Roger W. Barnard's Vita

EDUCATION

• Ph.D. University of Maryland August 1971
  (Advisor William Kirwan)
• M.A. Kent State University June 1968
• B.S. Kent State University June 1965

SPECIALIZATION

     Primary: Complex Analysis (Geometric Function Theory)

     Secondary: Special Functions of Mathematical Physics

PROFESSIONAL EXPERIENCE

• Visiting Professor, University of South Florida, November-December 2007 (four weeks).
• Visiting Scholar, University of Tennessee, November 2007 (two weeks).
• Visiting Scholar, University of Cincinnati, October 2007 (three weeks).
• Visiting Scholar, University of Michigan, September 2007 (four weeks).
• Giovanni-Prodi Chair Holder, University of Würzburg, Germany, May 2006 - August 2006
• Member Rocky Mountain Consortium Board since 1998 serving as Secretary 1998, Vice President 1999, President 2000 and 2001.
• Director of Graduate Studies, Mathematics. July 1991 - May 1993
• Visiting Scholar, Universitat at Würzburg, Würzburg, Germany, May 1993 - August 1993
• Visiting Scholar, University of California{San Diego, January 1987 - June 1987 and January 1988 - June 1988
• Professor, Texas Tech University, September 1986 - present
• Visiting Research Professor, Indiana University, Spring 1985
• Associate Professor, Texas Tech University, September 1979 - August 1986
• Visiting Associate Professor, University of Kentucky, September 1977 - June 1978, Summer 1980, and Fall 1984
• Assistant Professor, Texas Tech University, September 1975 - August 1979
• Lecturer, Texas Tech University, July 1973 - August 1975
• Postdoctorate, (NSF) University of Kentucky, August 1971 - June 1973

