Graduate School of Science and Technology Fundamental Sciences Professor
Faculty of Science Department of Science Professor
Updated on 2024/11/07
Ph.D. ( 2005.3 Waseda University )
Number Theory
Algebra
代数幾何
整数論
Arithmetic Geometry
Algebraic Geometry
数論幾何
Natural Science / Algebra
Niigata University Mathematical Science, Fundamental Sciences, Graduate School of Science and Technology Chair
2023.4
Niigata University Department of Mathematics Vice Chair
2023.4 - 2024.3
Niigata University Faculty of Science Department of Science Chair
2022.4 - 2023.3
Niigata University Department of Mathematics Professor
2021.8
Country:Japan
Niigata University Department of Mathematics Associate Professor
2017.4 - 2021.8
Country:Japan
Niigata University Department of Mathematics Associate Professor
2013.4 - 2017.3
Country:Japan
Rikkyo University Department of Mathematics Assistant Professor
2008.4 - 2013.3
Waseda University Department of Mathematics Research Associate
2006.4 - 2008.3
Japan Society for the Promotion of Science Research Fellow (PD)
2005.4 - 2006.3
University of Regensburg Guest Researcher
2004.9 - 2005.8
Japan Society for the Promotion of Science Reseach Fellow (DC2)
2004.4 - 2005.3
Niigata University Fundamental Sciences, Institute of Science and Technology, Academic Assembly Professor
2021.8
Niigata University Graduate School of Science and Technology Fundamental Sciences Professor
2021.8
Niigata University Faculty of Science Department of Science Professor
2021.8
Niigata University Faculty of Science Department of Science Associate Professor
2017.4 - 2021.8
Niigata University Graduate School of Science and Technology Fundamental Sciences Associate Professor
2013.4 - 2021.8
Niigata University Faculty of Science Department of Mathematics Associate Professor
2013.4 - 2017.3
Waseda University Department of Mathematical Sciences Ph.D. (Doctor of Science)
2003.4 - 2005.3
Country: Japan
Waseda University Department of Mathematical Sciences Master of Science
2001.4 - 2003.3
Waseda University Department of Mathematics Bachelor of Science
1997.4 - 2001.3
Country: Japan
The Mathematical Society of Japan
Mathematical Society of Japan Local Delegate
2023.3 - 2024.2
Rationality problem for norm one tori for dihedral extensions Reviewed
Akinari Hoshi, Aiichi Yamasaki
Journal of Algebra 640 368 - 384 2024.2
Rationality Problem of Two-Dimensional Quasi-Monomial Group Actions Reviewed
Akinari Hoshi, Hidetaka Kitayama
Transformation Groups 29 1029 - 1064 2024.2
Multiplicative Invariant Fields of Dimension ≤ 6 Reviewed International coauthorship
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Memoirs of the American Mathematical Society 283 ( 1403 ) 1 - 137 2023.3
Norm one tori and Hasse norm principle, II: Degree 12 case Reviewed
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
Journal of Number Theory 244 84 - 110 2023.3
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods Reviewed
Akinari Hoshi, Kazuki Kanai
Finite Fields and Their Applications 84 ( 102101 ) 1 - 26 2022.12
Norm one Tori and Hasse norm principle Reviewed
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
Mathematics of Computation 91 ( 337 ) 2431 - 2458 2022.9
A two-dimensional rationality problem and intersections of two quadrics Reviewed International coauthorship
Akinari Hoshi, Ming-Chang Kang, Hidetaka Kitayama, Aiichi Yamasaki
manuscripta mathematica 168 ( 3-4 ) 423 - 437 2022.7
Rationality problem for norm one tori Reviewed
Akinari Hoshi, Aiichi Yamasaki
Israel Journal of Mathematics 241 ( 2 ) 849 - 867 2021.3
On Lecacheux’s family of quintic polynomials Reviewed
Akinari Hoshi, Masakazu Koshiba
Proceedings of the Japan Academy, Series A, Mathematical Sciences 97 ( 1 ) 1 - 6 2021.1
Noether’s problem and rationality problem for multiplicative invariant fields: a survey Reviewed
Akinari Hoshi
RIMS Kôkyûroku Bessatsu B77 29 - 53 2020.4
Three-dimensional purely quasimonomial actions Reviewed
Akinari Hoshi, Hidetaka Kitayama
Kyoto J. Math. 60 ( 1 ) 335 - 377 2020.4
Rationality problem for norm one tori in small dimensions Reviewed
Sumito Hasegawa, Akinari Hoshi, Aiichi Yamasaki
Math. Comp. 89 ( 322 ) 923 - 940 2020.3
Degree three unramified cohomology groups and Noether's problem for groups of order 243 Reviewed International coauthorship
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
J. Algebra 544 262 - 301 2020.2
Rationality problems for relation modules of dihedral groups Reviewed International coauthorship
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
J. Algebra 530 368 - 401 2019.7
Rationality Problem for Algebraic Tori Reviewed
Akinari Hoshi, Aiichi Yamasaki
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 248 ( 1176 ) 1 - 215 2017.7
Complete solutions to a family of Thue equations of degree 12 Reviewed
Akinari Hoshi
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 29 ( 2 ) 549 - 568 2017
Degree three unramified cohomology groups Reviewed International coauthorship
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
JOURNAL OF ALGEBRA 458 120 - 133 2016.7
Birational classification of fields of invariants for groups of order 128 Reviewed
Akinari Hoshi
JOURNAL OF ALGEBRA 445 394 - 432 2016.1
Noether's problem for groups of order 243 Reviewed International coauthorship
Huah Chu, Akinari Hoshi, Shou-Jen Hu, Ming-chang Kang
JOURNAL OF ALGEBRA 442 233 - 259 2015.11
On Noether's problem for cyclic groups of prime order Reviewed
Akinari Hoshi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 91 ( 3 ) 39 - 44 2015.3
Rationality problem for quasi-monomial actions Reviewed
Akinari Hoshi
RIMS Kôkyûroku Bessatsu B51 203 - 227 2014.10
On the simplest quartic fields and related Thue equations Reviewed
Akinari Hoshi
Computer Mathematics 67 - 85 2014.10
Quasi-monomial actions and some 4-dimensional rationality problems Reviewed International coauthorship
Akinari Hoshi, Ming-chang Kang, Hidetaka Kitayama
