JOHNNY EARL BROWN EDUCATION B.A. Lehigh University 1973 M.A. University of Michigan 1974 Ph.D. University of Michigan 1979 PROFESSIONAL EXPERIENCE Assistant Professor Purdue University 1979-85 Visiting Asso. Prof. Arizona State University 1985 Associate Professor Purdue University 1985-90 Professor Purdue University 1990 PROFESSIONAL SOCIETIES AND HONORS American Mathematical Society Mathematical Association of America National Association of Mathematicians Association of Women in Mathematics 1998 Outstanding Teacher of Undergraduates in the School of Science 1999 Harold T. Amrine Visionary Award 1998-1999 Charles B. Murphy Award Purdue University Teaching Academy 2001 Top Ten Outstanding Teacher of Undergraduates - School of Science 2002 Who's Who Among America's Teachers RESEARCH INTERESTS Complex Analysis VITA Birthdate: February 17, 1951 Birthplace: Norfolk, Virginia Marital Status: Single Citizenship: USA PUBLICATIONS 1. Brown J.E., Geometric Properties of a Class of Support Points of Univalent Functions. Trans. Amer. Math. Soc. 256; 371-382, 1979. 2. Brown J.E., Univalent Functions Maximizing Re {a3 + la2} . Illinois Journ. Math. 25; 446-454, 1981. 3. Brown J.E., Derivatives of Close-to-convex Functions, Integral Means and Bounded Mean Oscillation. Math. Zeit. 178(3); 353-358, 1981. 4. Brown J.E., Meromorphic Univalent Functions Whose Ranges Contain a Fixed Disk. J. Analyse Math. 40; 155- 165, 1981. 5. Brown J.E. and Baernstein A., Integral Means of Derivatives of Monotone Slit Mappings. Comm. Math. Helv. 57; 331-348, 1982. 6. Brown J.E., Properties of Some Nonvanishing Extremal Univalent Functions. Math. Zeit. 187; 519-525, 1984. 7. Brown J.E., Quasiconformal Extensions for Some Geometric Subclasses of Univalent Functions. Internat. J. Math. and Math. Sci. 7(1); 187-195, 1984. 8. Brown J.E., A Method for Investigating Geometric Properties for Support Points and Applications. Trans. Amer. Math. Soc. 287; 285-29l, 1985. 9. Brown J.E., Some Sharp Neighborhoods of Univalent Functions. Trans. Amer. Math. Soc. 287; 475-482, 1985. 10. Brown J.E., On a Coefficient Problem for Nonvanishing Hp Functions. Complex Variables Theory and Applications 4(3); 253-265, 1985. 11. Brown J.E. and Tsao A., On the Zalcman Conjecture for Starlike and Typically Real Functions. Math. Zeit. 191; 467-474, 1986. 12. Brown J.E., Level Sets for Functions Convex in One Direction. Proc. Amer. Math. Soc., 100; 442-446, 1987. 13. Brown J.E., Iteration of Functions Subordinate to a Schlicht Function. Complex Variables, Theory and Applications (Special Issue dedicated to Max Schiffer), vol 9, no. 2-3 (1987) 143-152. 14. Brown J.E., Goldstein M. and MacDonald J., A Sequence of Extremal Problems for Trigonometric Polynomials. J. Math. Anal. Appl. 130; 545-551, 1988. 15. Brown J.E. and Walker J., A Coefficient Estimate for Nonvanishing Hp Functions. Rocky Mountain J. .Math., 18 (1988), 707-718. 16. Brown J.E., On the Ilieff-Sendov conjecture. Pacific J. Math, 135 (1988) 223-232. 17. Brown J.E., Images of Disks Under Convex and Starlike Functions, Math. Z., 202 (1989) 457-462. 18. Brown J.E., Goldstein M. and McDonald J., Lp-norms of Polynomials with Positive Real Part, J. Math. Anal. Appl. 156; 150-153, 1991. 19. Brown, J.E., On the Ilieff-Sendov Conjecture for Sixth Degree Polynomials, Proc. Amer. Math. Soc., 113 No. 4 (1991), 939-946. 20. Brown, J.E., A Proof of the Sendov Conjecture for Polynomials of Degree Seven, Complex Variables, Theory and Applications, vol 33 (1997), 75-95. 21. Brown, J.E. and Xiang, G.P., Proof of the Sendov Conjec ture for Polynomials of Degree at Most Eight, J. Math. Anal and Appl, 232 (1999), 272-292. 22. Brown, J.E., Applications of Extreme Points to Distortion Estimates, Complex Variables, Theory and Applications,vol 47 (2002), 229-237. CONFERENCE PROCEEDINGS: 1. "On The Sendov Conjecture for Polynomials With Real Critical Points", Proceedings of the 4th Conference for African American Researchers in the Mathematical Sciences (CAARMS), Contemporary Mathematics, American Mathematical Society, 1999 . INVITED ADDRESSES: 1. "A coefficient problem for nonvanishing Hp functions," Special Session, AMS Annual Meeting, New Orleans, LA (Jan. 1986). 2. "The Lp means of polynomials with positive real part," University of Delaware (April 1986). 3. "The L2 means of non-negative trigonometric polynomials," Florida State University (Feb. 1987). 4. "Desymmetrization and Goncar's conjecture," University of Delaware (March 1987). 5. "Iterations of functions subordinate to schlicht functions," University of Delaware (March 1987). 6. "On the Ilieff-Sendov conjecture," Arizona State University (April 1987). 7. "On the Sendov Conjecture," University of Michigan (March 1988). 8. "The Lp means of non-negative trigonometric polynomials," University of Wisconsin, March 1989. 9. "On the Sendov conjecture for polynomials of degree six," Special Session AMS Annual Meeting, Louisville, KY, January 1990. 10. "Calculus, the calculus of variations and optimal control theory," Wabash College, March 1991. 11. "The location of critical points of polynomials and the Sendov conjecture," University of Michigan, November 1995. 12. "The Location of Critical Points of Polynomials - Sendov's Conjecture", Arizona State University, February 1997. 13. "Infinitely many inequalities from one - a generalization of results of Schur and Caratheodory with applications to the Krzyz Conjecture", Arizona State University, February 1997. 14. "Locating Critical Points of Polymonials : Sendov's Conjecture," 4th Conference for African American Researchers in the Mathematical Sciences (CAARMS), Rice University, June 1998. 15. "Complex Analysis As A Tool", 5th Conference for African American Researchers in the Mathematical Sciences (CAARMS), University of Michigan, June 1999. PROFESSIONAL ACTIVITIES Referee for Michigan Math. Journal Referee for J. Math. Anal. Appl. Referee for Proceedings of AMS Referee for Houston J. Math. Referee for Math. Zeit. Referee for Rocky Mountain J. Math. Referee for Complex Variables Theory and Applications Reviewer for Math. Reviews COMMITTEES University Senate 1990-93 Faculty Affairs (University Senate) 1990-93 Graduate Committee (Head) 1992-96 Instructional Computing 1993- Promotions Committee 1993-94 School of Science Grievance Committee 1995-97 Calculus Committee 2001,2002 School of Science Charles B. Murphy Award Committee 2001,2002,2002 PHD STUDENTS Guangping Xiang (1996) On The Location of Critical Points of Polynomials