Edward A. Azoff - Vita

Date and Place of Birth: October 4, 1945, Chicago, Illinois
  • Academic Degrees
  • Professional Experience
  • Publications
  • Refereeing and Reviewing
  • Participation in Course Development
  • Courses Taught
  • Departmental Service
  • Extra-Departmental Service
  • Honors
  • Return to E. Azoff's homepage
  • Academic Degrees

  • B.S., University of Chicago, 1967
  • M.S., University of Michigan, 1969
  • Ph.D., University of Michigan, 1972;   Dissertation directed by  Carl Pearcy .
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    Professional Experience

  • Postdoctoral Research Fellow, University of Georgia, 1972-73
  • Visiting Assistant Professor, University of Georgia, 1973-74
  • Assistant Professor, University of Iowa, 1974-75
  • Assistant Professor, University of Georgia, 1975-78
  • Associate Professor, University of Georgia, 1978-84
  • Professor, University of Georgia, 1985-
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    Publications

    1. K-reflexivity in finite-dimensional spaces, Duke Math. J. 40(1973), 821-830.   PDF
    2. Borel measurability in linear algebra, Proc. Amer. Math. Soc. 42 (1974), 346-350.   PDF
    3. Spectrum and direct integral, Trans. Amer. Math. Soc. 197(1974), 211-224.   PDF
    4. (with F. Gilfeather) Measurable choice and the invariant subspace problem, Bull. Amer. Math. Soc. 80(1974), 893-895.   PDF
    5. Compact operators in reductive algebras, Canad. J. Math. 27 (1975), 152-154.   PDF
    6. A note on direct integrals of spectral operators, Mich. Math. J. 23(1976), 65-69. PDF
    7. (with C.K. Fong and F. Gilfeather) A reduction theory for non-self-adjoint operator algebras, Trans. Amer. Math. Soc. 224(1976), 351-366.   PDF
    8. Invariant linear manifolds and the self-adjointness of operator algebras, Amer. J. Math. 99(1977), 121-137.   PDF
    9. (with K. Clancey) Toeplitz operators with sectorial matrix-valued symbols, Indiana Univ. Math. J. 26(1977), 933-938. PDF
    10. Kaplansky-Hilbert modules and the self-adjointness of operator algebras, Amer. J. Math 100(1978), 122-127.   PDF
    11. (with C. Bird) On the formation of coalitions in infinite player games, J. Math. Econ. 6(1979), 203-213. PDF
    12. (with K. Clancey and I. Gohberg) On the spectra of finite-dimensional perturbations of matrix multiplication operators, Manuscripta Math. 30 (1980), 351-360.
    13. (with K. Clancey) Spectral multiplicity for direct integrals of normal operators, J. Operator Theory 3(1980), 213-235.
    14. Spectral multiplicity for tensor products of normal operators, Proc. Amer. Math. Soc. 81(1981), 50-54.   PDF
    15. (with K. Clancey and I. Gohberg) On line integrals of rational functions of two complex variables, Proc. Amer. Math. Soc. 86(1982), 229-236.   PDF
    16. (with K. Clancey and I. Gohberg) Singular points of families of Fredholm integral operators, Toeplitz Centennial, Operator Theory: Advances and Applications, Volume 4(1982), 57-65.
    17. Borel maps on sets of von Neumann algebras, J. Operator Theory 9(1983), 319-340. PDF
    18. (with C. Davis) On distances between unitary orbits of self-adjoint operators, Acta Sci. Math. (Szeged), 47(1984), 419-439.
    19. On finite rank operators and preannihilators, Memoirs Amer. Math. Soc. Number 357, 1986.
    20. (with H. Shehada) From algebras of normal operators to intersecting hyperplanes, Proc. Symposia Pure Math. 51(1989), Part 2, 11-16.   PDF
    21. (with R. Younis) On the structure of support point sets, Int. J. Math. Math. Sci. 13(1990), 25-30. PDF
    22. (with H. Shehada) On separation by families of linear functionals, J. Functional Analysis 96(1991), 96-116.   PDF
    23. (with H. Shehada) Algebras generated by mutually orthogonal idempotent operators, J. Operator Theory 29(1993), 249-267.   PDF
    24. (with H. Shehada), Literal embeddings of linear spaces of operators, Ind. Univ. Math. J. 22(1993), 571-589.   PDF
    25. Test problems for operator algebras, Trans. Amer. Math. Soc. 347 (1995), 2989-3001.   PDF   DVI
    26. (with M. Ptak) On rank two linear transformations and reflexivity, J. London Math. Soc. (2) 53(1996), 383-396.   PDF   DVI
    27. (with M. Ptak) Jointly quasinormal families are reflexive, Acta Sci. Math. 61(1995), 545-547.   PDF   DVI
    28. (with L. Ding and W. Wogen) Separating versus strictly separating vectors, Proc. Amer. Math. Soc. 124(1996), 3135-3142.   PDF   DVI
    29. (with L. Ding) A good side to non--reflexive transformations. Nonselfadjoint operator algebras, operator theory, and related topics, Oper. Theory Adv. Appl. 104(1998), 1-21.   PDF   DVI
    30. (with M. Ptak) A dichotomy for linear spaces of Toeplitz operators, J. Funct. Anal. 156(1998), 411-428.   PDF   DVI
    31. (with E. Ionascu) Wandering sets for a class of Borel isomorphisms of [0,1), J. Fourier Analysis & Appl.6(2000), 623-638.   PDF   DVI
    32. (with E. Ionascu, D. Larson, C. Pearcy) Direct paths of wavelets, Houston J. Math. 29(2003), 737-756.   PDF   DVI
    33. (with R. Martinez-Avendano and J. Solazzo), Reflexivity of linear spaces of Hankel operators, Acta Sci. Math., to appear.   PDF   DVI

