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Mircea Martin
Department of Mathematics

mircea.martin@bakeru.edu
Vitae    |     Teaching     |    Research    |    Homepage


Curriculum Vitae

Education     Employment    Teaching Experience    Research Interest
Professional Activities    Awards     Scientific Meetings     Publications


Education:

  •  Ph.D. in Mathematics, December 1983, University of Iasi, Romania.
  •  M.S. in Mathematics, June 1977, University of Bucharest, Romania.
  •  B.S. in Mathematics, June 1976, University of Bucharest, Romania.


Employment:

  • 1996:  Assistant Professor, Baker University, Baldwin City, KS.
  • 1995:  Adjunct Instructor, Johnson County Community College, Overland Park, KS.
  • 1992 - 1996:  Visiting Assistant Professor, University of Kansas, Lawrence, KS.
  • 1979 - 1992:  Researcher, INCREST/Institute of Mathematics of the Romanian Academy, Bucharest, Romania.
  • 1982 - 1992:  Associate Professor (part-time), University of Bucharest, Romania.
  • 1977 - 1979:  High school teacher, Bucharest, Romania.


Teaching Experience:

A. Classes taught at the University of Bucharest:

  • 1982 - 1983: "Topological K-theory" (2 semesters)
  • 1984 - 1985: "Analysis on Manifolds" (1 semester)
  • 1985 - 1986: "Hyponormal Operators" (2 semesters)
  • 1989 - 1990: "K-theory and Characteristic Classes" (2 semesters)
  • 1991 - 1992: "De Rham Cohomology" (2 semesters) "The Index Theorem for Dirac Operators" (2 semesters) "Differential Geometry" (1 Semester)

B. Classes taught at the University of Kansas, the Johnson County Community College, and Baker University:

  • 1992 - 1993: "Calculus" (Fall & Spring) "Elementary Differential Equations with Boundary Value Problems" (Summer)
  • 1993 - 1994: "Calculus" (Fall & Spring) "Differential Forms and Cohomology" (Spring) "Linear Algebra and Its Applications" (Summer)
  • 1994 - 1995: "Calculus" (Fall & Spring) "Readings in Mathematics" (Fall & Spring)
  • 1995 - 1996: "Calculus" (Fall & Spring & Summer) "Technical Mathematics" (Fall) "College Algebra" (Spring) "Introduction to Topics in Mathematics" (Summer) "Trigonometry" (Summer)
  • 1996 - 1997: "Intermediate Algebra" (Fall & Spring) "Mathematics and Modern Society" (Interterm) "College Algebra" (Spring & Summer) "Discrete Mathematics" (Spring) "Finite Mathematics" (Summer) "Calculus" (Summer)
  • 1997 - 1998: "Calculus" (Fall & Spring) "Intermediate Algebra" (Fall) "College Algebra" (Spring) "Statistics for Business" (Spring)
  • 1998 -1999: "Intermediate Algebra" (Fall & Spring) "Differential Equations" (Fall) "Fibonacci Numbers and the Golden Section" (Interterm) "Calculus" (Spring) "Precalculus" (Spring)


Research Interests:

  • Operator Theory
  • Differential Geometry
  • Clifford Analysis


  Professional Activities:

  • Coach of the Romanian team for the International Mathematical Olympiad (1977 - 1980).
  • Member of the Editorial Board of the Romanian Academy Mathematical Journals (1985 - 1992).


Awards and Grants:

  • First prize at the International Mathematical Olympiad, Poland, 1972.
  • "Gheorghe Titeica" award of the Romanian Academy, 1984.
  • NSF grants (DMS-9301187: 1994-1995, 1995-1996; DMS-9623142: 1996-1999).


Participation at Scientific Meetings:

A. Contributed presentations and invited lectures:

  • National Colloquium on Geometry and Topology (Romania,1979-1991)
  • International Conference on Operator Theory (Timisoara, Romania, 1980, 1985, 1987, 1988, 1992, 1998; Bucharest, Romania, 1986; Predeal, Romania, 1990)
  • International Seminar on Functional Analysis (Czechoslovakia, 1980, 1981, 1982, 1984)
  • Winter School on Geometry and Physics (Srni, Czechoslovakia, 1986, 1987, 1989, 1991)
  • GPOTS Annual Meetings (Boulder, CO, 1993; Lincoln, NE, 1994; Manhattan, KS, 1998)
  • Wabash Extramural Modern Analysis Seminar at Wabash College, 1993
  • Iowa-Nebraska Functional Analysis Seminar at Drake University, 1995
  • Second AMS-SMM Joint Mathematics Meeting, Guanajuato, Mexico, 1995
  • Southeastern Analysis Meetings, Richmond, VA, 1996
  • AMS Meetings (Iowa-City, IA, 1996; Manhattan, KS, 1998)

B. Colloquium talks:

  • University of Kansas (Lawrence, KS, 1992)
  • University of Iowa (Iowa City, IA, 1993, 1995)
  • Indiana University (Bloomington, IN, 1993)
  • University of California (Los Angeles, CA, 1994)
  • University of Puerto Rico (San Juan, PR, 1998; Mayaguez, PR, 1998)


List of Publications:

