張介玉 清華大學 數學系

張介玉 教授 老師姓名 張介玉（Chieh-Yu Chang）
職　　稱 教授（國立清華大學 數學系）
最高學歷 國立清華大學數學博士
學術領域 數論、算術幾何；Drinfeld modules 與 t-motives；特徵 p 的函數體上的超越數論；正特徵多重 Zeta 值
電　　話 03-5166087 或 03-5715131 分機 33057
傳　　真 03-5166087
辦 公 室 綜三館 717 室
電子郵件 cychang@math.nthu.edu.tw

個人網頁 https://sites.google.com/gapp.nthu.edu.tw/cychang/
https://www.math.nthu.edu.tw/~cychang/
經歷摘要 學術職涯：
  • 國立清華大學數學系 教授（2017/08－迄今）
  • 國立清華大學數學系 副教授（2013/08－2017/07）
  • 國立清華大學數學系 助理教授（2011/10－2013/07）
  • 國家理論科學研究中心（NCTS）暨國立中央大學 數學組 博士後研究員（2007/10－2011/10）
研究興趣（摘要）：
  • Number Theory & Arithmetic Geometry
  • Arithmetic of Drinfeld Modules and t-Motives
  • Transcendence Theory over Function Fields / Positive Characteristic
  • Multiple Zeta Values in Positive Characteristic

個人著作

【期刊論文（Papers in Research Journals）】

  1. C.-Y. Chang and J. Yu, Algebraic relations among special zeta values in positive characteristic, Adv. Math. 216 (2007), 321-345.
  2. C.-Y. Chang, A note on a refined version of Anderson-Brownawell-Papanikolas criterion, J. Number Theory 129 (2009), 729-738.
  3. C.-Y. Chang, M. Papanikolas, D. Thakur and J. Yu, Algebraic independence of arithmetic gamma values and Carlitz zeta values, Adv. Math. 223 (2010), 1137-1154.
  4. C.-Y. Chang, M. Papanikolas and J. Yu, Geometric gamma values and zeta values in positive characteristic, Int. Math. Res. Notices 2010 (2010), 1432-1455.
  5. C.-Y. Chang and M. Papanikolas, Algebraic relations among periods and logarithms of rank 2 Drinfeld modules, Amer. J. Math. 133 (2011), 359-391.
  6. C.-Y. Chang, M. Papanikolas and J. Yu, Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic, Algebra & Number Theory 5 (2011), 111-129.
  7. C.-Y. Chang, Transcendence of special values of quasi-modular forms, Forum Math. 24 (2012), 539-551.
  8. C.-Y. Chang, Special values of Drinfeld modular forms and algebraic independence, Math. Ann. 352 (2012), 189-204.
  9. C.-Y. Chang and M. Papanikolas, Algebraic independence of periods and logarithms of Drinfeld modules. With an appendix by B. Conrad, J. Amer. Math. Soc. 25 (2012), 123-150.
  10. C.-Y. Chang, On periods of the third kind for rank 2 Drinfeld modules, Math. Z. 274 (2013), 921-933.
  11. C.-Y. Chang, Linear independence of monomials of multizeta values in positive characteristic, Compositio Math. 150 (2014), 1789-1808.
  12. C.-Y. Chang, Linear relations among double zeta values in positive characteristic, Cambridge J. Math. 4 (2016), No. 3, 289-331.
  13. C.-Y. Chang and Y. Mishiba, On finite Carlitz multiple polylogarithms, Journal de Théorie des Nombres de Bordeaux 29 (2017), 1049-1058. [Special Issue for David Goss]
  14. C.-Y. Chang, A. El-Guindy and M. Papanikolas, Log-algebraic identities on Drinfeld modules and special L-values, J. London Math. Soc. 97 (2018), no. 2, 125-144.
  15. C.-Y. Chang, M. Papanikolas and J. Yu, An effective criterion for Eulerian multizeta values in positive characteristic, J. Eur. Math. Soc. (JEMS) 21 (2019), no. 2, 405-440.
  16. C.-Y. Chang and Y. Mishiba, On multiple polylogarithms in characteristic p: v-adic vanishing versus ∞-adic Eulerianness, Int. Math. Res. Notices. IMRN (2019), no. 3, 923-947.
  17. C.-Y. Chang and Y. Mishiba, On a conjecture of Furusho over function fields, Inventiones mathematicae 223 (2021), 49-102.
  18. C.-Y. Chang, N. Green and Y. Mishiba, Taylor coefficients of Anderson-Thakur series and explicit formulae, Math. Ann. 379 (2021), 1425-1474.
  19. C.-Y. Chang, Y.-T. Chen and Y. Mishiba, Algebra structure of multiple zeta values in positive characteristic, Cambridge Journal of Mathematics Vol. 10, No. 4, 743-783, 2022.
  20. W. D. Brownawell, C.-Y. Chang, M. A. Papanikolas and F.-T. Wei, Function field analogue of Shimura's conjecture on period symbols, submitted 2022 [arXiv].
  21. C.-Y. Chang, Y.-T. Chen and Y. Mishiba, On Thakur's basis conjecture for multiple zeta values in positive characteristic, Forum of Mathematics, Pi (2023), Vol. 11:e26, 1–32.
  22. C.-Y. Chang, F.-T. Wei, and J. Yu, v-adic periods of Carlitz motives and Chowla-Selberg formula revisited, submitted 2024 [arXiv].

【會議論文／綜述（Survey Papers in Conference Proceedings）】

  1. C.-Y. Chang, On characteristic p multizeta values, RIMS Kokyuroku Bessatsu B51 (2014), 177-202. [pdf]
  2. C.-Y. Chang, Frobenius difference equations and difference Galois groups, EMS Ser. Congr. Rep., EMS Publishing House, Berlin, 2020, 261–295. [pdf]
  3. C.-Y. Chang, Periods, logarithms and multiple zeta values, International Press, Boston, MA, 2020, 159–181. [pdf]