Publications of N J Wildberger

To access most of these papers, go to Norman's Research Gate page.  For more informal views, check out these papers. Here is his blog.
  1. NJ Wildberger and A Alkhaldi. The parabola in  universal  hyperbolic  geometry  II: Canonical  points  and  the  y-conic.  Journal for Geometry and Graphics, 2016.
  2. NJ  Wildberger  and  L  Nguyen.   Incenter  circles,  chromogeometry,  and  the  Omega  triangle. KoG, 18:5–18, 2014.
  3. NJ Wildberger and A Alkhaldi. The parabola in universal hyperbolic geometry I. KoG, 17:14–42, 2013.
  4. NJ Wildberger. Universal hyperbolic geometry I: Trigonometry. Geometriae Dedicata, 163:215–274, Jan 2013.
  5. N Le and NJ Wildberger. Universal affine triangle geometry  and  four-fold  incenter symmetry. KoG, 16:63–80, 2012.
  6. NJ Wildberger and A Alkhaldi. Universal hyperbolic geometry IV: Sydpoints and twin circumcircles. KoG, 16:43–62, 2012.
  7. NJ Wildberger. Universal hyperbolic geometry iii: First  steps  in  projective  triangle geometry. KoG, 15:25–49, 2011.
  8. NJ  Wildberger.   Chromogeometry.   Mathematical  Intelligencer,  32:26–32,  2010.
  9. NJ Wildberger. Greek geometry, rational trigonometry, and  the  Snellius-Pothenot  surveying problem.  Chamchuri Journal of Mathematics, 2:1–14,  2010.
  10. NJ Wildberger.  Pell’s  equation  without  irrational  numbers.  Journal  of  Integer  Sequences, 13:Article 10.4.3, 2010.
  11. NJ Wildberger.  Chromogeometry and relativistic conics.  KoG, 13:43–50, 2009.
  12. L Alverson, R Donnelly, SJ Lewis, M McClard, R Pervine, R Proctor, and NJ Wildberger. Distributive  lattices  defined  for  representations  of  rank  two  semisimple  Lie  algebras. SIAM Journal on Discrete Mathematics, 23:527–559,  2008.
  13. NJ Wildberger. One dimensional metrical geometry. Geometriae Dedicata, 128:145–166, 2007.
  14. D Arnal, N Bel Baraka, and NJ Wildberger. Diamond representations of sl(n). Annales Mathematiques Blaise Pascal, 13:381–429, 2006.
  15. AH Dooley and NJ Wildberger. Orbital convolution theory for semi-direct products. Journal of Lie Theory, 16:743–776, 2006.
  16. NJ Wildberger. Divine Proportions:  Rational Trigonometry to Universal Geometry.  Wild Egg Pty. Ltd, Sydney, 2005.
  17. NJ Wildberger.  Weyl quantization and a symbol calculus for abelian groups.  Journal   of the Australian Mathematical Society, 78:323–338, 2005.
  18. NJ Wildberger. Foundations of finite group theory for a (future) computer. Mathe-  matical Intelligencer, 26:45–55, 2004.
  19. NJ  Wildberger.   A  combinatorial  construction  for  simply-laced  lie  algebras.   Advances in Applied Mathematics, 30:385–396, 2003.
  20. VS Sunder and NJ Wildberger. Actions of finite hypergroups.  Journal  of  Algebraic  Combinatorics, 18:135–151, 2003.
  21. NJ Wildberger. Combinatorial construction of g2. Journal of Lie Theory, 13:155–165, 2003.
  22. NJ  Wildberger.  Minuscule  posets  from  neighbourly  graph  sequences.  European  Journal of Combinatorics, 24:741–757, 2003.
  23. NJ Wildberger. A new proof of cavalieri’s quadrature formula. American Mathematical Monthly, 109:843–845, Nov 2002.
  24. R Srinivasan, VS Sunder, and NJ Wildberger. Discrete series of fusion algebras. Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, 72:419– 425, 2002.
