Douglas S. Kurtz

Science Hall Room 238

Phone: (505) 646-3901

 

 

Department of 
Mathematical Sciences 
MSC 3MB 
New Mexico State University 
Las Cruces NM 88003-8001

Department: 
(505) 646-3901 
Fax: 
(505) 646-1064

Fall 2008 classes


 

Professional Positions

Research Interests

Mathematical Publications

Education

Research Experience

Educational Publications

 

Funded Research

 

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PROFESSIONAL POSITIONS

  • Assistant Professor, Purdue University, 1978 -- 1981
  • Assistant Professor, New Mexico State University, 1981 -- 1984
  • Associate Professor, New Mexico State University, 1984 -- 1990
  • Professor, New Mexico State University, 1990 --
  • Department Head, New Mexico State University, 1993 -- 1998
  • Associate Department Head, New Mexico State University, 2002 --

 

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EDUCATION

  • A.B.., Mathematics, Rutgers University, 1973
  • M.S., Mathematics, Rutgers University, 1975
  • Ph.D., Mathematics, Rutgers University, 1978

RESEARCH INTERESTS

  • Harmonic Analysis: singular and convolution integrals, maximal functions, multiplier operators, rearrangement function inequalities, operator estimates
  • Mathematics Education: calculus curriculum development, high school teacher enhancement, middle school teacher enhancement

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RESEARCH EXPERIENCE

  • Visiting Fellow, Centre for Mathematical Analysis, Australian National Univ. (1987)
  • Member, Mathematical Sciences Research Institute, Berkeley, CA (1987)
  • Visitor, University of Adelaide and Flinders University (1995)
  • Visiting Scholar, University of Missouri, Columbia, MO (2001)

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MATHEMATICAL PUBLICATIONS

  1. Weighted norm inequalities for the Hardy-Littlewood maximal function for one parameter rectangles, Studia Math. 53 (1975), 39-54.
  2. Results on weighted norm inequalities for multipliers, Trans. Amer. Math. Soc. 255 (1979), 343-362 (with Richard L. Wheeden).
  3. Littlewood-Paley and multiplier operators on weighted Lp spaces, Trans. Amer. Math. Soc. 259 (1980), 235-254.
  4. A note on singular integrals with weights, Proc. Amer. Math. Soc. 81 (1981), 391-397 (with Richard L. Wheeden).
  5. The Hardy-Littlewood maximal function on L( p,q) spaces, Indiana Univ. Math. J. 31 (1982), 109-120 (with Huann-Ming Chung and Richard A. Hunt).
  6. A note on the equivalence of Ap and Sawyer's condition for equal weights, Proceedings of the Conference on Harmonic Analysis, University of Chicago, March, 1981; Belmont, Calif; Wadsworth International (with Richard A. Hunt and C. J. Neugebauer).
  7. The Hardy-Littlewood maximal function on L( p,1) spaces, Indiana Univ. Math. J. 32 (1983), 155-158 (with Richard A. Hunt). (Also appears in Proceedings of the Conference on Harmonic Analysis, University of Chicago, March, 1981; Belmont, Calif; Wadsworth International.)
  8. Weighted norm inequalities for oscillating kernels, Arkiv Mate. 21 (1983), 233-257 (with Sagun Chanillo and Gary Sampson).
  9. L( logL) spaces and weights for the strong maximal function, Journal D'Analyse Mathematique 44 (1984/1985), 21-31 (with Richard J. Bagby).
  10. A rearranged good l inequality, Trans. Amer. Math. Soc. 293 (1986), 71-81 (with Richard J. Bagby).
  11. Covering lemmas and the sharp function, Proc. Amer. Math. Soc. 93 No. 2 (1985), 291-296, (with Richard J. Bagby).
  12. Weighted weak ( 1,1) and weighted Lp estimates for oscillating kernels, Trans. Amer. Math. Soc. 295 (1986), 127-145 (with Sagun Chanillo and Gary Sampson).
  13. Littlewood-Paley operators on BMO, Proc. Amer. Math. Soc. 99 (1987), 657-666.
  14. Rearrangement inequalities for Littlewood-Paley operators, Nach. Math. 133 (1987), 71-90.
  15. Better good-l inequalities, Proceedings of the Centre for Mathematical Analysis, Australian National University, Vol. 15, 1987 Mini-conference on Harmonic Analysis and Operator Algebras, Canberra, June 17-20, 1987.
  16. Singular integrals on BMO, Proceedings of the Centre for Mathematical Analysis, Australian National University, Vol. 16, 1987 Mini-conference on Harmonic Analysis and Operator Algebras, Canberra, August 5-8 and December 2-3, 1987.
  17. Operator estimates using the sharp function, Pacific J. Math. 139 No. 2 (1989), 267-277.
  18. Sharp function estimates for fractional integrals and related operators, J. Aust. Math. Soc. (Series A), 49 (1990), 1-9.
  19. Pointwise convergence of Hörmander multiplier operators, Colloquium Mathematicum 60/61 (1990), 301-304.
  20. BMO and singular integrals over local fields, J. Aust. Math. Soc. 54 (Series A) (1993), 321-333 (with James Daly).
  21. Weighted estimates for commutators of linear operators, Studia Math. 104 (2) (1993), 195-209 (with Josefina Alvarez, Richard J. Bagby, and Carlos Pérez).
  22. Classical operators on mixed-norm spaces with product weights, Rocky Mountain J. of Math. 37 No. 1 (2007), 269-283.