JOURNAL OF ALGEBRA 403 363 - 400 2014.2
NOETHER'S PROBLEM AND UNRAMIFIED BRAUER GROUPS Reviewed International coauthorship
Akinari Hoshi, Ming-Chang Kang, Boris E. Kunyavskii
ASIAN JOURNAL OF MATHEMATICS 17 ( 4 ) 689 - 713 2013.12
On the simplest sextic fields and related Thue equations Reviewed
Akinari Hoshi
Functiones et Approximatio Commentarii Mathematici 47 ( 1 ) 35 - 49 2012.9
On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields Reviewed
Akinari Hoshi
JOURNAL OF NUMBER THEORY 131 ( 11 ) 2135 - 2150 2011.11
Rationality problem of three-dimensional monomial group actions Reviewed
Akinari Hoshi, Hidetaka Kitayama, Aiichi Yamasaki
JOURNAL OF ALGEBRA 341 ( 1 ) 45 - 108 2011.9
TWISTED SYMMETRIC GROUP ACTIONS Reviewed International coauthorship
Akinari Hoshi, Ming-chang Kang
PACIFIC JOURNAL OF MATHEMATICS 248 ( 2 ) 285 - 304 2010.12
ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS Reviewed
Akinari Hoshi, Katsuya Miyake
INTERNATIONAL JOURNAL OF NUMBER THEORY 6 ( 5 ) 1047 - 1081 2010.8
A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations Reviewed
Akinari Hoshi, Katsuya Miyake
Interdiscip. Inform. Sci., Special Section: Japan-Korea Joint Seminar on Number Theory and Related Topics 2008 16 ( 1 ) 45 - 54 2010.3
SOME DIOPHANTINE PROBLEMS ARISING FROM THE ISOMORPHISM PROBLEM OF GENERIC POLYNOMIALS Reviewed
Akinari Hoshi, Katsuya Miyake
NUMBER THEORY: DREAMING IN DREAMS 6 87 - 105 2009.11
On the field intersection problem of generic polynomials: a survey Reviewed
Akinari Hoshi, Katsuya Miyake
RIMS Kôkyûroku Bessatsu B12 231 - 247 2009.8
On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation Reviewed
Akinari Hoshi, Katsuya Miyake
Comment. Math. Univ. St. Pauli 58 ( 1 ) 51 - 86 2009.7
A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation Reviewed
Akinari Hoshi, Katsuya Miyake
Number Theory and Applications: Proceedings of the International Conferences on Number Theory and Cryptography, Hindustan Book Agency 65 - 104 2009.3
A rationality problem of some Cremona transformation Reviewed International coauthorship
Akinari Hoshi, Ming-chang Kang
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 84 ( 8 ) 133 - 137 2008.10
Rationality problem of three-dimensional purely monomial group actions: the last case Reviewed
Akinari Hoshi, Yuichi Rikuna
MATHEMATICS OF COMPUTATION 77 ( 263 ) 1823 - 1829 2008.7
Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the 8-cycle in $S_8$ and its subgroups Reviewed
Ki-ichiro Hashimoto, Akinari Hoshi, Yuichi Rikuna
MATHEMATICS OF COMPUTATION 77 ( 262 ) 1153 - 1183 2008.4
Tschirnhausen transformation of a cubic generic polynomial and a 2-dimensional involutive Cremona transformation Reviewed
Akinari Hoshi, Katsuya Miyake
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 83 ( 3 ) 21 - 26 2007.3
Explicit lifts of quintic Jacobi sums and period polynomials $\mathbf{F}_q$ Reviewed
Akinari Hoshi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 82 ( 7 ) 87 - 92 2006.9
Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations Reviewed
Ki-ichiro Hashimoto, Akinari Hoshi
MATHEMATICS OF COMPUTATION 74 ( 251 ) 1519 - 1530 2005.7
Geometric generalization of gaussian period relations with application to noether’s problem for meta-cyclic groups Reviewed
Ki-ichiro Hashimoto, Akinari Hoshi
Tokyo Journal of Mathematics 28 ( 1 ) 13 - 32 2005.6
Noether's problem for some meta-abelian groups of small degree Reviewed
Akinari Hoshi
Proceedings of the Japan Academy Series A: Mathematical Sciences 81 ( 1 ) 1 - 6 2005.1
Multiplicative quadratic forms on algebraic varieties Reviewed
Akinari Hoshi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 79 ( 4 ) 71 - 75 2003.4
要点明解 線形数学 三訂版
田中環, 小島秀雄, 星明考, 折田龍馬, 印南信宏, 吉原久夫( Role: Joint author)
培風館 2022.4 ( ISBN:9784563012410 )
An Introduction to Group Theory (Japanese)
Akinari Hoshi( Role: Sole author)
NIPPON HYORON SHA CO.,LTD. 2016.3 ( ISBN:9784535788091 )
要点明解 線形数学 改訂版
印南信宏, 田中環, 小島秀雄, 星明考( Role: Joint author)
培風館 2016.2 ( ISBN:9784563012007 )
Hasse norm principle for $M_{11}$ extensions
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2023.3 Chuo University
Birational classification for algebraic tori (I)
Akinari Hoshi, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2023.3 Chuo University
Birational classification for algebraic tori Invited
Akinari Hoshi
Yufuin Workshop on Algebraic Geometry (Prof. Masamichi Kuroda, Taketo Shirane, Kentaro Mitsui and Kazuhiko Yamaki) 2023.2 Nippon Bunri University
Hasse norm principle for $M_{11}$ extensions Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2022.11 Niigata Univ. + Zoom
Birational classification for algebraic tori (III) Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2022.5 Niigata Univ. + Zoom
Birational classification for algebraic tori (I) Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2022.4 Niigata Univ. + Zoom
Rationality problem for fields of invariants Invited
Akinari Hoshi
Colloquium of Dept. of Math., Meijo Univ. (Prof. Yoshihiro Onishi and Tetsuya Uematsu) 2021.12 Zoom (Meijo)
Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods
Akinari Hoshi, Kazuki Kanai
Autumn Meeting of the Mathematical Society of Japan 2021.9 Zoom (Chiba)
Rationality problem for fields of invariants Invited
Akinari Hoshi
Homotopic and Geometric Galois Theory, (Prof. Benjamin Collas, Pierre Debes, Hiroaki Nakamura and Jakob Stix) 2021.3 Zoom (Oberwolfach)
Rationality problem for fields of invariants Invited
Akinari Hoshi
Degenerations and models of algebraic varieties and related topics (Prof. Kentaro Mitsui, Ryo Ohkawa, Masa-Hiko Saito and Taro Sano) 2021.2 Zoom (Kobe)
Rationality problem for fields of invariants Invited
Akinari Hoshi
The 18th Symposium on Algebraic Curves (Prof. Akira Ohbuchi) 2020.12 Zoom (Tokushima)
Norm one tori and Hasse norm principle
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2020.3 Nihon Univ.
