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. 

On February 24th 2026 I was harassed by a homophobic group at my work place. I would like to thank the many colleugues that showed their support both privately, and publicly. In the hours after the incident occurred my phone number and personal information were disclosed online, and I received numerous threatening messages. My special gratitude goes to the professors in my department, and the many friends that helped me get back home safely.

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!