Publications
1. Modified Turaev-Viro Invariants from quantum sl(2|1) (with Nathan Geer), 47 pages,
Journal of Knot Theory and Its Ramifications 29 4 2050018, (2020)

2. Renormalized Witten-Reshetikhin-Turaev invariants and m-traces associated to the special linear Lie superalgebra (with Nathan Geer and Bertrand Patureau-Mirand) 47 pages,
Journal of Algebra Volume 586, pg 479-525, (2021)

3. A combinatorial description of the centralizer algebras connected to the Links-Gould Invariant, 41 pages,
Algebraic & Geometric Topology 21, pg1553-1593, (2021)

4. A topological model for the coloured Jones polynomials, 50 pages,
Selecta Mathematica, New Series 28, 63 (2022)

5. A topological model for the coloured Alexander invariants, 49 pages,
Topology and its Applications Volume 329, 108465 (2023)

6. Witten-Reshetikhin-Turaev invariants for 3-manifolds from Lagrangian intersections in configuration spaces, math.GT arXiv:2104.02049, 39 pages,
Quantum Topology 14, no. 4, pp. 693-731,(2023)

7. U_q(sl(2))-quantum invariants from an intersection of two Lagrangians in a symmetric power of a surface, 41 pages,
Transactions of the American Mathematical Society, Volume 376, Number 10, 7139-7185 (2023)

8. ADO invariants directly from partial traces of homological representations, math.GT arXiv:2007.15616, 21 pages,
New York Journal of Mathematics 30, 481-501 (2024)

9. A globalisation of Jones and Alexander polynomials constructed from a graded intersection of two Lagrangians in a configuration space, math.GT arXiv:2205.07842, 32 pages,
Annales de l'Institut Fourier, To appear

10. Coloured Jones and Alexander polynomials as topological intersections of cycles in configuration spaces, https://doi.org/10.1016/j.aim.2024.109993, 71 pages,
Advances in Mathematics, 459 (2024) 109993..

Preprints
11. U_q(sl(2))-quantum invariants unified via intersections of embedded Lagrangians, arXiv:2010.05890, 28 pages, (2020), (Submitted).

12. Lawrence-Bigelow representations, bases and duality, (with Martin Palmer ), arXiv:2010.13759, 25 pages, (2020), (Submitted).

13. Universal coloured Alexander invariant from configurations on ovals in the disc, arXiv:2401.17245, 54 pages, (2024).

14. A topological model for the HOMFLY-PT polynomial (with. Christine Lee), arXiv:2401.17245, 58 pages, (2024), (Submitted).

Dissemination
  • London Mathematical Society Newsletter-- Featured Article, January 2023
    Quantum Knot Invariants Via the Topology of Configuration Spaces,

  • Research Case study, University of Oxford, August 2021
    • Quantum invariants via the topology of configuration spaces Web Analytics Made Easy - StatCounter