Research

Research Papers:

1. Y.-T. Chen and R. Harada, 'On lower bounds of the dimension of multizeta values in positive characteristic',
   Doc. Math. (26), 537-559 (2021), Arxiv/Journal.

2. Y.-T. Chen and O. Gezmis, 'On Drinfeld modular forms of higher rank and quasi-periodic functions',
   Trans. Amer. Math. Soc. (375), No. 4, 2387-2416 (2022), Arxiv/Journal.

3. C.-Y. Chang, Y.-T. Chen and Y. Mishiba, 'Algebra structure of multiple zeta values in positive characteristic',
   Camb. J. Math. (10), No. 4, 743-783 (2022), Arxiv/Journal.

4. Y.-T. Chen, 'Integrality of v-adic multiple zeta values',
   Publ. Res. Inst. Math. Sci. (59), No. 1, 123-151 (2023), Arixv/Journal.

5. Y.-T. Chen, 'Linear equations on Drinfeld modules',
   Adv. Math. (423), Art. 109039 (2023), Arxiv/Journal.

6. C.-Y. Chang, Y.-T. Chen and Y. Mishiba, 'On Thakur's basis conjecture for multiple zeta values in positive characteristic',
   Forum Math. Pi. (11), e26, (2023), Arxiv/Journal.

7. Y.-T. Chen, 'On Furusho's analytic continuation of Drinfeld logarithms',
   Math. Z. (307), No. 48, (2024), Arxiv/Journal.

8. Y.-T. Chen, 'A variant of v-adic Anderson-Brownawell-Papanikolas linear independence criterion and its application',
   Accepted for publication in Math. Res. Lett., Arxiv.

9. Y.-T. Chen and O. Gezmis, 'On the partial derivatives of Drinfeld modular forms of arbitrary rank',
   submitted, 2022, Arxiv.

10. Y.-T. Chen and R. Harada, 'Linear relations among algebraic points on tensor powers of the Carlitz module',
    submitted, 2023, Arxiv.

11. Y.-T. Chen and O. Gezmis, 'Nearly holomorphic Drinfeld modular forms and their special values at CM points',
    submitted, 2023, Arxiv.

12. Y.-T. Chen and C. Namoijam, 'On the third kind periods for abelian t-modules', preprint.

Conference Proceedings:

1. Y.-T. Chen, 'On v-adic multiple zeta values in positive characteristic',
   RIMS Kokyuroku, No. 2160 (2020), pp 79-86.

2. Y.-T. Chen, 'Linear relations among algebraic points on Drinfeld modules',
   RIMS Kokyuroku, No. 2225 (2022), pp 31-36.

Meetings Organized:

• Algebra and Number Theory Seminar
  (Co-organized with Leonhard Hochfilzer and Mihran Papikian)
  Penn State University, Spring 2024

• Workshop on Number Theory in Function Fields
  (Co-organized with Changningphaabi Namoijam and Mihran Papikian)
  Penn State Univsersity, Mar. 12-13, 2024

Talk List:

• Arithmetic of Function Fields and Diophantine Geometry (Contributed talk).
  National Center of Theoretical Science, May 20-24, 2019.

• Various Aspects of Multiple Zeta Values.
  Research Institute for Mathematical Sciences, Nov. 18-22, 2019.

• East Asian Core Doctoral Forum on Mathematics.
  Kavli IPMU, Jan. 14-17, 2020.

• Japan-Taiwan Joint Workshop on Multiple Zeta Values. 
  Okinawaken Seinenkaikan, Naha, Feb. 8-11, 2020.

• Kyushu Workshop on Algebraic Number Theory,
  University of Kyushu (Online Workshop via Zoom), August 8-11, 2020.

• The Taiwan Number Theory Symposium.
  National Tsing Hua University. Sept. 9-11, 2020.

• Young Researchers in Algebraic Number Theory 2021
  University of Bristol (Online Conference via Zoom), August 18-20, 2021

• Number Theory Seminar at Texas A&M University.
  Texas A&M University, November 10, 2021.

• NCTS Seminar on Number Theory.
  National Center of Theoretical Sciences (Online Talk via Cisco Webex), December 2, 2021.

• Algebraic Number Theory and Related Topics.
  Research Institute for Mathematical Sciences (Online Talk via Zoom), December 13-17, 2021.

• Algebra and Number Theory Seminar at Penn State University.
  Penn State University, March 17, 2022.

• NTHU Math Colloquium.
  National Tsing Hua University (Online Talk via Google Meet), May 20, 2022.

• One-Day Workshop on Arithmetic of Function Fields.
  Nagoya University, November 19, 2022.

• Number Theory Seminar at Texas A&M University.
  Texas A&M University, December 8, 2022.

• The 10th NCTS-POSTECH-PMI Joint Workshop on Number Theory.
  National Certer for Theoretical Science (Online talk via Cisco Webex), December 28-30, 2022.

• FGC-HRI-IPM Number Theory Webinars.
  (Online talk via Zoom), January 16, 2023.

• Number Theory Seminar at Texas A&M University.
  Texas A&M University, March 9, 2023.

• Eleventh Annual Upstate NY Number theory Conference.
  University of Rochester, April 1-2, 2023.

• NCTS Seminar on Number Theory.
  National Center of Theoretical Sciences (Online Talk via Cisco Webex), April 27, 2023.

• Pan Asian Number Theory Conference.
  Harbin Institute of Technology (Online Talk via Zoom), August 1-5, 2023.

• Algebra and Number Theory Seminar at Penn State University.
  Penn State University, September 5, 2023.

• Number Theory Seminar at Texas A&M University.
  Texas A&M University, November 21, 2023.

• NCTS Seminar on Number Theory.
  National Tsing Hua University (Hybrid Talk via Cisco Webex), December 21, 2023