No Title

CURRICULUM VITAE

Steven G. Krantz

Date of Birth: February 3, 1951

Home Address: 12 Princeton Place, University City, Missouri 63130


Telephone: (314) 935-6712   (office)
		 (314) 935-6839  		 (office FAX)
		 (314) 862-1431 		 (home)
		 (314) 862-1431 		 (home FAX)


Graduate Education:  Ph.D. , Mathematics, Princeton University, 1974
		 Thesis directed by E. M. Stein


Undergraduate Education:  B.A. , University of California, Santa Cruz,
		 1971


Honors : Participant, NSF Summer Mathematics Research Program, 1968
		 Highest University Honors and College Honors, 1971
		 Crown-Zellerbach Foundation Graduate Fellow, 1971
		 National Science Foundation Graduate Fellow, 1971-1974
		 Woodrow Wilson Foundation Designate, 1971
		 Visiting Professor, Universite de Paris-Sud, 1977
		 UCLA Alumni Foundation Distinguished Teaching Award, 1979
		 Visiting Professor, Princeton University, 1980
		 Visiting Fellow, Institute for Advanced Study, 1981
		 Visiting Professor, Uppsala University, 1984
		 Visiting Professor, Beijing University, 1984
		 Visiting Professor, University of Umeå, 1986
		 Visiting Professor, University Autonoma de Madrid, 1986
		 Visiting Professor, Mittag-Leffler Institute, 1988
		 Visiting Professor, Universite Paul Sabatier, 1988
		 Principal Speaker, Complex Analysis Conference, Cetraro, 1989


         
		 Head of Organizing Committee, AMS Summer Institute,
		 Santa Cruz, 1989
		 Chauvenet Prize of the MAA, 1992
		 Principal Speaker, CBMS Conference, George Mason
		 University, 1992
		 Principal Speaker, Southeastern Functional Analysis
		 Meeting, 1993
		 Visiting Professor, Politecnico Torino, 1993
		 Principal Speaker, AMS Summer Research Institute on
		 Operator Theory, 1993
		 Beckenbach Prize of the MAA, 1994
		 Kemper Foundation Education Grant, 1994
		 Principal Speaker, NATO Conference on Several
		 Complex Variables, Edinburgh, 1995
		 Richardson Fellow, Australian National University, 1995
		 Visiting Professor and Organizer of Special Year,
		 Mathematical Sciences Research Institute, 1995-1996
		 Organizer, Conference on Current Issues in Modern
		 Issues of Mathematics Teaching, MSRI, 1996
		 Organizer and Principal Lecturer, Conference on Several
		 Complex Variables, Pohang Institute of Science
		 and Technology, Korea, 1997
		 Frontiers Speaker, Texas A&M, 1997
		 Organizer and Principal Lecturer, Conference in Honor of
		 Lars V. Ahlfors, Stanford University, 1997
		 ``Outstanding Academic Book Award'', Current Review for
		 Academic Libraries, 1998.
		 Nagle Memorial Lecturer, University of South Florida, 1998
		 Organizer and Principal Lecturer, Conference on Several
		 Complex Variables, Seoul National University, 1998
		 Organizer, Holomorphic Mappings Conference and Workshop,
		 American Institute of Mathematics

Academic Positions Held: Assistant Professor, UCLA, 1974-1981 Associate Professor, Pennsylvania State University, 1981-4 Professor, Pennsylvania State University, 1984-7 Professor, Washington University, 1986 - present.

BIBLIOGRAPHY
Steven G. Krantz

Published, Accepted, or Completed Papers

1. Optimal Lipschitz and L^p regularity for the equation on strongly pseudo-convex domains, Math. Annalen 219(1976), 233-260.

2. Structure and interpolation theorems for certain Lipschitz spaces and estimates for the equation, Duke Math. J. 43(1976), 417-439.

3. Optimal Lipschitz and L^p estimates for the equation on strongly pseudo-convex domains, Bull. Amer. Math. Soc. 82(1976), 51-52.

4. Intrinsic Lipschitz classes on manifolds with applications to complex function theory and estimates for the and equations, Manuscripta Math. 24(1978), 351-378.

5. Smoothness of harmonic and holomorphic functions, Proc. Symp. Pure Math., Vol. 35 (1979) (S. Wainger and G. Weiss, eds.), 63-67.