PUBLICATIONS

1. "Iceberg-type Problems: Estimating Hidden Parts of a Continuum from the Visible Parts," accepted in Mathematische Nachrichten (with K. Pearce and A.Y. Solynin).
2. "On Inequalities for Hypergeometric Analogues of the Arithmetic-Geometric Mean," accepted in Journal of Inequalities in Pure and Applied Math (with K. Richards).
3. "Preservation of local dynamics when applying central difference methods; Application to SIR model," Journal of Difference Equations and Applications Vol. 13 #4 (2007) pp. 333-340 (with L. Roeger).
4. "A note on a minimal area problem for non-vanishing functions," Quasiconformal Mappings and their Applications (2007), pp 1-9 (with C. Richardson and A.Y. Solynin).
5. "Some results on spaces of packable Riemann surfaces," Geometric Function Theory, Special Functions and Applications (2007), pp 1-16 (with E. Murphy, G.B. Williams).
6. "The Verification of an Inequality," Geometric Function Theory, Special Functions and Applications (2007), pp 17-42 (with K. Pearce).
7. "A sharp bound on the Schwarzian derivative of hyperbolically convex functions," Proc. London Math. Soc. 93 (2006) pp. 395-417 (with L. Cole, K. Pearce and G.B. Williams).
8. "A minimum area problem for non-vanishing functions," Algebra i Analiz 18 (2006), no. 1, pp. 34-54 (with C. Richardson and A.Y. Solynin).
9. "A variational method for hyperbolically convex functions," (with G.L. Ornas and K. Pearce) Complex Variables, Theory and Application (accepted).
10. "The Poincare metrics and isoperimetric inequalities for hyperbolic functions," (with P. Hadjicostas and A.Y. Solynin) Trans. AMS Vol 357, No. 10 (2005) pp 3905-3932.
11. "Concentration of area in half-planes," (with C. Richardson and A.Y. Solynin) Proc. AMS Vol. 133, No. 7 (2005) pp. 2091-2099.
12. "Univalency of weighted integral transforms of certain functions," (with S. Naik and S. Ponnusamy) Analysis (Munich) Vol. 24 (2004), no. 1, pp. 71-94
13. "Local variations and minimal area problems," (with Alex Solynin) Indiana J. of Math Vol.53 (2004) pp. 135-167.
14. "Two parameter family of close-to-convex functions and convolution theorems," (with S. Naik, M. Obradovic and S. Ponnusamy) Analysis (Munich) Vol. 24 (2004) pp. 71-94.
15. "Three Extremal Problems for Hyperbolically Convex Functions," (with K. Pearce and G.B. Williams) Computational Methods and Function Theory Vol.4 (2004) pp. 97-109 .
16. "Area, width, and logarithmic capacity of convex sets," (with K. Pearce and A.Y. Solynin) Pac. J. Math. Vol. 212, No. 1 (2003) pp. 13-24.
17. "Minimal harmonic measure on complementary regions," (with Leah Cole and A.Y. Solynin) Computational Methods and Function Theory Vol. 2, No. 1 (2002) pp. 229-248.
18. "An isoperimetric inequality for logarithmic capacity," (with K. Pearce and A.Y. Solynin) Ann. Acad. Sci. Fenn. Math Vol. 27 (2002) pp. 419-436.
19. "Combinatorial excursions in moduli space," (with G. B. Williams) Pacific J. of Math Vol. 205, No. 1 (2002) pp. 3-30.
20. "A note on the hypergeometric mean value," (with K. Richards) Computational Methods and Function theory Vol 1., No. 1 (2001) pp. 81-88.
21. "Polynomial controller for linear systems," (with W. Dayawansa and C. Martin) Math and Computer Modeling, Vol.33 (2001) pp. 79-87.
22. "Zeros of Cesaro sum approximations," (with K. Pearce and W. Wheeler) Complex Variables and Appl. Vol.45 (2001) pp. 327-348.
23. "Inequalities for the perimeter of an ellipse," (with K. Pearce and L. Schovanec) J. of Math. Analysis and Appl., Vol.260,(2001) pp. 693-699.
24. "A survey of applications of the Julia variation," (with C. Campell and K. Pearce) Annales Univ. Maria-Curie-Sklodowska, Vol. LIV,1, Sec.A (2000) pp. 1-20.
25. "A monotonicity property involving 3F2 and comparisons of the classical approximations of elliptical arc length," (with K. Pearce and K. Richards) SIAM J. of Math. Analysis., Vol.32,No2,(2000) pp. 403-419.
26. "An inequality for generalized hypergeometric functions and arc length of an ellipse," (with K. Pearce and K. Richards) SIAM J. of Math. Analysis. Vol.31,No3,(2000) pp. 693-699.
27. "On Applications of Hypergeometric Functions," J. of Computational and Applied. Math Vol.105 (1999) pp. 1-8
28. "Cesaro sum approximations of outer functions," (with J. Cima and K. Pearce) Annals M. Curie Sklodowska Univ. Ser. A, 52,1 (1998) pp. 1-7.
29. "Gram polynomials and the Kummer function," (with G. Dahlquist, K. Pearce, L. Reichel, and K.C. Richards) J. of Approx. Thy. 94 (1998) pp. 128-143.
30. "On a coeffcient conjecture of Brannan," (with K. Pearce, and W. Wheeler) Complex Variables, Theory and Application. 33 (1997) pp. 51-61.