Norm one tori and Hasse norm principle, II
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2020.3 Nihon University
Degree three unramified cohomology groups and Noether's problem for groups of order 243 Invited
Akinari Hoshi
The 15th Polynomial Ring Theory Seminar (Prof. Shigeru Kuroda and Ryuji Tanimoto) 2020.2 Shizuoka Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
The 41st Symposium on Commutative Algebra (Prof. Tokuji Araya, Mitsuyasu Hashimoto and Futoshi Hayasaka) 2019.11 Kurashiki Seaside Hotel
Norm one tori and Hasse norm principle (III) Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2019.11 Niigata Univ.
Degree three unramified cohomology groups and Noether's problem for groups of order 243 Invited
Akinari Hoshi
Geometry of Projective Varieties and Related Topics 2019 (Prof. Yoshiaki Fukuma, Hideo Kojima and Takeshi Harui) 2019.11 Kochi Univ.
Norm one tori and Hasse norm principle (II) Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2019.10 Niigata Univ.
Degree three unramified cohomology groups and Noether's problem Invited
Akinari Hoshi
The 27th Summer School on Number Theory (Prof. Toru Komatsu and Hidetaka Kitayama) 2019.9 Tohoku University of Community Service and Science
Quasi-monomial actions and rationality problem Invited
Akinari Hoshi
The 27th Summer School on Number Theory (Prof. Toru Komatsu and Hidetaka Kitayama) 2019.9 Tohoku University of Community Service and Science
Degree three unramified cohomology groups and Noether's problem for groups of order 243 Invited
Akinari Hoshi
NCTS Seminar on Algebra (Prof. Ming-chang Kang) 2019.8 National Taiwan Univ.
Degree three unramified cohomology groups and Noether's problem for groups of order 243 Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Takeshi Miura and Takahiro Hayata) 2019.6 Yamagata Univ.
Rationality problem for algebraic tori Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2019.6 Niigata Univ.
Rationality problem for norm one tori, II
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2019.3 Tokyo Institute of Technology
Noether's problem for $N\rtimes A_6$
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2019.3 Tokyo Institute of Technology
Rationality problem for norm one tori
Akinari Hoshi, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2019.3 Tokyo Institute of Technology
Degree three unramified cohomology groups and Noether's problem for groups of order 243 Invited
Akinari Hoshi
Seminaire "Varietes Rationnelles" (Prof. Jean-Louis Colliot-Thelene, Cyril Demarche and Mathieu Florence) 2018.6 Universite Pierre-et-Marie-Curie (Paris VI)
Rationality problem for fields of invariants and unramified cohomology groups Invited
Akinari Hoshi
International Workshop on Algebra (Prof. Jungkai Alfred Chen and Chia-Fu Yu) 2018.6 National Taiwan Univ.
Degree three unramified cohomology groups and Noether's problem for groups of order 243 (II) Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2018.5 Niigata Univ.
Computation of degree three unramified cohomology groups using GAP
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2018.3 The University of Tokyo
Degree three unramified cohomology groups and Noether's problem for groups of order 243
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2018.3 The University of Tokyo
Degree three unramified cohomology groups and Noether's problem for groups of order 243 Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2017.12 Niigata Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Kinosaki algebraic geometry symposium 2017 (Prof. Taro Fujisawa, Takuzo Okada and Taro Sano) 2017.10 Kinosaki International Arts Center
Unramified Brauer group of multiplicative invariant fields of dimension $\le 6$ (I) Invited
Akinari Hoshi
NCTS Seminar on Algebra (Prof. Ming-chang Kang) 2017.9 National Taiwan Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Kagurazaka Algebra Seminar (Prof. Masanari Kida) 2017.7 Tokyo University of Science
Rationality problem for fields of invariants Invited
Akinari Hoshi
Algebra Seminar (Prof. Masanobu Kaneko, Shinichi Kobayashi and Shun'ichi Yokoyama) 2017.7 Kyushu Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Takeshi Miura and Takahiro Hayata) 2017.7 Yamagata Univ.
Cubic Thue equations and simplest cubic fields Invited
Akinari Hoshi
Journees Algophantiennes Bordelaises 2018 (Prof. Yuri Bilu) 2017.6 Universite Bordeaux
Rationality problem for fields of invariants Invited
Akinari Hoshi
Algebraic Geometry Seminar (Prof. Takehiko Yasuda) 2017.5 Osaka Univ.
Multiplicative invariant fields of dimension $n \le 6$
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2017.3 Tokyo Metropolitan Univ.
Relation modules of dihedral groups
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2017.3 Tokyo Metropolitan Univ.
Degree three unramifed cohomology groups (II)
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2017.3 Tokyo Metropolitan Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
The 15th Affine Algebraic Geometry Meeting (Prof. Hideo Kojima, Takashi Kishimoto, Adrien Dubouloz and Kayo Masuda) 2017.3 Kwansei Gakuin Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2016.12 Niigata Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Workshop: Algebraic Number Theory and Related Topics (Prof. Yasuo Ohno and Hiroshi Tsunogai) 2016.11 Kyoto Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Workshop: Researches on isometries from various viewpoints (Prof. Takeshi Miura) 2016.10 Kyoto Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Japan-Taiwan Joint conference on Number theory 2017 (Prof. Ming-Lun Hsieh and Masataka Chida) 2016.9 National Taiwan Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Matsue Seminar (Prof. Miho Aoki) 2016.7 Shimane Univ.
On the simplest cubic fields and related Thue equations Invited
Akinari Hoshi
Matsue Seminar (Prof. Miho Aoki) 2016.7 Shimane Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Workshop: Rationality and selfmaps of algebraic varieties (Prof. Shigeru Mukai and Keiji Oguiso) 2016.7 Kyoto Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Aichi Number Theory Seminar (Prof. Yasuhiro Kishi and Yasushi Mizusawa) 2016.7 Aichi Institute of Technology, Motoyama Campus
On the simplest cubic fields and related Thue equations Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Takeshi Miura and Takahiro Hayata) 2016.7 Yamagata Univ.