6. Characterizations of various domains of holomorphy via estimates and applications to a problem of Kohn, Illinois J. Math. 23(1979), 267-285.

7. (with Nicholas P. Jewell) Toeplitz operators and related function algebras on certain pseudo-convex domains, Trans. Amer. Math. Soc. 252(1979), 297-312.

8. Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups, J. Funct. Anal. 34(1980), 456-471.

9. Lipschitz spaces on stratified groups, Trans. Am. Math. Soc. 269(1982), 39-66.

10. Finite type conditions and elliptic boundary value problems, Jour. Diff. Eq. 34(1979), 239-260.

11. (with John Erik Fornæss) Continuously varying peaking functions, Pac. Jour. Math. 83(1979), 341-347.

12. Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables, Math. Annalen 244(1979), 243-262.

13. Estimates for integral kernels of mixed type, fractional integration operators, and optimal estimates for the operator, Manuscripta Math. 30(1979), 21-52.

14. (with R. E. Greene) Stability properties of the Bergman kernel and curvature properties of bounded domains, Recent Developments in Several Complex Variables (J. E. Fornæss, ed.), Princeton University Press (1979), 179-198.

15. Boundary values and estimates for holomorphic functions of several complex variables, Duke Math. Jour. 47(1980), 81-98.

16. Fractional integration on Hardy spaces, Studia Math. 73(1982), 87-94.

17. Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection, Duke Math. Jour. 47(1980), 743-761.

18. is equidistributed with Commentari Math. Helvetici 56(1981), 136-141.

19. (with Harold R. Parks) Distance to C^k manifolds, Jour. Diff. Equations 40(1981), 116-120.

20. (with R. E. Greene) Deformations of complex structure, estimates for the equation, and stability of the Bergman kernel, Advances in Math. 43(1982), 1-86.

21. (with R. E. Greene) The automorphism groups of strongly pseudoconvex domains, Math. Annalen 261(1982), 425-446.

22. (with R. E. Greene) The stability of the Bergman kernel and the geometry of the Bergman metric, Bull. Am. Math. Soc. 4(1981), 111-115.

23. (with Joseph A. Cima) The Lindelöf principle and normal functions of several complex variables, Duke Math. Jour. 50(1983), 303-328.

24. (with R. E. Greene) Stability of the Carathéodory and Kobayashi metrics and applications to biholomorphic mappings, Proceedings of Symposia in Pure Mathematics, Vol. 41 (1984), 77-93.

25. Characterizations of smooth domains in by their biholomorphic self maps, Am. Math. Monthly 90(1983), 555-557.

26. (with R. E. Greene) Normal families and the semicontinuity of isometry and automorphism groups, Math. Zeitschrift 190(1985), 455-467.

27. Lipschitz spaces, smoothness of functions, and approximation theory, Expositiones Math. 3(1983), 193-260.

28. (with R. E. Greene) Characterizations of certain weakly pseudo-convex domains with non-compact automorphism groups, in Complex Analysis Seminar , Springer Lecture Notes 1268(1987), 121-157.

29. (with J. A. Cima and T. Suffridge) A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications, Math. Z. 186(1984), 1-8.

30. (with J. Duncan and H. R. Parks) Non-linear conditions for differentiability of functions, Jour. d'Analyse Mathematique 45(1985), 46-68.

31. (with R. E. Greene) Characterization of complex manifolds by the isotropy subgroups of their automorphism groups, Indiana Univ. Math. J. 34(1985), 865-879.

32. (with S. R. Bell) Smoothness to the boundary of conformal mappings, Rocky Mountain J. Math. 17(1987), 23-40.

33. (with T. D. Parsons) Antisocial subcoverings of self-centered covers, Am. Math. Monthly 93(1986), 45-48.

34. (with P. Erdös, C. Godsil, and T. D. Parsons) Intersection graphs for families of balls in Eur. J. Combin. 9(1988), 501-505.

35. (with Marco Abate) The Julia theorem and Julia-Carathéodory theorem on domains of general type in in preparation.

36. Integral formulas in complex analysis, a chapter in The Beijing Lectures in Harmonic Analysis, Annals of Mathematics Studies, Princeton University Press, Princeton, v. 112(1986), 185-240.

37. Functions of Several Complex Variables and Analytic Spaces, The Encyclopedia of Physical Science and Technology, Academic Press, v. 5(1986), 698-722.