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    Refereeing and Reviewing

  • Refereed papers for:
  • Acta Scientiarum Mathematicarum
  • American Mathematical Monthly
  • Archiv der Mathematik
  • Canadian Journal of Mathematics
  • Canadian Mathematical Bulletin
  • Computers and Mathematics with Applications
  • Houston Journal of Mathematics
  • Indiana University Mathematics Journal
  • International Journal of Mathematics and Mathematical Sciences
  • Journal of Functional Analysis
  • Journal of Integral Equations and Operator Theory
  • Journal of Mathematical Analysis and Applications
  • Journal of Operator Theory
  • Michigan Mathematics Journal
  • Proceedings of the American Mathematical Society
  • Rocky Mountain Journal of Mathematics
  • Simon Stevin Journal
  • Transactions of the American Mathematical Society
  • Referee for NSF, NATO, promotions at other Universities
  • Reviewer for Mathematical Reviews (118 reviews), Zentralblatt (93 reviews)
  • Reviewer of the AMS Memoir: ``Charting the Operator Domain" by John Ernest
    for Linear Algebra and its Applications.
  • Referee of a monograph on direct integral theory for John Wiley and Sons, Inc.
  • Referee of 7 potential ``Introduction to Proof" textbooks for publishers.
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    Participation in Course Development

  • Calculus Workshop Program: 1988-90, 1993-1994
  • Placement Test for Entering Freshmen: 1989-
  • Introduction to Higher Mathematics (MAT 390=MATH 3200): 1989
  • Introduction to Graduate Mthematics (MATH 7900) 2003
  • Sequences and Series (MAT 350=MATH 3100 ): 1994, 1999, 2004
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    Courses Taught
     
    Title
    Number(s)
    Term(s)
    College Algebra
    100
    1
    Business Mathematics
    103
    1
    Liberal Arts Mathematics
    105, 106, 1060
    5
    Freshman Honors Mathematics
    115H
    1
    Precalculus
    116
    5
    Math for Elementary Teachers
    205, 206, 1700, 5001, 5020
    5
    Business Calculus
    204, 207, 208, 2110
    8
    Differential Calculus
    253, 2200
    15
    Integral & Multivariate Calculus
    254, 255
    4
    Introduction to Linear Algebra
    256, 3000
    8
    Calculus Workshop and Lab 
    260, 2200L
    2
    Honors Versions of 253-255
    263, 264, 265, 2300, 2310
    8
    Calculus with Theory
    273, 274, 275, 2400, 2410
    10
    Differential Equations
    358, 401, 460, 461, 2700
    6
    Sequences and Series
    350, 3100
    5
    Introduction to Proof
    390, 3200
    5
    Numerical Analysis
    403, 404
    2
    Advanced Calculus
    410, 411, 412
    3
    Applied Mathematics
    420, 421, 422
    3
    Topology
    4200
    1
    Number Theory
    431, 432
    2
    Modern Algebra and Geometry
    437, 438, 439, 4000
    4
    Introduction to Higher Algebra
    440, 441, 442
    3
    Linear Algebra
    450, 451, 452, 4050
    4
    Introduction to Real Analysis
    453, 454, 455, 4100
    7
    Introduction to Complex Analysis
    4150 1
    Combinatorics
    467
    1
    Introduction to Probability
    471, 472, 4600
    4
    Introduction to Game Theory
    4900
    1
    Directed Reading
    496, 7000
    3
    Foundations of Geometry
    520, 5200
    3
    Probability for Teachers
    556
    1
    Foundations of Graduate Mathematics
    7900
    1
    Real Analysis
    800, 801, 802, 8100
    11
    Complex Analysis
    814, 815, 816
    6
    Functional Analysis
    840, 841, 842
    6
    Topics in Analysis
    893
    1