Birational classification of fields of invariants for groups of order 128 Invited
Akinari Hoshi
Workshop on Galois point and related topics (Prof. Kei Miura, Takeshi Takahashi and Satoru Fukasawa) 2016.6 Niigata Univ., Satellite campus
Rationality problem for fields of invariants Invited
Akinari Hoshi
Colloquium of Dept. of Math. 2016.5 Tokyo University of Science
Three-dimensional purely quasi-monomial actions
Akinari Hoshi, Hidetaka Kitayama
Spring Meeting of the Mathematical Society of Japan 2016.3 Tsukuba Univ.
Degree three unramified cohomology groups
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2016.3 Tsukuba Univ.
Bravais group of dimension $n \le 6$ and corresponding quadratic forms
Akinari Hoshi, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2016.3 Tsukuba Univ.
On Noether's problem for cyclic groups of prime order
Akinari Hoshi
Spring Meeting of the Mathematical Society of Japan 2016.3 Tsukuba Univ.
On the simplest number fields and related Thue equations Invited
Akinari Hoshi
Analytic Number Theory Seminar (Prof. Koji Matsumoto) 2015.12 Nagoya Univ.
Birational classification of fields of invariants for groups of order 128 Invited
Akinari Hoshi
The 11th workshop on algebraic surfaces at Akihabara (Prof. Kazuhiro Konno and Hiro-o Tokunaga) 2015.10 Tokyo Metropolitan Univ., Akihabara Satellite Campus
On Noether's problem for cyclic groups of prime order Invited
Akinari Hoshi
Wokshop: Towards new development of mathematics via computational algebra system (Prof. Shun'ichi Yokoyama, Manabu Oura, Masanari Kida and Akihiro Munemasa) 2015.9 Kyoto Univ.
On the simplest number fields and related Thue equations Invited
Akinari Hoshi
The 4th International Congress on Natural Sciences (ICNS2016) 2015.9 National Changhua Univ. of Education
On the simplest number fields and related Thue equations Invited
Akinari Hoshi
30th Journees Arithmetiques (JA2015) 2015.9 Univ. of Debrecen
Rationality problem for algebraic tori Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Takeshi Miura and Takahiro Hayata) 2015.6 Yamagata Univ.
Birational classification of fields of invariants for groups of order 128
Akinari Hoshi
Spring Meeting of the Mathematical Society of Japan 2015.3 Meiji Univ.
On the simplest cubic fields and related Thue equations Invited
Akinari Hoshi
Joint Seminar and Reseach Camp (JSRC2016) 2015.3 Niigata Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
New Developments in Algebraic Geometry (Prof. Yoshiaki Fukuma and Hideo Kojima) 2014.11 Kochi Univ.
Birational classification of fields of invariants for groups of order 128 Invited
Akinari Hoshi
New Developments in Algebraic Geometry (Prof. Caucher Birkar, Jungkai Alfred Chen, Wu-Yen Chuang and Jeng-Daw Yu) 2014.9 National Taiwan Univ.
Rationality problem for algebraic tori
Akinari Hoshi, Aiichi Yamasaki
SEOUL ICM 2015 2014.8 Coex
Rationality problem for fields of invariants Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Takeshi Miura and Takahiro Hayata) 2014.6 Yamagata Univ.
Class numbers and algebraic tori
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2014.3 Gakushuin Univ.
Rationality problem for fields of invariants Invited
Akinari Hoshi
Workshop on Galois point and related topics (Prof. Kei Miura, Takeshi Takahashi and Satoru Fukasawa), 2013.9 Yamagata Univ.
Noether's problem and unramified Brauer groups Invited
Akinari Hoshi
Nishi-Waseda Seminar on Number Theory (Prof. Yumiko Hironaka) 2013.9 Waseda Univ.
Rationality problem for fields of invariants: a survey Invited
Akinari Hoshi, Aiichi Yamasaki
One-day workshop of algebra (Prof. Ming-chang Kang) 2013.8 National Taiwan Univ.
Noether's problem and unramified Brauer groups (joint work with M. Kang and B.E. Kunyavskii) Invited
Akinari Hoshi
Algebraic Geometry Seminar (Prof. Shigeyuki Kondo and Shohei Ma) 2013.6 Nagoya Univ.
Krull-Schmidt theorem fails for dimension 5
Akinari Hoshi, Aiichi Yamasaki
Spring Meeting of the Mathematical Society of Japan 2013.3 Kyoto Univ.
Rationality problem for fields of invariants --from the viewpoint of inverse Galois problem-- Invited
Akinari Hoshi
Colloquium of Dept. of Math. 2013.1 Rikkyo Univ.
Rationality problem of quasi-monomial actions Invited
Akinari Hoshi
Workshop: Algebraic Number Theory and Related Topics (Prof. Atsushi Shiho and Tadashi Ochiai) 2012.12 Kyoto Univ.
Rationality problem for fields of invariants --from the viewpoint of inverse Galois problem-- Invited
Akinari Hoshi
Joint seminar: The 108th 7th-Floor Seminar (Colloquium) 2012.11 Waseda Univ.
Rationality problem for algebraic tori
Akinari Hoshi, Aiichi Yamasaki
Autumn Meeting of the Mathematical Society of Japan 2012.9 Kyushu Univ.
Noether's problem and unramified Brauer groups
Akinari Hoshi, Ming-chang Kang, Boris E. Kunyavskii
Autumn Meeting of the Mathematical Society of Japan 2012.9 Kyushu Univ.
Noether's problem and unramified Brauer groups (joint work with M. Kang and B.E. Kunyavskii) Invited
Akinari Hoshi
Workshop on Galois point and related topics (Prof. Kei Miura, Takeshi Takahashi and Satoru Fukasawa) 2012.9 Yamagata Univ.
Rationality problem of algebraic tori (I) (joint work with A. Yamasaki) Invited
Akinari Hoshi
One-day workshop of algebra (Prof. Ming-chang Kang) 2012.8 National Taiwan Univ.
Noether's problem and unramified Brauer groups (joint work with M. Kang and B.E. Kunyavskii) Invited
Akinari Hoshi
The 7th Fukuoka Number Theory Conference (Prof. Masanobu Kaneko, Yasuro Gon and Yasuhiro Kishi) 2012.8 Kyushu Univ.
On the simplest cubic fields and related Thue equations Invited
Akinari Hoshi
The 2nd conference on MAGMA (Prof. Manabu Oura, Masanari Kida, Masaaki Harada, Akihiro Munemasa and Shun'ichi Yokoyama) 2012.7 Kochi Univ.
