DRASIN, David
Revised 4/18/97
DAVID DRASIN
EDUCATION
B.S. Temple University 1962
Ph.D. Cornell University 1966
PROFESSIONAL EXPERIENCE
Assistant Professor Purdue University 1966-69
Associate Professor Purdue University 1969-74
Professor Purdue University 1974-
PROFESSIONAL SOCIETIES AND HONORS
Associate Editor, American Mathematical Monthly 1968-71
Reviewer, Math Reviews, Zentralblatt
Associate Editor, Serdica (Bulgarian Journal) 1995-
Associate Editor, Annal of the Finnish Academy
(Annales Academiae Scientiarum Fennicae) 1996-
RESEARCH INTERESTS
Potential theory
Meromorphic functions
VITA
Birthdate: November 3, 1940
Birthplace: Philadelphia, PA
Marital Status: Married (Jennie)
Children: 3 (Daniel, 8 August 1970;
Benjamin, 31 December 1971;
Joseph, 14 July 1976).
PUBLICATIONS
1. Cusp forms and Poincare series. Amer. J. Math., 90 (1968)
356-365.
2. (with C. J. Earle) On the boundedness of automorphic forms.
Proc. Amer. Math. Soc. (October 1968), 1039-1042.
3. Tauberian theorems and slowly varying functions. Trans.
Amer. Math. Soc. 133 (1968), 333-356.
4. (with D. F. Shea) Complements to some theorems of Bowen and
Macintyre on the radial growth of entire functions with
negative zeros. Mathematical Essays Dedicated to A. J.
Macintyre, University of Ohio Press, Athens, Ohio, 101-121.
5. Normal families and the Nevanlinna theory. Acta Mathematica
122 (1969), 231-263.
6. (with D. F. Shea) Asymptotic properties of entire functions
extremal for the cos theorem. Bull. Amer. Math. Soc.
(January 1969), 119-122.
7. (with D. F. Shea) On the Valiron Deficiencies of integral
functions. Bull. London Math. Soc. (July 1969), 174-178.
8. An application of Tauberian methods to a problem in series.
Amer. Math. Monthly, 77 (1970), 152-155.
9. (with A. W. Weitsman) The growth of the Nevanlinna
characteristic and the logarithmic potential. Indiana
University Mathematics Journal 20 (1971), 699-715.
10. On asymptotic curves of functions extremal for Denjoy's
conjecture. Proc. London Math. Soc. (3) 26 (1973), 142-166.
11. (with D. F. Shea) Polya peaks and the oscillation of a
positive function. Proc. Amer. Math. Soc. 34 (1972), 401-
411.
12. (with D. F. Shea) Convolution inequalities, regular
variation and exceptional sets, Journal d'Anal. Math. 1976.
13. (with A. Weitsman) Meromorphic functions with large sums of
deficiencies. Advances in Mathematics 15 (1975), 93-126.
14. (with A. Weitsman) On the Julia directions and Borel
directions of entire functions. Proc. London Math. Soc.,
32 (1976), 199-212.
15. Value distribution of entire functions in regions of small
growth. Arkiv for Math. 12 (1974), 281-296.
16. A flexible proximate order. Bull. London Math. Soc. 6
(1974), 129-135.
17. The inverse problem of the Nevanlinna theory. Acta
Mathematica, 138 (1977), 83-151. Announcements in Bull.
Amer. Math. Soc. (1974); Proc. Conf. on Complex Analysis,
Canterbury (1973).
18. Introduction to potential theory and meromorphic functions.
International Centre for Theoretical Physics, Trieste,
(1975).
19. A note on functions of deficiency sum two. Annales Acad.
Sci. Fennacae Sera AI Vol 2 (1976), 59-66.
20. Two examples. Institut Mittag-Leffler, Report #8, 1977.
21. An application of quasi-conformal methods to a problem in
value-distribution theory. Springer Lecture Notes Vol. 747.
22. On equality in convoluton inequalities. Journal Math. Anal.
and Applications 78 (1980), 144-160.
23. Quasiconformal modifications of functions having deficiency
sum two. Annals of Mathematics, 114 (1981), 493-518.
24. (with A. Weitsman, Yang Lo, Zhang Guanghou) Deficient
values of entire functions and their derivatives. Proc. AMS
82 (1981), 607-612.
25. Some problems related to MacLane's class. Journal of London
Math. Soc. 2 (1981), 280-286.
