I am interested in homotopy theory and higher category theory, and related areas such as derived (algebraic) geometry and (topological) quantum field theories.
- The AKSZ construction in derived algebraic geometry as an extended TQFT (with Damien Calaque and Claudia Scheimbauer)
- The higher Morita category of enriched (∞,n)-categories
- Linear Batalin-Vilkovisky quantization as a functor of (∞,n)-categories (with Owen Gwilliam)
- Enriched homotopy-coherent structures (with Hongyi Chu)
- The universal property of bispans (with Elden Elmanto)
- Linear Batalin-Vilkovisky quantization as a functor of ∞-categories (with Owen Gwilliam)
- Two models for the homotopy theory of ∞-operads (with Hongyi Chu and Gijs Heuts)
- Iterated spans and classical topological field theories
- Lax colimits and free fibrations in ∞-categories (with David Gepner and Thomas Nikolaus)
- On the equivalence between Θn-spaces and iterated Segal spaces
- The higher Morita category of En-algebras
- On a spectral sequence for the cohomology of infinite loop spaces (with Haynes Miller)
- Bimodules and natural transformations for enriched ∞-categories
- Rectification of enriched ∞-categories
- Enriched ∞-categories via non-symmetric ∞-operads (with David Gepner)
- Homotopy-coherent algebra via Segal conditions (with Hongyi Chu)
- Shifted coisotropic correspondences (with Valerio Melani and Pavel Safronov)
- Segal spaces, spans, and semicategories
- ∞-operads as analytic monads (with David Gepner and Joachim Kock)
- ∞-operads via symmetric sequences
- Enriched ∞-operads (with Hongyi Chu)
- Weakly Enriched Higher Categories (30 Apr 2013)
- Warning: This contains a number of non-trivial errors. In any case, essentially everything in here can now be found in a much nicer and (as far as I know) correct form among the papers above.