31. "An application of the Schur-Cohn algorithm to time series analysis," (with K. Chanda) J. of Time Series Analysis. Vol. 16, No. 5 (1995) pp. 445{449.
32. "Inequalities for zero-balanced hypergeometric functions," (with G.D. Anderson, K. Richards, M. Vamanamurthy, and M. Vuorinen) Transactions of American Math. Soc. Vol. 347, No. 5, (1995) pp. 1713-23.
33. "An inverse distortion theorem for univalent functions in the unit disc," (with St. Ruscheweyh) Annals M. Curie Sklodowska Univ. Sec A. 48, (1994) pp. 6-11.
34. "A short proof of a conjecture on the integral means of the derivative of a convex function," (with K. Pearce) Annals M. Curie Sklodowska Univ. Sec A. 48, (1994) pp. 1-5.
35. "A distortion theorem for biholomorphic mappings in C2," (with C. FitzGerald and S. Gong)Transactions, American Math. Soc. 344 (1994) pp. 907-924.
36. "An application from partial sums of e z to a problem in several complex variables," (with K. Pearce and R. Varga) J. of Computational and Applied Math. 46 (1993) pp. 271-279.
37. "Sharp bounds on the Hp means of the derivative of convex functions for p = -1," (with K. Pearce) Complex Variables, Theory and Application 21 (1993) pp. 149-158
38. "The growth and 1/4 theorems for starlike mappings in Cn," (with C. FitzGerald and S. Gong) Paci¯c J. Math. 150, No. 1, (1991) pp. 13-22. (Summary had appeared in Chinese Sci. Bull. Vol. 35 No. 5 (1991) pp. 357-359).
39. "Polynomials with non-negative coefficients," (with W. Dayawansa, H. Pearce, and D. Weinberg) Proc. Amer. Math. Soc. Vol. 113, No. 1, (1991), pp. 77-86.
40. "On Möbius transformations of starlike mappings," (with G. Schober), Complex Variables, Theory and Application Vol. 15, (1990) pp. 211-221.
41. "Open problems and conjectures in complex analysis," Computational Methods and Function Theory. Lecture notes in Math #1435, Verlag. (1990) pp. 1-25.
42. "Weighted inverse Hölder inequalities," (with J. Wells) Jnl. of Math. Analysis and Applications, Vol. 147, No. 1 (1990). pp. 198-213.
43. "On the omitted area problem," (with J. L. Lewis) Mich. Math. Jnl., Vol. 34, 1987 pp. 13-22.
44. "Math technology for generating mirror panel layouts for an icosahedral solar bowl," (refereed) Proc. on Solar Energy Conference, Anaheim, CA, March, 1986. (with R. Anderson and W.T. Ford) pp. 1-239.
45. "Möbius transformations for convex mappings II," (with G. Schober) Complex Variables Theory and Applications. Vol. 7 (1986) pp. 205-214.
46. "On the zeros of interpolating polynomials," (with W.T. Ford and H. Wang) SIAM Jnl. of Math. Anal., Vol. 17, No. 3 (1986), pp. 734-744.
47. "Rounding corners of gearlike domains and the omitted area problem," (with K. Pearce) SIAM Jnl. of Computational and Applied Math., 14 (1986), pp. 217-226. Also appeared in Numerical Conformal Mapping, North Holland, 1986.
48. "On the omitted area problem," Contemporary Math Series, Vol. 38, 1985, pp. 53-60.
49. "Möbius transformations for convex mappings," (with G. Schober) Complex Variables Theory and Applications, Vol. 3, 1984, pp. 45-54.
50. "On Campbell's conjecture on the radius of majorization of functions subordinate to convex functions," (with C.N. Kellogg) Rocky Mtn. Jnl., Vol. 14, 1984, pp. 331-339.
51. "On the simultaneous univalence of f and f '," (with T. Suffridge) Mich. Math. Jnl., Vol. 30, 1983, pp. 9-16.
52. "On the local variation of analytic slits," Annals M. Curie Sklodowska Univ., (Commemorative issue), Vol. XXXVI-II, 1982-1983, pp. 19-24.
53. "Applications of convolution operators to problems in univalent function theory," (with C.N.Kellogg) Mich. Math. Jnl., Vol. 27, 1980, pp. 81-94.
54. "On Robinson's 1/2 conjecture," Proc. AMS 72, No. 1, 1978, pp. 135-139.
55. "On a generalization of Study's theorems for convex functions," Proc. AMS, Vol. 72, No. 1, 1978, pp. 127-134.
56. "On bounded univalent functions whose ranges contain a fixed disk," Trans. AMS, Vol. 225, 1977, pp. 123-144.
57. "On quasi-starlike functions," Ann. Pol. Math., XXXII, 1976, pp. 303-308.
58. "On the radius of starlikeness of (zf)' for f univalent," Proc. AMS, Vol. 53, No. 2, 1975, pp. 385-390.
59. "A variational technique for bounded starlike functions," Can. Journal Math., Vol. XXVII, No. 2, 1975, pp. 337-347.
60. "On a coeficient inequality for starlike functions," Proc. AMS (47) 2, 1975, pp. 429-430.
61. "Coeficient bounds for some classes of starlike functions," (with J.L. Lewis) Pacific Journal Math., Vol. 56 (2) 1975, pp. 325-331.
62. "Subordination theorems for some classes of starlike functions," (with J.L. Lewis) Pacific Journal Math., Vol. 56 (2) 1975, pp. 333-366.
63. "A counterexample to the two-thirds conjecture," (with J.L. Lewis) Proceedings American Math. Soc. (41) 2, 1973, pp. 525-529.

