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. U_q(sl(2))-quantum invariants from an intersection of two Lagrangians in a symmetric power of a surface, 41 pages,
To appear Transactions of the American Mathematical Society

Preprints
7. Coloured Jones and Alexander polynomials as topological intersections of cycles in configuration spaces, math.GT arXiv:2002.09390, 47 pages, (2020). Submitted

8. ADO invariants directly from partial traces of homological representations, math.GT arXiv:2007.15616, 16 pages, (2020). Submitted

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

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

11. Witten-Reshetikhin-Turaev invariants for 3-manifolds from Lagrangian intersections in configuration spaces, math.GT arXiv:2104.02049, 28 pages, (2021). Submitted

12. 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, (2022). 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