26. Proof of a conjecture of F. Nevanlinna concerning functions
which have deficiency sum two. Acta Math. 158 (1987), 1-94.
27. (with W. K. Hayman) Value distribution of functions
meromorphic in an angle. Proc. London Math. Soc. (3), 48
(1984), 319-340.
28. (with E. Seneta) A generalization of slowly-varying
functions, Proc. A.M.S. 96 (1986), 470-472.
29. Some mathematical achievements of W. H. J. Fuchs, Complex
Variables, 12 (1989), ix-xviii.
30. On the Teichm=FCller-Wittich-Belinskii theorem. Resultate der
Mathematik 10 (1986), 54-66.
31. Some recent advances in value-distribution theory, Lecture
Notes in Math, No. 1277, (1987), 1-14.
32. (with A. W. Weitsman) Bounds on the sum of deficiencies of
meromorphic functions of finite order, Complex Variables 13
(1989), 111-131.
33. Asymptotic periods of entire and meromorphic functions, in
International Symposium in Memory of Hua Loo Keng, Science
Press-Springer, 1991, 89-106.
34. The impact of Lars Ahlfors's work in value-distribution
theory, Annals of the Finnish Academy 13 (1988), 329-353.
35. On Ahlfors's Theory of Covering Surfaces, Proceedings
Symposium on Value Distribution in Several Complex
Variables, Notre Dame press, 1992, 54-68.
36. (with Chong Ji Dai and Bao Qin Li) On the growth of entire
and meromorphic functions of infinite order, Journal d'
Analyse, 55 (1990), 217-228.
37. The minimum modulus of subharmonic functions of order one
and a method of Fryntov, to appear, Jour. London Math. Soc.
38. On asymptotic values of quasi regular mappings, to appear in
Israel J. of Math.
39. Meromorphic Functions: progress and problems, in Proceedings
of 1994 ICM (Zurich), Birkh=E4user Verlag, 828-835.
40. On deficiencies and fixpoints of composite meromorphic
functions, to appear in Complex Variables.
41. (with V.A. Azarin) On a generalization of trigonometrically
convex functions (manuscript in process of submission).
42. (with S. Sastry) On quasiregular mappings of small growth
(manuscript in preparation).
43. On Nevanlinna's inverse problem, to appear in Complex
Variables.
INVITED LECTURES 1978:
Gave invited hour address before AMS on November 1978.
INVITED LECTURES 1987:
Lars Ahlfors's work in value-distribution theory, May 1987
(Ann Arbor, MI), conference in honor of his eightieth
birthday
INVITED LECTURES 1994:
1. Main hour lecturer: Stoll retirement conference, Notre
Dame, March
2. Invited 45-minute speaker at 1994 ICM (Z=FCrich), August
INVITED LECTURES 1996:
1. Main hour lecturer: Sixtieth birthday of L. I. Hedberg,
Link=F6ping, Sweden, June
INVITED LECTURES 1997:
1. Main speaker and organizer: Potential Theory in honor of
Matts Essen, Uppsala, June
INVITED ARTICLES
1. Review of Griffiths' Entire holomorphic mappings in one and
several complex variables (Ann. Math. Studies) for Bulletin
Amer. Math. Soc.
2. Review of books by C-T Chuang and J Schiff on Normal
Families to appear in Bull. Amer. Math. Soc.
CONFERENCE - INVITED LECTURE
1. Emmy Noether Institute (Tel Aviv), November 1994
LECTURE NOTES (based on Harold Widom lectures; with A. J.
Tromba).
1. Introduction to measure and integration (Van Nostrand,
1969).
2. Integral equations (Van Nostrand, 1969).
EDITOR
Proceedings of the Conference to celebrate the proof of the
Bieberbach conjecture (with A. Baernstein, P. Duren, A.
Marden), American Math. Society, 1986.
Holomorphic Functions and Moduli I and II (with F. W. Gehring,
I. Kra and A. Marden), Springer, 2 volumes, 1988.
Lectures on Entire Functions by B. Ja Levin (AMS, 1996)
Co-Editor, Special issue of 'Complex Variables' issue in honor
of A.A. Goldberg
DEPARTMENT/UNIVERSITY SERVICE
Personnel Committee
Chairman, University Grievance Committee 1993-94
Recipient of Class of 1941 Innovation in Teaching Award for
1993