## Basic Information

### Major Professional Backgrounds

- 1983/04/01, 1985/03/31, Oshima National College of Maritime Technology, Division of General Education, Research Associate
- 1985/04/01, 1994/03/31, Oshima National College of Maritime Technology, Division of General Education, Lecturer
- 1994/04/01, 2001/09/30, Oshima National College of Maritime Technology, Division of General Education, Associate Professor
- 2001/10/01, 2003/09/30, Kumamoto University, College of Medical Science, Associate Professor
- 2003/10/01, 2007/03/31, Kumamoto University, School of Health Sciences, Associate Professor
- 2007/04/01, 2009/12/31, Kumamoto University, School of Health Sciences, Associate Professor
- 2010/01/01, 2011/02/28, Kumamoto University, Faculty of Life Sciences, Associate Professor
- 2011/03/01, 2020/03/31, Hiroshima University, Graduate School of Science, Professor

### Academic Degrees

- Doctor of Philosophy, Kyushu University
- Master of Science, Kyushu University
- Bachelor of Science, Kyushu University

### In Charge of Primary Major Programs

- Integrated Arts and Sciences

### Research Fields

- Mathematical and physical sciences;Mathematics;Basic analysis
- Mathematical and physical sciences;Mathematics;Geometry
- Complex systems;Science education / Educational technology;Science education

### Research Keywords

- Complex Space
- Stein Space
- Meromorphic Convexity

### Affiliated Academic Societies

- The Mathematical Society of Japan

## Educational Activity

### Course in Charge

- 2022, Liberal Arts Education Program1, 4Term, Basic Linear Algebra
- 2022, Liberal Arts Education Program1, 2Term, Linear AlgebraI
- 2022, Liberal Arts Education Program1, 3Term, Linear AlgebraII
- 2022, Liberal Arts Education Program1, 1Term, CalculusI
- 2022, Undergraduate Education, 4Term, Function Theory
- 2022, Undergraduate Education, 3Term, Seminar in Mathematics I
- 2022, Undergraduate Education, 4Term, Seminar in Mathematics II
- 2022, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
- 2022, Graduate Education (Master's Program) , Academic Year, Geometric and Algebraic Analysis Seminar
- 2022, Graduate Education (Master's Program) , Academic Year, Geometric and Algebraic Analysis Seminar
- 2022, Graduate Education (Master's Program) , 1Term, Geometric and Algebraic Analysis A
- 2022, Graduate Education (Master's Program) , 2Term, Geometric and Algebraic Analysis B
- 2022, Graduate Education (Master's Program) , 3Term, Geometric and Algebraic Analysis C
- 2022, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
- 2022, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
- 2022, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
- 2022, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics

## Research Activities

### Academic Papers

- Boundary distance functions of Riemann domains over pre-Hilbert spaces, Complex Analysis and and Operator Theory, 16, Article number: 88, 2022
- A generalization of a theorem of Kuhnel on globally defined analytic sets, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 66(11), 1937-1940, 2021
- A topological characterization of the strong disk property on open Riemann surfaces, Kodai Mathematical Journal, 42(3), 587-592, 201910
- A characterization of subpluriharmonicity for a function of several complex variables, Bulletin of the Graduate School of Integrated Arts and Sciences, Hiroshima Univ. II, Studies in Environmental Sciences, 14, 1-5, 201912
- Intermediate pseudoconvexity for unramified Riemann domains over C^n, Toyama Mathematical Journal, 40, 17-35, 2019
- Strong disk property for domains in open Riemann surfaces, Filomat, 30(7), 1711-1716, 2016
- Holomorphic line bundles and Cartier divisors on domains in a Stein orbifold with discrete singularities, Toyama Mathematical Journal, 36, 15-26, 2014
- On Oka's extra-zero problem and examples, Mathematische Zeitschrift, 275(1-2), 79-89, 2013
- Domains which satisfy the strong disk property in a Stein manifold, The Proceedings of the 13th Conference on Real and Complex Analysis in Hiroshima (2010), Higashi-Hiroshima, Japan, December 20-22, 2010 (Y. Mizuta, ed.), Hiroshima University, Higashi-Hiroshima, 1-4, 201103
- Open sets which satisfy the Oka-Grauert principle in a Stein space, Annali di Matematica Pura ed Applicata, Ser. 4, 190(4), 703-723, 201112
- Meromorphic approximation theorem with respect to a semigroup of holomorphicline bundles in a Stein space, Toyama Mathematical Journal, 32, 41-57, 2009
- A method for calculation of marks in scholastic evaluation, Transactions of Mathematical Education for College and University, 15(1), 89-96, 200808
- Meromorphic approximation in a Stein space, Function Spaces in Complex and Clifford Analysis, National University Publishers Hanoi, Hanoi, 100-105, 2008
- On the class file kumajm.cls for mathematical papers, Bulletin of Kumamoto University School of Health Sciences, 3, 123-136, 200703
- Holomorphic line bundles and divisors on a domain of a Stein manifold, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Ser. 5, 6(2), 323-330, 2007
- Polynomial convexity and strong disk property, Journal of Mathematical Analysis and Applications, 321(1), 32-36, 200609
- Open sets satisfying the strong meromorphic approximation property, Toyama Mathematical Journal, 29, 7-23, 2006
- Holomorphic line bundles on a domain of a Stein manifold, Proceedings of the Ninth Conference on Real and Complex Analysis in Hiroshima 2005, Higashi-Hiroshima, Japan, December 15-17, 2005 (E.G. Kwon, Y. Mizuta, and T. Sugawa, eds.), Hiroshima University, Higashi-Hiroshima, 1-8, 2006
- Meromorphic approximation theorem in a Stein space, Annali di Matematica Pura ed Applicata, Ser. 4, 184(2), 263-274, 200506
- A note on the meromorphic O(X)-convexity, Kumamoto Journal of Mathematics, 18, 17-23, 2005
- Analytic compactiications of C^2/Z_n, Proceedings of Hayama Symposium on Several Complex Variables 2004, Hayama, Japan, December 18-21, 2004 (Y. Nishimura, J. Noguchi, S. Takayama, and T. Ueda, eds.), University of Tokyo, Tokyo, 177-181, 2005
- Ramified coverings over a complete Kähler space, Archiv der Mathematik, 83(2), 154-158, 200408
- Holomorphic line bundles on a domain of a two-dimensional Stein manifold, Annales Polonici Mathematici, 83(3), 269-272, 2004
- Analytic compactifications of C^2/Z_n, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 74, 223-235, 2004
- Remarks on universal functions of O(C^∗), Hiroshima Mathematical Journal, 33(1), 27-30, 2003
- Montel domains and equicontinuity domains, Mathematics Journal of Toyama University, 26, 25-34, 2003
- On non-normal del Pezzo surfaces, Mathematische Nachrichten, 260(1), 3-13, 200311
- A method of solution of inhomogeneous linear differential equations of second order with constant coefficients, Transactions of Mathematical Education for College and University, 9(1), 103-108, 200208
- Steinness of the total space of a non-trivial algebraic affine C-bundle on the punctured complex affine plane, Mathematische Nachrichten, 238(1), 16-22, 200205
- Meromorphic convexity of normality domains, Complex Analysis and Related Topics: Proceedings of the Japan-Korea Joint Workshop in Mathematics 2001, Yamaguchi, Japan, 22-24 July 2001 (Masumoto, M., ed.), Department of Mathematical Sciences, Yamaguchi University, Yamaguchi, 1-6, 2002