BOOKS (TEXTS) WHERE WORK HAS BEEN DISCUSSED

• Analytic Theory of Polynomials, Q.I. Rahman and G. Gchmeisser (2002) Oxford Science Publications. (3 references).
• Univalent Mappings of Several Complex Variables, G. Kohr, and P. Liczberski(1998) Cluj University Press. (3 references).
• Conformal Invariants, Inequalities, and Quasiconformal Maps, Anderson, Vamanamurthy, and Vuorinen (1997) J. Wiley (5 references).
• Polynomials and Polynomial Inequalities, Borwein, P. and Erdelyi, T. Graduate Texts in Math #161 (1995) Springer. (2 references).
• Computational Methods and Function Theory, Ed's. Ruscheweyh, etc. Lecture Notes in Math #1435 (1990) Springer. (3 references).
• The Bieberbach Conjecture Proceedings of the Symposium on the Occasion of the Proof, Ed's. Baernstein, A., etc. AMS Math Surveys, Monographs, No. 2 (1986). (2 references).
• Univalent Functions. Vol. II, A.W. Goodman (1983) Mariner. (4 references). (Chapter 15 based on paper number [11] in bibliography).
• Univalent Functions. Vol. I, A.W. Goodman (1983) Mariner. (2 references).
• Convolutions in Geometric Function Theory, Ruscheweyh, S. #83 (1982) Les Presses de L. Universite de Montreal (2 references).
• Bibliography of Schlicht Functions, Bernardi, S.D. (1982) Mariner. (15 references).
• Aspects of Contemporary Complex Analysis, Ed's. Brannan, D. and Clunie, J. (1980) Academic Press. (8 references).
• Complex Analysis Kentucky 1976, Ed's. Dold, A. and Eckmann. Lecture Notes in Math #599 (1977) Springer. (1 reference).
• Univalent Functions Selected Topics, Schober, G. Lecture Notes in Math #478 (1975) Springer. (2 references).

HONORS AWARDED

• Recipient of Giovanni-Prodi Chair under the auspices of the German DAAD, Summer 2006, University of Würzburg, Germany.
• College of Arts and Sciences, Texas Tech University, "Outstanding Researcher Award, 2005.
• KMU Professor of the Year, 2004
• University Professing Excellence Award for Teaching, 2002
• SIAM Graduate Professor of the Year, 2001

CONTRACTS AND GRANTS AWARDED

• Awarded REU Grant, "Multidisciplinary Summer Undergraduate Reserach Program in computation and Control of biological and Biologically Inspired Systems", Department of Defense and National Science Foundation, (Senior Personnel), $20,000 for Summer 2006-2007.
• Awarded NSF Grant for $47,500 to support an international workshop and conference on Quasiconformal Mappings, India, Dec. 27, 2005 - Jan. 7, 2006 (with G.B. Williams co-Principal Investigator).
• Awarded Summer Dissertation/Thesis Award for $2000 for my PhD student, C. Hume, for summer 2005.
• Awarded Summer Dissertation/Thesis Award for $2000 for my PhD student, L. Ornas, for summer 2002.
• Awarded Summer Dissertation/Thesis Award for $2000 for my PhD student , C. Richardson, for summer 2001.
• Awarded Summer Dissertation/Thesis Award for $2000 for my PhD student, L. Butler Cole, for summer 2001.
• Awarded Summer Dissertation/Thesis Award for $2000 for my Master’s student, L. Butler, for summer 1998.
• Awarded Digital Equipment Corporation grant for computer equipment (with Principal Investigator Clyde F. Martin et. al) $160,000 for 1996-1997.
• Awarded NSF Equipment Grant, "Mathematical Sciences Computational Research Environment" (with Principal Investigator Clyde F. Martin et. al) $77,706 for 1996-1997.
• Awarded Summer Research Assistantship for $2000 for my Ph.D. student, W. Wheeler, for summer 1997.
• Awarded Summer Research Assistantship for $1000 for my Ph.D. student, W. Wheeler, for summer 1996.
• Awarded Summer Research Assistantship for $1000 for my Ph.D. student, W. Wheeler, for summer 1995.
• Awarded a German Research Foundation Grant for 26,920 DM ($15,000) to spend summer 1993 at Mathematishes Institut, Würzburg, Germany.
• Awarded a 2-year Texas Advanced Research Proposal grant titled "Problems in geometric function theory" $37,271 for 1991-94.
• Served as a research associate on R.A. Anderson and W.T. Ford's Center for Energy Research grant from the Department of Energy, receiving summer salaries of: $3166, 1983; $5023, 1984; $8300, 1985; $11,467, 1986.
• Awarded a 2-year NSF research grant from 1979-1981 for $16,046.

