Research

Publications

  1. M. Harper, T. Kerler.
    Hopf ideals, integrality, and automorphisms of quantum groups at roots of 1.
    arxiv:2512.23503
  2. M. Harper, B.-M. Kohli, J. Song, G. Tahar.
    On some log-concavity properties of the Alexander-Conway and Links-Gould invariants.
    arXiv:2509.16868
  3. S. Garoufalidis, M. Harper, R. Kashaev, B.-M. Kohli, E. Wagner.
    On the colored Links-Gould polynomial.
    arXiv:2509.10911
  4. M. Harper, E. Kalfagianni.
    On the quantum \(\mathfrak{sl}_3\) invariant of positive links.
    To appear in Algebraic & Geometric Topology. arXiv:2508.15153
  5. S. Garoufalidis, M. Harper, R. Kashaev, B.-M. Kohli, J. Song, G. Tahar.
    Skein theory for the Links-Gould polynomial.
    To appear in Journal of the London Mathematical Society. arXiv:2505.19251
  6. S. Garoufalidis, M. Harper, B.-M. Kohli, J. Song, G. Tahar.
    Extending knot polynomials of braided Hopf algebras to links.
    arXiv:2505.01398
  7. F. Costantino, M. Harper, A. Robertson, M. B. Young.
    Non-semisimple topological field theory and \(\hat{Z}\)-invariants from \(\mathfrak{osp}(1|2)\).
    Letters in Mathematical Physics (2026). arXiv:2407.12181
  8. M. Harper, P. Samuelson.
    The Temperley-Lieb tower and the Weyl algebra.
    Journal of the London Mathematical Society (2025). arXiv:2401.02545
  9. M. Harper.
    A non-abelian generalization of the Alexander polynomial from quantum \(\mathfrak{sl}_3\).
    SIGMA: Symmetry, Integrability, Geometry: Methods and Applications (2026). arXiv:2008.06983
  10. M. Harper.
    Seifert–Torres type formulas for the Alexander polynomial from quantum \(\mathfrak{sl}_2\).
    Topology and its Applications (2022). arXiv:1911.00646
  11. M. Harper.
    Verma modules for restricted quantum groups at a fourth root of unity.
    arXiv:1911.00641

Undergraduate Publications

  1. M. Harper, L. Zamick.
    Scissors mode from a different perspective.
    Physical Review C (2015). arXiv:1501.03788
  2. S. J. Q. Robinson, C. Fan, M. Harper, L. Zamick.
    On the vibrational model of \(^\text{92}\)Pd and comparison with \(^\text{48}\)Cr.
    International Journal of Modern Physics E (2021). arXiv:1411.1390
  3. L. Zamick, Y. Y. Sharon, S. J. Q. Robinson, M. Harper.
    Consequences of omitting spin-orbit partner configurations for \(B(E2)\) values and quadrupole moments in nuclei.
    Physical Review C (2015). arXiv:1410.6145
  4. M. Harper, L. Zamick.
    \(J = 0, T = 1\) pairing-interaction selection rules.
    Physical Review C (2015). arXiv:1408.4016
  5. L. Zamick, M. Harper.
    Wave functions of the \(Q\cdot Q\) interaction in terms of unitary 9-\(j\) coefficients.
    Physical Review C (2015). arXiv:1306.4661