Noether's problem and unramified Brauer groups (joint work with M. Kang and B.E. Kunyavskii) Invited
Akinari Hoshi
The 11th conference of Sendai-Hiroshima number theory (Prof. Toshiro Hiranouchi, Makoto Matsumoto, Hiroki Sumida-Takahashi, Nobuo Tsuzuki and Akihiko Yukie) 2012.7 Tohoku Univ.
Noether's problem and unramified Brauer groups (joint work with M. Kang and B.E. Kunyavskii) Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Sin-Ei Takahasi and Takeshi Miura) 2012.6 Yamagata Univ.
Noether's problem and unramified Brauer groups (joint work with M. Kang and B.E. Kunyavskii) Invited
Akinari Hoshi
Singularity Theory Monday Seminar (Prof. Kei-Ichi Watanabe) 2012.5 Nihon Univ.
Quasi-monomial actions and some 4-dimensional rationality problems
Akinari Hoshi, Ming-chang Kang, Hidetaka Kitayama
Spring Meeting of the Mathematical Society of Japan 2012.3 Tokyo Univ. of Science
Unramified Brauer groups for groups of order $p^5$
Akinari Hoshi, Ming-chang Kang
Spring Meeting of the Mathematical Society of Japan 2012.3 Tokyo Univ. of Science
Unramified Brauer groups for groups of order $p^5$ (joint work with M. Kang and B.E. Kunyavskii) Invited
Akinari Hoshi
Mini-Conference on Algebraic Geometry (Prof. Fumio Sakai) 2012.3 Saitama Univ.
Akinari Hoshi
The 9th Affine Algebraic Geometry Meeting (Prof. Takashi Kishimoto, Hideo Kojima and Shigeru Kuroda) 2012.3 Kwansei Gakuin Univ.
On the simplest cubic fields and related Thue equations Invited
Akinari Hoshi
Colloquium of Dept. of Math. 2012.1 Rikkyo Univ.
On the simplest sextic fields and related Thue equations Invited
Akinari Hoshi
One-day workshop of algebra (Prof. Ming-chang Kang) 2011.8 National Taiwan Univ.
Three-dimensional monomial group actions (joint work with H. Kitayama and A. Yamasaki) Invited
Akinari Hoshi
Seminar of Algebra (Prof. Ming-chang Kang) 2010.10 National Taiwan Univ.
Three-dimensional monomial group actions (joint work with H. Kitayama and A. Yamasaki) Invited
Akinari Hoshi
TIMS Lecture (Prof. Ming-chang Kang) 2010.10 National Taiwan Univ.
On the simplest sextic fields and related Thue equations
Akinari Hoshi
Autumn Meeting of the Mathematical Society of Japan 2010.9 Nagoya Univ.
On the simplest cubic fields and related Thue equations
Akinari Hoshi
Autumn Meeting of the Mathematical Society of Japan 2010.9 Nagoya Univ.
Rationality problem of twisted symmetric group actions
Akinari Hoshi
Spring Meeting of the Mathematical Society of Japan 2010.3 Keio Univ.
Akinari Hoshi
The 5th Affine Algebraic Geometry Meeting (Prof. Kayo Masuda, Hideo Kojima and Takashi Kishimoto) 2010.3 Kwansei Gakuin Univ.
Rationality problem for three-dimensional monomial group actions Invited
Akinari Hoshi, Hidetaka Kitayama, Aiichi Yamasaki
Joint Conference: Hokuriku Number Theory Conference and Galois theory and related topics (Prof. Ki-ichiro Hashimoto and Akito Nomura) 2009.12 Kanazawa Univ.
Simple families of cyclic polynomials and related problems Invited
Akinari Hoshi
Joint Conference: Hokuriku Number Theory Conference and Galois theory and related topics (Prof. Ki-ichiro Hashimoto and Akito Nomura) 2009.12 Kanazawa Univ.
On the simplest quartic fields and related Thue equations Invited
Akinari Hoshi
The Joint Conference of ASCM2009 and MACIS2010 (Prof. Guenael Renault and Kazuhiro Yokoyama) 2009.12 JAL Resort Sea Hawk Hotel Fukuoka
Three-dimensional monomial group actions
Akinari Hoshi, Hidetaka Kitayama, Aiichi Yamasaki
Autumn Meeting of the Mathematical Society of Japan 2009.9 Osaka Univ.
On the field isomorphism problem of $X^3+sX+s$ and related cubic Thue equations
Akinari Hoshi, Katsuya Miyake
Autumn Meeting of the Mathematical Society of Japan 2009.9 Osaka Univ.
On correspondence between solutions of a parametric family of cubic Thue equations and isomorphism classes of simplest cubic fields Invited
Akinari Hoshi
Conference: Diophantine Analysis and Related Fields 2009 (Prof. Noriko Hirata-Kohno, Masaaki Amou, Ryotaro Okazaki, Takao Komatsu and Isao Wakabayashi) 2009.3 Nihon Univ.
On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation Invited
Akinari Hoshi, Katsuya Miyake
The Japan-Korea Joint Seminar on Number Theory and Related Topics 2008 (Prof. Hisao Taya) 2008.11 Tohoku Univ.
Note on the field isomorphism problem of generic polynomials
Akinari Hoshi, Katsuya Miyake
Autumn Meeting of the Mathematical Society of Japan 2008.9 Tokyo Institute of Technology
On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation Invited
Akinari Hoshi, Katsuya Miyake
Conference: Galois theory and related topics (Prof. Ki-ichiro Hashimoto, Shin-ichi Katayama, Hiroaki Nakamura, Hiroki Sumida-Takahashi and Masanari Kida) 2008.9 Tokushima Univ.
Some Diophantine problems arising from the isomorphism problem of generic polynomials Invited
Akinari Hoshi, Katsuya Miyake
The 5th Japan-China Seminar on Number Theory (Prof. Shigeru Kanemitsu) 2008.8 Kinki Univ.
Note on the field intersection problem of generic polynomials Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Sin-Ei Takahasi and Takeshi Miura) 2008.7 Yamagata Univ.