INVITED COLLOQUIA AND HOURLY TALKS

1. University of Tennessee, November 2007.
2. University of Cincinnati, October 2007 (Two talks).
3. University of Michigan, September 2007 (Three talks).
4. University of Illinois, October 2006.
5. University of Würzburg, Summer 2006 (Series of five talks on different topics).
6. City University of New York, May 2005.
7. Virginia Polytechnic Institute and State University , February 2005.
8. College of William and Mary, February 2005.
9. University of Arkansas, February 2005.
10. University of Cincinnatti, April 2004.
11. University of Tennessee, January 2002
12. Southwestern University, Georgetown, May 2000
13. San Diego State University , November 1999
14. Arizona State University, November 1999
15. University of Hawaii, June 1999
16. Southwestern University, Georgetown, May 1998
17. Southwestern University, Georgetown, June 1997.
18. Kent State University, February 1997.
19. Southwestern University, Georgetown, June 1996.
20. Penang University, Malaysia, April 1996.
21. Southwestern University, Georgetown, June 1995.
22. Florida State University, April 1995
23. University of Florida, April 1995
24. Stephen F. Austin University, February 1995
25. Southwestern University, Georgetown, November 1994
26. Katholieke Universitat Nijmegen, Netherlands, July 1993
27. Wichita State University, November 1992
28. University of Kentucky, May 1992
29. University of Cincinnati, March 1992
30. University of Delaware, March 1992
31. B. Baruch College, March 1992
32. Kent State University, October 1991
33. Indiana University, October 1990
34. Washington University at St. Louis, October 1990
35. University of Wisconsin, October 1990
36. Syracuse University, October 1990
37. University of Madras, India, July 1990
38. University of Delaware, May 1990
39. Kent State University, September 1989
40. Indiana University, June 1989
41. Purdue University, June 1989
42. University of Valparaiso, Chile, March 1989
43. University of California at San Diego, April 1988
44. University of California at San Diego, May 1987
45. University of Michigan, November 1986
46. Kent State University, August 1986
47. Bowling Green University, May 1986
48. SUNY at Albany, May 1985
49. Indiana University, April 1985
50. University of Delaware, April 1985
51. University of Maryland, April 1985
52. University of West Virginia, April 1985
53. University of Montreal, Canada, April 1985
54. University of Lavel, Quebec, Canada, April 1985
55. University of Cincinnati, April 1985
56. Miami University, March 1985
57. University of Kentucky, December 1984
58. University of Kentucky, October 1984
59. Kent State University, October 1983
60. Mariae Curie Institute, Lublin, Poland, August 1983
61. University of Maryland, August 1983
62. University of Cincinnati, April 1982
63. University of Delaware, April 1982
64. Brigham Young University, July 1978
65. University of Cincinnati, May 1978
66. University of West Virginia, May 1978
67. University of Maryland, March 1978
68. University of Delaware, March 1978
69. University of Kentucky, September 1977
70. University of Michigan, January 1977
71. University of Texas, April 1976

TALKS AT ANNUAL AMS MEETINGS

     Talks were given at American Mathematical Society annual meetings: (every year since 1972 except 1985, 1988, 1992, 1993 and 2003).

CONFERENCES ORGANIZED

1. Organizer, Advisory Committee, Plenary Speaker: "International Conference on Geometric Function Theory, Special Functions and Applications, Pondicherry, India, January 2006.
2. Organizer, Advisory Committee, Plenary Speaker: "International Workshop on Quasiconformal Mapping," Chennai, India, December 2005.
3. Organizer: AMS Special Session on "Recent Developments in Geometric Function Theory," Lubbock, Texas, April 2005.

