RESEARCH
My research centers on the interface of algebra, topology, and combinatorics. I am mainly interested in algebraic invariants of objects in low-dimensional topology such as knots and 3-manifolds. This also includes invariants of objects in graph theory or topological graph theory, such as graph polynomials and ribbon graph invariants.
PAPERS, PREPRINTS, AND PROCEEDINGS:
- S. Chmutov, Q. Deng, J. A. Ellis-Monaghan, S. Lando, W. Moltmaker, Thistlethwaite Theorems for Knotoids and Linkoids (ArXiv)
- M. Elhamdadi, W. Moltmaker, M. Saito, Planar Equivalence of Knotoids and Quandle Invariants (Accepted pending minor revision in Topology and its Applications, ArXiv)
- J. A. Ellis-Monaghan, N. Gügümcü, L. H. Kauffman & W. Moltmaker, The Mock Alexander Polynomial for Knotoids and Linkoids (ArXiv)
- W. Moltmaker & L. H. Kauffman, On Vassiliev Invariants of Virtual Knots (Topology and its Applications, ArXiv)
- W. Moltmaker & R. I. van der Veen, New Quantum Invariants of Planar Knotoids (Communications in Mathematical Physics, ArXiv)
- W. Moltmaker, Framed Knotoids and Their Quantum Invariants (Communications in Mathematical Physics, ArXiv)
- W. Moltmaker, A Hopf algebra approach to q-Deformation of Physics (Bachelor's Thesis, unpublished)
CONFERENCES, SEMINARS, ETC.:
- Conference on Topology and Knot Theory, with Applications in Molecular Design. Click here for details.
- Vincent Schmeits and I organize the KdVI Discrete Mathematics Seminar. Click here for dates and details.
- Dutch Day of Combinatorics (local organizer)
$\hat{W}_{\mathfrak{g},\rho} (\check{Z}(K)) = Q^{\mathfrak{g},\rho}(K)\big\vert_{q=e^{h/2}}$
$\mathfrak{g} = \mathfrak{h}\oplus \left(\bigoplus_{\alpha\in\Phi} \mathfrak{g}_\alpha\right)$
$\sum_{i\in\mathbb{Z}} (-1)^i \text{qdim}(KH^{i,j}(D)) = \hat{J}(D)$