2026. Darij Grinberg, Benjamin Liber. An equality for balanced digraphs (last updated May 18, 2026). arXiv:2507.22388. The Electronic Journal of Combinatorics, 33, 2026, issue 3, P3.19.
2026. Darij Grinberg, Peter Mao. Necklaces over a group with identity product (last updated August 4, 2026). arXiv:2405.08937. Journal of Integer Sequences 29 (2026), Article 26.4.6.
2026. Darij Grinberg. The representation theory of somewhere-to-below shuffles (last updated April 17, 2026). arXiv:2508.00752. The Electronic Journal of Combinatorics, 33, 2026, issue 2, P2.55.
2024. Darij Grinberg, Ekaterina A. Vassilieva. The enriched q-monomial basis of the quasisymmetric functions (last updated June 5, 2026). arXiv:2309.01118. The Electronic Journal of Combinatorics, 31, 2024, issue 4, P4.20.
2024. Darij Grinberg. The entry sum of the inverse Cauchy matrix (last updated June 6, 2026). arXiv:2301.09777. The Mathematical Intelligencer 46 (2024), no. 1, pp. 46--48.
2023. Darij Grinberg, Tom Roby. Birational rowmotion on a rectangle over a noncommutative ring (last updated June 17, 2026). arXiv:2208.11156. Combinatorial Theory 3, 2023, no. 7.
2023. Jonah Blasiak, Omesh Dhar Dwivedi, Darij Grinberg. Multislant matrices and Jacobi--Trudi determinants over finite fields (last updated June 7, 2023). arXiv:2302.07239. Finite Fields and Their Applications 91, 2023, 102262.
2023. Darij Grinberg. On the square of the antipode in a connected filtered Hopf algebra (last updated June 16, 2026). arXiv:2109.02101v2. Communications in Mathematics 31 (2023), issue 1, article 10431.
2022. Darij Grinberg. Elemente der Mathematik Problem 1414: gcds of recursively defined sequences (with solution) (last updated July 14, 2022). Elemente der Mathematik 77 (2022), pp. 146--152.
2022. Darij Grinberg. On the principal minors of the powers of a matrix (last updated July 3, 2026). arXiv:2204.07885. Gazeta Matematica 2022, issue 1-2, pp. 1--13.
2022. Omesh Dhar Dwivedi, Darij Grinberg. On the rank of Hankel matrices over finite fields (last updated June 6, 2026). arXiv:2109.05415. Linear Algebra and its Applications 641, 15 May 2022, pp. 156--181.
2022. Darij Grinberg. Petrie symmetric functions (last updated June 15, 2026). arXiv:2004.11194. Algebraic Combinatorics 5 (2022), no. 5, pp. 947--1013.
2022. Darij Grinberg, Zhi-Wei Sun, Lilu Zhao. Proof of three conjectures on determinants related to quadratic residues (last updated November 16, 2020). arXiv:2007.06453. Linear and Multilinear Algebra 70 (2022), no. 19, pp. 3734--3746.
2022. Darij Grinberg, Nadia Lafrenière. The one-sided cycle shuffles in the symmetric group algebra (last updated June 12, 2026). arXiv:2212.06274. Algebraic Combinatorics 7 (2024), no. 2, pp. 275--326.
2021. Darij Grinberg. A double Sylvester determinant (last updated June 9, 2026). arXiv:1901.11109. Ars Mathematica Contemporanea 20 (2021), no. 2, pp. 261--274.
2021. Darij Grinberg, Fedor Petrov. A greedoid and a matroid inspired by Bhargava's p-orderings (last updated June 13, 2026). arXiv:1909.01965. The Electronic Journal of Combinatorics 28(3) (2021), #P3.6.
2021. Alberto Dennunzio, Enrico Formenti, Darij Grinberg, Luciano Margara. Integrality of matrices, finiteness of matrix semigroups, and dynamics of linear cellular automata (last updated June 16, 2026). arXiv:1907.08565. Parts of this preprint have been incorporated into An efficiently computable characterization of stability and instability for linear cellular automata, Journal of Computer and System Sciences 122 (2021), pp. 63--71.