INVITED CONFERENCES AND SPECIAL SESSIONS

1. Participation in Classical Analysis Conference at University of North Carolina, September 2007. (chaired session.)
2. Special Session on "Complex Analysis" at the CMS-MITACS Joint Conference, Winnipeg, Manitoba, June 2007. (chaired a session.)
3. "Tag de Functiontheorie" at RWTH, Aachen, Germany, June 2006.
4. "International Conference on Complex and Harmonic Analyis" at Aristole University of Thessalonki, Greece, May 2006. (chaired a session.)
5. Special Session on "Special Functions and Polynomials" at Regional AMS Meeting at University of Notre Dame, April 2006.
6. Plenary talk at "Recent Advances in Operator Related Function Theory," honoring Peter Duren's 70^th birthday, Madrid, Spain, October 2005. (chaired a session.)
7. "Computational Mehtods and Function Theory V," Joensu, Finland, June 2005. (chaired a session.)
8. Plenary talk at "Analysis Conference on the Interplay of Complex Variable, Probability and Partial Differential Equations," honoring Al Baernstein's 65^th birthday, Washington University, St. Louis, Missouri, May 2005.
9. Mathematisches Forschungainstitut, Funktionentheorie, Oberwolfach, Germany, February 2004.
10. "Praire Analysis Seminar" at Kansas State University, Manhattan, Kansas, October 2003. (chaired a session.)
11. Special session on "Cosntructive Approximation Theory," Seville, Spain, June 2003.
12. "Nevanlinna Colloquium" and "Workshop on Metric Spaces," Jveskala, Finland, June 2003 (chaired a session.)
13. Seminar at Steklov Institute of Mathematics, St. Petersburg, Russia, June 2003.
14. International conference on "Quadrature Domains and Applications" honoring H. Shaprio's 75th birthday at University of California at Santa Barbara, Santa Barbara, California, March 2003.
15. International conference on "Geometric Function Theory" honoring H. Grotzsch at Martin Luther University in Halle-Wittenberg, Germany, May 2002.
16. Special session on "Topics Geometric Function Theory" at Regional AMS meeting at University of Michigan, March 2002. (chaired a session.)
17. Special session on "Geometric Function Theory" at Regional AMS meeting in Chattanooga, Tennessee, October, 2001. (chaired a session.)
18. "Computational Methods and Function Theory ’01’ ," International conference at Aviero, Portugal , June 2001.
19. Special session on "Complex Variables" at Regional AMS meeting in University of Kansas, March 2001.
20. "Workshop on Planar Harmonic Mappings" at the Technion , Haifa, Israel. January, 2000.
21. "Mathematical journey through analysis matrix theory and scientific computing International Conference honoring R. Varga’s 70th birthday at Kent State University June ,1999. (chaired a session.)
22. "International conference on Analytic Functions" honoring J. Krzyz's 75th birthday in Lublin, Poland, September 1998. (Gave Plenary lecture and special lecture honoring Krzyz and chaired a session.)
23. Computation and Control VI conference, Montana St. U. August 1998. (Chaired a session.)
24. NSF Summer Research Conference honoring Richard Askey's 65th birthday. Mount Holyhoke College, MA, June 1998.
25. Special session on "Modern Function Theory" at AMS meeting in Louisville, KY in March 1998.
26. "International conference on Computational Methods and Function Theory" III. Cyprus. October 1997. (Chaired a session.)
27. Conference on occasion of Haakon Waadeland's 70th birthday, Trondheim, Norway. June 1997. (Gave plenary talk.)
28. Special session on Geometric function theory in one and several complex variables" at annual AMS meeting in San Diego, CA. January 1997.
29. ODE to Linear Algebra and Rational Approximation Conference, Naval Postgraduate School, Monterey, CA. November 1996.
30. Workshop on Convolution Operators, University of Wyoming, July 1996. (Chaired a session and obtained local support for 2 accompanying graduate students.)
31. Mathematisches Forschungainstitut, Funktionentheorie Oberwolfach, Germany. April, 1996. (Chaired a session.)
32. Special session on Elective approaches on training teaching assistants," Annual AMS meeting, San Francisco, CA, January 1995.
33. Special session on Geometric function theory in one and several complex variables," Annual AMS meeting, San Francisco, CA, January, 1995.
34. International workshop on Geometric Function Theory (gave principal address), Lublin, Poland, June, 1994.
35. Banach Center Symposium on Complex Analysis, Warsaw, Poland, June, 1994. (Chaired a session)
36. International conference on New Trends on geometric function theory and Appl., II," Penang, Malaysia, March 1994. (Unable to attend, personal reasons).
37. Annual Function Theory Conference, Dortmond, Germany, June, 1993.
38. Mathematisches Forschungainstitut, Funktionentheorie Oberwolfach, Germany, Feb., 1992.
39. Mathematisches Forschungainstitut, Constructive Methods in Complex Analysis Oberwolfach, Germany, Feb., 1991.
40. International conference on New Trends in Geometric function theory and Applications" Madras, India, July 1990. (Chaired a session)
41. Special session on Complex function theory of one and several complex variables" at Regional AMS meeting in Fayetteville, Arkansas, May 1990.
42. Special session on Geometric function theory in one and several complex variables" at Annual AMS meeting in Louisville, Kentucky, January 1990.
43. Conference in honor of G. Schober, Indiana University September 1989. (Chaired a session.)
44. NSF-CBMS conference on Scientific Computation on Mathematical conjectures," Butler University, Indiana June 1989. (Chaired a special session on open problems.)
45. International conference on Computational Methods and Functions Theory, Valparaiso, Chile, March 1989.
46. Symposium of Computational Aspects of Complex Analysis," Phoenix, Az January 1989.
47. Mathematisches Forschungainstitut, Computational aspects of complex analysis, Oberwolfach, West Germany, August 1987.
48. 9th Conference on Analytic Functions, Lublin, Poland, June 1 - 6, 1986.
49. Solar Energy Conference, Anaheim, California, April 13 - 16, 1986.
50. Special Year in Complex Analysis, University of Maryland, November 1985.
51. Special Year in Complex Analysis, University of Maryland, September 1985.
52. International symposium on the proof of the Bieberbach Conjecture at Purdue University, March 1985.
53. National Science Foundation Conference Board of the Mathematical Sciences Regional Conference on J-Inner Matrices, Case Western University, Cleveland, Ohio, September 1984.
54. Special session on complex analysis at regional meeting of the American Mathematical Society Meeting at San Diego State University, California, October 1984.
55. Third regional conference on numerical analysis, North Texas State University, September 1984.
56. Mathematisches Forschungainstitut Oberwolfach, (Complex Analysis), West Germany, February 1984.
57. Special session of American Mathematical Society Meeting, Fairfield, Connecticut, October 1983.
58. Regional conference on Numerical Analysis, Texas Tech University, September 1983.
59. Symposium on Numerical Analysis and Computational Complex Analysis, Swiss Federal Institute of Technology, Zurich, Switzerland, August 1983. (Chaired one of the sessions)
60. Conference on Geometric Function Theory, University of Kentucky, May 1983.
61. Eighth Conference on Analytic Functions, Blazejewko, Poland, August 1982. (Unable to attend due to political unrest.)
62. North Atlantic Treaty Organization Advanced Institute on Computational Aspects of Complex Analysis in Braunlage, West Germany, August 1982.
63. North Atlantic Treaty Organization Seminaire de Mathematiques Superieures, Montreal, August 1981.
64. Complex Analysis Conference, University of Michigan, November 1980.
65. Special session of American Mathematical Society Meeting, Univalent Functions: Recent Developments, Ann Arbor, MI, August 1980.
66. Conference on Geometric Function Theory, University of Cincinnati, June 1980.
67. Special session of American Mathematical Society Meeting, Charleston, SC., November 1978.
68. Special session of American Mathematical Society Meeting, San Antonio, January 1976. (Chaired one of the sessions.)
69. Geometric Function Theory Conference in honor of M.S. Robertson's retirement, State University of New York at Brockport, June 1975.
70. Complex Analysis Conference in honor of S. M. Shah's retirement, University of Kentucky, May 1975.
71. Conference on Univalent Function Theory, University of Kentucky, June 1973.
72. Complex Analysis Conference, Kent State University, June 1972.