- On the proof of the theorem which gives a criterion for the extremal point of functionsof two variables, Transactions of Mathematical Education for College and University, 8(1), 51-54, 200106
- On the meromorphic convexity of normality domains in a Stein manifolds, Manuscripta Mathematica, 103(4), 447-453, 2000
- Holomorphic ae;ffine C-bundles on the punctured complex ae;ffine plane, Proceedings of the Third International Workshop on Real and Complex Analysis, Seoul, Korea, June 8-9, 2000 (Y. Mizuta, H. Kazama, M. Furushima, and S.Y. Lee, eds.), The Institute of Mathematical Sciences, Ewha Womans University, Seoul, 71-74, 2000
- Analytic compactifications of C^2/G, Kyushu Journal of Mathematics, 54(1), 87-101, 200003
- Some results on the Steinness of the total space of a holomorphic affine C^r-bundle, Kyushu Journal of Mathematics, 53(2), 395-406, 199909
- Equicontinuity domains and disk property, Complex Variables Theory and Applications, 39(1), 19-25, 1999
- On the union of 1-convex open sets, Hiroshima Mathematical Journal, 28(1), 139-147, 199803
- Holomorphic affine bundles on the complement of an analytic set, Mathematische Zeitschrift, 229(3), 539-546, 1998
- On the complete Kählerity of complex spaces, Bulletin of Kyushu Kyoritsu University, Faculty of Engineering, 20, 17-23, 199603
- A result related to the meromorphic convexity, Proceedings of the Third International Colloquium on Finite or Infinite Dimensional Complex Analysis, Seoul, Korea, July 31- August 2, 1995 (J. Kajiwara, H. Kazama, S.Y. Lee, and K.H. Shon, eds.), Kyushu University Co-operation, Fukuoka, 227-233, 1995
- On the complex space which admits a 1-convex open covering, Proceedings of the 5th International Colloquium on Differential Equations, Plovdiv, Bulgaria, August 18-23, 1994, Vol. 1 (D. Bainov and A. Dishliev, eds.), Science Culture Technology Publishing, Singapore, 6-15, 199512
- A remark on the 1-convex open covering, The Bulletin of Oshima National College of Maritime Technology, 28, 69-71, 1995
- On the line bundle convexity of a totally pseudoconvex open set, Complex Variables Theory and Applications, 26(4), 283-290, 1995
- A generalization of Yasuoka's theorem on the complete Kähler exhaustion, Proceedings of the Second Korean-Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis, Fukuoka, Japan, July 27-29, 1994 (J. Kajiwara, H. Kazama, and K.H. Shon, eds.), Kyushu University Co-operation, Fukuoka, 1-5, 1994
- On the open set exhausted by complete Kähler open sets in a Stein space with isolated singularities, Proceedings of the Second Korean-Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis, Fukuoka, Japan, July 27-29, 1994, (J. Kajiwara, H. Kazama, and K.H. Shon, eds.), Kyushu University Co-operation, Fukuoka, 7-13, 1994
- On the limit of an increasing sequence of 1-convex open sets, Proceedings of the First Korean-Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis, Pusan, Korea, July 10-17, 1993 (J. Kajiwara, H. Kazama, and K.H. Shon, eds.), Miura Bindery, Fukuoka, 71-75, 1993
- Characterization of pseudoconvexity through the disk property for open sets with C^1 smooth boundaries, The Bulletin of Oshima National College of Maritime Technology, 26, 53-56, 1993
- On the Nebenhülle of an open set in a Stein manifold, The Bulletin of Oshima National College of Maritime Technology, 24, 125-129, 1991
- Domains in a two dimensional Stein space with quotient singularities, The Bulletin of Oshima National College of Maritime Technology, 21, 103-110, 1988
- Conditions for the Steinness of a complex manifold, The Bulletin of Oshima National College of Maritime Technology, 19, 73-79, 1986
- Normality domains for families of holomorphic maps into a complex Lie group, Mathematics Reports Toyama University, 1985
- Planar open Riemann surfaces and holomorphic approximation, Bulletin of Aichi Institute of Technology, 14-17, 201903
- Tube domains over C^n, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 39(2), 253-259, 198508
- Domains over a K-complete manifold, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 38(1), 133-140, 198403
- Note on the theorem of Cartan-Behnke-Stein, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 37(1), 57-62, 198303
- On the Nebenhülle, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 36(2), 181-184, 198209

