Pablo Shmerkin, University of British Columbia

Research

Fractal Geometry Distance set problems Dynamical Rigidity Ergodic Theory Geometric combinatorics Hausdorff dimension Multiscale projections Self-similarity

Latest funding

The Kakeya problem and Geometry of projections
NSERC · 2023 · Principal investigator
$200,000
New connections between Fractal Geometry, Harmonic Analysis and Ergodic Theory
NSERC · 2020 · Principal investigator
$222,000

All 2 grants and awards

The Kakeya problem and Geometry of projections

Principal investigatorNSERC2023Alliance Grants

Principal investigators: Shmerkin, Pablo PS

Keywords: fractal geometry; harmonic analysis; incidences; kakeya problem; projections

$200,000

New connections between Fractal Geometry, Harmonic Analysis and Ergodic Theory

Principal investigatorNSERC2020Discovery Grants Program - Individual

Principal investigators: Shmerkin, Pablo

Keywords: fractal geometry; ergodic theory; dynamical rigidity; self-similarity; geometric combinatorics; hausdorff dimension; distance set problems; multiscale projections

$222,000

From CIHR, NSERC and SSHRC funding decisions: CIHR since 2008, NSERC since 1991 and SSHRC since 1998, including their latest published competition results.

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Applying for

Mention their NSERC grant from 2023

Subject: Prospective PhD student: Fractal Geometry Dear Professor Shmerkin, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. Your research on fractal geometry connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] I also saw your NSERC-funded project "The Kakeya problem and Geometry of projections" (2023), and I would be glad to contribute to work in that direction. Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]