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