OKAZAKI Takeo
Faculty Division of Natural Sciences Research Group of Mathematics | Associate Professor |
Last Updated :2025/06/13
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Profile Information
Name (Japanese)
OkazakiName (Kana)
Takeo
Education
■Ⅱ.研究活動実績
Published Papers
- Refereed, Advances in Theoretical and Mathematical Physics, International Press of Boston, Inc., On some Siegel threefold related to the tangent cone of the Fermat quartic surface, Takeo Okazaki; Takuya Yamauchi, 2017, 21, 3, 585, 630, Scientific journal, 10.4310/ATMP.2017.v21.n3.a1
- Refereed, AMERICAN JOURNAL OF MATHEMATICS, ENDOSCOPIC LIFTS TO THE SIEGEL MODULAR THREEFOLD RELATED TO KLEIN'S CUBIC THREEFOLD, Takeo Okazaki; Takuya Yamauchi, Feb. 2013, 135, 1, 183, 205, Scientific journal
- Refereed, J. Number Theory, $L$-functions of $S_3(\G(2,4,8))$, OKAZAKI Takeo, 2012, 132, 54-78
- Refereed, Math. Ann, Saito-Kurokawa type lift to $S_3(\Gamma^{1,3}(2))$, OKAZAKI Takeo; T. Yamauchi, 2008, 208, 589-601
- Refereed, JOURNAL OF NUMBER THEORY, L-functions of S-3(Gamma(4, 8)), Takeo Okazaki, Jul. 2007, 125, 1, 117, 132, Scientific journal, 10.1016/j.jnt.2006.11.005
- Refereed, AMERICAN JOURNAL OF MATHEMATICS, Proof of R. Salvati Manni and J. Top's conjectures on Siegel modular forms and Abelian surfaces, T Okazaki, Feb. 2006, 128, 1, 139, 165, Scientific journal
MISC
- Not Refereed, ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, On some Siegel threefold related to the tangent cone of the Fermat quartic surface, Takeo Okazaki; Takuya Yamauchi, 2017, 21, 3, 585, 630
- Not Refereed, Advances in Theoretical and Mathematical Physics, フェルマー4次曲面の接錐に関するジーゲル3次元多様体について, OKAZAKI Takeo, 2017, 21, 3
- RIMS Kokyuroku, Kyoto University, New Forms for $GU(2,2)$ (Modular forms and automorphic representations), Okazaki Takeo, Nov. 2015, 1973, 131, 140
- Not Refereed, AMERICAN JOURNAL OF MATHEMATICS, ENDOSCOPIC LIFTS TO THE SIEGEL MODULAR THREEFOLD RELATED TO KLEIN'S CUBIC THREEFOLD (vol 135, pg 183, 2013), Takeo Okazaki; Takuya Yamauchi, Aug. 2015, 137, 4, 1147, 1147, Others, 10.1353/ajm.2015.0030
- RIMS Kokyuroku, Kyoto University, Jacquet-Langlands-Shimizu correspondence for theta lifts to $GSp$(2) and its inner forms : with an appendix by Ralf Schmidt (Automorphic forms and automorphic L-functions), Narita Hiro-aki; Okazaki Takeo, Mar. 2013, 1826, 36, 50
- Not Refereed, AMERICAN JOURNAL OF MATHEMATICS, ENDOSCOPIC LIFTS TO THE SIEGEL MODULAR THREEFOLD RELATED TO KLEIN'S CUBIC THREEFOLD, Takeo Okazaki; Takuya Yamauchi, Feb. 2013, 135, 1, 183, 205, 10.1353/ajm.2013.0002
- Not Refereed, American Journal of Mathematics, Endoscopic lifts to the siegel modular threefold related to Klein's cubic threefold, Takeo Okazaki; Takuya Yamauchi, Feb. 2013, 135, 1, 183, 205, 10.1353/ajm.2013.0002
- Not Refereed, 2012, 132, 54, 78
- Not Refereed, JOURNAL OF NUMBER THEORY, L-functions of S-3 (Gamma(2)(2, 4, 8)), Takeo Okazaki, Jan. 2012, 132, 1, 54, 78, 10.1016/j.jnt.2011.06.015
