The Geometry of Differential Forms,
Tevian Dray,
CRC Press (an A K Peters book), Boca Raton, FL, in preparation.
Preliminary edition, 2011
(PDF version)
The Geometry of General Relativity,
Tevian Dray,
CRC Press (an A K Peters book), Boca Raton, FL, in preparation.
Preliminary edition, 2011
(PDF version)
The Geometry of the Octonions,
Tevian Dray and Corinne A. Manogue, World Scientific, in preparation.
Particle Creation with Finite Energy Density,
Tevian Dray, Jürgen Renn, and Donald C. Salisbury,
Lett. Math. Phys.7, 145–153 (1983).
The Normal-Form (In)Dependence of the
Adiabatic Particle Definitions,
Tevian Dray and Jürgen Renn,
Gen. Rel. Grav.16, 325–332 (1984).
(published abstract)
Space-Times with a Stable Adiabatic Vacuum,
(published abstract)
Tevian Dray and Jürgen Renn,
Gen. Rel. Grav.16, 453–458 (1984).
(This essay received Honorable Mention in the 1983 competition
of the Gravity Research Foundation.)
The Relationship Between Monopole Harmonics and
Spin-Weighted Spherical Harmonics,
Tevian Dray,
J. Math. Phys.26, 1030–1033 (1985).
(published abstract)
The Gravitational Shock Wave of a Massless Particle,
Tevian Dray and Gerard 't Hooft,
Nucl. Phys.B253, 173–188 (1985).
(This article was later reprinted in
Under the Spell of the Gauge Principle,
Gerard 't Hooft, World Scientific, Singapore, 1994, 629–644.)
The Effect of Spherical Shells of Matter on the
Schwarzschild Black Hole,
Tevian Dray and Gerard 't Hooft,
Commun. Math. Phys.99, 613–625 (1985).
A Unified Treatment of Wigner D Functions,
Spin-Weighted Spherical Harmonics, and Monopole Harmonics,
(published abstract)
Tevian Dray,
J. Math. Phys.27, 781–792 (1986).
Particle Production from Signature Change,
(published abstract)
Tevian Dray, Corinne A. Manogue, and Robin W. Tucker,
Gen. Rel. Grav.23, 967–971 (1991).
(This essay received Honorable Mention in the 1991 competition
of the Gravity Research Foundation.)
Finding Isometry Groups in Theory and Practice,
(published abstract)
Marcelo E. Araujo, Tevian Dray, and James E. F. Skea,
Gen. Rel. Grav.24, 477–500 (1992).
Scalar Field Quantization in Stationary, Non-Static Spacetimes,
Tevian Dray, Ravi Kulkarni, and Corinne A. Manogue,
Gen. Rel. Grav.24, 1255–1266 (1992).
Topology Change: The Regulated Trousers and Tin Woodman Models
,
Tevian Dray, C. A. Hurst, and Corinne A. Manogue,
Comm. Math. Theoret. Phys.1, 24–49, (1998).
Playing games: Expert problem solving in thermodynamics,
Mary Bridge Kustusch, David Roundy, Tevian Dray, and Corinne A. Manogue,
PRST-PER, (in preparation).
On Defining Particles in Robertson-Walker Space-Times,
Tevian Dray, in
Proceedings of the Third Marcel Grossman Meeting on General Relativity,
(Shanghai 1982),
vol. 2, ed. Hu Ning,
Science Press and North Holland, Amsterdam, 1983, pp. 1205–1208.
Semi-Classical Quantization of the Klein-Gordon Field:
ON DEFINING PARTICLES,
Tevian Dray, Jürgen Renn, and Donald C. Salisbury,
in Unified Field Theories of More Than Four Dimensions
(Including Exact Solutions),
(Erice 1982),
eds. Venzo de Sabbata and Ernst Schmutzer,
World Scientific, Singapore, 1983, pp. 414–423.
