Ha Tran, University of Alberta

Research

Read how they describe their research on their University of Alberta profile.

ideal lattice reduced ideal reduction algorithm lll-algorithm the size function well-rounded lattice shortest vector problem closest vector problem

Latest papers

Gross lattices of supersingular elliptic curves
arXiv (Cornell University) · 2025
Principal well-rounded ideals of real quadratic fields
Journal of Algebra and Its Applications · 2025 · senior author
Orientations and Cycles in Supersingular Isogeny Graphs
Association for Women in Mathematics series · 2024 · senior author

All 29 publications

Latest funding

Efficient algorithms for ideal lattices, with applications
NSERC · 2019 · Principal investigator
$12,500
Efficient algorithms for ideal lattices, with applications
NSERC · 2019 · Principal investigator
$112,000

All 2 grants and awards

29 publications.

01

Gross lattices of supersingular elliptic curves

Chenfeng He, Gaurish Korpal, Ha Thanh Nguyen Tran, Christelle Vincent

arXiv (Cornell University)2025Open Access

DOI: 10.48550/arxiv.2503.03478

02

Principal well-rounded ideals of real quadratic fields

Morgan Smith, Ha Thanh Nguyen Tran

Journal of Algebra and Its Applications2025Senior author

DOI: 10.1142/s0219498827500162

03

Orientations and Cycles in Supersingular Isogeny Graphs

Sarah Noel Arpin, Mingjie Chen, Kristin Lauter, Renate Scheidler, Katherine E. Stange, Ha Thanh Nguyen Tran

Association for Women in Mathematics series20249 citationsSenior author

DOI: 10.1007/978-3-031-51677-1_2

04

Reduced Ideals from the Reduction Algorithm

Peng Tian, Ha Thanh Nguyen Tran

Results in Mathematics2024Senior authorOpen Access

DOI: 10.1007/s00025-023-02076-1

05

The size function for imaginary cyclic sextic fields

Ha Thanh Nguyen Tran, Peng Tian, Amy Feaver

Journal de Théorie des Nombres de Bordeaux2024First authorOpen Access

DOI: 10.5802/jtnb.1266

06

Orienteering with One Endomorphism.

Arpin S, Chen M, Lauter KE, Scheidler R, Stange KE, Tran HTN

La matematica202311 citationsSenior authorOpen Access

DOI: 10.1007/s44007-023-00053-2 PMID: 37780079

07

Well-Rounded ideal lattices of cyclic cubic and quartic fields

Dat T. Tran, Nam H. Le, Ha Thanh Nguyen Tran

Communications in Mathematics20234 citationsSenior authorOpen Access

DOI: 10.46298/cm.11138

08

Well-Rounded ideal lattices of cyclic cubic and quartic fields

Dat T. Tran, Nam H. Le, Ha Thanh Nguyen Tran

arXiv (Cornell University)2023Senior authorOpen Access

DOI: 10.48550/arxiv.2303.16968

09

The size function for imaginary cyclic sextic fields

Ha Thanh Nguyen Tran, Peng Tian, Amy Feaver

arXiv (Cornell University)2023First authorOpen Access

DOI: 10.48550/arxiv.2302.05987

10

Computing mod $ \ell $ Galois representations associated to modular forms for small primes

Peng Tian, Ha Thanh Nguyen Tran, Dung Hoang Duong

AIMS Mathematics2023Open Access

DOI: 10.3934/math.20231473

Efficient algorithms for ideal lattices, with applications

Principal investigatorNSERC2019Discovery Launch Supplement

Principal investigators: Tran, Ha

$12,500

Efficient algorithms for ideal lattices, with applications

Principal investigatorNSERC2019Discovery Grants Program - Individual

Principal investigators: Tran, Ha

Keywords: ideal lattice; reduced ideal; reduction algorithm; lll-algorithm; the size function; well-rounded lattice; shortest vector problem; closest vector problem; lattice-based cryptography; physical layer security

$112,000

From public funding decisions: CIHR since 2008, NSERC since 1991 and SSHRC since 1998 with their latest competition results, the Canada Foundation for Innovation, Genome Canada, the Canadian Space Agency, Canada Research Chairs, the Fonds de recherche du Québec, Ontario research funding, Michael Smith Health Research BC, the Canadian Cancer Society, Heart & Stroke and Brain Canada.

Frequent collaborators

Renate Scheidler

Department of Mathematics & Statistics

4 shared papers, latest 2024

Write to this professor

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Applying for

Paper to mentionMention their NSERC grant from 2019

Subject: Prospective PhD student: ideal lattice Dear Professor Tran, 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]. I read your paper "Gross lattices of supersingular elliptic curves" (2025), and it 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 "Efficient algorithms for ideal lattices, with applications" (2019), 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]