EDITORSHIP

1. Associate Editor for Computational Methods and Function Theory
2. The Complex Analysis and Special Function Theory Editor for the Rocky Mountain Journal of Mathematics
3. Associate Editor for International Journal of Computational and Applied Math

REFEREE FOR:

1. American Math Monthly
2. Australian Journal of Mathematics and Applied Science
3. Bulletin of the Institute of Math, Academia, Sinica
4. Canadian Journal of Mathematics
5. Colloquium Mathematicam
6. Commentari Mathematica Helvetica
7. Complex Variables, Theory and Application
8. Computational Methods and Function Theory
9. Constructive Approximation
10. Glasnek Mathemalicki
11. Houston Journal of Math
12. Indiana University Mathematics Journal
13. International J. of Math and Mathematical Sciences
14. Journal d'Analyse Mathematique
15. Journal of Approximation Theory
16. Journal of Computational and Applied Mathematics
17. Journal of Math Analysis and Applications
18. Mathematical and Computer Modeling
19. Mathematische Nachrichten
20. Mathematische Annalen
21. National Research Foundation of South Africa
22. National Science Foundation proposals
23. Pacific Journal of Mathematics
24. Pan American Mathematics Journal
25. Proceedings of CMFT '95 conference
26. Proceedings of the American Mathematical Society
27. Research Council of Canada proposals
28. Rocky Mountain Journal of Mathematics
29. SIAM Journal of Mathematical Analysis
30. Transactions American Mathematical Society

     Reviewer for Mathematical Reviews

SEMINAR PARTICIPATION

     Active participant in the following (each of these met from one to three times per week):

1. Analysis and Geometry Seminar, Texas Tech University, 1973-present (except for two years away); organized and directed this seminar 1978-1981.
2. Presented 8 lectures on Harmonic Measure in Analysis and Geometry seminar 2000
3. Differential Geometry and Algebra seminar for 1999-2002
4. Control Theory Seminar, Fall 1996, Spring 1997.
5. Differential Geometry Seminar, 1995, Spring 1996.
6. Geometric Function Theory, WÄ urtzburg, Germany, summer 1993.
7. Also attended regular classes in Numerical Methods in Conformal Mapping, spring 1990.
8. Fracture Mechanics, spring 1990.
9. Sinc Methods in Numerical Analysis, fall 1990.
10. Introduction to computer languages, spring and fall 1990.
11. Quasiconformal mapping seminar. Texas Tech University spring 1989 (organized and directed this seminar.)
12. Complex analysis seminar, Indiana University, spring 1985.
13. Numerical analysis seminar, University of Kentucky, fall 1984 and Texas Tech University fall 1989
14. Geometric function theory seminars, Texas Tech University, fall 1982 and 1985-1986.
15. Several complex variables seminar, Texas Tech University, fall 1982, spring and fall 1988, fall 1989 and spring 1990.
16. Applied mathematics seminars, Texas Tech University, 1982-1983, summer 1985 and 1985-1986, 1988-90, 1990-91.
17. Ordinary di®erential equations seminar, Texas Tech University, fall 1978.
18. Univalent function theory seminar, Texas Tech University, summer 1977.
19. Foundations and logic seminar, Texas Tech University, spring 1977.
20. Several complex variables seminar, University of Kentucky, 1972-1973.
21. Univalent function theory seminar, University of Kentucky, 1971-1973, 1977-1978 and spring 1984.

