - 2011.3
System name：科研費 若手研究（B）
Awarding organization：日本学術振興会
小島秀雄
Authorship：Principal investigator Grant type：Competitive
Study on the Galois embeddings of K3 surfaces
Grant number：19540016
2007 - 2008
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
YOSHIHARA Hisao, KONDO Shigeyuki, KONNO Kazuhiro, TOKUNAGA Hiroo, SEKIGAWA Kouei, TAKATA Toshie, KOJIMA Hideo
Grant amount：\4420000 （ Direct Cost: \3400000 、 Indirect Cost：\1020000 ）
対数的小平次元が非負となる開代数曲面に関する研究
2005.4 - 2008.3
System name：科研費 若手研究（B）
Awarding organization：日本学術振興会
小島秀雄
Authorship：Principal investigator Grant type：Competitive
Complex analysis of residues currents and computational algebraic analysis
Grant number：17540150
2005 - 2007
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
TAJIMA Shinichi, YOSHIHARA Hisao, KOJIMA Hideo, TAKEUCHI Kiyoshi, NAKAMURA Yayoi
Grant amount：\3630000 （ Direct Cost: \3300000 、 Indirect Cost：\330000 ）
Hypersurface isolated singularities and associated residues currents are considered in the context of algebraic analysis.
・An efficient algorithm that computes bases of a dual vector space of a Milnor algebra associated to a singular point has been constructed.
・A new method for computing standard bases of a zero-dimensional ideal in a power series ring has been proposed. The key ingredient in this approach is the concept of algebraic local cohomology and the Grothendieck local duality.
・An algorithm for construction holonomic D-modules attached to hypersurface isolated singularities has been derived and the structure of these holonomic D-modules have been investigated.
・An algorithmic method for computing homological indices of holomorphic vector fields has been proposed.
Study on Galois embeddings of algebraic surfaces
Grant number：17540018
2005 - 2006
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
YOSHIHARA Hisao, OHBUCHI Akira, KONNO Kazuhiro, TOKUNAGA Hiro-o, TAKATA Toshie, KOJIMA Hideo
Grant amount：\3100000 （ Direct Cost: \3100000 ）
We have studied the Galois embedding of algebraic curves and surfaces, especially rational curves and abelian surfaces.
In the case of abelian surfaces we have obtained all the possible types of the Galois groups which can appear as the covering transformation groups. Moreove we listed a lot of examples of abelian surfaces with given Galois groups of embeddings. In particular we have shown that such abelian surfaces are isogenous to the products of two elliptic curves. On the other hand, we have found the least number N such that abelinan surfaces have the embeddings into PAN. Concernig this study we have studied for singular plane rational curves. We determined all possible type of Galois group, i.e., they are cyclic, dihedral, A_4, S_4 and S_4 and have shown the examples with such Galois groups. Connecting with this research, we have studied if the Galois automorphism can be extended to a birational transformation or not. As a result we have obtained that there are a lot of rational curves such that the autopmorphism cannot be extended to birational transformation, for example we found rational curve with only nodes as singularities and the degree is bigger than 7 with outer Galois point.
Research on space curve and its Galois line
Grant number：15540016
2003 - 2004
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
YOSHIHARA Hisao, HOMMA Masaaki, OHBUCHI Akira, AKIYAMA Shigeki, TOKUNAGA Hiro-o, KOJIMA Hideo
Grant amount：\3400000 （ Direct Cost: \3400000 ）
Let C, L and L_0 be a curve and lines in the projective three space P^3 respectively. Consider a projection p_L:P^3--→L_0 with center L, where L and L_0 have no intersection. Restricting p_L to C, we get a morphism p_L|C:C--→L_0 and an extension of fields:k(C)/k(L_0). We have studied the algebraic structure of the extension and the geometric one of C. If this extension is Galois, then we call L a Galois line. In particular we have studied the structure of the Galois group and the number of Galois lines for some special cases, for example, we obtained that the number is at most one if the degree of C is a prime number. After completed the first aims, we started to study the following research : Let V be a smooth projective variety and D be a very ample divisor. Let f:V--→ P^N be the projective embedding associated with |D|. Consider a projection p with a center W such that dim W=N-n-1 and f(V) does not meet W. Ifp f:V--→ P^n induces a Galois extension of function fields, then (V,D) is said to define a Galois embedding. Under this condition we have shown several properties of the Galois group of the covering. After general discussions we study the subject for abelian surfaces in detail.
Algebraic Analysis of residue currents and an algorithm for computing Noether operators
Grant number：15540159
2003 - 2004
System name：Grants-in-Aid for Scientific Research
Research category：Grant-in-Aid for Scientific Research (C)
Awarding organization：Japan Society for the Promotion of Science
TAJIMA Shinichi, OAKU Toshinori, KOJIMA Hidoe
Grant amount：\2400000 （ Direct Cost: \2400000 ）
We have investigated Noether operators attached to a zero-dimensional primary ideal, the associated algebraic local cohomology and Grothendieck duality in the context of algebraic analysis. We have studies the structure of holonomic D-modules attached to a quasi-Homogeneous isolated singularity.
1.A concept of Noether operators attaced to a zero-dimensional primary ideal is introduced. Their fundamental properties are clarified. An algorithm that compute Noether operator basis. are derived.
2.An algorithm for computing holonomic D-module that leads zero-dimensional algebraic local cohomology class is constructed.
3.Hermite-Jacobi reproducing kernel is investigated. A method for computing dual basis w.r.t. Grothendieck duality is constructed.
4.A new method that compute Grothendieck local residue is derived.
5.Semi quasi-homogeneous isolated singularities with inner modarity (at most) four are considered. Holonomic D-modules attached to these singularities are investigated. The factthat he multiplicity of such holonomic system is equal to the difference of Milnor number and Tjurina namber has proved by case by case computation.
Besides, we have investigated Noether operator attaced to higher dimensional primary ideal and residue currents.
正規アフィン代数曲面の構造に関する研究
2002.4 - 2005.3
System name：科研費 若手研究（B）
Awarding organization：日本学術振興会
小島秀雄
Authorship：Principal investigator Grant type：Competitive
商特異点を持つ代数曲面と多項式環の不変部分環について
Grant number：97J05048
1998 - 1999
System name：科学研究費助成事業
Research category：特別研究員奨励費
Awarding organization：日本学術振興会
小島 秀雄
Grant amount：\1800000 （ Direct Cost: \1800000 ）
数学の世界
地域創生科学演習
先端科学技術総論
理学スタディ・スキルズ
専門力アクティブ・ラーニング
先端科学技術総論
代数系IA
代数入門A
数学基礎B2
代数入門B
代数系IB
数学基礎B1
集合と写像
自然科学総論Ⅰ
数理科学研究発表〔外部発表〕(数学)
くらしと数理
数学基礎B
数理科学研究発表演習〔中間発表〕(数学)
数理科学文献詳読Ⅰ(数学)
数理物質科学特定研究Ⅰ(数学)
数理科学セミナーⅠ(数学)
代数幾何学
代数構造特論
数学講究
情報基礎数学I
代数系I
代数入門
代数系II
数理科学文献詳読Ⅱ(数学)
数理科学セミナーⅡ(数学)
数理物質科学特定研究Ⅱ(数学)
応用数理C
情報工学特定研究Ⅱ
自然科学総論Ⅲ
応用数理B
工学リテラシー入門(情報工学科)
情報工学演習
アドバンススキルズ
ベーシックスキルズ
構造数理
基礎数理A II
応用代数学特論
アフィン代数幾何学
基礎数理A I
基礎数理BII
基礎数理BI