A. Articles in professional journals and refereed proceedings:

  • On the k-th mixed nullity space, Bull. Math. Soc. Sci. Math. R.S.R., 20 (1976), 273-277.
  • Des courbes (D, F)-plates, (with L. Nicolescu), Bull. Math. Soc. Sci. Math. R.S.R., 21(1977), 345-353.
  • Sur l' algebre associee a un champ tensoriel du type (1,2), (with L. Nicolescu), Acta Math. Acad. Sci. Hung., 31(1978), 27-35.
  • Invariant and quasi-invariant deformation algebras, Rev. Roumaine Math. Pures Appl., 24(1979), 1219-1227.
  • Almost product structures and derivations, Bull. Math. Soc. Sci. Math. R.S.R., 23(1979), 171-176.
  • Almost product structures and special algebras, An. Stiint. University "Al. I. Cuza" Iasi, Sect. I-a Mat., 24(1979), 61-64.
  • Einige Bemerkungen uber die Deformationsalgebra zweier linearer Zusammenhange, (with L. Nicolescu), Abh. Math. Sem. Univ. Hamburg, 49(1979), 244- 253.
  • On the (D,F,S)-subpaths, (with L. Nicolescu), Bull. Math. Soc. Sci. Math. R.S.R., 23(1979), 177-182.
  • Almost product structures and subcharacteristic algebras, An. Stiint. Univ. "Al. I. Cuza" Iasi, Sect. I-a Mat., 24(1979), 289-292.
  • A C*-algebra approach to the Cowen-Douglas theory, (with C. Apostol), Operator Theory: Advances and Applications, 2, Birkhauser Verlag, Basel - Boston - Stuttgart, 1981, pp. 45-51.
  • Almost contact structure and derivations, Rev. Romaine Math. Pures Appl., 26(1981), 267-173.
  • Geometric structures and derivations, Rev. Romaine Math. Pures Appl., 29(1984), 239-248.
  • Geometric structures on vector bundles. I: Geometric structures on vector spaces (Romanian), Stud. Cerc. Mat., 36(1984), 113-142.
  • Geometric structures on vector bundles.II: Geometric structures and derivations (Romanian), Stud. Cerc. Mat., 36(1984), 171-192.
  • Geometric structures on vector bundles.III: Equivalence and similarity (Romanian), Stud. Cerc. Mat., 36(1984), 269-292.
  • Geometric structures on vector bundles.IV: Operator theory methods in the equivalence problem (Romanian), Stud. Cerc. Mat., 36(1984), 349-386.
  • Hermitian geometry and involutive algebras, Math. Z., 188(1985), 359-382.
  • On hyponormal operators, (with M. Putinar), Stud. Cerc. Mat., 37(1985), 375- 392.
  • An operator theoretic approach to analytic functions into a Grassmann manifold, Math. Balcanica, 1(1987), 45-58.
  • A unitary invariant for hyponormal operators, (with M. Putinar), J. Funct. Anal., 72(1987), 297-332.
  • Projective representations of compact groups in C*-algebras, Operator Theory: Advances and Applications, 43, Birkhauser Verlag, Basel - Boston - Stuttgart, 1990, pp. 237-253.
  • Some comparability results in inductive limit C*-algebra, (with C. Pasnicu), J. Operator Theory, 30(1993), 137-147.
  • Differential geometry of generalized Grassmann manifolds in C*-algebras, (with N. Salinas), Operator Theory: Advances and Applications, 80, Birkhauser Verlag, Basel - Boston - Stuttgart, 1995, pp. 206-243.
  • The canonical complex structure of flag manifolds in a C*-algebra, (with N. Salinas), Operator Theory: Advances and Applications, 104, Birkhauser Verlag, Basel - Boston - Stuttgart, 1998, pp. 173-187.
  • Flag manifolds and the Cowen-Douglas theory, (with N. Salinas), J.Operator Theory, 39(1997), 329-365.
  • A model for joint seminormality, (with N. Salinas), preprint 1994.
  • Weitzenboeck-type formulas and joint seminormality, (with N. Salinas), Operator Theory for Complex and Hypercomplex Analysis, Contemporary Math., 212, AMS, 1998, pp 157-167.
  • Higher-dimensional Ahlfors-Beurling inequalities in Clifford analysis, Proc. Amer Math. Soc., 126:10(1998), 2863-2871.
  • Joint seminormality and Dirac operators, Integral Equations and Operator Theory, 30(1998), 101-121.
  • Sharp inequalities for convolution operators with homogeneous kernels and applications, (with P. Szeptycki), Indiana Univ. Math. J., 46 (1997), 975- 988.

B. Textbooks:

  • Introduction to Differential Geometry: Curves and Surfaces, University of Bucharest, 1975.
  • Complementary Topics to a Course of Geometry, (with G. Galbura), University of Bucharest, 1977.
  • The Geometry of Deformation Algebras, (with G. Vranceanu and L. Nicolescu), University of Bucharest, 1983.
  • Lectures on De Rham Cohomology, in preparation.

C. Monographs:

  • Lectures on Hyponormal Operators, (with M. Putinar), OT39, Birkhauser Verlag, Basel - Boston -Berlin, 1989.

D. Translations:

  • Differentiable Operators and Nonlinear Equations, by V.A. Khatskevich and D.M. Shoikhet (from Russian into English), OT 66, Birkhauser Verlag, Basel - Boston - Berlin, 1993.
  • Asymptotics of nonlinearities and operator equations, by A.M. Krasnoselskii (from Russian into English), OT76, Birkhauser Verlag, Basel - Boston - Berlin, 1995.
  • Fibonacci Numbers, by N. N. Vorobiev (from Russian into English), Birkhauser Verlag, Basel - Boston - Berlin, to appear in 1999.

 

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