Research

Research interests

I’m interested in low-dimensional topology, specifically knot theory. I like to study knot invariants that are more algebraic in nature, and the relationships between them.

Publications

• ”Khovanov homology and Lagrangian cobordisms” (with G. Martin and I. Petkova, arXiv link)
  • To appear in Proceedings of the American Mathematical Society
• ”Spectral GRID invariants and Lagrangian cobordisms” (with M. Jubeir, I. Petkova, N. Schwartz, and C.-M. M. Wong, arXiv link
  • Studia Scientiarum Mathematicarum Hungarica, 61(4), 311-340. DOI: 10.1556/012.2024.04325
• ”On the invariance of the Dowlin spectral sequence” (with S. Tripp, arXiv link)
  • Algebraic & Geometric Topology 24-9 (2024), 5123-5159. DOI: 10.2140/agt.2024.24.5123
• ”Khovanov homology for links in thickened multipunctured disks” (arXiv link)
  • Michigan Math. J. 74 (4), 743-773, (September 2024). DOI: 10.1307/mmj/20216166