Gravitational Shock Waves,
Tevian Dray,
in
Geometric Aspects of the Einstein Equations and Integrable Systems,
(The Hague 1984),
Lecture Notes in Physics 239,
ed. R. Martini, Springer, Berlin, 1985, pp. 151–153.
Matter at the Horizon of the Schwarzschild Black Hole,
Tevian Dray,
in
Topological Properties and Global Structure of Space-Time,
(Erice 1985),
eds. Peter Bergmann and Venzo de Sabbata,
Plenum, New York, 1986, pp. 73–76.
Glueing Spacetimes Togther,
Tevian Dray,
in Proceedings of the Instructional
Workshop on Advanced Aspects of General Relativity,
(Calcutta 1987/88),
vol. I,
INA Press, Calcutta, 1989, pp. 41–44.
Scalar Field Quantization in Stationary, Non-Static Spacetimes,
Tevian Dray, Ravi Kulkarni, and Corinne A. Manogue,
in Proceedings of the Third Canadian Conference on General Relativity and
Relativistic Astrophysics,
(Victoria 1989),
eds. A. Coley, F. Cooperstock and B. Tupper,
World Scientific, Singapore, 1990, pp. 164–168.
Determing Isometries of Space-Times Using Computer Algebra,
Marcelo E. Araujo, Tevian Dray, and James E. F. Skea,
in
Relativity and Gravitation: Classical and Quantum
(Proceedings of the
7th Latin American Symposium on Relativity and Gravitation
(SILARG VII); Cocoyoc 1990),
eds. J. C. D'Olivo, E. Nahmad-Achar, M. Rosenbaum, M. P. Ryan, Jr.,
L. F. Urrutia and F. Zertuche,
World Scientific, Singapore, 1991, pp. 264–270.
When Do Rotating Detectors Respond?,
Paul C. W. Davies, Tevian Dray, and Corinne A. Manogue,
in Gravitation and Cosmology,
Proceedings of the
Third International Conference on Gravitation and Cosmology
(Pune 1995),
eds. Sanjeev Dhurandhar and Thanu Padmanabhan,
Kluwer Academic Publishers, Dordrecht, 1997, pp. 255–256.
Topology Change and the Tin Woodman Model,
Tevian Dray, C. A. Hurst, and Corinne A. Manogue,
(Proceedings of the International Conference on 70 Years of Quantum
Mechanics and Recent Trends in Theoretical Physics;
Calcutta 1996)
Comm. Math. Theoret. Phys.1, 203–218, (1998).
Quaternionic Spin,
Tevian Dray and Corinne A. Manogue,
in Clifford Algebras and their Applications in Mathematical Physics
(Zihuatenejo 1999),
eds. Rafal Ablamowicz and Bertfried Fauser,
Birkhäuser, Boston, 2000, pp. 29–46.
Octonions and Fundamental Particles,
Tevian Dray and Corinne A. Manogue,
in A Festschrift in honor of Paulo Budinich
(Losinj 2001),
eds. Franco Bradamante and Giuseppe Furlan,
Consorzio per l'Incremento degli Studi e delle Ricerche dei Dipartimenti di
Fisica dell'Università di Trieste, 2002, pp. 66–87.
Bridging the Vector (Calculus) Gap,
Tevian Dray and Corinne A. Manogue,
in Pathways to Change: An International Conference on Transforming Math
and Science Education in the K16 Continuum, Proceedings
(CD-ROM; Arlington 2002) ed. Morton M. Sternheim, 2002.
Using the Octonions to Describe Fundamental Particles,
Tevian Dray and Corinne A. Manogue,
in
CLIFFORD ALGEBRAS: Application to Mathematics, Physics, and Engineering
(Cookeville 2002),
ed. Rafal Ablamowicz,
Birkhäuser, Boston, 2003, pp. 451–466.
General Relativity and Signature Change,
Tevian Dray,
in
Advances in Differential Geometry and General Relativity
(Columbia 2003),
eds. Stamatis Dostoglou and Paul Ehrlich,
Contemp. Math. 359,
AMS, Providence, RI, 2004, pp. 103–124.
