**Yoshishige HARAOKA**

**List of Papers**

- Multiplicative middle convolution for KZ equations,
*Math. Z.*, DOI 10.1007/s00209-019-02322-9 - Rigid Fuchsian systems in 2-dimensional conformal field theories
(with Vladimir Belavin and Raoul Santachiara),
*Commun. Math. Phys.*,**365**(2019), 17-60, DOI 10.1007/s00220-018-3274-x - Three-dimensional representations of braid groups associated with some finite complex reflection groups (with Toshiya Matsumura),
*Int. J. Math.*,**28**, 1750109 (2017) [44 pages]. - Connection problem for regular holonomic systems in several variables,
*"Analytic, Algebraic and Geometric Aspects of Differential Equations", Trends in Mathematics*, Birkhäuser, 2017, 337-350. - Holonomic Systems,
*"Analytic, Algebraic and Geometric Aspects of Differential Equations", Trends in Mathematics*, Birkhäuser, 2017, 59-87. - Symmetric differential polynomials (with Kousuke Iida),
*Kumamoto J. Math.*,**30**(2017), 7-14. - Globally analyzable Fuchsian differential equations,
*Sugaku Expositions*,**28**(2015), 49-72. - Rigidity of monodromies for Appell's hypergeometric functions (with Tatsuya Kikukawa),
*Opuscula Mathematica*,**35**(2015), 567-594. - Prolongability of ordinary differential equations,
*Journal of Nonlinear Mathematical Physics*,**20**Supplement 1 (2013), 70-84. - Regular coordinates and reduction of deformation equations for Fuchsian systems,
*Banach Center Publications*,**97**(2012), 39-58. - Topological theory for Selberg type integral associated with rigid Fuchsian systems (with Sho Hamaguchi),
*Math. Ann.***353**(2012), 1239-1271. - Middle convolution for completely integrable systems with logarithmic singularities
along hyperplane arrangements,
*Adv. Stud. Pure Math.***62**(2012), 109-136. - A connection problem for Simpson's even family of rank four (with Katsuhisa Mimachi),
*Funk. Ekvac.***54**(2011), 495-515. Correction - Generating systems for finite irreducible complex reflection groups (with Mitsuo Kato),
*Funk. Ekvac.***53**(2010), 435-488. - Studies on deformation of Fuchsian systems from the viewpoint of rigidity,
*RIMS Kokyuroku Bessatsu***B5**(2008), 51-60. - Rigidity for Appell's hypergeometric series F
_{4}(with Youichi Ueno),*Funk. Ekvac.***51**(2008), 149-164. Correction - Middle convolution and deformation for Fuchsian systems (with Galina Filipuk),
*J. London Math. Soc.***76**(2007), 438-450. - Construction of rigid local systems and integral representations of their sections (with Toshiaki Yokoyama),
*Math. Nachr.***279**(2006), 255-271. - On confluences of hypergeometric integrals,
*Kumamoto J. Math.,***17**(2004), 1-8. - Evaluation of Stokes multipliers for a certain system of differential equations corresponding to a rigid local system,
*Funk. Ekvac.***46**(2003), 187-211. - Integral representations of solutions of differential equations free from accessory parameters,
*Adv. Math.***169**(2002), 187-240. - On rigidity of Pfaffian systems coming from Okubo systems (with Toshiaki Yokoyama),
*Kyushu J. Math.***55**(2001), 189-205. - Quadratic relations for confluent hypergeometric functions on
*Z*_{2, n+1},*Funk. Ekvac.***42**(1999), 435-490. - Monodromy of an Okubo system with non-semisimple exponents,
*Funk. Ekvac.***40**(1997), 435-457. - Confluence of cycles for hypergeometric functions on
*Z*_{2, n+1},*Trans. Amer. Math. Soc.***349**(1997), 675-712. - Irreducibility of accessory parameter free systems,
*Kumamoto J. Math.***8**(1995), 153-170. - Monodromy representations of systems of differential equations free from accessory parameters,
*SIAM J. Math. Anal.***25**(1994), 1595-1621. - Canonical forms of differential equations free from accessory parameters,
*SIAM J. Math. Anal.***25**(1994), 1203-1226. - Finite monodromy of Pochhammer equation,
*Ann. Inst. Fourier***44**(1994), 767-810. - On contiguity relations of the confluent hypergeometric systems (with Hironobu Kimura and Kyoichi Takano),
*Proc. Japan Acad.***70, Ser. A**(1994), 47-49. - On confluences of the general hypergeometric systems (with Hironobu Kimura and Kyoichi Takano),
*Proc. Japan Acad.***69, Ser. A**(1993), 99-104. - Contiguity relations of generalized confluent hypergeometric functions (with Hironobu Kimura),
*Proc. Japan Acad.***69, Ser. A**(1993), 105-110. - The generalized confluent hypergeometric functions (with Hironobu Kimura and Kyoichi Takano),
*Proc. Japan Acad.***68, Ser. A**(1992), 290-295. - G-primitive extensions for linear ordinary differential equations,
*Kumamoto J. Math.***3**(1990), 1-9. - The Galois theory for linear homogeneous partial differential equations of the first order,
*Funk. Ekvac.***33**(1990), 79-126. - Theorems of Sibuya-Malgrange type for Gevrey functions of several variables,
*Funk. Ekvac.***32**(1989), 365-388.

**I am studying on**

- Extension of Katz theory on rigid local systems to holonomic systems
- Asymptotic analysis of irregular holonomic systems
- Construction of rigid local systems and study of their properties
- General confluent hypergeometric functions in universal viewpoint

**Organizer**

- "Invitation to Mathematics" Extenson Lectures at Kumamoto University (Every summer since1996)
- Seminar on Global Analysis at Kumamoto University
- "Various Aspects of Special Functions" Symposium at Kumamoto University, November 1992.
- "Deformation of differential equations and asymptotic analysis" Symposium at RIMS (Research Institute for Mathematical Sciences), 3-7 June 2002.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 20-22 June 2006.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 8-10 October 2007.
- "Workshop on Accessory Parameters" Symposium at Kumamoto University, 2-24 Feburary 2009.
- "Workshop on Accessory Parameters" Symposium at Tambara Institute of Mathematical Sciences, 18-22 June 2009.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 15-17 March 2010.
- "Workshop on Accessory Parameters" Symposium at Tambara Institute of Mathematical Sciences, 9-13 October 2010.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 17-19 March 2011.
- "Workshop on Accessory Parameters" Symposium at Tambara Institute of Mathematical Sciences, 8-11 October 2011.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 15-17 March 2012.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 15-17 March 2013.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 8-10 March 2014.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 13-15 March 2015.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 22-24 March 2016.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 15-17 March 2017.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 14-16 March 2018.
- "Studies on Accessory Parameters" Symposium at Kumamoto University, 13-15 March 2019.

**Curriculum Vitae**

- Born May 8, 1957, Otaru, Hokkaido, Japan
- Education
- BS 1981, University of Tokyo
- MS 1983, University of Tokyo
- DS 1988, University of Tokyo
- Employment
- 1988-1994, Assistant Professor, Graduate School of Science and Technology, Kumamoto University
- 1994-1997, Associate Professor, College of General Education, Kumamoto University
- 1997-2002, Associate Professor, Department of Mathematics, Kumamoto University
- 2003-present, Professor, Department of Mathematics, Kumamoto University