2021. Darij Grinberg. The Elser nuclei sum revisited (last updated August 6, 2026). arXiv:2009.11527. Discrete Mathematics & Theoretical Computer Science 23 (2021), no. 1, article 7012.
2021. Darij Grinberg. The Pelletier--Ressayre hidden symmetry for Littlewood--Richardson coefficients (last updated June 15, 2026). arXiv:2008.06128. Combinatorial Theory 1 (2021), no. 16.
2020. Darij Grinberg, Jia Huang, Victor Reiner. Critical groups for Hopf algebra modules (last updated June 13, 2026). arXiv:1704.03778. Mathematical Proceedings of the Cambridge Philosophical Society 168 (2020), no. 3, pp. 473--503.
2020. Erik Aas, Darij Grinberg, Travis Scrimshaw. Multiline queues with spectral parameters (last updated April 15, 2026). arXiv:1810.08157. Communications in Mathematical Physics 374 (2020), no. 3, pp. 1743--1786.
2020. Darij Grinberg. The Bhargava greedoid as a Gaussian elimination greedoid (last updated June 19, 2026). arXiv:2001.05535. The Electronic Journal of Combinatorics 31(2) (2024), #P2.28.
2019. Alberto Dennunzio, Enrico Formenti, Darij Grinberg, Luciano Margara. On coprime characteristic polynomials over finite fields (last updated June 16, 2026). This is a (slightly rewritten) self-contained fragment of the paper Alberto Dennunzio, Enrico Formenti, Darij Grinberg, Luciano Margara, Chaos and ergodicity are decidable for linear cellular automata over (Z/mZ)n, Information Sciences 539 (2020), pp. 136--144..
2019. Darij Grinberg, Peter Olver. The n body matrix and its determinant (last updated March 2, 2019). arXiv:1802.02900. SIAM Journal on Applied Algebra and Geometry 3(1), 2019, pp. 67--86.
2018. Darij Grinberg. Shuffle-compatible permutation statistics II: the exterior peak set (last updated September 1, 2026). arXiv:1806.04114. Electronic Journal of Combinatorics 25 (2018), Issue 4, Paper #P4.17.
2017. Darij Grinberg. Double posets and the antipode of QSym (last updated June 21, 2026). arXiv:1509.08355. The Electronic Journal of Combinatorics 24, Issue 2 (2017), Paper #P2.22.
2017. Darij Grinberg. Dual immaculate creation operators and a dendriform algebra structure on the quasisymmetric functions (last updated August 31, 2026). arXiv:1410.0079. Canadian Journal of Mathematics 69 (2017), no. 1, pp. 21--53.
2017. Darij Grinberg. On binomial coefficients modulo squares of primes (last updated June 28, 2026). arXiv:1712.02095. Integers: Electronic Journal of Combinatorial Number Theory 19 (2019), A14.
2017. Darij Grinberg, Alexander Postnikov. Proof of a conjecture of Bergeron, Ceballos and Labbé (last updated June 19, 2026). arXiv:1603.03138. New York Journal of Mathematics 23 (2017), pp. 1581--1610.
2017. Darij Grinberg. t-unique reductions for Mészáros's subdivision algebra (last updated June 19, 2026). arXiv:1704.00839. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 14 (2018), 078.
2016. James Borger, Darij Grinberg. Boolean Witt vectors and an integral Edrei-Thoma theorem (last updated December 11, 2015). arXiv:1311.5031v4. Selecta Mathematica 22(2), pp. 595--629.
2016. Darij Grinberg, Tom Roby. Iterative properties of birational rowmotion (last updated May 3, 2026). arXiv:1402.6178. (part 1) Electronic Journal of Combinatorics 23 (2016), Paper #P1.33; (part 2) Electronic Journal of Combinatorics 22 (2015), Paper #P3.40.
2016. Pavel Galashin, Darij Grinberg, Gaku Liu. Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions (last updated May 5, 2026). arXiv:1509.03803. The Electronic Journal of Combinatorics 23, Issue 3 (2016), Paper #P3.14.