Bridging the Gap between Mathematics and the Physical Sciences,
Tevian Dray and Corinne A. Manogue,
in Proceedings of the 3rd International Conference on the Teaching of
Mathematics at the Undergraduate Level (CD-ROM),
Turkish Mathematical Society, Istanbul, 2006.
College Physics Majors' Mathematical Reasoning,
Barbara Edwards, Corinne Manogue, Gulden Karakok, and Tevian Dray,
in Proceedings of the 3rd International Conference on the Teaching of
Mathematics at the Undergraduate Level (CD-ROM),
Turkish Mathematical Society, Istanbul, 2006.
The Border between Relativity and Quantum Theory,
Tevian Dray,
in Einstein and the Changing Worldviews of Physics
(Tenerife 2005),
eds. Christoph Lehner, Jüurgen Renn, and Matthias Schemmel,
Birkhäuser, Boston, 2012, pp. 333–345.
An Expert Path through a Thermo Maze,
Mary Bridget Kustusch, Corinne Manogue, David Roundy, and Tevian Dray,
2012 Physics Education Research Conference
(Philadelphia 2012),
AIP Conference Proceedings (2012; to appear).
Connections between Representations: Ambiguity Helps!
Gulden Karakok, Tina Johnston, Corinne A. Manogue, Maggie Niess,
and Tevian Dray,
Oregon State University, 2007, 14 pages.
On Penrose's Definition of Angular Momentum,
Tevian Dray and Michael Streubel,
10th International Conference on General Relativity and
Gravitation: Contributed Papers,
eds. B. Bertotti, F. de Felice, A. Pascolini,
Consiglio Nazionale della Ricerche, Roma, 1983, pp. 47–49.
Hamiltonian Diagonalization and Adiabatic Particle Definitions,
Tevian Dray and Jürgen Renn,
10th International Conference on General Relativity and
Gravitation: Contributed Papers,
eds. B. Bertotti, F. de Felice, A. Pascolini,
Consiglio Nazionale della Ricerche, Roma, 1983, pp. 1064–1066.
Colliding Shells of Matter,
Tevian Dray,
Abstracts of Contributed Papers,
11th International Conference on General Relativity and Gravitation,
eds. B. Laurent and K. Rosquist,
Akademitryck, Stockholm, 1986, p. 167.
The Trousers Problem,
Corinne A. Manogue and Tevian Dray,
Abstracts Amer. Math. Soc.9, 388 (1988).
A New Look at Quantization on a Kerr Background,
Tevian Dray, Ravi Kulkarni, and Corinne A. Manogue,
Abstracts of Contributed Papers,
12th International Conference on General Relativity and Gravitation,
ed. N. Ashby,
University of Colorado, Boulder, 1989, p. 684.
The Wave Equation in the Presence of Signature Change,
Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 28,
ed. Robert E. Stockhouse II,
Pacific University, Forest Grove, 1992, p. 44.
Finite Octonionic Lorentz Transformations in 9+1 Dimensions,
Corinne A. Manogue and Tevian Dray,
Abstracts of Contributed Papers,
13th International Conference on General Relativity and Gravitation,
eds. Pedro W. Lamberti and Omar E. Ortiz,
Universidad Nacional de Córdoba, Córdoba, 1992, pp. 106–107.
Slicing, Threading and Parametric Manifolds,
Stuart Boersma and Tevian Dray,
Abstracts of Contributed Papers,
13th International Conference on General Relativity and Gravitation,
eds. Pedro W. Lamberti and Omar E. Ortiz,
Universidad Nacional de Córdoba, Córdoba, 1992, pp. 137–138.
Finding Isometry Groups in Theory and Practice,
Marcelo E Araujo, Tevian Dray, and James E F Skea,
Abstracts of Contributed Papers,
13th International Conference on General Relativity and Gravitation,
eds. Pedro W. Lamberti and Omar E. Ortiz,
Universidad Nacional de Córdoba, Córdoba, 1992, pp. 299–300.