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    Departmental Service

  • Major Professor for H. Shehada , L. Ding , and D. Bindner
  • Co-Major Professor for I. Argyros
  • Directed Masters Thesis for E. Jung, 2004-2005, P Bergonio, 2006-2007.
  • Research Mentor for J. Solazzo, 2000-2004
  • Teaching Mentor for D. Hemmer, 2001-2003
  • Member of 20 Dissertation Reading Committees (including 1 at the University of Alabama, 4 in Math. Ed., and 1 in Forestry)
  • Member of 8 Master Thesis Reading Committees
  • Graduate Advisor for 17 students
  • Member of 54 Preliminary Examination Committees (10 in Math. Ed.)
  • Qualifying/Preliminary Examinations Composed for
  • Real Variables: 1978, 1980, 1981, 1985, 1988 (twice), 1990, 1996, 2007;
  • Complex Variables: 1975, 1983, 1984, 1992, 1993,1999;
  • General Mathematics (for Mathematics Education Students): 1980, 1982, 1984, 1987, 1992, 1993, 1997, 1998, 2000, 2004, 2005, 2006, 2007
  • Algebra (committee), 2003-2005
  • Topology (committee) 2005
  • Entering Graduate Students, 2003-2005
  • Undergraduate Advisor: 1977-
  • Curriculum Committee: 1988, 1989-1991, 1994-2001, 2004-2005;
    Chair: Fall 1990-Summer 1991; Fall 1994-Summer 1995, Fall 1997-Summer 1998
  • Strahan Scholarship Committee: 1983, 1989, 1995, 1998, 2000
  • Kossack Prize Committee: 1983, 1990, 1992, 1995, 1996
  • McCay Selection Committee: 2005
  • Graduate Committee: 1975-76, 1980, 1983, 1985, 1989
  • Graduate Teaching Award Committee: 1989, 1992
  • Teaching Improvement Committee: 1992-1994
  • Faculty Search Committee: 1981, 2003-2004
  • Departmental Development Committee: 1981-82
  • Head Search Committee: 1982-83
  • Executive Committee: 1992-1994, 2006-2008
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    Extra-Departmental Service

  • Science Fair Judge: Spring 1976, 1977, 1978, 1980, 1981, 1988
  • Franklin College Faculty Senate: 2000--2003; Presiding Officer: 2002-2003
  • Franklin College Promotion and Tenure Committee: 1988
  • Franklin College Strategic Plan Committee: 1994
  • Franklin College Awards Committee: 1998
  • Franklin College Advisors' Council: 2005
  • Meigs Award Selection Committee: 2003, 2004 (Chair)
  • Graduate Review Committee for Department of Romance Languages: 1976
  • University Placement Committee: 1990, 2003
  • Academic Dishonesty Panelist: 1996-7
  • Division of Academic Assistance Advisory Committee: 1998-2000
  • Division of Academic Assistance Hiring Committee:  2002-2003
  • Georgia Statewide Early Placement Committee: 1997-2000
  • Hoover Scholarship Committee, 2005
  • Undergraduate Interviewer for the University of Chicago.
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    Honors

  • B.S. with honors, 1967
  • NSF Graduate Traineeship, 1967-68, 1971-72
  • Member of Sigma Xi
  • NSF Summer Support, 1973-87
  • Member of Graduate Faculty and Honors Faculty 1976 - (Graduate Faculty membership renewed in 2004)
  • Sandy Beaver Teaching Award, 1993.
  • Outstanding Honors Professor, 1994, 2005
  • Senior Teaching Fellow, 1995-6.
  • Josiah B. Meigs Teaching Award, 2001.
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