  25. NJ Wildberger. Strong hypergroups of order three. Journal of Pure and Applied Algebra, 174:95–115, 2002.
  26. NJ  Wildberger.  Algebraic  structures  associated  to  group  actions  and  sums  of  hermi- tian matrices.  Textos de matematica Serie B, pages 1–32, 2001.
  27. AH  Dooley  and  NJ  Wildberger. Global  character  formulae  for  compact  lie  groups. Transactions of the American Mathematical Society, pages 477–495, 1999.
  28. NJ  Wildberger.  Real  fish,  real  numbers,  real  jobs.   Mathematical Intelligencer,  21:4–7, 1999.
  29. VS Sunder and NJ Wildberger. Actions of finite hypergroups and examples. In KA Ross, JM Anderson, GL Litvinov, AI Singh, VS Sunder, and NJ Wildberger, editors, Harmonic Analysis and Hypergroups, Trends in Mathematics, pages 145–163, Inst Math Sci, Madras 600113, Tamil Nadu, India, Jan 1998. Univ Delhi, Delhi, India, Birkhauser Boston.
  30. NJ Wildberger. Characters, bi-modules and  representations  in  lie  group  harmonic analysis. In KA Ross, JM Anderson, GL Litvinov, AI Singh, VS Sunder, and NJ Wildberger, editors,  Harmonic  Analysis  and  Hypergroups,  Trends  in  Mathematics,  pages  227–242, Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia, Jan 1998. Univ Delhi, Delhi, India, Birkhauser Boston.
  31. NJ Wildberger.  Duality and entropy for finite commutative hypergroups and fusion  rule algebras. Journal of the London Mathematical Society - Second Series, pages 275–291, 1997.
  32. N  Obata  and  NJ  Wildberger. Generalized  hypergroups  and  orthogonal  polynomials. Nagoya Mathematical Journal, 142:67–93, 1996.
  33. NJ Wildberger.  Lagrange‘s  theorem  and  integrality  for  finite  commutative  hyper- groups with applications to strongly regular graphs.  Journal of Algebra, 182:1–37,   1996.
  34. NJ Wildberger.  On  the  algebraic  structure  of  Gaussian  periods.  Journal  of  Number Theory, pages 278–291, 1996.
  35. NJ  Wildberger.   Finite  commutative  hypergroups  and  applications  from  group  theory to conformal field theory.  Contemporary Mathematics, 183:413–434, 1995.
  36. NJ Wildberger. Hypergroups, symmetric spaces, and wrapping maps. In Probability Measures on Groups and Related Structures. Oberwolfach Germany, 1995.
  37. NJ  Wildberger.  Row-reduction  and  invariants  of  diophantine  equations.  Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 104:549–555, Aug 1994.
  38. NJ Wildberger.  On the fourier-transform of a compact semisimple lie group.  Journal   of the Australian Math Society series A - Pure Mathematics and Statistics, 56:64–116, Feb 1994.
  39. AH Dooley, J Repka and NJ Wildberger. Sums of adjoint orbits. Linear and Multilinear Algebra, 36:79–101, Nov 1993.
  40. NJ Wildberger.  Diagonalization in compact lie-algebras and a new proof of a theorem of Kostant. Proc. Amer. Math. Soc. , 119 649–655, Oct 1993.
  41. NJ  Wildberger.   A  deformation  of  the  *-product  of  gutt  on  a  reductive  Lie algebra. Journal of Geometry and Physics, 12:217–222, Jan 1993.
  42. AH Dooley and NJ Wildberger. Harmonic analysis and the global exponential map for compact lie groups.  Functional Analysis and Its Applications, 27 21–27, Jan   1993.
  43. NJ Wildberger. The moment map  of  a  Lie  group  representation.  Transactions of the American Mathematical Society, 330:257–268, Jan 1992.
  44. NJ Wildberger. On a relationship between adjoint orbits and conjugacy classes of a lie group. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 33:297–304, Sep 1990.
  45. NJ Wildberger. Convexity and unitary representations of nilpotent lie groups. Inventiones Mathematicae, 98:281–292, Jun 1989.
  46. NJ Wildberger, A soluble Diophantine equation, Math. Magazine 49 (1979), 200-201.