The Wave Equation in the Presence of Signature Change,
Tevian Dray, Corinne A. Manogue, and Robin W. Tucker,
Abstracts of Contributed Papers,
13th International Conference on General Relativity and Gravitation,
eds. Pedro W. Lamberti and Omar E. Ortiz,
Universidad Nacional de Córdoba, Córdoba, 1992, pp. 591–592.
Spinors without Spinors,
Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 30,
ed. William Keith,
Oregon State University, Corvallis, 1994, p. 51.
Signature Change in General Relativity,
Tevian Dray,
Abstracts Amer. Math. Soc.17, 147 (1996).
Einstein's Equations in the Presence of Signature Change,
Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 32,
ed. William Keith,
Oregon State University, Corvallis, 1996, p. 37.
Taxicab Angles and Trigonometry,
Kevin Thompson and Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 33,
ed. William Keith,
Oregon State University, Corvallis, 1997, p. 46.
The Octonionic Eigenvalue Problem,
Tevian Dray and Corinne A. Manogue,
Abstracts Amer. Math. Soc.18, 349 (1997).
Octonionic Möbius Transformations,
Corinne A. Manogue and Tevian Dray,
Abstracts Amer. Math. Soc.18, 349 (1997).
Alternative Modes For Scalar Field Quantization,
Alfonso F. Agnew, Tevian Dray, and Corinne A. Manogue,
Abstracts of Plenary Lectures and Contributed Papers,
15th International Conference on General Relativity and Gravitation,
ed. Naresh Dadhich,
Inter-University Centre for Astronomy and Astrophysics, Pune, 1997, p. 275.
Octonionic Möbius Transformations,
Corinne A. Manogue and Tevian Dray,
Abstracts of Plenary Lectures and Contributed Papers,
15th International Conference on General Relativity and Gravitation,
ed. Naresh Dadhich,
Inter-University Centre for Astronomy and Astrophysics, Pune, 1997, p. 35.
A New Dimensional Reduction Scheme,
Corinne A. Manogue and Tevian Dray,
Abstracts of Plenary Lectures and Contributed Papers,
15th International Conference on General Relativity and Gravitation,
ed. Naresh Dadhich,
Inter-University Centre for Astronomy and Astrophysics, Pune, 1997, p. 290.
The Octonionic Eigenvalue Problem,
Tevian Dray and Corinne Manogue,
Proceedings of the Oregon Academy of Science,
vol. 36,
ed. David Conoy,
Oregon State University, Corvallis, 2000, p. 46.
The Vector Calculus Gap,
Tevian Dray and Corinne Manogue,
Proceedings of the Oregon Academy of Science,
vol. 36,
ed. David Conoy,
Oregon State University, Corvallis, 2000, pp. 46–47.
Bridging the Vector Calculus Gap,
Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 37,
ed. David Conoy,
Oregon State University, Corvallis, 2001, p. 58.
Using Differentials to Bridge the Vector Calculus Gap,
Tevian Dray and Corinne A. Manogue,
Abstracts Amer. Math. Soc.24, 256–257 (2003).
The Vector Calculus Bridge Project,
Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 39,
ed. Brian Gilbert,
Oregon State University, Corvallis, 2003, pp. 31–32.
The Vector Calculus Bridge Project,
Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 40,
ed. Brian Gilbert,
Oregon State University, Corvallis, 2004, p. 45.
Surviving the Bridge Project,
Tevian Dray and Corinne Manogue,
Abstracts Amer. Math. Soc.26, 205 (2005).
Visualizing Vector Derivatives: The Vector Field Analyzer,
Matthias Kawski and Tevian Dray,
Abstracts Amer. Math. Soc.26, 222–223 (2005).
The Importance of Technology-Free Visualization Activities,
Tevian Dray and Corinne Manogue
Abstracts Amer. Math. Soc.26, 262 (2005).