38. Functions of One Complex Variable, The Encyclopedia of Physical Science and Technology, Academic Press, v. 5(1986), 662-697. 39. What is several complex variables?, Am. Math. Monthly 94(1987), 236-256.
40. Fatou theorems on domains in Bull. Am. Math. Soc., 16(1987), 93-96.

41. Recent progress and future directions in several complex variables, in Complex Analysis Seminar, Springer Verlag Lecture Notes 1268(1987), 1-23.

42. (with Robert E. Greene) Biholomorphic self-maps of domains, Complex Analysis II (C. Berenstein, ed.), Springer Lecture Notes, vol. 1276, 1987, 136-207.

43. (with Gordon Chen, Daowei Ma, C. Eugene Wayne, and H. H. West), The Euler-Bernoulli beam equation with boundary energy dissipation, in Operator Methods for Optimal Control Problems (Sung J. Lee, ed.), Marcel Dekker, New York, 1988, 67-96.

44. Invariant metrics and the boundary behavior of holomorphic functions on domains in Jour. Geometric. Anal. 1(1991), 71-98.

45. (with Daowei Ma) Bloch functions on strongly pseudoconvex domains, Indiana Univ. Math. J. 37(1988), 145-163.

46. (with Daowei Ma) On isometric isomorphisms of the Bloch space in several complex variables, Michigan Math. J. 36(1989), 173-180.

47. A compactness principle in complex analysis, Division de Matematicas, Univ. Autonoma de Madrid Seminarios, vol. 3, 1987, 171-194.

48. Lectures on Hardy spaces in complex domains, University of Umeå Lecture Notes, 1987, 1-63.

49. (with G. Chen, C. E. Wayne, and H. H. West), Analysis, designs, and behavior of dissipative joints for coupled beams, SIAM Jr. Appl. Math., 49(1989), 1665-1693.

50. Compactness of the Neumann Operator, Proc. Am. Math. Soc. 103(1988), 1136-1138.

51. On a theorem of Stein I, Trans. AMS 320(1990), 625-642.

52. (with G. Chen, D. Russell, C. E. Wayne, H. West, J. Zhou), Modelling, analysis and testing of dissipative beam joints--experiments and data smoothing, Math. Comp. Modelling (E. Rodin, ed.) 11(1988), 1011-1016.

53. Mathematical Anecdotes, Mathematical Intelligencer, 12 (1990), 32-38.

54. (with Der Chen Chang), Holomorphic Lipschitz functions and applications to estimates for the problem, Colloq. Math. 63 (1991).

55. (with William Paulsen), Eigenvalue asymptotics for the N- beam Euler-Bernoulli coupled beam equation with dissipative joints, Jour. Symb. Computation 11(1991), 369-418.

56. On the boundary behavior of the Kobayashi metric, Rocky Mountain J. Math., 22(1992).

57. (with R. E. Greene), Techniques for Studying the Automorphism Groups of Weakly Pseudoconvex Domains, Proceedings of the Special Year at the Mittag-Leffler Institute (J. E. Fornæss and C. O. Kiselman, eds.) Annals of Math. Studies, Princeton Univ. Press, Princeton, 1992.

58. (with Harold R. Parks), On the vector sum of two convex sets, Can. Jour. Math., 1991.

59. (with G. Aladro), A criterion for normality in J. Math. Anal. Applic., 1991.

60. (with Robert E. Greene), Invariants of Bergman geometry and results concerning the automorphism groups of domains in Proceedings of the 1989 Conference in Cetraro (D. Struppa, ed.), 1991.

61. Convexity in complex analysis, Proceedings of Symposia in Pure Mathematics v. 52, part 1, (E. Bedford, J. D'Angelo, R. Greene, and S. Krantz eds.), American Mathematical Society, Providence, 1991, 119-137.

62. (with Der Chen Chang) H^p regularity for NIS operators on weakly pseudoconvex domains of finite type in Proceedings of Symposia in Pure Mathematics v. 52, part 3, (E. Bedford, J. D'Angelo, R. Greene, and S. Krantz eds.), American Mathematical Society, Providence, 1991, 35-53.

63. On the area inside a circle, Missouri Journal of Mathematics, 1992.

64. (with Norberto Salinas) Proper holomorphic mappings and the Cowen-Douglas class, Proc. Am. Math. Soc., 1992.

