Postdoctoral Fellow, Mathematical Sciences, COS - JOBS.ac.kr(잡스) - 대한민국 최대 석박사 채용정보, 잡스!

{"job":{"jobId":1019,"fk_accountId":null,"fk_organizationId":797,"fk_adminAccountId":null,"title":"Postdoctoral Fellow, Mathematical Sciences, COS","description":"\nJob Description\nOne position is available for full-time Post-Doctoral Researcher at the Department of Mathematical Sciences/ College of Science, UAE University. The focus of the research is in area of Operator algebras, C*-algebras and von Neumann algebras. For more details, please contact Dr. Ahmed Al-Rawashdeh (<a data-mz=\"\" href=\"mailto:aalrawashdeh@uaeu.ac.ae\" rel=\"no-follow\">aalrawashdeh@uaeu.ac.ae</a>). The position is funded by the grant: “On the Unitary Groups of C*-Algebras” UAEU Program for Advanced Research Post-Doc Grant 2019, Fund No. 31S404 for two years.\nQualifications: \nThe candidate is expected to have a solid background in functional analysis, and precisely has interest in the subject of operator algebras, von Neumann algebras and C*-algebras.\nDuties of the Post-Do will be: \n<ul>\n<li>To Investigate and to extend Al-Rawashdeh-Booth-Giordano’s results for a larger class of simple, unital C*-algebras, i.e. to discuss their unitary groups as complete invariant. Then. Indeed, to show that an isomorphism φ between the unitary groups of a larger class of simple unital C*-algebras, will establish an isomorphism on the K-Theory (K_0 and K_1) levels.</li>\n<li>To have a complete understanding of the K-Theory of a large class of simple unital C*-algebras, with sufficient conditions. Then to apply the well-known results of classifications using the K-Theory.</li>\n<li>To study again Extension Problem for some types of simple, unital C*-algebras. Precisely, to extend the results of a continuous unitary group iautomorphiosms on the UHF-algebra case. By assuming the continuity, we aim to obtain the validity of the extension on simple, unital AF-algebras, or even on other types of simple C*-algebras.</li>\n<li>To study deeply the special projections P_{I,j}(a) in the matrix algebra M_n(A) introduced by Dye and which were essentially used in the extension problem. We will deduce some properties of these special projections in certain C*-algebras.</li>\n<li>To construct unitary group isomorphisms which are NOT Fully *-Extendable.</li>\n<li>To investigate the IUG-P for many properties of C*-algebras.</li>\n<li>To study more properties of the projections (p^2=p*=p) in graph C*-algebras. There is a one-to-one correspondence between projections and self-adjoint uniutaries (also called *-symmetries, or involutions) in unital C*-algebras (by sitting p=1-2u). As an isomorphism between the unitary groups sends self-adjoint unitaries to self-adjoint unitaries, hence we establish a bijection between the sets of projections.</li>\n<li>To extend the known results and deduce that the induced mapping θ_φ between the sets of projections is an orthoisomorphism, for as larger class of C*-algebras.</li>\n<li>To discuss more properties of idempotent, symmetries and invertible elements.</li>\n</ul>\nMinimum Qualification PhD in Mathematics, Functional Analysis\nPreferred Qualification PhD in Functional analysis, C*-algebras\nExpected Skills/Rank/Experience  \nSpecial Instructions to Applicant  \nDivision College of Science - (COS)\nDepartment Mathematical Sciences - (COS)\nJob Close Date 31-03-2020\nJob Category Academic - Post-Doctoral\n","pdfUrl1":null,"location":"Abu Dhabi, United Arab Emirates","location1":"아시아","location2":null,"location3":null,"type":"2","applyUrl":"https://jobs.uaeu.ac.ae/search.jsp?pager.offset=150&sortBy=postingPostingNo&sortOrder=asc","fileUrl1":"","fileUrl2":"","fileUrl3":"","fileUrl4":"","fileUrl5":null,"fileUrl6":null,"fileUrl7":null,"workingHour":"Full Time","contractType":"Permanent","salary":"","original_id":"UNI|193856","original_domain":"https://www.timeshighereducation.com/unijobs","original_url":"https://www.timeshighereducation.com/unijobs/listing/193856/postdoctoral-fellow-mathematical-sciences-cos/?LinkSource=PremiumListing","original_isPremium":"true","closeType":2,"closedAt":null,"requireEducation":0,"managerTel":"","managerFax":"","managerEmail":"aalrawashdeh@uaeu.ac.ae","managerName":"UNITED ARAB EMIRATES