Octonionic Lorentz Groups,
Tevian Dray and Corinne A. Manogue,
Proceedings of the Oregon Academy of Science,
vol. 41,
ed. Brian Gilbert,
Oregon State University, Corvallis, 2005, p. 57.
Octonionic Unitary Groups,
Aaron Wangberg and Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 41,
ed. Brian Gilbert,
Oregon State University, Corvallis, 2005, p. 59.
College Physics Majors' Mathematical Reasoning,
Barbara Edwards, Corinne Manogue, Gulden Karakok, and Tevian Dray,
Abstracts Amer. Math. Soc.27, 264 (2006).
Bridging the Gap between Mathematics and the Physical Sciences,
Tevian Dray and Corinne A. Manogue,
Proceedings of the 3rd International Conference on the Teaching of
Mathematics at the Undergraduate Level (CD-ROM),
ed. Douglas Quinney,
Turkish Mathematial Society, Istanbul, 2006, pp. 104–105.
College Physics Majors' Mathematical Reasoning,
Barbara Edwards, Corinne Manogue, Gulden Karakok, and Tevian Dray,
Proceedings of the 3rd International Conference on the Teaching of
Mathematics at the Undergraduate Level (CD-ROM),
ed. Douglas Quinney,
Turkish Mathematial Society, Istanbul, 2006, pp. 107–108.
E6: The Group,
Aaron Daniel Wangberg and Tevian Dray,
Abstracts Amer. Math. Soc.28, 68–69 (2007).
Enhancing Middle School Teachers' Knowledge of Mathematics,
Gulden Karakok, Tina L. Johnston, Maggie Niess, and Tevian Dray,
Abstracts Amer. Math. Soc.28, 348–349 (2007).
Using non-Euclidean geometry to teach Euclidean geometry to K–12
teachers,
David Damcke, Tevian Dray, Maria Fung, Dianne Hart, and Lyn Riverstone,
Abstracts Amer. Math. Soc.28, 350 (2007).
Identifying Lie Subalgebras using Root Diagrams,
Aaron Wangberg and Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 43,
ed. Heide D. Island,
Western Oregon University, Monmouth, 2007, p. 40.
Exploring Concepts of Euclidean Geometry Through Comparison
with Spherical and Taxicab Geometries,
Maria G. Fung, Tevian Dray, David Damcke, Lyn Riverstone, and Dianne Hart,
Abstracts Amer. Math. Soc.29, 276–277 (2008).
Math Faculty as Partners in Team Teaching a Non-Euclidean Geometry
Course for K–12 Teachers,
Maria G. Fung, Tevian Dray, David Damcke, Dianne Hart, and Lyn Riverstone,
Abstracts Amer. Math. Soc.30, 337 (2009).
Symmetry Tensors of the Göodel Universe,
Sam Cook and Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 68,
ed. Heide D. Island,
Western Oregon University, Monmouth, 2009, p. 34.
The effect of negative-energy shells on Schwarzschild geometry and their
Penrose diagrams,
Jeffrey S. Hazboun and Tevian Dray,
Proceedings of the Oregon Academy of Science,
vol. 68,
ed. Heide D. Island,
Western Oregon University, Monmouth, 2009.
Magic Squares of Lie Groups,
Tevian Dray, John Huerta, Joshua Kinkaid, Corinne A. Manogue, Aaron Wangberg,
and Robert A. Wilson
Program of the 1090th AMS Meeting, AMS, 2013, p. 95.
8th Italian Conference on
General Relativity and Gravitational Physics,
edited by M. Cerdonio, R. Cianci, M. Francaviglia, and M. Toller,
Gen. Rel. Grav.22, 1341 (1990).
Directions in General Relativity: vol. 1
(Papers in honor of Charles Misner) edited by B. L. Hu, M. P. Ryan Jr.,
and C. V. Vishveshwara,
vol. 2
(Papers in honor of Dieter Brill) edited by B. L. Hu and T. A. Jacobson,
Gen. Rel. Grav.26, 929–931 (1994).