Research
Here is some extra information on projects I have been involved in. Click the link for more details on the project. If you have any questions, please don’t hesitate to reach out!
With Lucas Piessevaux. Draft available here.
For any finite abelian group \(A\), we introduce a category of synthetic $A$-spectra, which generalizes the category of even \(\mathrm{MU}\)-synthetic spectra introduced by Pstrągowski. For any prime \(p\), we show that this category is \(p\)-complete equivalent to a cellular subcategory of the \(\mathbb{C}\)-motivic \(A\)-equivariant stable homotopy category, providing it with a purely topological model.
Undergraduate projects
These are some rough drafts from undergraduate research work. There are some known mistakes and possibly more unknown ones, but I’ll leave them here for now in case they can be of use.
Draft available here.
I investigated generalizations of the Curtis algorithm, an inductive process for computing the homology of the lambda algebra, to determining motivic Adams \(E_2\) pages.
Draft available here.
I studied a 1957 algorithm of E.H. Brown, which can be used to determine the homotopy groups of any space obtained as the realization of a finite simplicial set.