 

 

 

 

 

 

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EDUCATIONAL PUBLICATIONS

  1. Student research projects in the calculus curriculum, chapter in Priming the Calculus Pump: Innovations and Resources (MAA Notes, No. 17), Thomas Tucker (ed.), (1990) Washington, D.C.; Mathematical Association of America (with Marcus Cohen, Ed Gaughan, Art Knoebel, and David Pengelley).
  2. Student Research Projects in Calculus, (MAA Spectrum Series) (1991) Washington, D.C.; Mathematical Association of America (with Marcus Cohen, Ed Gaughan, Art Knoebel, and David Pengelley).
  3. Student perceptions of projects in learning calculus, International J. of Math. Ed. in Sci. and Tech. 23, No. 2 (1992), 175-192 (with Marcus Cohen, Marsha Conley, Ed Gaughan, Art Knoebel, David Pengelley, and Carol Stuessy).
  4. From projects to themes: The evolution of calculus classes at New Mexico State University, section in booklet for the National Science Foundation Calculus Workshops Program, Macalester College, 1992, 1993, 1994, and chapter in Viewer's Guide for Meeting the Challenge, Calculus Renewal, National Science Foundation national satellite video workshop, University Television, California State University, Long Beach, 1993.
  5. Making calculus students think with research projects, chapter in Mathematical Thinking and Problem Solving, Alan Schoenfeld (ed.), (1994) Hillsdale, N.J.; Lawrence Elrbaum Associates, Publisher (with Marcus Cohen, Art Knoebel, and David Pengelley).
  6. A case study of a partnership of equals: Calculus meet precalculus, article in Preparing for a New Calculus Conference Proceedings (MAA Notes, No. 36), Anita Solow (ed.), (1994) Washington, D.C.; Mathematical Association of America (with Art Knoebel and David Pengelley).
  7. Calculus at New Mexico State University, CASE Newsletter, No. 17 (1993), 1-6.

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FUNDED RESEARCH

  • Principal investigator: Norm inequalities for singular integrals, maximal functions, and multiplier operators, National Science Foundation Grant #MCS79-00918, June, 1979-May, 1981.
  • Visiting Fellow, Centre for Mathematical Analysis, Australian National University, Summer, 1987 - stipend for living expenses, with additional partial support from the National Science Foundation.
  • Co-Principal investigator: Student research projects in the calculus curriculum, National Science Foundation Grant #USE88-13904, July, 1988-June, 1991.
  • El Escorial and Madrid, Spain, June, 1989 - partial support from the National Science Foundation.
  • Principal investigator: Small grants for experimental research, Division of Mathematical Science, National Science Foundation.
  • Co-Principal investigator: Teacher enhancement through student research projects, National Science Foundation Grant #TPE90-53580, August, 1990-June, 1996.
  • Co-Principal investigator: Writing Math and Science Projects, NM Commission on Higher Education, Eisenhower Grant #B046466, April, 1993-March, 1994.
  • Principal investigator: Complex High School Mathematics Assignments Combining Problem Solving, Writing, Cooperative Learning and Discovery Learning, NM Commission on Higher Education, Eisenhower Grant (NMSU-940402), April, 1994-December, 1994.
  • Visitor, consultant on mathematics education, University of Adelaide and Flinders University, Summer, 1995 - stipend for living expenses, supported primarily with university ``Quality Education'' money.
  • Co-Principal investigator: Mathematically Connected Communities, NM Public Education Department Contract #04-924-P527-0159, June, 2004-May, 2007.
  • -- Co-Principal investigator: second contract with same name, NM Public Education Department, April, 2006-April, 2007.
  • Co-Principal investigator: Mathematically Connected Communities, Phase II, NM Public Education Department JPA #07-924-P527-0096, June, 2007-May, 2010.
  • -- Co-Principal investigator: second contract with same name, NM Public Education Department, July, 2007-June, 2008.
  • -- Co-Principal investigator: second contract with same name, NM Public Education Department, July, 2008-June, 2009.

 

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doug@nmsu.edu


Thursday, February 22, 2007