- RIMS Kokyuroku, Kyoto University, $\theta$-correspondence for PGSp(4) and PGU(2,2) (Automorphic forms, trace formulas and zeta functions), OKAZAKI TAKEO, Oct. 2011, 1767, 96, 102
- RIMS Kokyuroku, Kyoto University, Paramodular form on $GSp(2, \mathbb{A})$ (Automorphic representations, automorphic $L$-functions and arithmetic), OKAZAKI TAKEO, Jul. 2009, 1659, 27, 36
- RIMS Kokyuroku, Kyoto University, Base change lift type spinor L-functrion of $GSp_2(\mathbb{Q})$ (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics), Okazaki Takeo, Oct. 2008, 1617, 187, 192
- Not Refereed, MATHEMATISCHE ANNALEN, A Siegel modular threefold and Saito-Kurokawa type lift to S-3(Gamma(1,3)(2)), Takeo Okazaki; Takuya Yamauchi, Jul. 2008, 341, 3, 589, 601, 10.1007/s00208-007-0204-1
- Not Refereed, 2007, 125, 117, 132
- Not Refereed, J. Number theory, On L-functions of $S_3(\Gamma_2(4,8))$, OKAZAKI Takeo, 2007, 125, 117, 132
- Not Refereed, American Journal of Mathematics, Proof of R. Salvati Manni and J. Top's conjectures on siegel modular forms and abelian surfaces, Takeo Okazaki, Feb. 2006, 128, 1, 139, 165, 10.1353/ajm.2006.0008
- Not Refereed, 2006, 128, 139, 165, 10.1353/ajm.2006.0008
Presentations
- OKAZAKI Takeo; Takeo Okazaki, New Forms for some algebraic groups, Mar. 2017, False
- OKAZAKI Takeo; TAKEO OKAZAKI, RIMS workshop ``Modular forms and Automorphic Representations’’, NewForm for GU(2,2), Feb. 2015
- OKAZAKI Takeo; Takeo Okazaki, Triple Geometric Automorphic forms on SU(2,2), Mar. 2012, False
- OKAZAKI Takeo, Newforms for GSp(4), Feb. 2012, False
Research Projects
- Grant-in-Aid for Scientific Research (C), 01 Apr. 2015 - 31 Mar. 2020, 15K04783, Newform Theory for automorphic forms and its applications to Iwasawa Theory, Okazaki Takeo, Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Nara Women's University, 4550000, 3500000, 1050000, I tried to construct a newform theory for irreducible admissible representations of GSp(4), that is Siegel modular forms of degree 2 in the classical sense. I have completed to the construction for the generic case, which is a generalization of Roberts and Schmidt for PGSp(4), and for the Saito-Kurokawa lifts, a non-generic case., kaken
- Grant-in-Aid for Young Scientists (B), 01 Apr. 2012 - 31 Mar. 2015, 24740017, Automorphic forms, algebraic varieties and Iwasawa theory, OKAZAKI Takeo; YAMAUCHI Takuya, Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Nara Women's University, 2600000, 2000000, 600000, We established functional equations for automorphic representations of GU(2,2), and a New form theory corresponding to them. We call D-paramodular subgroups which fix the new forms. In particular, when the automorphic representation is distinguished, it has a D-paramodular Shalika period. By considering the theta correspondence between GSp(4) and GU(2,2), we give a proof for a conjecture of van Geemen and van Straten., kaken
- 若手研究(B), 2007 - 2007, 19740014, 代数多様体と保型形式の関係や構成, 岡崎 武生, 日本学術振興会, 科学研究費助成事業, 大阪大学, 1000000, 1000000, kaken
- 保型形式と岩澤理論, 0, 0, 0, Competitive research funding