Matthew C. Russell

View my profile at MathSciNet or Google Scholar.

Publications & Preprints

Integer partitions and \(q\)-series:

  1. On a pair of three-colored (mod 10) partition identities.
    Submitted. arXiv:2509.07169
  2. Tight cylindric partitions (joint with Shashank Kanade).
    Submitted. arXiv:2508.15113
  3. Remarks on the conjectures of Capparelli, Meurman, Primc and Primc (joint with Shashank Kanade, Shunsuke Tsuchioka, and S. Ole Warnaar).
    Submitted. arXiv:2404.03851
  4. A refinement of and a companion to MacMahon's partition identity.
    Electronic Journal of Combinatorics (2025) journal arXiv:2307.16753
  5. Companions to the Andrews-Gordon and Andrews-Bressoud identities, and recent conjectures of Capparelli, Meurman, Primc, and Primc.
    Submitted. arXiv:2306.16251
  6. Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities (joint with Katherine Baker, Shashank Kanade, and Christopher Sadowski).
    Algebraic Combinatorics (2023) journal arXiv:2208.14581
  7. Completing the \(A_2\) Andrews-Schilling-Warnaar identities (joint with Shashank Kanade).
    International Mathematics Research Notices (2023) journal arXiv:2203.05690
  8. On certain identities involving Nahm-type sums with double poles (joint with Shashank Kanade and Antun Milas).
    Advances in Applied Mathematics (2023) journal arXiv:2109.01909
  9. On \(q\)-series for principal characters of standard \(A_2^{(2)}\)-modules (joint with Shashank Kanade).
    Advances in Mathematics (2022) journal arXiv:2010.01008
  10. A complete generalization of Göllnitz's "big" theorem (joint with Terence Coelho and Jongwon Kim).
    Ramanujan Journal (2021) journal
  11. A variant of IdentityFinder and some new identities of Rogers-Ramanujan-MacMahon type (joint with Shashank Kanade and Debajyoti Nandi).
    Annals of Combinatorics (2019) journal arXiv:1902.00790
  12. Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type (joint with Shashank Kanade).
    Electronic Journal of Combinatorics (2019) journal arXiv:1803.02515
  13. An open problem of Corteel, Lovejoy, and Mallet (joint with Shashank Kanade and Kağan Kurşungöz).
    Springer Proceedings in Mathematics & Statistics: Analytic Number Theory, Modular Forms and \(q\)-Hypergeometric Series (2016) journal
  14. IdentityFinder and some new identities of Rogers-Ramanujan type (joint with Shashank Kanade).
    Experimental Mathematics (2015) journal arXiv:1411.5346 Maple package
  15. Ghost series and a motivated proof of the Andrews-Bressoud identities (joint with Shashank Kanade, James Lepowsky, Andrew V. Sills).
    Journal of Combinatorial Theory, Series A (2017), journal arXiv:1411.2048
  16. A motivated proof of the Göllnitz-Gordon-Andrews identities (joint with Bud Coulson, Shashank Kanade, James Lepowsky, Robert McRae, Fei Qi, and Christopher Sadowski).
    Ramanujan Journal (2017) journal arXiv:1411.2044

Other mathematics:

  1. Noncommutative recursions and the Laurent phenomenon.
    Advances in Applied Mathematics (2015) journal arXiv:1311.1141 Maple package
  2. On quantum perfect state transfer in weighted join graphs (joint with Ricardo Javier Angeles-Canul, Rachael M. Norton, Michael C. Opperman, Christopher C. Paribello, and Christino Tamon).
    International Journal of Quantum Information (2009) journal arXiv:0909.0431
  3. Perfect state transfer, integral circulants, and join of graphs (joint with Ricardo Javier Angeles-Canul, Rachael M. Norton, Michael C. Opperman, Christopher C. Paribello, and Christino Tamon).
    Quantum Information and Computation (2010) journal arXiv:0907.2148
  4. Comparing LP bounds for queueing networks (joint with Jeff Fraser, Stephen Rizzo, and Michael H. Veatch).
    IEEE Transactions on Automatic Control (2009). journal archive.org
  5. Colorability and determinants of T(m,n,r,s) twisted torus knots for n ≡ ± 1 (mod m) (joint with Matt DeLong and Jonathan Schrock).
    Involve (2015) journal

Physics and chemistry:

  1. The hinge-bending landscape of an enzyme in an atomistic cytoplasm simulation (joint with Premila P. Samuel Russell, Andrew K. Maytin, Meredith M. Rickard, Taras V. Pogorelov, and Martin Gruebele).
    Journal of Physical Chemistry Letters (2024) journal PubMed Central
  2. Using \(t \to b\overline{b} c\) to Search for New Physics (joint with Ken Kiers, Tal Knighton, David London, Alejandro Szynkman, and Kari Webster).
    Physical Review D (2011) journal arXiv:1107.0754

Doctoral thesis

My 2016 Ph.D. thesis "Using experimental mathematics to conjecture and prove theorems in the theory of partitions and commutative and non-commutative recurrences" is available at RUcore.