FURTHER PROFESSIONAL CONTRIBUTIONS

1. Papers reviewed in 12 different categories in Math Reviews.
2. Under the auspices of a German Research Foundation Grant, I conducted a seminar which met three times a week for three and one-half months on "Open Problems and Conjectures in Complex Analysis" at the Universitat Wuerzburg, Germany. The attendees at this seminar included a group of young mathematics professors invited by the German government from Germany, China, Canada, Chile, Malaysia, Norway, Poland, and Columbia as well as several graduate students from these countries.
3. Invited paper in commemorative issue of Complex Variables Theory and Applications in honor of A.W. Goodmon's 80th birthday.
4. Invited paper in a special issue on conformal mapping of the Society of Industrial and Applied Math's Journal of Computational and Applied Mathematics.
5. Invited paper in commemorative issue of Complex Variables Theory and Applications in honor of Malcomb Robertson's 75th birthday.
6. Invited paper in commemorative issue of Annales Universitatis Mariae Curie-Sklodowska in honor of 60th birthday of J. Krzyz, Director of the Math. Institute of Poland.
7. Served as the editor of the open problems section of the proceedings of the North Atlantic Treaty Organization Advanced Institute on Computation Aspects of Complex Analysis in Braunlage, West Germany, August 1982.
8. Organized and directed a conference on Univalent Function Theory at the University of Kentucky, April 1973.

PH.D. STUDENTS

1. Casey Hume (co-chair with G.B. Williams), 2006
2. David Martin (co-chair with G.B. Williams), 2006
3. Eric Murphy (co-chair with G.B. Williams), 2005
4. G. Lenny Ornas (co-chair with K. Pearce), 2003
5. Clint Richardson (co-chair with K. Pearce), 2002
6. Leah Butler Cole (co-chair with K. Pearce), 2002
7. William Wheeler (co-chair with K. Pearce), 1998
8. Jonathan Todd Lee (co-chair with K. Peace), 1994
9. Kendall Richards, 1991
10. Rosihan Mohammed-Ali, 1985
11. John Plaster, 1980

MASTERS STUDENTS

1. Alexander Williams (co-chair with K. Pearce), 2006
2. Atul Dixit (co-chair with A.Y. Solynin), 2006
3. Jeffrey Robinson (co-chair with K. Pearce), 2001
4. Richard Campos (co-chair with K. Pearce), 2000
5. Clint Richardson, 1999
6. Leah Butler Cole, 1999
7. Carolyn Campbell (co-chair with K. Pearce), 1996
8. William Wheeler, 1995
9. Joyce Johnson (co-chair with R. Anderson), 1986

ADDITIONAL CONTRIBUTIONS

1. Gave a short course on "Applications of symmetrization and polarization to problems in Geometric Function Theory" consisting of seven 1½ hour lectures at University of South Florida, November-December 2007.
2. Gave a course on "Special Functions of Mathematical Physics" at University of Würzburg, Germany, Summer 2006, as Giovanni-Prodi Chair.
3. Hosted Alex Solynin from the Steklov Institute St. Petersberg Russia for Fall 2000 and Fall 2001 and Spring 2002.
4. Served as "External Assesor" to evaluate the mathematics program of Penang University, Malaysia with an on site visit 10 days in April 1996.
5. Invited and hosted Distinguished ESA Visiting Professors; G. Schober from Indiana Univ., Ruscheweyh from Univ. WÄ urtzburg, Germany, P. Henrici from ETH, Zurich Switzerland, R. Varga from Kent State Univ. and P. Duren from Univ. of Michigan.
6. On the Mathematical Association of America Visiting Lecturer's Panel.
7. On panel of Visiting Lecturers for Rocky Mountain Consortium.
8. Invited to participate in faculty exchange program with Mid-Eastern Turkey Tech University in Ankara, Turkey for six weeks in summer 1990 with full support and travel allowance. (Unable to participate due to graduate commitments here).