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Tevian Dray

Tevian Dray (born March 17, 1956) is an American mathematician who has worked in general relativity, mathematical physics, geometry, and both science and mathematics education. He was elected a Fellow of the American Physical Society in 2010.

Tevian Dray
Born (1956-03-17) March 17, 1956 (age 68)
Washington, DC, United States
Nationality United States
Alma materMassachusetts Institute of Technology BS 1976; University of California, Berkeley Ph.D 1981
SpouseCorinne A. Manogue
AwardsHaimo Distinguished Teaching Award, Mathematical Association of America, 2017
Scientific career
InstitutionsOregon State University
Doctoral advisorRainer K. Sachs

He has primarily worked in the area of classical general relativity. His research results include confirmation of the existence of solutions of Einstein's equation containing gravitational radiation, the use of computer algebra to classify exact solutions of Einstein's equation, an analysis of a class of gravitational shock waves (including one of the few known exact 2-body solutions in general relativity), and the study of signature change, a possible model for the Big Bang. More recently, his work has focused on applications of the octonions to the theory of fundamental particles.

He was a graduate student under Rainer K. Sachs at Berkeley, where he received his Ph.D. in 1981, although much of his dissertation research was done in collaboration with Abhay Ashtekar. The context of his dissertation, titled The Asymptotic Structure of a Family of Einstein-Maxwell Solutions focused on families of spacetimes which describe accelerating black holes, and which contain gravitational radiation. This demonstrated the existence of exact radiating solutions to the Einstein field equations.[1]
He is currently a professor of mathematics at Oregon State University. In addition to his ongoing work in mathematical physics, he has made significant contributions in science education, where he directs the Vector Calculus Bridge Project, [2] an attempt to teach vector calculus the way it is used by scientists and engineers, and is part of the development team of the Paradigms Project, [3] a complete restructuring of the undergraduate physics major around several core "paradigms". He has written a book [4] on special relativity and a sequel on general relativity using differential forms. ,[5] and is coauthor of The Geometry of the Octonions released in 2015.[6]

Bibliography edit

  • Abhay Ashtekar & Tevian Dray (1981). "On the Existence of Solutions to Einstein's Equation with Non-Zero Bondi News". Commun. Math. Phys. 79 (4): 581–589. Bibcode:1981CMaPh..79..581A. doi:10.1007/BF01209313. S2CID 121427482.
  • Tevian Dray & Gerard 't Hooft (1985). "The Effect of Spherical Shells of Matter on the Schwarzschild Black Hole". Commun. Math. Phys. 99 (4): 613–625. Bibcode:1985CMaPh..99..613D. doi:10.1007/BF01215912. hdl:1874/4753. S2CID 122717417.
  • Paul C. W. Davies; Tevian Dray & Corinne A. Manogue (1996). "Detecting the Rotating Quantum Vacuum". Phys. Rev. D. 53 (8): 4382–4387. arXiv:gr-qc/9601034. Bibcode:1996PhRvD..53.4382D. doi:10.1103/PhysRevD.53.4382. PMID 10020436. S2CID 2114187.
  • Tevian Dray; George Ellis; Charles Hellaby & Corinne A. Manogue (1997). "Gravity and Signature Change". Gen. Rel. Grav. 29 (5): 591–597. arXiv:gr-qc/9610063. Bibcode:1997GReGr..29..591D. doi:10.1023/A:1018895302693. S2CID 7617543.
  • (2012) Tevian Dray, The Geometry of Special Relativity (A K Peters/CRC Press) ISBN 978-1466510470[7]
  • (2014) Tevian Dray, Differential Forms and The Geometry of General Relativity (A K Peters/CRC Press) ISBN 978-1466510005[8]
  • (2015) Tevian Dray and Corinne A. Manogue, The Geometry of the Octonions (World Scientific) ISBN 978-9814401814[6]

References edit

  1. ^ "Tevian Dray's Dissertation".
  2. ^ "Bridging the Vector Calculus Gap".
  3. ^ "Start - Portfolios Wiki".
  4. ^ "Bookinfo - Geometry of Special Relativity".
  5. ^ "Differential Forms and the Geometry of General Relativity".
  6. ^ a b Reviews of The Geometry of the Octonions:
    • Elduque, Alberto (2015), Mathematical Reviews, doi:10.1142/8456, ISBN 978-981-4401-81-4, MR 3361898{{citation}}: CS1 maint: untitled periodical (link)
    • Brezov, Danail (2015), "Review" (PDF), J. Geom. Symmetry Phys., 39: 99–101
    • Hunacek, Mark (June 2015), "Review", MAA Reviews
  7. ^ "The Geometry of Special Relativity". A K Peters/CRC Press. Retrieved 17 April 2014.
  8. ^ "Differential Forms and The Geometry of General Relativity". A K Peters/CRC Press. Retrieved 4 January 2015.

