Johnny E. Brown

Born: February 17, 1951

Birthplace: Norfolk, Virginia

B.A. (1973) in Mathematics from Lehigh University; M.S. (1974) University of Michigan

Ph.D. (1979) from the University of Michigan.

thesis:Linear Extremal Problems in the Class of Univalent Functions; advisor: Peter DurenArea of Research Interests: Complex Analysis

: Professor of Mathematics, Purdue University

personal or universal URL: Johnny Brown's home page

email:Johnny E. Brown attended Booker T. Washington High School in Norfolk, Virginia, graduating in 1969. He earned his BA degree in mathematics from Lehigh University (1973) and earned his MA (1974) and PhD (1979) from the University of Michigan.

He has always been interested in mathematics since grade school. Early on he noticed how mathematics could be used to explain and understand the world around him. His mathematics teachers, all of whom were very gifted women, encouraged and helped nourish his talent. Lehigh University was a small engineering school in Pennsylvania where there were only 40 African-American students out of 4000 when he was a freshman. Those 40 students were very close. They all worked hard -- no one got any breaks and grading on a curve did not exist. Of course he was the only African-American student in all of his math classes.

At Purdue University, Dr. Johnny Brown was appointed Assistant Professor (1979), Associate Professor (1985) and Professor (1990).

In 1998 Dr. received the Harold T. Amrine Visionary Award from the Purdue chapter of the National Society of Black Engineers. He was head of the Purdue University graduate program in mathematics for five years and has served on numerous departmental and University committees.

RESEARCH

Dr. Johny E. Brown has published

24papers in Mathematics, one accepted for publication, and participated in refereeing for many journals, and has given invited addresses: Special Session, AMS Annual Meeting, New Orleans, LA (Jan. 1986); University of Delaware (April 1986); Florida State University (Feb. 1987); University of Delaware (March 1987); Arizona State University (April 1987); University of Michigan (March 1988); University of Wisconsin (March 1989); Special Session AMS Annual Meeting, Louisville, KY (Jan. 1990); Wabash College (March 1991); University of Michigan (Nov. 1995).SELECTED PUBLICATIONS

22.

Brown, Johnny E.On the Sendov conjecture for polynomials with real critical points. Contemp. Math.,252(1999), Amer. Math. Soc. 49--62,.21.

Brown, Johnny E.; Xiang, GuangpingProof of the Sendov conjecture for polynomials of degree at most eight. J. Math. Anal. Appl.232(1999), no. 2, 272--292.20.

Brown, Johnny E.A proof of the Sendov conjecture for polynomials of degree seven. Complex Variables Theory Appl.33(1997), no. 1-4, 75--95.19.

Brown, J.; Goldstein, M.; McDonald, J.$L\sb p$-norms of polynomials with positive real part. J. Math. Anal. Appl.156(1991), no. 1, 150--153.18.

Brown, Johnny E.On the Sendov conjecture for sixth degree polynomials. Proc. Amer. Math. Soc.113(1991), no. 4, 939--946.17.

Brown, Johnny E.Images of disks under convex and starlike functions. Math. Z.202(1989), no. 4, 457--462.16.

Brown, Johnny E.On the Ilieff-Sendov conjecture. Pacific J. Math.135(1988), no. 2, 223--232.15.

Brown, Johnny E.;Walker, Janice B.A coefficient estimate for nonvanishing $H\sp p$ functions. Rocky Mountain J. Math.18(1988), no. 3, 707--718.14.

Brown, Johnny; Goldstein, Myron; McDonald, JohnA sequence of extremal problems for trigonometric polynomials. J. Math. Anal. Appl.130(1988), no. 2, 545--551.13.

Brown, Johnny E.Iteration of functions subordinate to schlicht functions. Complex Variables Theory Appl.9(1987), no. 2-3, 143--152.12.

Brown, Johnny E.Level sets for functions convex in one direction. Proc. Amer. Math. Soc.100(1987), no. 3, 442--446.11.

Brown, Johnny E.; Tsao, AnnaOn the Zalcman conjecture for starlike and typically real functions. Math. Z.191(1986), no. 3, 467--474.10.

Brown, Johnny E.On a coefficient problem for nonvanishing $H\sp p$ functions. Complex Variables Theory Appl.4(1985), no. 3, 253--265.9.

Brown, Johnny E.Properties of some extremal nonvanishing univalent functions. Math. Z.187(1984), no. 4, 519--525.8.

Brown, Johnny E.A method for investigating geometric properties of support points and applications. Trans. Amer. Math. Soc.287(1985), no. 1, 285--291.7.

Brown, Johnny E.Some sharp neighborhoods of univalent functions. Trans. Amer. Math. Soc.287(1985), no. 2, 475--482.6. Baernstein, Albert, II;

Brown, J. E.Integral means of derivatives of monotone slit mappings. Comment. Math. Helv.57(1982), no. 2, 331--348.5.

Brown, Johnny E.Quasiconformal extensions for some geometric subclasses of univalent functions. Internat. J. Math. Math. Sci.7(1984), no. 1, 187--195.4.

Brown, Johnny E.Meromorphic univalent functions whose ranges contain a fixed disk. J. Analyse Math.40(1981), 155--165 (1982).3.

Brown, Johnny E.Derivatives of close-to-convex functions, integral means and bounded mean oscillation. Math. Z.178(1981), no. 3, 353--358.2.

Brown, Johnny E.Univalent functions maximizing ${\rm Re}\{a\sb{3}+\lambda a\sb{2}\}$. Illinois J. Math.25(1981), no. 3, 446--454.1.

Brown, Johnny E.Geometric properties of a class of support points of univalent functions. Trans. Amer. Math. Soc.256(1979), 371--382.

references: Dr. Browns web page; Math. Reviews;

SUMMA's Johnny E. Brown page: http://www.maa.org/summa/archive/Brown_JE.htm

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