P007700revisedAU-VU:EOASEncyclopedia of Australian Science and Innovation
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EnglishAACR2Anglo-American Cataloguing RulesPersoncreated2025-05-13humanHelen Cohnupdated2026-01-15humanhttps://www.eoas.info/biogs/P007700b.htmpersonBartnikRobert AndrzejFAAAACR21 February 195612 November 2022Place of DeathMelbourne, Victoria, AustraliaMathematicianRobert Bartnik was a mathematician widely recognised for his contributions to the application of geometric analysis to mathematical problems arising in Einstein's theory of general relativity. Acknowledged as an original researcher, he one of the few responsible for introducing the new techniques that reshaped the mathematical landscape. He was noted for a proof that the ADM mass is a geometric invariant; the introduction and initial analysis of the Bartnik quasi-local mass; and the discovery of static, particle-like solutions to the Einstein-Yang-Mills equations (now known as the Bartnik-McKinnon solutions). With Leon Simon he worked on solving the Dirichlet problem for prescribed mean curvature, in the setting of spacelike hypersurfaces of Minkowski space.. After doctoral and post-doctoral studies in the U.S.A., Bartnik returned to Australia in 1985. He was Research Fellow at the Australian National University until 1991 before moving to the Universities of New South Wales, New England and Canberra. In 2005 he was appointed Professor of Mathematics at Monash University. The School of Mathematical Sciences at Monash awards the Robert Bartnik Visiting Fellowship.19801980Education - Master of Science (MSc), University of Melbourne19801981Career position - Visiting scholar, Institute for Advanced Study. Australian National University19831983Education - PhD, Princeton University19851991Career position - Research Fellow, Australian National University20042022Award - Fellow, Australian Academy of Science (FAA)20052016Career position - Professor of Mathematics, Monash University20162016Life event - Retired
Simon, Leon Melvyn (1945 - )
Monash University (1958 - )
Professor of Mathematics 2005 - 2016
Australian Academy of Science (1954 - )
Fellow 2004 - 2022
'Bartnik, Robert Andrzej', in Encyclopedia of Australian Science and Innovation, Centre for Transformative Innovation, Swinburne University of TechnologyBartnik, Robert AndrzejSwinburne University of Technology, Centre for Transformative InnovationEncyclopedia of Australian Science and InnovationJournal Article: Particle like solutions of the Einstein -Yang-Mills equations .Bartnik, Robert and McKinnon, JohnParticle like solutions of the Einstein -Yang-Mills equations .1988Physical review letters612141-4Book: Selected works of Robert A. BartnikBartnik, Robert: edited by Chruściel, Piotr T., Isenberg, James A. and Yau, Shing-TungSelected works of Robert A. BartnikSomerville, MAInternational Press Service Association2021Journal Article: Existence of maximal surfaces in asymptotically flat spacetimesBartnik, RobertExistence of maximal surfaces in asymptotically flat spacetimes1984Communications in mathematical physics942155-75Journal Article: Spacelike hypersurfaces with prescribed boundary values and mean curvatureBartnik, Robert and Leon, SimonSpacelike hypersurfaces with prescribed boundary values and mean curvature1982Communications in mathematical physics87131-52Journal Article: Robert BartnikOliynyk, Todd, Chruściel, Piotr T., Huisken, Gerhard and Simon, LeonRobert Bartnik2025Gazette of the Australian Mathematical Society52126-30Journal Article: A short note on the Bartnik massCorvino, JustinA short note on the Bartnik mass2019Pure and applied mathematics quarterly152827-38