Research
Research
My research lies at the intersection of algebra and topology. I am interested in various aspects of operads and their modules (such as Swiss-Cheese type operads), configuration spaces, low-dimensional topology, formality problems, (rational) homotopy theory, Grothendieck–Teichmüller theory, associators, finite-type invariants, and the Kashiwara–Vergne problem.
In particular, my current research focuses on
Variants of the Grothendieck–Teichmüller group and their actions on knotted objects in 3D and 4D topology.
The Kashiwara–Vergne problem in Lie theory from a topological perspective.
Formality problems in operads.
Operadic models for knotted objects via homotopy-theoretic methods
Grothendieck-Teichmüller Symmetries of Cyclic Operads and Tangles (with Marcy Robertson). Preprint available at arXiv.
Genus zero Kashiwara-Vergne solutions from braids (with Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi and Marcy Robertson). Preprint available at arXiv.
Sheaves and its Cohomology (supervised by Thomas Andrew Ducat), masters thesis, Imperial College London.
Spectral Sequences in Algebraic Topology (supervised by Vigleik Angeltveit), Australian National University.
Stockholm University, hosted by Dan Petersen, Aug 2025.
Queen's University Belfast, hosted by David Barnes, Feb 2025.
Centre of Quantum Mathematics, University of Southern Denmark, hosted by Guillaume Laplante-Anfossi, Feb 2025.
Indian Institute of Science- IISc, hosted by Phaneendra Yalavarthy, Aug 2021 to Aug 2022.
Australian National University, hosted by Vigleik Angeltveit, May 2019-Aug 2019.