On the field intersection problem of generic polynomials via resolvent polynomials Invited
Akinari Hoshi
Foundations of Computational Mathematics (FoCM'09) (Prof. Hendrik Lenstra, Takakazu Satoh and Peter Stevenhagen) 2008.6 City Univ. of Hong Kong
A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation (joint work with K. Miyake) Invited
Akinari Hoshi
Conference: Algebraic Number Theory and Related Topics (Prof. Mamoru Asada and Hiroaki Nakamura) 2007.12 Kyoto Univ.
Note on the field isomorphism problem of generic polynomials (joint work with K. Miyake) Invited
Akinari Hoshi
The 7th Symposium on Algebra and Computation (AC2007) (Prof. Ken Nakamula, Michio Ozeki, Nobuki Takayama, Katsushi Waki, Hirofumi Tsumura and Shigenori Uchiyama) 2007.12 Tokyo Metropolitan Univ.
A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation Invited
Akinari Hoshi, Katsuya Miyake
Conference: Galois theory and related topics (Prof. Ki-ichiro Hashimoto, Naoki Murabayashi and Masanari Kida) 2007.11 Yamagata Univ.
Akinari Hoshi
Number Theory Seminar at Waseda Univ. (Prof. Ki-ichiro Hashimoto and Keiichi Komatsu) 2007.10 Waseda Univ.
Cubic generic polynomials and some Cremona transformations (joint work with Prof. K. Miyake) Invited
Akinari Hoshi
Seminar of Algebra (Prof. Ming-chang Kang) 2007.7 National Taiwan Univ.
On Tschirnhausen transformations and the field isomorphism problem of cubic generic polynomials Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Sin-Ei Takahasi and Takeshi Miura) 2007.7 Yamagata Univ.
Akinari Hoshi
Workshop on Galois point and related topics (Prof. Masaaki Homma and Hisao Yoshihara) 2007.7 Kanagawa Univ. Fujimi-kogen kenshujyo
Tschirnhausen transformation of a cubic generic polynomial and a 2-dimensional involutive Cremona transformation Invited
Akinari Hoshi
NCTS Short Course on Number Theory (Prof. Wen-Ching Winnie Li and Jing Yu) 2007.6 National Tsing Hua Univ.
Tschirnhausen Transformation of a Cubic Generic Polynomial and a 2-dimensional Involutive Cremona Transformation Invited
Akinari Hoshi, Katsuya Miyake
International Conference on Number Theory (Prof. Balakrishnan Ramakrishnan and Kalyan Chakraborty) 2006.12 Harish-Chandra Research Institute
Akinari Hoshi, Katsuya Miyake
Autumn Meeting of the Mathematical Society of Japan 2006.9 Osaka City Univ.
Akinari Hoshi
The 1st Fukuoka Number Theory Conference (Prof. Toru Komatsu) 2006.8 Kyushu Univ.
Noether's problem and generic polynomial -from the view point of Inverse Galois Problem- Invited
Akinari Hoshi
Conference: Commutative Banach Algebra and Related Topics (Prof. Sin-Ei Takahasi and Takeshi Miura) 2006.7 Yamagata Univ.
Generic Polynomials in Inverse Galois Problem (Survey Talk) Invited
Akinari Hoshi
The 69th 7th-Floor Seminar (Colloquium) 2006.6 Waseda Univ.
Noether's problem for Frobenius groups of prime degree up to 23 Invited
Akinari Hoshi
Conference: Galois groups and algebraic equations (Prof. Ki-ichiro Hashimoto, Masanari Kida and Nobuhiro Terai) 2005.9 Kagoshima Univ.
Noether's problem and Q-generic polynomials for the normalizer of the 8-cycle in $S_8$ and its subgroups Invited
Akinari Hoshi
Vortrag in der Arbeitsgemeinschaft ueber Algebra (Prof. Gregor Kemper) 2005.7 Technische Universitaet Muenchen
Noether Problems and Q-Generic Polynomials for the Normalizer of the 8-Cycle in $S_8$ Invited
Akinari Hoshi
Oberseminar Algebra-Zahlentheorie (Prof. B. Heinrich Matzat) 2005.5 Ruprecht-Karls-Universitaet Heidelberg
Noether's problem and Q-generic polynomials Invited
Akinari Hoshi
Kolloquium in Universitaet des Saarlandes (Prof. Rainer Schulze-Pillot) 2005.5 Universitaet des Saarlandes
Explicit construction of some multiplicative quadratic forms on algebraic varieties Invited
Akinari Hoshi
Oberseminar ueber Reelle Algebra (Prof. Manfred Knebusch) 2005.4 Universitaet Regensburg
A remark on rational bioctic reciprocity law Invited
Akinari Hoshi
Oberseminar ueber Reelle Algebra (Prof. Manfred Knebusch) 2004.11 Universitaet Regensburg
Multiplicative quadratic forms on algebraic varieties II Invited
Akinari Hoshi
Oberseminar ueber Reelle Algebra (Prof. Manfred Knebusch) 2004.11 Universitaet Regensburg
Multiplicative quadratic forms on algebraic varieties Invited
Akinari Hoshi
Oberseminar ueber Reelle Algebra (Prof. Manfred Knebusch) 2004.11 Universitaet Regensburg
Noether's Problem for meta-abelian groups Invited
Akinari Hoshi
Number Theory Seminar at Tokyo Metropolitan Univ. (Prof. Toru Komatsu and Yuichi Rikuna) 2004.4 Tokyo Metropolitan Univ.
Noether's Problem for Frobenius groups of degree 7 and its generic dimension
Akinari Hoshi
Spring Meeting of the Mathematical Society of Japan 2004.3 Tsukuba Univ.
Noether's Problem for meta-abelian groups Invited
Akinari Hoshi
Workshop on Number Theory at Waseda Univ. (Prof. Ki-ichiro Hashimoto and Keiichi Komatsu) 2004.3 Waseda Univ.
On the structure of the C8-fixed field of Q(x1,...,x8) Invited
Akinari Hoshi
Workshop: Inverse Galois Problem and Galois Coverings III (Prof. Hirotada Naito, Hiroki Sumida-Takahashi and Hiro-o Tokunaga) 2004.1 Kagawa Univ.
Ki-ichiro Hashimoto, Akinari Hoshi
Autumn Meeting of the Mathematical Society of Japan 2003.9 Chiba Univ.
Noether's Problem for D5, F20 and D6 Invited
Akinari Hoshi
Number Theory Seminar at Waseda Univ. (Prof. Ki-ichiro Hashimoto and Keiichi Komatsu) 2003.6 Waseda Univ.
