Recent Publications

Books

• The Geometry of Special Relativity,
     Tevian Dray, CRC Press (an A K Peters book), Boca Raton, FL, 2012.    (Wiki version, PDF version)
• The Geometry of Vector Calculus,
     Tevian Dray and Corinne A. Manogue, 2009–2012.    (online only)
  
  Vector Calculus
  
  
• Playing games: Expert problem solving in thermodynamics,
     Mary Bridge Kustusch, David Roundy, Tevian Dray, and Corinne A. Manogue, PRST-PER, (in preparation).
• Using differentials to determine the derivatives of trigonometric and exponential functions,
     Tevian Dray, College Math. J. 44, 17–23 (2013).
• Putting differentials back into calculus,
     Tevian Dray and Corinne A. Manogue College Math. J. 41, 90–100 (2010).
• Finding Geodesics,
     Stuart Boersma, Tevian Dray, and Stan Wagon, Math Horizons, September 2009, 2.
• Why is Ampère's Law So Hard?,    (published abstract)
     Corinne A. Manogue, Kerry Browne, Tevian Dray, and Barbara Edwards, Am. J. Phys. 74, 344-350 (2006).
• The Geometry of the Dot and Cross Products,    (MathML version; published version)
     Tevian Dray and Corinne A. Manogue, JOMA 6, June 2006.
  
  Octonions
  
  
• Discovering Real Lie Subalgebras of e6 using Cartan Decompositions,
     Aaron Wangberg and Tevian Dray, J. Math. Phys. (submitted).
• The structure of E6=SL(3,O},
     Aaron Wangberg and Tevian Dray, J. Phys. A (submitted).
• Octonionic Cayley Spinors and E6,    (published abstract)
     Tevian Dray and Corinne A. Manogue, in Proceedings of the 2nd Mile High Conference on Nonassociative Mathematics (Denver 2009), Comment. Math. Univ. Carolin. 51, 193–207 (2010).
• Octonions, E6, and Particle Physics, (published version)
     Corinne A. Manogue and Tevian Dray, in Quantum Groups, Quantum Foundations, and Quantum Information: a Festschrift for Tony Sudbery, J. Phys.: Conf. Ser. 254, 012005 (2010).
• Finding 3×3 Hermitian Matrices over the Octonions with Imaginary Eigenvalues,    (published abstract)
     Henry Gillow-Wiles and Tevian Dray, Adv. Appl. Clifford Algebras 20, 247–254 (2010).
• Visualizing Lie Subalgebras using Root and Weight Diagrams,    (published version)
     Aaron Wangberg and Tevian Dray, Loci 2, February 2009.
  
  Relativity
  
  
• Toy model studies of tuning and typicality with an eye toward cosmology,
     Aaron Hernley, Andreas Albrecht, and Tevian Dray, Phys. Rev. D, (submitted).
• Using Three-Dimensional Spacetime Diagrams in Special Relativity,
     Tevian Dray, Am. J. Phys. (submitted).    (enhanced figures)
• Covariant Derivatives on Null Submanifolds,    (published abstract)
     Don Hickethier and Tevian Dray, Gen. Rel. Grav. 44, 225–238 (2012).
• The Effect of Negative-Energy Shells on the Schwarzschild Black Hole,    (published abstract)
     Jeffrey S. Hazboun and Tevian Dray, Gen. Rel. Grav. 42, 1457–1467 (2010).
• Tensor Generalizations of Affine Symmetry Vectors,    (published abstract)
     Samuel A. Cook and Tevian Dray, J. Math. Phys. 50, 122506 (2009).
  
  Science Education
  
  
• Using Non-Euclidean Geometry to Teach Euclidean Geometry to K–12 Teachers,
     David Damcke, Tevian Dray, Maria Fung, Dianne Hart, and Lyn Riverstone, J. Math. Teacher Educ. (submitted).
• Care to Compare: Eliciting Mathematics Discourse in a Professional Development Geometry Course for K–12 Teachers,
     Maria Fung, David Damcke, Dianne Hart, Lyn Riverstone, and Tevian Dray, in The Role of Mathematics Discourse in Producing Leaders of Discourse, ed. Libby Knott, Montana Mathematics Enthusiast Monograph Series in Mathematics Education, Information Age Publishing, Charlotte, NC, 2009, pp. 199–213.
• Dare to Compare?,
     David Damcke, Tevian Dray, Maria Fung, Dianne Hart, and Lyn Riverstone, The Oregon Mathematics Teacher (TOMT), May/June 2008, 8–10.

Further information

Publications 1998–2005

Complete publication list

Ask gr-qc for list of recent preprints (hep-th, math)

Ask MathSciNet for list of reviewed publications (requires MathSciNet access)

Ask SPIRES for list of publications