伊吹山知義　オフィシャルサイト

Tomoyoshi Ibukiyama Official Site

Degrees under my advise

Doctor of Science:

1. Hidetaka Kitayama,Constructive aspects of inverse Galois problem. (2010)、 (Currently Associate Professor of Wakayama Univ.)
2. Yoshinori Mizuno, Explicit Forms of Koecher-Maass series and their Applications. （2006)、(Currently Full Professor of Nagoya Institute of Technology)
3. Ryoji Kyomura, Vector Valued Jacobi Forms of Half-Integral and Integral Weight. （2006)、(Currently Teacher in Samukawa High School, Kanagawa)
4. Satoshi Wakatsuki, Igusa local zeta functions of prehomogeneous vector spaces with universally transitive open orbits （2005), (Currently Full Professor of Kanazawa Univ.)
5. Takeo Okazaki, Conjectures of Salvati Manni and Top on abelian surfaces (2004), (Currently Associate Professor of Nara Women's Univ.)
6. Shuichi Hayashida、Siegel modular forms of half integral weights and holomorphic and skew holomorphic Jacobi forms (2003)、(Currently Full Professor of Joetsu Univ. of Education）
7. Yasuo Ohno, A generalization of the duality and the sum formula on the multiple zeta values（1998)、 (Currently Full Professor of Tohoku Univ.)

Master of Science:

1. Tomoya Kiyuna, Structure of Siegel modular forms of Sp(2;Z) of weight det^even ⊗Sym(8) (2012)
2. Yoshinori Hyogo、On polynomials associated with differential operators on automorphic forms (2012)
3. Yusuke Uehira, Determination of vectors in each irreducible factors of Sym(m)⊗ Sym(n) (2010)
4. Takayuki Kato, Structures of Jacobi forms of congruence subgroups of low levels(2009)
5. Kiminori Takeda, Determination of a part of the Fourier coefficients of Klingen Eisenstein series of degree two (2009)
6. Kenichi Namikawa, On Abelian surfaces over Q with complex multiplication and Hilbert modular forms(2008)
7. Naoto Nishimura, Some calculations related to dimension formulas of Siegel modular forms (2008）
8. Masato Ono, Bases and L functions of Siegel modular forms of degree two of weight 3 and level 29 and 31.(2008)
9. Y. Matsuura, Correspondence between eigenvalues of T(3) of elliptic cusp forms and Hecke polynomials of automorphic forms of compact Sp(2)(2008）
10. Rie Uchida, Dimensions of Siegel modular forms of weight det² Sym(20) (2007）
11. Kenichi Kim, Experiment on comparison of Hecke operators of quaternion hermitian groups Sp(2)(2007)
12. Shotaro Kimura,On Vector Valued Siegel Modular Forms of Half Integral Weight and Jacobi Forms (2005）
13. Masazumi Akasaka, On cusp forms of weight one of modular function fields of genus one(2005)
14. Masato Nakajima, Rankin-Cohen type differential operators (2005）
15. H. Hachigo, Detemination of two equivalence classes of maximal lattices in the non-principal genus for p = 13 (2005）
16. Ryoji Kyomura, Vector valued Jacobi forms and Scalar valued Jacobi forms（2003）
17. Satoshi Wakatsuki, Some b functions of 2-simple prehomogeneous vector spaces of type I and the Igusa local zeta function associated to Spin(14). (2002)
18. Masanori Kuribayashi, Classification of SU(2; 2;C) conjugacy classes of S(2; 2;C) (Attempt for an application of dimension formulas of automorphic forms) (2001)
19. Takeo Okazaki, Approach to Conjectures of Riccardo Salvati Manni and Jaap Top on zeta functions of Abelian varieties and Siegel modular forms (2001)
20. Yoshinori Mizuno, Eisenstein series of Cohen type and Rankin-Selberg convolution(2001)
21. Daisuke Nakai, An explicit form of generalized Siegel formula （2000)
22. Satoyuki Tsukano, Experiment on exponential sums and Bernoulli numbers, (2000）
23. T. Mizuguchi, Recurrence relation of differential operators on automorphic forms（2000）
24. Makoto Miyawaki, Functional equation of Dirichlet series obtained by Fourier coefficients of modular forms and representation numbers of positive definite quadratic forms. (1999)
25. T. Izumi, Rankin-Cohen type differential operators from C-valued Siegel modular forms to vector valued (1999）
26. Shuichi Hayashida, Determination of the plus space up to weight 23/2 of Siegel modular forms of half integral weight of degree two(1999)
27. Fumie Onodera, On the graded ring of modular forms of the Siegel paramodular group of level 2 (1997）
28. Y. Kawanishi, Cusps of some paramodular groups(1997)
29. Kana Kimura, Attempt of calculation of Fourier coefficients of Klingen Eisenstein series of Hermitian modular group (1997）
30. Kaori Saigo, The modular forms on the exceptional tube domain(1997)
31. Shinji Yoshikawa, (1) Theory of invariants and Symbolic method, (2) Andrianov conjecture（1997)
32. Yasuo Ohno, Study on zeta functions of binary cubic forms (1995)
33. K. Saida, Towards dimensions of automorphic forms (1995）

Referee committee member of the following doctoral degrees:

1. H. Sakuno, Bases of spaces of Whittaker functions related with discrete series representations; the case of Sp(2;R) and SU(2; 2)
2. M. Miyaji, Cryptograpy of elliptic curves
3. J. Shikata, On discrete logarithm problems on elliptic curves
4. F. Sairaiji, Formal Groups of Certain Q-curves over Quadratic Fields
5. R. Harasawa, Jacobian Group Arithmetic on Algebraic Curves
6. further people omitted

Advisors of the following fellows of JSPS

1. Hidetaka Kitayama, DC2, in 2008 and 2009, PD in 2010
2. Yasuo Ohno, PD in 1998 and 1999.

Foreign Student

1. Axel Marschner, From RWTH Aachen Univ, Germany to our graduate school（1999).

Intensive lectures

1. Tokyo Inst. Tech. (1985?), Tokyo Metropolitan Univ. (1987?), Shinshu Univ. (1989),
   Chiba Univ. (1990?), Univ. Tokyo(1991), Saga Univ.(1991), Tsukuba Univ.(1995)
   Kyushu Univ. (1996), Rikkyo Univ. (1996), Kanazawa Univ.(1998)
   Sogang Univ. Seoul, Korea(1998)
   Kyushu Univ. (1999), Nagoya Univ. (2003), Hokkaido Univ. (2005)
   Kyoto Univ. (2012), Kanazawa Univ. (2014), Nara Women's Univ.(2017)

Lectures for High School Pupils

1. One day lecture in Tennoji High School(1999）
2. One day lecture in Otemae High School(2000)
3. One day lecture in Tennoji High School(2010)
4. A lecture in the summer seminar of Mathematical Olympiad Foundation(2011)
5. Commentator on the presentation event by pupils in Super Science High Schools (2011)