External links edit

  • Tevian Dray's home page
  • Vector Calculus Bridge Project
  • Paradigms Project

tevian, dray, born, march, 1956, american, mathematician, worked, general, relativity, mathematical, physics, geometry, both, science, mathematics, education, elected, fellow, american, physical, society, 2010, born, 1956, march, 1956, washington, united, stat. Tevian Dray born March 17 1956 is an American mathematician who has worked in general relativity mathematical physics geometry and both science and mathematics education He was elected a Fellow of the American Physical Society in 2010 Tevian DrayBorn 1956 03 17 March 17 1956 age 68 Washington DC United StatesNationality United StatesAlma materMassachusetts Institute of Technology BS 1976 University of California Berkeley Ph D 1981SpouseCorinne A ManogueAwardsHaimo Distinguished Teaching Award Mathematical Association of America 2017Scientific careerInstitutionsOregon State UniversityDoctoral advisorRainer K SachsHe has primarily worked in the area of classical general relativity His research results include confirmation of the existence of solutions of Einstein s equation containing gravitational radiation the use of computer algebra to classify exact solutions of Einstein s equation an analysis of a class of gravitational shock waves including one of the few known exact 2 body solutions in general relativity and the study of signature change a possible model for the Big Bang More recently his work has focused on applications of the octonions to the theory of fundamental particles He was a graduate student under Rainer K Sachs at Berkeley where he received his Ph D in 1981 although much of his dissertation research was done in collaboration with Abhay Ashtekar The context of his dissertation titled The Asymptotic Structure of a Family of Einstein Maxwell Solutions focused on families of spacetimes which describe accelerating black holes and which contain gravitational radiation This demonstrated the existence of exact radiating solutions to the Einstein field equations 1 He is currently a professor of mathematics at Oregon State University In addition to his ongoing work in mathematical physics he has made significant contributions in science education where he directs the Vector Calculus Bridge Project 2 an attempt to teach vector calculus the way it is used by scientists and engineers and is part of the development team of the Paradigms Project 3 a complete restructuring of the undergraduate physics major around several core paradigms He has written a book 4 on special relativity and a sequel on general relativity using differential forms 5 and is coauthor of The Geometry of the Octonions released in 2015 6 Bibliography editAbhay Ashtekar amp Tevian Dray 1981 On the Existence of Solutions to Einstein s Equation with Non Zero Bondi News Commun Math Phys 79 4 581 589 Bibcode 1981CMaPh 79 581A doi 10 1007 BF01209313 S2CID 121427482 Tevian Dray amp Gerard t Hooft 1985 The Effect of Spherical Shells of Matter on the Schwarzschild Black Hole Commun Math Phys 99 4 613 625 Bibcode 1985CMaPh 99 613D doi 10 1007 BF01215912 hdl 1874 4753 S2CID 122717417 Paul C W Davies Tevian Dray amp Corinne A Manogue 1996 Detecting the Rotating Quantum Vacuum Phys Rev D 53 8 4382 4387 arXiv gr qc 9601034 Bibcode 1996PhRvD 53 4382D doi 10 1103 PhysRevD 53 4382 PMID 10020436 S2CID 2114187 Tevian Dray George Ellis Charles Hellaby amp Corinne A Manogue 1997 Gravity and Signature Change Gen Rel Grav 29 5 591 597 arXiv gr qc 9610063 Bibcode 1997GReGr 29 591D doi 10 1023 A 1018895302693 S2CID 7617543 2012 Tevian Dray The Geometry of Special Relativity A K Peters CRC Press ISBN 978 1466510470 7 2014 Tevian Dray Differential Forms and The Geometry of General Relativity A K Peters CRC Press ISBN 978 1466510005 8 2015 Tevian Dray and Corinne A Manogue The Geometry of the Octonions World Scientific ISBN 978 9814401814 6 References edit Tevian Dray s Dissertation Bridging the Vector Calculus Gap Start Portfolios Wiki Bookinfo Geometry of Special Relativity Differential Forms and the Geometry of General Relativity a b Reviews of The Geometry of the Octonions Elduque Alberto 2015 Mathematical Reviews doi 10 1142 8456 ISBN 978 981 4401 81 4 MR 3361898 a href Template Citation html title Template Citation citation a CS1 maint untitled periodical link Brezov Danail 2015 Review PDF J Geom Symmetry Phys 39 99 101 Hunacek Mark June 2015 Review MAA Reviews The Geometry of Special Relativity A K Peters CRC Press Retrieved 17 April 2014 Differential Forms and The Geometry of General Relativity A K Peters CRC Press Retrieved 4 January 2015 External links editTevian Dray s home page Vector Calculus Bridge Project Paradigms Project Retrieved from https en wikipedia org w index php title Tevian Dray amp oldid 1179856826, wikipedia, wiki, book, books, library,

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