65. (with Der Chen Chang and E. M. Stein) Hardy Spaces and Elliptic Boundary Value Problems, Proceedings of a Conference in Honor of Walter Rudin, American Mathematical Society, 1992.

66. (with Akio Kodama and Daowei Ma) A characterization of generalized complex ellipsoids in and related results, Indiana Jour. Math., 1992.

67. (with Brian Blank, Fan Dashan, David Klein, Daowei Ma, and Myung Yull Pang), The Kobayashi metric on a complex ellipsoid in Experimental Math. 1(1992), 47-56.

68. (with Der Chen Chang and E. M. Stein), H^p theory on a smooth domain in and applications to partial differential equations, Jour. Funct. Anal. 114(1993), 286-347.

69. (with X. Huang), A unique continuation problem for holomorphic mappings, Comm. P.D.E. 18(1993), 241-263.

70. (with Song-Ying Li) A Note on Hardy Spaces and Functions of Bounded Mean Oscillation on Domains in , Michigan Jour. Math. 41 (1994), 51-72.
71. Survey of some recent ideas concerning automorphism groups of domains, Proceedings of a Conference in Honor of Pierre Dolbeault, Géométrie complexe (Paris, 1992), 79-90, Actualités Sci. Indust. 1438, Hermann, Paris, 1996.

72. (with Song-Ying Li), Some remarks on the Corona problem on strongly pseudoconvex domains in , Illinois Journal of Math. 39(1995), 323-349.

73. (with Daowei Ma and Chen Zhenhua), Optimal L^p estimates for the -equation complex on ellipsoids, Manuscripta Math., 1993.

74. (with Dan Burns), Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary, Jour. of the A.M.S. 7(1994), 661-676.

75. Fundamentals of Harmonic Analysis on Domains in Complex Space, Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, 1994.
76. (with Song-Ying Li), Explicit solutions for the corona problem with Lipschitz data in the polydisc, Pacific Jour. Math. 174(1996), 443-458.

77. (with Xiaojun Huang), On a problem of Moser, Duke J. Math., Duke Jour. Math. 78(1995), 213-228.

78. (with X. Huang, D. Ma, and Y. Pan), A Hopf lemma for holomorphic functions and applications, Complex Variables 26(1995), 273-276.

79. (with Song-Ying Li), On decomposition theorems for Hardy spaces on domains in and applications, Jour. Four. Anal. and Applics. 2(1995), 65-107.

80. (with Song-Ying Li), Duality theorems for Hardy and Bergman spaces on convex domains of finite type in , Ann. Inst. Fourier Grenoble 45(1995), 1305-1327.

81. (with Jiye Yu), On the Bergman invariant and curvatures of the Bergman metric, Illinois Jour. Math. 40(1996), 226-244.

82. (with Song-Ying Li and R. Rochberg), The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces, Integral Eq. and Op. Thy. 28(1997), 196-213.
83. (with Song-Ying Li), Hardy classes, integral operators, and duality on spaces of homogeneous type, submitted.

84. (with Song-Ying Li), Area integral characterizations of functions in Hardy spaces on domains in , Complex Variables 32(1997), 373-399.

85. (with Song-Ying Li), A proof of the Fefferman mapping theorem using the Complex Monge-Ampère equation, preprint.

86. (with Luigi Fontana and Marco Peloso), Hodge theory in the Sobolev topology for the de Rham complex, Memoirs of the AMS, 131(1998), viii + 100.

87. Geometric Foundations for Analysis on Complex Domains, Proceedings of the 1994 Conference in Cetraro (D. Struppa, ed.), 1995.

88. (with Song-Ying Li and Richard Rochberg), Analysis of Some Function Spaces Associated to Hankel Operators Ill. J. Math. 41(1997), 398-411.

89. (with Song-Ying Li and Richard Rochberg), The effect of boundary regularity on the singular numbers of Friedrichs operators on Bergman spaces, Michigan Math. Jour. 43(1996), 337-348.

90. (with Song-Ying Li), Elliptic boundary value problems for the inhomogeneous Laplace equation on bounded domains, submitted.

91. (with Song-Ying Li), Factorization of functions in subspaces of L¹ and applications to the corona problem, Indiana Jour. 45(1996), 83-102.

92. (with M. M. Peloso and L. Fontana), The -Neumann problem in the Sobolev topology, Indiana Journal of Math. 48(1999), 275-293.

