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Personal profile

Personal Statement

My primary research interests are numerical linear algebra and its application to problems in scientific computing. Most of my work has focused on understanding the convergence behaviour of Krylov subspace methods for solving linear systems, and on developing preconditioners for specific applications. I have also been involved in projects that apply ideas from tropical algebra to problems in numerical linear algebra, such as pre-scaling matrices before solving linear systems. Current projects include developing fast solvers for problems from fractional diffusion, and analysing problems in broadband signal processing. 

I have been a lecturer in the Department of Mathematics and Statistics since 2015. Prior to this I held postdoctoral positions at The University of Manchester and the University of Oxford. I obtained my DPhil from the University of Oxford in 2012.

I am a member of SIAM, and am an editor of the SIAM Fundamentals of Algorithms book series. I am also a member of the Edinburgh Mathematical Society, the London Mathematical Society and am a Fellow of the Institute for Mathematics and its Applications. 

My personal webpage can be found here.

External positions

Editor of SIAM Fundamentals of Algorithms Book Series

Jan 2018Dec 2019

Secretary of SIAM Activity Group on Linear Algebra

Jan 2016Dec 2018

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Research Output

Preconditioners for Krylov subspace methods: an overview

Pearson, J. & Pestana, J., 30 Jun 2020, (Accepted/In press) In : GAMM-Mitteilungen / GAMM-Reports . 29 p.

Research output: Contribution to journalArticle

  • Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm

    Delaosa, C., Pestana, J., Weiss, S. & Proudler, I., 26 Jun 2020, (Accepted/In press). 5 p.

    Research output: Contribution to conferencePaper

  • Prizes

    Best Student Paper Award

    Connor Delaosa (Recipient), Fraser Kenneth Coutts (Recipient), Jennifer Pestana (Recipient) & Stephan Weiss (Recipient), 2018

    Prize: Prize (including medals and awards)



    EPSRC Mathematical Sciences Prioritisation Panel February 2020 (Event)

    Jennifer Pestana (Peer reviewer)
    25 Feb 202026 Feb 2020

    Activity: Publication peer-review and editorial work typesMembership of peer review panel or committee

    University of Insubria

    Jennifer Pestana (Visiting researcher)
    12 Jan 202017 Jan 2020

    Activity: Visiting an external institution typesVisiting an external academic institution