DAVID R. FINSTON

Department of Mathematics Phone: (505) 646-3901
New Mexico State University Fax: (505) 646-1064
Las Cruces, NM 88003 dfinston@nmsu.edu

Office Location: Walden Hall Room 216
Professional Experience Research Interests Research Publications
Education Honors and Awards Educational Publications

 

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PROFESSIONAL EXPERIENCE

1999-Present
Professor and Department Head
Department of Mathematical Sciences
New Mexico State University
Las Cruces, New Mexico
1995
Professor
Department of Mathematical Sciences
New Mexico State University
Las Cruces, New Mexico
1990-1995
Associate Professor
Department of Mathematical Sciences
New Mexico State University
Las Cruces, New Mexico
1989-1990
Associate Professor
Department of Mathematical Sciences
Virginia Commonwealth University
Richmond, Virginia
1987-1988
Honorary Fellow
Department of Mathematics
University of Wisconsin-Madison
Madison, Wisconsin
1983-1989
Assistant Professor
Department of Mathematical Sciences
Virginia Commonwealth University
Richmond, Virginia
1980
Research Assistant
Fachbereich Mathematik
Fernuniversitat Hagen
Hagen, Germany
1978-1983
Teaching Assistant
Mathematics Department
University of California, San Diego

 

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RESEARCH INTERESTS

Algebra, Group Action on Varieties

 

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RESEARCH PUBLICATIONS

  1. Finston, David R. (with Deveney, J.K.) Some observations about Ga actions. Submitted.
  2. Finston, David R. (with Deveney, J.K.) Sliced Gaactions. Submitted.
  3. Finston, David R. (with Deveney, J.K.) Local triviality of proper Ga actions. J. Algebra (to appear).
  4. Finston, David R. (with Deveney, J.K.) Twin triangular derivations. Osaka J. Math., (to appear).
  5. Finston, David R. (with Deveney, J.K.) Free Ga actions on C3. Proc. A.M.S., (to appear).
  6. Finston, David R. (with Deveney, J.K.) Determining local triviality of Ga actions. Comm. Alg., 27 (1999) 3031-3039.
  7. Finston, David R. and Walcher, Sebastian, "On a class of Additive Group Actions on Affine Three-Space", Rocky Mountain Journal of Mathematics, Vol. 28, Num. 2, summer 1998, pp. 463-485.
  8. Finston, D.R., Deveney, J.K.: On Locally trivial Ga Actions. Transformation Groups2, (1997) 137-145
  9. Finston, D.R., and Walcher, S. : Centralizers of locally nilpotent derivations. J. Pure and Applied Alg.,120 (1997) 39-49.
  10. Finston, D.R., Deveney, J.K.: Algebraic aspects of additive group actions on complex affine space. In Automorphisms of Affine Spaces 179-190, Kluwer Academic Publishers, 1995.
  11. Finston, D.R., Deveney, J.K.: actions on and . Comm. Alg. 22 (15) (1994) 6295-6302.
  12. Finston, D.R., Deveney, J.K.: A proper action which is not locally trivial. Proc. A.M.S. 123 (1995), 651-655.
  13. Finston, D.R., Deveney, J.K., Gehrke, M. : actions on . Comm. Alg., 22 (1994), 4977-4988.
  14. Finston, D.R., Messer, K., and Staniswalis, J.G.: Kernel estimators for multivariate regression. J. Nonparametric Statistics, 3 (1994), 103-121.
  15. Finston, D.R., Deveney, J.K.: Fields of invariants are ruled. Canadian Math. Bull. 37 (1994), 37-41 .
  16. Finston, D.R.: Algebras and differential equations with additive symmetry. Linear and Multilinear Algebra, 31 (1992) 235-243.
  17. Finston, D.R., Deveney, J.K.: Rationally triangulable automorphisms. J. Pure and Appl. Alg., 72 (1991) 1-4.
  18. Finston, D.R.: Rigidity and compact real forms for complex semi-simple Jordan algebras. Communications in Algebra, 18 (1990), 3323-3338.
  19. Finston, D.R.: Endomorphisms and null subalgebras revisited. Archiv der Mathematik, 54 (1990), 352-357.
  20. Finston, D.R.: On the growth of nomial extensions. Algebras, Groups and Geometries, 6 (1989), 453-462.
  21. Finston, D.R. and Röhrl, H.: Nomial homomorphisms of arbitrary algebras. Algebras, Groups and Geometries, 5 (1988), 151-186.
  22. Finston, D.R.: Endomorphisms and null subalgebras of finite dimensional algebras. Manuscripta Mathematica, 58 (1987), 229-244.
  23. Finston, D.R. and Farrand, S.M.: On the multiplication ideal of a nonassociative algebra. Archiv der Mathematik, 48 (1987), 298-302.
  24. Finston, D.R.: Polynomial Algebras have Polynomial Growth. Transactions of the American Mathematical Society, 300 (1987), 535-556.
  25. Finston, D.R.: On Multiplication Algebras. Transactions of the American Mathematical Society, 293 (1986), 807-818.
  26. Finston, D.R.: Separable Polynomials over Nonassociative Algebras. Communications in Algebra, 13 (1985),1597-1626.

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EDUCATIONAL PUBLICATIONS

Finston, D.R. with Alvarez, J. et. al. Calculus instruction at New Mexico State University through weekly themes and writing assignments. Primus, 3 (83-98), 1993.

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EDUCATION

B.A. University of Rochester 1976
M.A. University of Rochester 1977
Ph.D. University of California, San Diego 1983

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HONORS AND AWARDS

1998-1999 Eisenhower Teacher Education Grant
1996 National Security Agency Research Grant
1994 NMSU Minigrant To support summer research in Germany
1994 National Security Agency Grant to support the 1994 Holiday Symposium
1993 - 1996 Systemic Initiative for Math and Science Education (National Science Foundation, Eisenhower Foundation) Five Teacher Education Grants
1992 - 1993 National Security Agency Research Grant
1992 - 1994 National Science Foundation Grants to support the 1992 through 1994 Holiday Symposia
1991 - 1995 National Science Foundation Teacher Enhancement Grant
1991 Joint Vice President/College Research Award New Mexico State University

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Revised: Mon August 16, 1999 2:45 p.m. MST