93. (with S. Fu and A. Isaev), Finite type conditions on Reinhardt domains, Complex Variables 31(1996), 609-617.

94. (with S. Fu and A. Isaev), Reinhardt domains with non-compact automorphism groups, Math. Research Letters 3(1996), 109-122.

95. (with S. Fu and A. Isaev), Examples of domains with non-compact automorphism groups, Math. Research Letters 3(1996), 609-617.

96. (with A. Isaev), On the boundary orbit accumulation set for a domain with non-compact automorphism group, Mich. Math. Jour. 43(1996), 611-617.

97. (with A. Isaev), Finitely smooth Reinhardt domains with non-compact automorphism group, Illinois Math. Jour. 41(1997), 412-420.

98. (with A. Isaev), Hyperbolic Reinhardt domains in with non-compact authomorphism group, Pacific Jour. Math. 184(1998), 149-160.

99. (with Luigi Fontana and Marco Peloso), Hodge theory in the Sobolev topology, Electronic Research Announcements of the American Mathematical Society 1(1995), 103-107.

100. (with A. Isaev), Domains with non-compact automorphism group: A Survey, Advances in Math. 146(1999), 1-38.

101. (with K. T. Kim), A crash course in the function theory of several complex variables, Proceedings of the Conference on Several Complex Variables held in Pohang, Korea, 1997, Contemporary Math. 222, American Mathematical Society, 1999.

102. (with J. Gifford and A. V. Isaev), On the Dimensions of the Automorphism Groups of Hyperbolic Reinhardt Domains, Illinois Jour. Math., to appear.

103. (with M. Peloso), Sobolev Spaces and Projections of Holomorphic Functions and Mappings, Proceedings of a Conference on Function Spaces, S. Illinois University at Edwardsville, Contemporary Math. 232, American Mathematical Society, Providence, 1999, 219-231.

104. (with Luigi Fontana and Marco M. Peloso), Estimates for the -Neumann problem in the Sobolev topology on

105. (with W. Cheung, S. Fu, and B. Wong), A smooothly bounded domain in a complex surface with a compact quotient, submitted.

106. (with A. V. Isaev), Characterizations of Reinhardt domains by their automorphism groups, Proceedings of an International Conference on Complex Variables held in Seoul, Korea, Journal of the Korean Math. Society, 2000, to appear.

107. (with K. T. Kim), Complex scaling and domains with non-compact automorphism group, submitted.

108. Fatou theorems old and new: an overview of the boundary behavior of holomorphic functions, Proceedings of a Conference on Several Complex Variables, Seoul National University, 2000.

109. (with A. V. Isaev), On the automorphism groups of hyperbolic domains, submitted.

110. (with A. V. Isaev), Invariant distances and metrics in complex analysis, Notices of the American Math. Society 47(2000), 546-553.

Other Writings

1. Review of Integral Representations of Functions and Imbedding Theorems Vols. I and II, by Oleg V. Besov, Valentin P. Il'in, and Sergei M. Nikol'skii, (Vol. I: vii + 311), (Vol. II; viii + 345), Bull. Am. Math. Soc. (new series) (1980), 216-222.

2. Review of Function Theory in the Unit Ball of , by Walter Rudin, Grundlehren der mathematischen Wissenschaften 241, Springer-Verlag, Berlin and New York, 1980, Bull. Am. Math. Soc. (new series) 5(1981), 331-339.

3. Review of The Science of Fractal Images by Peitgen and Saupe and The Art of Fractal Geometry by Peitgen and Richter, Mathematical Intelligencer 11 (1989), 12-16.

4. The Immortality of Proof, Notices of the American Mathematical Society 41(1994), 10-13.

5. From the Editor, Notices of the American Mathematical Society, 42(1995), 218.

6. Math for Sale (editorial), Notices of the American Mathematical Society, 42(1995), 1116.

7. The Way Things Ought to Be (editorial), Notices of the American Mathematical Society, 43(1996), 532.

8. See, I Told You So (editorial), Notices of the American Mathematical Society, 44(1997), 4.

9. Mathematics Journals Should be Electronic and Free (editorial), Notices of the American Mathematical Society, 44(1997), 892.

10. Review of Introduction to Holomorphic Functions of Several Variables, by Robert C. Gunning, Bull. Am. Math. Soc. (new series) 25(1991), 205-215.