UNIVERSITY","managerPhone":"","managerAddress":null,"log_hit":3,"log_like":0,"publishState":1,"organizationName":null,"organizationName_en":null,"organizationName_alt":null,"createdAt":"2020-01-23T09:00:00.000Z","updatedAt":null},"organization":{"organizationId":797,"lv1Id":null,"lv2Id":null,"name":"United Arab Emirates University","name_en":"United Arab Emirates University","name_alt":",","introduction":"The United Arab Emirates University (UAEU) is the first and the largest academic institution in the United Arab Emirates. UAEU was founded by the late Sheikh Zayed bin Sultan Al Nahyan in 1976. Today, the university continues to fulfill his progressive vision, contributing to the development of the United Arab Emirates as a model for the Arab world and a successful example of a peaceful, safe, and a fast growing cosmopolitan society.Culturally diverse and politically stable, the UAE provides a safe, attractive, culturally vibrant environment and advantageous conditions to live, work and do business in. The metropolis of Dubai and Abu Dhabi are both renowned for their iconic touristic attractions, immersive cultural districts, and world-class shopping malls and are approximately a one-hour drive away from UAEU campus. &nbsp;UAEU is located in Al Ain also known as the city of the Oasis which features their iconic green hilly-park and their highest mountain, Green Mubazzara and Jebel Hafeet. Here you can enjoy a light hike, a picnic and go for a dip in the parks natural hot springs.&nbsp;UAEU is also known as a comprehensive, research-intensive university committed to innovation and excellence in teaching and research. The university currently enrolls approximately 14,000 students from 64 countries. As the UAE’s flagship university, UAEU offers a full range of internationally accredited, high-quality graduate and undergraduate programs through nine Colleges: Business and Economics, Science, Education, Engineering, Food and Agriculture, Humanities and Social Science, IT, Law, Medicine and Health Sciences.&nbsp;The Colleges are hosted by ultra-modern facilities equipped with state-of-the art technology, and offer a full range of student support services and extra-curricular activities.The university has also established research centers of strategic importance for the country and the region, which are advancing knowledge in critical areas ranging from water resources to cancer treatments.&nbsp;UAEU’s Science and Innovation Park with professional qualifications and their cooperative programs works alongside business, industry, and public institutions to provide the nation with innovative research solutions while employing highly innovative graduates.&nbsp;Finally, UAEU promotes independent thinking based, first and foremost, on academic excellence. The university employs some of the world’s leading academics whose research feeds into their teaching, thus creating a dynamic, engaging, and inspiring learning environment. The success of UAEU is driven by its exceptional staff, students and alumni, underpinned by modern curricula, visionary research projects, and an outstanding network of international collaborations with companies, organizations, and other academic institutions.&nbsp;&nbsp;Key Statistics14,000+&nbsp;Students (Full &amp; Part-time) Students from&nbsp;64&nbsp;Countries 9&nbsp;Colleges 9&nbsp;Research Centers A Science &amp; Innovation Park 46&nbsp;Student Clubs &amp; Societies 160+&nbsp;Labs","logoImg":"","logoImgSquare":"https://s3.ap-northeast-2.amazonaws.com/jobs.ac.kr/dev/images/fgdlkjsfdsd_689442937141.png","homepageUrl":"https://www.uaeu.ac.ae/","infoUrl":"https://www.timeshighereducation.com/world-university-rankings/united-arab-emirates-university","country":"AE","state":"Al-Ain","location":"아시아","address":"P.O.Box 15551, Al-Ain, United Arab Emirates","phoneNumber":"+971 3 767 3333","faxNumber":"","type":1,"univType1":"대학","univType2":"대학교","univType3":"","univType4":"본교","establishedAt":"1976-01-05T00:00:00.000Z","count_majors":null,"count_students":null,"meta_competitiveness":"","publishState":1,"updatedAt":"2020-03-24T16:08:21.000Z","createdAt":"2020-03-04T20:13:07.000Z","default_1_bannerImage":null,"default_1_bannerImageMobile":null,"default_2_bannerImage":null,"default_2_bannerImageMobile":null,"default_3_bannerImage":"https://s3.ap-northeast-2.amazonaws.com/jobs.ac.kr/dev/images/UNITEDARABEMIRATES_610247055500.jpg","default_3_bannerImageMobile":"https://s3.ap-northeast-2.amazonaws.com/jobs.ac.kr/dev/images/UNITEDARABEMIRATES_1453622262265.jpg"}}