A PDF of my publication list is available here.

  1. General Methods of Elliptic Minimization, (joint with H. Pugh,) submitted to Calculus of Variations and Partial Differential Equations, March 2016, 22 pages
  2. Plateau's problem, invited chapter in Open Problems in Mathematics, Springer, New York, 2016, edited by John Nash, pp. 273-303
  3. Solutions to the Reifenberg Plateau problem with cohomological spanning conditions (joint with H. Pugh,) Calculus of Variations and Partial Differential Equations, 39 pages, to appear 2016
  4. Existence and Soap Film Regularity of Solutions to Plateau's Problem, (joint with H. Pugh,) Advances in Calculus of Variations (2015) 57 ISSN 1864-8258 46 pages
  5. Universal linear algebra for students of math and physics, 1-300.
  6. Operator calculus of differential chains and differential forms, Journal of Geometric Analysis (2015) 25:357– 420
  7. Soap film solutions to Plateau's Problem, Journal of Geometric Analysis (2014) 24:271–297
  8. Topological aspects of differential chains (with Harrison Pugh), Journal of Geometric Analysis, Vol. 22, (2012), No. 3, 685-690.
  9. Geometric Hodge * operator with applications to theorems of Gauss and Green, Proceedings of the Cambridge Philosophical Society, Volume 140 (2006) No. 1, 135-155.
  10. On Plateau's problem for soap films with bounded energy, Journal of Geometric Analysis. Vol. 14, (2004), No. 2, 319-329.
  11. Cartan's magic formula and soap film structure, Journal of Geometric Analysis. Vol. 14, (2004), No. 1, 47-61.
  12. Geometric realizations of currents and distributions, Proceedings of Fractal Geometry and Stochastics III, Birkauser, July 2004 "stochastics III, 193-204, Progr. Probab. 57, Birkhäuser Basel."
  13. Isomorphisms of differential forms and cochains, Journal of Geometric Analysis, 8 (1998), no. 5, 797--807.
  14. Continuity of the integral as a function of the domain, Journal of Geometric Analysis, special edition dedicated to Fred Almgren, 8 (1998), no. 5, 769--795.
  15. Flux across nonsmooth boundaries and fractal Gauss/Green/Stokes theorems, J. Phys. A 32 (1999), no. 28, 5317--5327.
  16. \( r\sup{\textrm{th}} \) order conditionally convergent serie of fractal domains, Contemporary Mathematics, AMS, 203, (1997) 257--267.
  17. Numerical integration of vector fields over curves with zero area. Proceedings of the American Math Society. Vol 121, No. 3, July, 1994.
  18. Stokes' theorem for nonsmooth chains. Bulletin of the American Math Society, (N.S.) 29, Oct 1993, No. 2, 235-242.
  19. The Gauss-Green theorem for fractal boundaries, (with Alec Norton.) Duke Journal of Mathematics, Vol. 67, No. 3, pp. 575-588, 1992.
  20. A remark on the loxodromic mapping conjecture (with Charles Pugh.) Bulletin of the Australian Math Society, Vol. 45, No. 3, pp. 521-524, 1992.
  21. Geometric integration on fractal curves in the plane (with Alec Norton.) Indiana Journal, Vol. 40, pp. 567-594, 1991.
  22. The Loxodromic Mapping Problem. Journal of Differential Equations, Vol. 90, No. 1, pp. 136-142, 1991.
  23. Geometry of algebraic continued fractals. London Math Society, Lecture Notes Series 134, Number Theory and Dynamical Systems, pp. 117-136, 1989.
  24. Embedded continued fractals and their Hausdorff dimension. Constructive Approximation, Springer Verlag, vol. 5, pp 99-115, 1989.
  25. An introduction to fractals. American Math Society, Proceedings of Symposia in Applied Mathematics vol. 39, pp. 107-126, 1989.
  26. A fixed point free ergodic flow on the 3-sphere (with Charles Pugh.) Michigan Journal of Math, vol. 36, no. 2, pp. 261-266, 1989.
  27. Dynamics on Ahlfors quasi-circles. Proceedings of the Indian Academy of Sciences. (Math.Sci.) vol. 99, no. 2, pp. 113-122, 1989.
  28. Denjoy fractals. Topology, vol. 28, no. 1, pp. 59-80, 1989.
  29. \( C^2 \text{ Counterexamples to the Seifert Conjecture} \). Topology, vol. 27, no. 3, pp. 249-278, 1988.
  30. Continued fractals and the Seifert Conjecture. Bulletin of the American Math Society, vol. 13, no. 2, pp. 147-153, 1985.
  31. Flows on \( S^3 \) and \( \mathbb{R}^3 \) without periodic orbits (With James A. Yorke.) Lecture Notes in Mathematics 1007, (refereed) pp. 401-407, 1983.
  32. Opening closed leaves of foliations. Bulletin of the London Math Society, vol. 15, pp. 218-220, 1983.
  33. Wandering intervals. Lecture Notes in Mathematics 898, (refereed) Springer Verlag, pp.154-163, 1981.
  34. Unsmoothable diffeomorphisms on higher dimensional manifolds. Proceedings of the American Math Society, vol. 73, pp.249-255, 1979.
  35. Structure of a foliated neighborhood. Proceedings of the Cambridge Philosophical Society (Cambridge, England), vol. 79, pp.101-110, 1976.
  36. Unsmoothable diffeomorphisms. Annals of Mathematics, vol. 102, pp. 85-94, 1975. This paper was the main result of my thesis and solved a problem of Denjoy.
  37. On unsmoothable diffeomorphisms. Bulletin of the American Math Society, vol. 81, p. 746, 1975.