Noether's Problem for D5, F20 and D6 Invited
Akinari Hoshi
Number Theory Seminar at Tokyo Metropolitan Univ. (Prof. Yasuhiro Kishi and Toru Komatsu) 2003.5 Tokyo Metropolitan Univ.
Quintic Jacobi sums and period polynomials for finite fields
Akinari Hoshi
Spring Meeting of the Mathematical Society of Japan 2003.3 The Univ. of Tokyo
Construction of families of cyclic polynomials with Gaussian period polynomials II
Ki-ichiro Hashimoto, Akinari Hoshi
Spring Meeting of the Mathematical Society of Japan 2003.3 The Univ. of Tokyo
Construction of simple cyclic polynomials of small degree Invited
Akinari Hoshi
Workshop: Inverse Galois Problem and Galois Coverings II (Prof. Hirotada Naito and Hiro-o Tokunaga) 2002.12 Kagawa Univ.
Multiplicative quadratic forms on algebraic varieties Invited
Akinari Hoshi
Number Theory Seminar at Tokyo Metropolitan Univ. (Prof. Kazuo Matsuno) 2002.10 Tokyo Metropolitan Univ.
Multiplicative quadratic forms on algebraic varieties Invited
Akinari Hoshi
Number Theory Seminar at Waseda Univ. (Prof. Ki-ichiro Hashimoto and Keiichi Komatsu) 2002.10 Waseda Univ.
Multiplicative quadratic forms on algebraic varieties
Akinari Hoshi
Autumn Meeting of the Mathematical Society of Japan 2002.9 Shimane Univ.
Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations Invited
Akinari Hoshi
Workshop: Inverse Galois Problem and Galois Coverings (Prof. Hiro-o Tokunaga) 2002.8 Tokyo Metropolitan Univ.
Irreducible polynomials of Gaussian periods and constructions of cyclic polynomials Invited
Akinari Hoshi
Number Theory Seminar at Waseda Univ. (Prof. Ki-ichiro Hashimoto and Keiichi Komatsu) 2002.5 Waseda Univ.
Construction of families of cyclic polynomials with Gaussian period polynomials
Ki-ichiro Hashimoto, Akinari Hoshi
Spring Meeting of the Mathematical Society of Japan 2002.3 Meiji Univ.
Construction of families of cyclic polynomials with Gaussian period polynomials Invited
Ki-ichiro Hashimoto, Akinari Hoshi
Workshop on Number Theory at Waseda Univ. (Prof. Ki-ichiro Hashimoto and Keiichi Komatsu) 2002.3 Waseda Univ.
Niigata University Outstanding Paper Award
2024.9 Niigata University
Akinari Hoshi
Niigata University Scholarly Publishing Award
2023.8 Niigata University
Akinari Hoshi
Niigata University Outstanding Paper Award
2021.12 Niigata University
Akinari Hoshi
Niigata University President's Award
2016.11 Niigata University
Akinari Hoshi
Representative of Ph.D. (D.Sc.) recipients
2005.3 Waseda University
Akinari Hoshi
Rationality problems and their applications to number theory
Grant number:24K06647
2024.4 - 2028.3
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
Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )
Number theory and algebraic geometry and computer mathematics - New developments on rationality problems for algebraic varieties -
Grant number:24K00519
2024.4 - 2027.3
System name:Grant-in-Aid for Scientific Research
Research category:Grant-in-Aid for Scientific Research (B)
Awarding organization:Japan Society for the Promotion of Science
Grant amount:\9230000 ( Direct Cost: \7100000 、 Indirect Cost:\2130000 )
Rationality problem for norm one tori in small dimensions
2021.4 - 2022.3
System name:Outstanding Paper Award
Awarding organization:Niigata University
Unramified cohomology groups and rationality problem for fields of invariants
Grant number:19K03418
2019.4 - 2023.3
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
HOSHI Akinari
Authorship:Principal investigator
Grant amount:\4290000 ( Direct Cost: \3300000 、 Indirect Cost:\990000 )
Rationality problem for algebraic tori
2016.4 - 2017.3
System name:President's Award (Research Grant for Young Researchers)
Awarding organization:Niigata University
HOSHI Akinari
Rationality problem for fields of invariants
Grant number:25400027
2013.4 - 2017.3
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
HOSHI Akinari
Authorship:Principal investigator
Grant amount:\4810000 ( Direct Cost: \3700000 、 Indirect Cost:\1110000 )
In view of constructive inverse Galois problem, we studied the rationality problem for fields of invariants under the action of finite groups. The invariant called the unramified Brauer group, which is important for the study of the rationality problem, was completely determined when the order of the group is the fifth power of odd prime p. Even for the unramified cohomology group which is a generalization of the unramified Brauer group, we showed that the non-vanishing of it when the order of the group is the ninth power of odd prime p. We studied Noether's problem and related rationality problems, and got several new results.
A computational research on number fields and coverings with non-commutative Galois groups
Grant number:22540032
2010.4 - 2015.3
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
TSUNOGAI Hiroshi, TSUZUKI Masao, GOMI Yasushi, UMEGAKI Atsuki, KOMATSU Toru, NAKASUJI Maki, RIKUNA Yuichi, HOSHI Akinari
Grant amount:\4290000 ( Direct Cost: \3300000 、 Indirect Cost:\990000 )
Our research intends to study Galois extensions with non-commutative Galois groups concretely. On Cross-Ratio Noether Problem for transitive groups of degree six, we obtained affirmative answers with explicit generators except two non-solvable subgroups. On Relative Rationality between the fixed fields of the fields of cross-ratios and the fields of ratios of differences, for the cases of the symmetric groups, it was shown to be affirmative for odd degrees and to be negative for even degrees. We also obtained negative answers for some subgroups of the symmetric groups of even degrees. We determined the defining equations of the dessins d'enfants of genus one of degree six except one valency list, and confirmed that known Galois invariants of dessins distinguish their Galois orbits in these cases. We showed the existence and non-existence of number fields with given prime inert conditions by means of generic polynomials.
A study on constructive inverse Galois problem
Grant number:22740028
2010.4 - 2014.3
System name:Grants-in-Aid for Scientific Research
Research category:Grant-in-Aid for Young Scientists (B)
Awarding organization:Japan Society for the Promotion of Science
HOSHI Akinari
Authorship:Principal investigator
Grant amount:\2340000 ( Direct Cost: \1800000 、 Indirect Cost:\540000 )
Galois theory, forms the foundation of modern algebra, founded by Evariste Galois has continued to support the development of state-of-the-art mathematics. In Galois theory, the problem "whether every finite group appears as the Galois group of some field extension or not" is called inverse Galois problem, and is related to the structure of the absolute Galois group of rationals which is an interesting subject in number theory.