### Publications such as books

- 2019/03/30, Basic Linear Algebra, 2nd Ed. (in Japanese), Gakujutsu-tosho, 2019, 0330, Textbook, Joint work, Abe, M.; Honda, T.; Shibuya, K., 9784780600179, 978-4780606690
- 2018/03/30, Basic Linear Algebra (in Japanese), Gakujutsu-tosho, 2018, 0330, Textbook, Joint work, Abe, M.; Honda, T.; Shibuya, K., 9784780606393
- 2016/12/09, Calculus as an introductory subject (in Japanese), Baifûkan, 2016, 1209, Textbook, Joint work, Abe, M.; Iwamoto, C.; Shima, T.; Mukaidani, H., 9784563012076, 231
- 2006/04/20, Calculus (in Japanese), Fukurô Shuppan, 2006, 0420, Textbook, Single work, Abe, M., 4861862671, 189
- 1999/04/28, An Introduction to Mathematics from the Beginning: Calculus and Linear Algebra (in Japanese), Baifûkan, 1999, 0428, Textbook, Joint work, Abe, M.; Furushima, M.; Mizuta, Y., 4563002690, 206
- 1999/01, Newsletter of Information Education Center, vol. 1, Oshima Nat. College of Maritime Tech., 1999, 01, Others, Cocompilation, 日本語, Kushida, N.; Yamasaki, N.; Kanda, M.; Koike, K.; Sasai, Y.; Okamura, K.; Abe, M.; Ichimura, M.; Ishimitsu, S.; Iwasaki, H.; Shintani, K., 82, 31-33

### Invited Lecture, Oral Presentation, Poster Presentation

- A characterization of subpluriharmonicity by using quadratic functions, Abe, M.;Sugiyama, S., 2021/09, Without Invitation, Japanese
- Intermediate pseudoconvexity for unramified Riemann domains over C^n, Abe, M., 2021/07/19, With Invitation, Japanese
- A generalization of a theorem of Kühnel on globally defined analytic sets, Abe, M.;Shima, T.;Sugiyama, S., 2021/03, Without Invitation, Japanese
- Intermediate pseudoconvexity for unramified Riemann domains over C^n, Abe, M.;Shima, T.;Sugiyama, S., 2020/09, Without Invitation, Japanese
- A Generalization of a Theorem of Kühnel on globally defined analytic sets, 2020/03/22, With Invitation, Japanese
- Holomorphic approximation, meromorphic approximation, and strong disk property, Abe, M., 2019/11, With Invitation, Japanese
- A characterization of subpluriharmonicity for a function of several complex variables, Abe, M., 2019/03/22, Japanese
- Planar open Riemann surfaces and holomorphic approximation property, Abe, M., 2018/05/18, With Invitation, Japanese, published
- Intermediate pseudoconvexity for unramified Riemann domains over C^n, Sugiyama, S.;Abe, M.;Shima, T., 2018/01/21, Without Invitation, Japanese
- A characterizaton of a planar open Riemann surface by a holomorphic approximation property, Abe, M., 2017/12/01, Japanese
- A characterization of q-pseudoconvexity for unramified domains over C^n, M. Abe, The 25th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, 2017/06, English, University of Hong-Kong, Hong-Kong, China, published
- Holomorphic line bundles and Cartier divisors on domains in a Stein orbifold with discrete singularities, Abe, M., The 23rd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, 2015/08, With Invitation, English, Kyusyu Sangyo University, Fukuoka, Japan
- Holomorphic line bundles and Cartier divisors on domains in a Stein orbifold with discrete singularities, Abe, M., 2015/03, Japanese
- A cohomological characterization for Stein open sets in a 2-dimensional Stein orbifold, Abe, M., The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, 2014/08, With Invitation, English, Dongguk University, Gyeongju, Korea
- Meromorphic convexity and Steinness for complex spaces, Abe, M., 2014/03, Without Invitation, Japanese
- Strong disk property for domains in a Stein space of dimension 1, Abe, M., 2013/05, Without Invitation, Japanese
- An extension of the theorem of Kajiwara-Nishihara to higher dimensional spaces, Abe, M., 2013/03, Japanese
- Holomorphic line bundles and Cartier divisors on domains of a Stein orbifold, Abe, M., 2011/12, Without Invitation, Japanese
- Open sets which satisfy the Oka-Grauert principle in a Stein orbifold, Abe, M., 18th International Conference on Finite or Inc;finite Dimensional Complex Analysis and Applications, Univ. of Macau, Macau, China, 2010/08, With Invitation, English
- Domains which satisfy the strong disk property in a Stein manifold, Abe, M., The 13th Conference on Real and Complex Analysis in Hiroshima, Hiroshima Univ., Higashi-Hiroshima, 2010, Without Invitation, English
- Holomorphic line bundles and Cartier divisors on domains of a Stein orbifold, Abe, M., Seminario di Matematica, Scuola Normale Superiore di Pisa, Pisa, Italy, 2008, Without Invitation, English
- Strong disk property and the Bremermann problem on polynomial convexity, Abe, M., Finland-Japan Joint Seminar on Analysis, Univ. of Helsinki, Helsinki, Finland, 2007, Without Invitation, English
- Meromorphic approximation in a Stein space, Abe, M., The 14th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Hue University, Hue, Vietnam, 2006/08, With Invitation, English
- Holomorphic line bundles on a domain of a Stein manifold, Abe, M., The Ninth Conference on Real and Complex Analysis, Hiroshima Univ., Higashi-Hiroshima, 2005, Without Invitation, English
- Meromorphic convexity of normality domains, Abe, M., Japan-Korea Joint Workshop in Mathematics 2001: Complex Analysis and Related Topics, Yamaguchi Univ., Yamaguchi, 2001/07, With Invitation, English
- Holomorphic affine C-bundles on the punctured complex affine plane, Abe, M., The Third International Workshop on Real and Complex Analysis, Ewha Womans University, Seoul, Korea, 2000/06, With Invitation, English
- Equicontinuity domain and Montel domain with disk property, Abe, M.; Furushima, M.; Tsuji, M., 1998, Without Invitation, Japanese
- Analogue of the Serre problem on fiber bundles, Abe, M.; Furushima, M., Winter Seminar in Complex Analysis in Several Variables, Shonan Village Center, Hayama, 1996/12, With Invitation, Japanese
- A result related to the meromorphic convexity, Abe, M., 1995/08, With Invitation, English
- On the complex space which admits a 1-convex open covering, Abe, M., The Fifth International Colloquium on Differential Equations, Plovdiv Technical University, Plovdiv, Bulgaria, 1994/08, With Invitation, English
- A generalization of Yasuoka's theorem on the complete Kähler exhaustion, Abe, M., The Second Korean-Japanese Colloquium on Finite or Infininite Dimensional Complex Analysis, Kyushu Univ., Fukuoka, 1994/07, With Invitation, English
- On the limit of an increasing sequence of 1-convex open sets, Abe, M., The First Korean-Japanese Colloquium on Finite or Inc;finite Dimensional Complex Analysis, Pusan University, Pusan, Korea, 1993/07, With Invitation, English

