Skip to main content
LOGO(small) - Queen's University Belfast
  • Our facebook
  • Our twitter
  • Our
  • Our
SEARCH SEARCH
LOGO(large) - Queen's University Belfast

School of

Mathematics and Physics

  • Home
  • Study
    • Undergraduate Maths
    • Undergraduate Physics
    • Postgraduate Taught
    • Postgraduate Research
    • International
    • Student Handbook
    • Visiting Students
  • Research
    • Research Centres
    • Our researchers
    • Find a PhD Supervisor
    • PhD Research Students
  • International
  • Business / Careers
  • Discover
    • About the School
    • Gender Equality
    • Outreach
    • Green Impact
    • Safe Harbour Scheme
  • Connect
    • Staff
    • Get in touch
  • News
    • News Archive
  • Events
  • Home
  • Study
    • Undergraduate Maths
    • Undergraduate Physics
    • Postgraduate Taught
    • Postgraduate Research
    • International
    • Student Handbook
    • Visiting Students
  • Research
    • Research Centres
    • Our researchers
    • Find a PhD Supervisor
    • PhD Research Students
  • International
  • Business / Careers
  • Discover
    • About the School
    • Gender Equality
    • Outreach
    • Green Impact
    • Safe Harbour Scheme
  • Connect
    • Staff
    • Get in touch
  • News
    • News Archive
  • Events
  • Our facebook
  • Our twitter
  • Our
  • Home
  • School of Mathematics and Physics
  • Research
  • PhD Research Students
  • Ethan Hawthorne - Student Profile

Ethan Hawthorne - Student Profile

Ethan HawthornePhD student

Current research project

Preservers on Operator Systems

An isometry between two Banach spaces is an operator that preserves the distance between every two elements of its domain. Through this project we seek to determine the canonical forms of all surjective linear isometries between two specified Banach spaces. Obtaining such a canonical form gives us a clearer picture of the interplay between algebraic and geometrical structures. Our aim is to establish results similar to the Banach-Stone theorem and Kadison’s theorem, but for the tensor products of two Banach spaces. That is, we wish to determine the canonical form of all surjective linear isometries whose domain and codomain are the tensor product of two operator algebras. Thus, this research aims to bridge the gap between the classical study of preservers and the more modern study of operator algebras, which will open up new avenues of research. Once we have established such results we will then look at other closely related preservers to generalise the results.

Biography

I started by PhD in Mathematics at Queen’s University Belfast in October 2019. In June 2019, I graduated from Queen’s University Belfast, obtaining an MSci Mathematics with First Class Honours, and received the A C Dixon Prize for achieving the highest results in Pure Mathematics in my year. My MSci thesis was entitled ‘Isometries’ and as part of it, I studied the Banach-Stone Theorem and Kadison’s Theorem. In October 2019, I was awarded the prestigious Dunville Scholarship from Queen’s for my PhD project based on my passion and motivation for the subject. During summer 2017, I was awarded the Hamilton Prize in Mathematics from the Royal Irish Academy, for being the best Level 2 mathematics student at Queen’s. Finally, in October 2015, I received the STEM Scholarship from Queen’s.

Research interests

Broadly speaking my research interests are in the areas of

  • Functional Analysis

  • Operator Theory

  • Operator Algebra.

    To be more specific, my research focuses on linear preservers, such as surjective linear isometries, on operator algebras.

PURE Page

 

In This Section
PhD Research Students
  • PhD Research Students
  • Pablo Galán de Anta - Student Profile
  • Kerem Osman Çubuk - Student Profile
  • Fionntán Callan - Student Profile
  • Ryan Campbell - Student Profile
  • Christopher Dillon - Student Profile
  • Caitlin Gilchrist-Millar - Student Profile
  • Dominik Kiersz - Student Profile
  • Conor MacBride - Student Profile
  • Christopher McCooey - Student Profile
  • Stephanie Merritt - Student Profile
  • Sean Quinn - Student Profile
  • James Edward Robinson - Student Profile
  • Richard Smith - Student Profile
  • Jamie Wilson - Student Profile
  • Javier Fernández Troncoso - Student Profile
  • Musharei Abdullal A Alanazi - Student Profile
  • Suhail Albakheet - Student Profile
  • Asmaa Mohammad S Ali - Student Profile
  • Matthew Charlwood - Student Profile
  • Benjamin Greenwood - Student Profile
  • Fayza Adel Hanafy Hassan - Student Profile
  • Cormac Hyland - Student Profile
  • Sinéad A. Mannion - Student Profile
  • Orla McCusker - Student Profile
  • Jyotirup Sarma - Student Profile
  • Rachel E. Smith - Student Profile
  • Andrew Conroy - Student Profile
  • Jaroslav Hofierka - Student Profile
  • Heather Leitch - Student Profile
  • Peter McConnell - Student Profile
  • Luke Roantree - Student Profile
  • Gareth Boreland - Student Profile
  • Melanie Campell - Student Profile
  • Karys Dickson - Student Profile
  • Ethan Hawthorne - Student Profile
  • Nathan Kirk - Student Profile
  • Michael Rosbotham - Student Profile
  • Niall Taggart - Student Profile
  • Tasha Montgomery - Student Profile
  • Dulan Samuditha Dias - Student Profile
  • Lauren Connell- Student Profile
  • Hristo Gergov- Student Profile
  • Hugh Littlehailes- Student Profile
  • Josua Lo- Student Profile
  • Pierre Maidment- Student Profile
  • James McCartan- Student Profile
  • Simon Munro- Student Profile
  • Anthony Murphy- Student Profile
  • Tamsin Isabel O’Reilly - Student Profile
  • Frederic Rendell-Bhatti- Student Profile
  • Sarah Ruddell- Student Profile
  • Tiernan McCaughery - Student Profile
  • Donal O’Cofaigh - Student Profile
  • Emel Yavuz - Student Profile
  • Jeremy Rigney - Student Profile
  • Carla McDonnell - Student Profile
  • Conor McCluskey - Student Profile
  • Jesi Maguire - Student Profile
  • John J. Scott - Student Profile
  • Jack Cassidy - Student Profile
  • Matthew McCollum - Student Profile
  • Lynda Hutcheson - Student Profile
  • Conor McAnespie - Student Profile
  • Shaun McLaughlin - Student Profile
  • Conor Fegan - Student Profile
  • Nicholas Stephen - Student Profile
  • Colm Fitzpatrick - Student Profile
  • Sean McCallum - Student Profile
  • Sam Shepherd - Student Profile
  • David Jackson - Student Profile
  • Sheron Blair - Student Profile
  • Peter Read - Student Profile
  • Laura Buchanan - Student Profile
  • Qiongyuan Wu - Student Profile
  • Aaron Monson - Student Profile
  • Tamsin O'Reilly - Student Profile
  • Jarod Gouldie - Student Profile
  • Jonathan Henderson - Student Profile
  • Chloe Ho - Student Profile
  • Matthew Dobson - Student Profile
  • Orla Surgeoner - Student Profile
  • Brendan Loughran - Student Profile
  • Ahmet Suna - Student Profile
  • Jonathan Kennedy - Student Profile
Queen's University Belfast - Logo (small)
Contact Us

School of Mathematics and Physics

Main Physics Building
University Road
Belfast
BT7 1NN

GET DIRECTIONS

General School Enquiries:

E-mail: mp@qub.ac.uk

Telephone: +44 (0)28 9097 1386/5293

Quick Links

  • Home
  • Study
  • Careers
  • Research

 

© Queen's University Belfast 2021
Legal
Accessibility Statement
Privacy and Cookies
Modern Slavery Statement