Ken Monks's Publications

Here are links to most of my publications. For further information you can also read my one page vita (pdf format).

Research Publications

The following is a list of my research publications. In most cases both the paper itself (in dvi format and/or pdf format) and a brief abstract (in text format) are available.

• A Category of Topological Spaces Classifying Acyclic Set Theoretic Dynamics - submitted
          Get: [the paper in pdf format] 
• The Autoconjugacy of the 3x+1 Function - (with J. Yazinski) - Discrete Mathematics, 275, (2004) pp 219-236
          Get: [the abstract], [the paper in dvi format], [the paper in pdf format] 
• 3x+1 minus the +, Discrete Mathematics and Theoretical Computer Science, 5, no. 1, (2002), 47-54
          Get: [the abstract], [a draft in dvi format with figure zipped], [a draft with nicer figure in pdf format], [the official paper at the DMTCS site]
• Groebner Bases and the Cohomology of Grassmann Manifolds with Application to Immersion, Bol. Soc. Mat. Mexicana (3) 7 (2001) no. 1, 123-136
          Get: [the abstract] , [the paper in dvi format] , [the paper in pdf format]
• Change of basis, monomial relations, and bases for the Steenrod algebra, Journal of Pure and Applied Algebra, 125 (1998) 235-260
          Get: [the abstract] , [the paper in dvi format] , [the paper in pdf format]
• The Nilpotence Height of P_t^s, Proc. Amer. Math. Soc., 124 (4), April (1996) 1297-1303
          Get: [the abstract] , [the paper in dvi format] , [the paper in pdf format]
• Polynomial Modules Over the Steenrod Algebra and Conjugation in the Milnor Basis, Proc. Amer. Math. Soc., 122 (2), October (1994) 625-634
          Get: [the abstract] , [the paper in dvi format] , [the paper in pdf format]
• Nilpotence in the Steenrod Algebra, Boletin de la Sociedad Matematica Mexicana (special edition in honor of Jose Adem), 37 (1992) 401-416
          Get: [the abstract] , [the paper in dvi format] , [the paper in pdf format]
• Nilpotence and Torsion in the Cohomology of the Steenrod Algebra, Trans. Amer. Math. Soc. 333 (2), October (1992) 903-912 
• h₀-torsion bounds in the cohomology of the Steenrod algebra, Proc. Amer. Math. Soc. 114 (1992) 5-9 

Other Publications

• Integral-Free Antiderivatives - preprint
          Get: [the abstract] , [the paper in dvi format] , [the paper in pdf format]
• Fractal Themes at Every Level - in Fractals, Graphics, and Mathematics Education, edited by M. Frame and B. Mandelbrot, MAA Press, (2002), ISBN: 0-88385-1695
         

Slides from Selected Professional Talks

• Talk slides and supporting materials - are available for some professional talks I have given. 

Mathematical Images in Print

• The Pharaoh's Breastplate - an image I produced for the cover of  Multifractals and 1/f Noise by Benoit Mandelbrot.

• Mandelbrot Zooms - images of the Mandlebrot set that appear on the cover of and inside The Nature and Power of Mathematics by Don Davis.

Conferences Organized

• Special Session on Homotopy Theory (in Honor of Donald M. Davis's and Martin Bendersky's 60th Birthdays)
  2005 Spring AMS Eastern Sectional Meeting
  Newark, DE, April 2-3, 2005
  

You can also obtain papers written by my undergraduate students. 

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This page was last  updated on Thursday, August 18, 2005 11:47:11 AM. © Ken Monks