In this research, we gave answers to some problems, e.g. Noether's problem, the field isomorphism problem of generic polynomials, which are related to the inverse Galois problem. By applying this, we also solved some Thue equations.
単純巡回多項式族に対する同型問題と付随するThue方程式族の整数解への応用
2009.4 - 2010.3
System name:学術推進特別重点資金(立教SFR)
Awarding organization:立教大学
星 明考
Authorship:Principal investigator Grant type:Competitive
Grant amount:\500000 ( Direct Cost: \500000 )
生成的多項式の共通部分体問題―理論的枠組みの構築と計算代数による応用―
2008.4 - 2009.3
System name:学術推進特別重点資金(立教SFR)
Awarding organization:立教大学
星 明考
Authorship:Principal investigator Grant type:Competitive
Grant amount:\500000 ( Direct Cost: \500000 )
非可換ガロア拡大の系統的構成および代数多様体上の乗法的二次形式
2007.4 - 2008.3
System name:特定課題研究 (2007B-067)
Awarding organization:早稲田大学
星 明考
Authorship:Principal investigator Grant type:Competitive
Development of Number Theory based on Generic Polynomials
Grant number:19540057
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
MIYAKE Katsuya, KISHI Yasuhiro, RIKUNA Yuuichi, HOSHI Akinari, KOMATSU Toru
Grant amount:\3640000 ( Direct Cost: \2800000 、 Indirect Cost:\840000 )
ガロア逆問題の構成的研究とその応用について
2006.4 - 2007.3
System name:特定課題研究 (2006A-850)
Awarding organization:早稲田大学
星 明考
Authorship:Principal investigator Grant type:Competitive
A computational study on extensions of algebraic number fields with non-commutative Galois groups
Grant number:18540048
2006 - 2009
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
TSUNOGAI Hiroshi, TSUZUKI Masao, UMEGAKI Atsuki, MORIYAMA Tomonori, RIKUNA Yuuichi, HOSHI Akinari, KOMATSU Tooru
Grant amount:\4220000 ( Direct Cost: \3500000 、 Indirect Cost:\720000 )
Galois Theory is, shortly speaking, a theory of symmetry of numbers. Constructive Galois Theory aims at constructing prescribed symmetry explicitly. In this research, we have treated some cases with non-commutative Galois groups, and constructed explicit polynomials (mainly of degree 5 and 6) with featuring symmetry making use of geometric symmetry. It is significant that the polynomials have brief presentation so that we have obtained some number-theoretic properties.
ガロア逆問題の構成的研究および代数多様体上乗法的な二次形式の理論の展開
2004.4 - 2006.3
System name:科学研究費補助金
星 明考
Authorship:Principal investigator Grant type:Competitive
Grant amount:\1900000 ( Direct Cost: \1900000 )
代数・幾何特別講義
理学基礎演習
構造数理特別講義
台湾スプリングセミナー II
台湾スプリングセミナー I
専門力アクティブ・ラーニング
理学スタディ・スキルズ
先端科学技術総論
構造数理特別講義
代数・幾何学序論B
線形代数IIA
代数系IIA
代数系IIB
数学基礎B1
数学基礎B2
数学演習A
数学演習B
理学スタディ・スキルズ
数学基礎A1
数学基礎A2
台湾スプリングセミナー I
台湾スプリングセミナー 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)
代数系II
基礎数学B II
数理科学セミナーⅠ(数学)
数理物質科学特定研究Ⅰ(数学)
数理科学文献詳読Ⅰ(数学)
数理科学研究発表演習〔中間発表〕(数学)
自然科学総論Ⅰ
代数的整数論
数論
数学講究
数学の世界
線形代数II
数学基礎A
数学基礎B
数理基礎演習II
整数論と素数と暗号
Role(s): Lecturer
新潟大学 オープンキャンパス模擬授業 2023.8
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県立新潟高等学校 理数科講演会 2023.6
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県立新潟江南高等学校 出前講義 2022.11
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県立新潟高等学校 理数科講演会 2022.6
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県立長岡向陵高等学校 出前講義 2022.6
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県立佐渡高等学校 出前講義(Zoom) 2021.8
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県高等学校教育研究会 講演(Zoom) 2021.7
整数論と素数と暗号
Role(s): Lecturer
新潟大学 Webオープンキャンパス模擬授業 2020.8
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県立新潟南高等学校 出前講義 2019.12
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
山梨県立甲府東高等学校 出前講義 2019.10
整数論と素数と暗号
Role(s): Lecturer
新潟大学 オープンキャンパス模擬授業 2019.8
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟大学 第104回理学部コロキウム 2018.12
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟県立佐渡高等学校 出前講義 2018.8
整数論と素数と暗号
Role(s): Lecturer
新潟大学 オープンキャンパス模擬授業 2018.8
整数論と素数と暗号
Role(s): Lecturer
新潟大学 オープンキャンパス模擬授業 2017.8
整数論と素数と暗号 ―数学は世界を守っている?―
Role(s): Lecturer
新潟大学 第12回市民公開セミナー 2017.3
素数の世界で方程式を解いてみよう
Role(s): Lecturer, Advisor
新潟県教育委員会 新潟県高校生理数トップセミナー 2016.11 - 2016.12
整数論と素数と暗号
Role(s): Lecturer
新潟大学 オープンキャンパス模擬授業 2016.8
整数論と素数と暗号
Role(s): Lecturer
新潟大学 オープンキャンパス模擬授業 2014.8
Role(s): Planning, management, etc.
京都大学数理解析研究所 2021.12
Role(s): Planning, management, etc.
2019年度第27回整数論サマースクール ( 東北公益文科大学 公益ホール(酒田市公益研修センター) ) 2019.9
新潟大学教育研究特別シンポジウム 高校生のためのシンポジウム 数学の最先端 ~双有理幾何学の世界~ フィールズ賞 (数学のノーベル賞) 森重文先生に直接質問してみよう!
Role(s): Planning, management, etc., Panel moderator, session chair, etc.
新潟大学 ( 朱鷺メッセ 4F 国際会議室(マリンホール) ) 2019.5
Role(s): Planning, management, etc.
新潟大学 2015.7