Yu-Ru Liu, University of Waterloo

Research

number theory in function fields Vinogradov's mean value theorem Weyl's equidistribution theorem analytic number theory additive combinatorics diophantine geometry discrete harmonic analysis waring's problem

Latest funding

Number Theory in Function Fields
NSERC · 2024 · Principal investigator
$34,000
Number Theory in Function Fields
NSERC · 2016 · Principal investigator
$198,000
Number theory in function fields
NSERC · 2011 · Principal investigator
$130,000

All 5 grants and awards

Number Theory in Function Fields

Principal investigatorNSERC2024Discovery Grants Program - Individual

Principal investigators: Liu, Yu-Ru

Keywords: number theory in function fields; analytic number theory; additive combinatorics; diophantine geometry; discrete harmonic analysis; waring's problem; vinogradov's mean value theorem; weyl's equidistribution theorem; hasse's local-global principle; bourgain's discrete restriction conjecture

$34,000

Number Theory in Function Fields

Principal investigatorNSERC2016Discovery Grants Program - Individual

Principal investigators: Liu, Yu-Ru

Keywords: multidimensional Vinogradov's mean value theorem; number theory in function fields; the Erdos-Pomerance conjecture; Vinogradov's mean value theorem; Weyl's equidistribution theorem

$198,000

Number theory in function fields

Principal investigatorNSERC2011Discovery Grants Program - Individual

Principal investigators: Liu, YuRu

$130,000

Additive and probabilistic number theory in function fields

Principal investigatorNSERC2006Discovery Grants Program - Individual

Principal investigators: Liu, YuRu

$65,000

Generalizations of the Turan and Erdös-Kac theorems

Principal investigatorNSERC2003Discovery Grants Program - Individual

Principal investigators: Liu, YuRu

$33,345

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 2024

Subject: Prospective PhD student: number theory in function fields Dear Professor Liu, 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 number theory in function fields 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 "Number Theory in Function Fields" (2024), 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]