Combinatorial manifolds are discrete analogues of smooth manifolds, constructed from simplicial complexes or well‐behaved polyhedral pieces that satisfy local topological criteria. These structures ...

The past decade has seen trisections emerge as a transformative method for dissecting four-manifolds into three interlocking four-dimensional handlebodies. This approach, analogous to Heegaard ...

In the field of Differential Geometry we are concerned with Riemannian manifolds or more generally (inner) metric spaces. We are interested in the interplay between their curvature and global ...

The main result is that an s-cobordism (topological or smooth) of 4-manifolds has a product structure outside a "core" sub-s-cobordism. These cores are arranged to have quite a bit of structure, for ...

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...

My published papers on orcid.org. My preprints on arxiv.org. My courses on Learnweb. Current Projects • EXC 2044 - T02: Moduli spaces in arithmetic and geometry The term “moduli space” was coined by ...

Tom Lee works for the University of Technology Sydney and at times receives funding and support for his research and writing. Kate Scardifileld’s current exhibition Soft Topologies at the UTS Gallery ...