Publications

1. The algebra of multiple divisor functions and applications to multiple zeta values​   (2016)
   (with U. K​ühn), Ramanujan J. 40 (3), 605-648​.
   ​Journal link,  Arxiv link.
2. On multiple series of Eisenstein type​   (2017)
   (with H. Tsumura), Ramanujan J. 42 (2), 479-489.
   Journal link,  Arxiv link.
3. The double shuffle relations for multiple Eisenstein series​   (2017)
   (with K. Tasaka), Nagoya Math. J. 230, 180-212.
   ​Journal link,  Arxiv link.
4. Multiple Eisenstein series and q-analogues of multiple zeta values   (2020)
   Periods in Quantum Field Theory and Arithmetic, Springer Proceedings in Mathematics & Statistics 314,  173-235.
   Journal link, download.
5. A dimension conjecture for q-analogues of multiple zeta values  (2020)
   (with U. K​ühn), Periods in Quantum Field Theory and Arithmetic, Springer Proceedings in Mathematics & Statistics 314,  237-258.
   Journal link, ​Arxiv link.
6. Interpolated Schur multiple zeta values   (2018)
   J. Aust. Math. Soc. 104, 289-307.
   Journal link​.
7. Checkerboard style Schur multiple zeta values and odd single zeta values   (2018)
   (with Y. Yamasaki), Math. Zeitschrift 290 (3), 1173-1197.
   Journal link, Arxiv link​.
8. ​Rooted tree maps and the derivation relation for multiple zeta values   (2018)
   (with T. Tanaka), Int. J. Number Theory 14 (10), 2657-2662.
   ​​Journal link, Arxiv link.
9. Cyclotomic analogues of finite multiple zeta values  (2018)
   (with Y. Takeyama, K. Tasaka), Compositio Math. 154 (12), 2701-2721.
   Journal link, Arxiv link​.
10. The algebra of bi-brackets and regularized multiple Eisenstein series (2019)
    J. Number Theory 200, 260-294.
    Journal link, Arxiv link.
11. Rooted t​ree maps and the Kawashima relations for multiple zeta values (2020)
    (with T. Tanaka), Kyushu J. Math 74 (1), 169-176.
    Arxiv link.
12. Special values of finite multiple harmonic q-series at roots of unity (2020)
    (with Y. Takeyama, K. Tasaka), IRMA Lectures in Mathematics and Theoretical Physics 31, "Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Vol. 2", 1-18. 
     ​Journal link, Arxiv link.
13. Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values (2020)
    (with S. Charlton), to appear in European Journal of Combinatorics.
     Arxiv link.

Papers & Notes (non-refereed)

1. Finite multiple harmonic q-series at roots of unity and finite & symmetric multiple zeta values (2019)
   (with Y. Takeyama, K. Tasaka), Proceedings of the MSJ Autumn Meeting 2019. download.
2. Double shuffle relations for q-analogues of multiple zeta values, their derivatives and the connection to multiple Eisenstein series  (2016)
   RIMS Kôkyûroku, No. 2015, pp 22-43, ​Arxiv link​.
3. A short note on a conjecture of Okounkov about a q-analogue of multiple zeta values   (2014)
   ​(with U. K​ühn), ​Arxiv link​​.

 Preprints

1. Modular forms and q-analogues of modified double zeta values (2018)
   Arxiv link.​
2. Finite and symmetric Mordell-Tornheim multiple zeta values (2020)
   (with Y. Takeyama, K. Tasaka), Arxiv link.

Thesis

• Multiple Eisenstein series and q-analogues of multiple zeta values  (PhD Thesis, 2015)
  Download
  Defense slides
• Multiple Zeta-Werte und die Verbindung zu Modulformen durch Multiple Eisensteinreihen  (Masterthesis , 2012)
  ​Download​​

Last update: 28th March 2020