I work in low-dimensional topology and its related fields, more specifically:

• 3- and 4-manifold topology, knot theory

• Heegaard Floer and Instanton Floer homology

• singularity theory, lattice cohomology

• symplectic topology and contact topology

• foliations and  (pseudo) Anosov flows

All my preprints are available  on the arXiv. 

Bio. Following my PhD graduation I moved to Canada where I pursued most of my academic career covering positions at the University of British Columbia, Université du Québec à Montréal, and McGill University. 

I also held positions in the United States at Brown University (ICERM), and Stony Brook University.

In recent years my research mentors have been  Prof. Gordana Matić and Prof. Olga Plamenevskaya. 

What's new 

• My new paper with Alberto Cavallo and Irena Matkovič is out. Preprint available at arXiv:2605.13812

• I recently posted a preprint with Connor Novak in which we explore the limits of large language models (LLMs) in tackling a problem in symplectic topology. This work is part of the First Proof initiative.

• Here are the slides of a talk I recently gave at MIT regarding my new work in collaboration with Chi Cheuk Tsang 

• My student Sarah Zampa just uploaded a paper about the unknotting number of strongly invertible knots. Go check it out!