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   (2018)
    to appear in "Periods in Quantum Field Theory and Arithmetic".
    Arxiv Link
  5. A dimension conjecture for q-analogues of multiple zeta values  (2018)
    (with U. K​ühn), to appear in "Periods in Quantum Field Theory and Arithmetic".
    ​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 (2019)
    (with T. Tanaka),     to appear in Kyushu Journal of Mathematics​.
    Arxiv Link ​

Papers & Notes (non-refereed)

  1. 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​
  2. 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, ​Submitted
  2. Special values of finite multiple harmonic q-series at roots of unity (2018)
    (with Y. Takeyama, K. Tasaka), ​Arxiv Link, Submitted

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
​