Hi there! My name is Antonio Alfieri.  

[English, French, Italian. He/him 🏳️‍🌈🇮🇹🇨🇦. ]

I'm  currently CRM-ISM postdoctoral fellow working in the Geometry and Topology lab CIRGET.  

I do most of my teaching at McGill University, while most of my research atctivity at UQAM. 

Here is my curriculum vitæ.  If you want to contact me, please use my gmail address: MyfamilynameMyname90(at)gmail-com.  

You can also find me on MathOverflow and MathStackexchange. 

I'm interested in low-dimensional topology and its related fields. A broad list includes: 

• 3- and 4-manifold topology, knot theory;

• Heegaard Floer and Instanton Floer homology;

• singularity theory and its  relationship with knots, and three-manifold topology. Lattice (Co)homology of normal surface singularities;

• symplectic topology and mirror symmetry

Selected publications:

• Instanton Floer homology of almost-rational plumbings, joint with John Baldwin, Irving Dai,  and  Steven Sivek, Geometry & Topology, 2021.  

• Connected Floer homology of covering involutions, joint  with Sungkyung Kang and András Stipsicz,  Mathematische Annalen, 2019

Preprints: 

• Is the geography of Heegaard Floer homology restricted or is the L-space conjecture false?, with Fraser Binns, 2024. 

• Holomorphic curves in Stein domains and the tau-invariant, with Alberto Cavallo, 2023. Submitted.

• Involutions and the Chern-Simons filtration in instanton Floer homology, with Irving Dai, Abhishek Mallick, Masaki Taniguchi, 2023. Submitted.

• Deformations of lattice cohomology and the upsilon invariant, 2020. 

Other publications: 

• Strongly invertible knots, invariant surfaces, and the Atiyah-Singer signature theorem, with Keegan Boyle, Michigan Math. Journal, 2021.

• Upsilon invariants from cyclic branched covers, joint with Daniele Celoria and  András Stipsicz, Studia Scientiarum Mathematicarum Hungarica, 2021.

• An introduction to knot Floer homology and curved bordered algebras,  with Jackson Van Dyke, Periodica Mathematica Hungarica, 2020.

• On sums of torus knots concordant to alternating knots, joint with Paolo Aceto, Bulletin of the London Mathematical Society,  2018.  

• Upsilon type concordance invariants, Algebraic & Geometric Topology, 2018.