Elia Portnoy

I am a postdoc at the University of Toronto. 

Previously, I was a graduate student at MIT, advised by Larry Guth.

I'm interested in quantitative embeddings, metric geometry, and high dimensional expanders.

My CV can be found here and an annotated bibliography can be found here. 

My email is elia dot portnoy at utoronto dot ca.

Research

• Sparse maps

     (Submitted for publication. arXiv)

• On Freedman’s link packings 

with Fedor Manin (Journal of Topology and Analysis, 2025. arXiv, slides)

• A note on Kalai’s  3^d conjecture

with Gregory R. Chambers (Submitted for publication. arXiv)

• Local quantum codes from subdivided manifolds 

(Submitted for publication. arXiv, video, slides)

• Extending volume contracting maps

(Submitted for publication. A previous version can be found here arXiv)

Teaching

• In Fall 2025, I am teaching Concepts in abstract mathematics (MAT246)