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 will be Research Associate in Stony Brook next year.  Summer calendar:

• 1-10 June: Pisa - Combinatorial and Gauge theoretical methods in low dimensional topology and geometry a conference in honour of Paolo Lisca

• 10-30 July: Budapest - Visiting scholar at the Alfréd Rényi institute of Mathematics for the event New structures in low-dimensional topology 

• 1 September on: New York - Research Associate at Stony Brook University

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 contact topology

• foliations and  (pseudo) Anosov flows

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. Submitted.

• 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.