## External Funds

### Acceptance Results of Competitive Funds

- KAKENHI, 2011, 2014
- KAKENHI, 2010, 2014
- 2008
- KAKENHI, DIVISORS AND MEROMORPHIC CONVEXITY IN A STEIN SPACE, 2008, 2010
- KAKENHI, Studies on meromorphic convexity in Stein spaces, 2006, 2007
- KAKENHI, A study on the singular Fano compactifications of 3-dimensional complex affine spaces, 2004, 2005
- KAKENHI, STUDY ON THE COMPLEX AFFINE SPACE CィイD1NィエD1 AND ITS COMPACTIFICATION, 1998, 1999
- KAKENHI(Grant-in-Aid for Scientific Research (C)), 2017, 2020

## Social Activities

### Organizing Academic Conferences, etc.

- 2020/03, 2020/03
- 2018/10, 2018/10
- 2015/10, 2015/10
- The 23rd International Conference on Finite or Infinite Dimensional Complex Analysis and Application, Vice-chairperson of Organizing Committee, 2015/08, 2015/08
- 2011/12, 2011/12
- The 19th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Member of Local Organizing Committee, 2011/12, 2011/12
- 2019/03, 2019/03
- 2020/01, 2020/01

### History as Peer Reviews of Academic Papers

- 2021, Hiroshima Mathematical Journal, Editor
- 2020, Hiroshima Mathematical Journal, Editor
- 2019, Hiroshima Mathematical Journal, Editor
- 2018, Hiroshima Mathematical Journal, Editor
- 2017, Hiroshima Mathematical Journal, Editor
- 2016, Hiroshima Mathematical Journal, Editor
- 2015, Hiroshima Mathematical Journal, Editor
- 2014, Hiroshima Mathematical Journal, Editor
- 2013, Hiroshima Mathematical Journal, Editor
- 2012, Hiroshima Mathematical Journal, Editor
- 2011, Hiroshima Mathematical Journal, Editor