11. Review of Nonlinear Dynamics and Chaos, with Applications in Physics, Biology, Chemistry, and Engineering by S. Strogatz, UMAP Journal, to appear, 1999.

12. Review of Complex Variables and Applications, Ed., by J. W. Brown and R. V. Churchill and Complex Variables with Applications, Ed., by D. Wunsch, UMAP Journal, to appear.

13. Review of Indiscrete Thoughts by Gian-Carlo Rota, Notices of the American Math. Society 44(1997), 815-818.

14. Review of Introduction to Calculus and Classical Analysis by Omar Hijab and Introduction to Mathematical Structures and Proofs by Larry J. Gerstein, Notices of the American Math. Society, to appear.

15. Review of Applied Mathematics by J. David Logan, UMAP Journal, to appear.

16. Krantz (ed.), and a group of contributors, Lars Valerian Ahlfors, In Memorial, Notices of the American Mathematical Society 45(1998, 248-255.

17. Krantz (ed.), and a group of contributors, The Mathematics of Lars Valerian Ahlfors, Notices of the American Mathematical Society 45(1998), 233-242.

18. Review of The World According to Wavelets, ed., by Barbara Burke Hubbard, UMAP Journal, to appear.

19. See No Evil, Hear No Evil, Speak No Evil, (editorial), Notices of the American Mathematical Society 45(1998), to appear.

20. contributed several sections in C. Bennett and A. Crannell, eds., Starting our Careers, American Mathematical Society, Providence, 1999.

21. Review of Challenges by Serge Lang, Mathematical Intelligencer, 1999.

22. You Don't Need a Weatherman to Know which Way the Wind Blows, American Mathematical Monthly, to appear.

23. Conformal Mappings, American Scientist, September, 1999.

24. Ask and You Shall Receive, Notices of the American Mathematical Society 46(1999), 629.

25. Imminent Danger--From a Distance, Notices of the American Mathematical Society 47(2000), 533.

26. Shareware or Vaporware, Notices of the American Mathematical Society 47(2000).

27. Review of The Man Who Loved Only Numbers and My Brain is Open, The College Mathematics Journal, to appear.

28. Review of Zero: The Biography of a Dangerous Idea, SIAM News 33(2000), 10-12.

Books

1. (with Bonic, Cranford, et al), Freshman Calculus, D. C. Heath, Lexington, 1971.

2. (with Bonic and Cranford), Exercises and Sample Exams for Freshman Calculus, D. C. Heath, Lexington, 1971.

3. Function Theory of Several Complex Variables, John Wiley and Sons, New York, 1982.

4. S. Krantz, ed., Complex Analysis Seminar, Springer Verlag Lecture Notes, vol. 1268, 1987.

5. Complex Analysis: The Geometric Viewpoint, Carus Monograph no. 23, Mathematical Association of America, Providence, 1990.

6. Real Analysis and Foundations, CRC Press, Boca Raton, 1991.

7. E. Bedford, J. D'Angelo, R. E. Greene, and S. G. Krantz eds., Several Complex Variables and Complex Geometry, 3 volumes, Proceedings of Symposia in Pure Mathematics, American Math. Society, Providence, 1991.

8. Partial Differential Equations and Complex Analysis, CRC Press, Boca Raton, 1992.

9. (with R. E. Greene) Function Theory of One Complex Variable, John Wiley and Sons, 1997.

10. Function Theory of Several Complex Variables, 2nd Ed., Wadsworth Publishing, Belmont, 1992.

11. (with H. R. Parks), A Primer of Real Analytic Functions, Birkhauser, Basel, 1992.

12. Geometric Analysis and Function Spaces, CBMS and the American Mathematical Society, Providence, 1993.

13. How to Teach Mathematics, American Mathematical Society, Providence, 1993.

14. (with Brian Blank), Calculus and Analytic Geometry, Springer-Verlag, to appear.

15. (with Stanley Sawyer) A TEX Primer for Scientists, CRC Press, 1994.

16. The Elements of Advanced Mathematics, CRC Press, 1995.

17. (with K. Rosen and D. Zwillinger, eds.) The Standard Book of Tables and Formulas, CRC Press, Boca Raton, 1995.

18. (with S. Gibilisco, et al), A Dictionary of Mathematics, CRC Press, to appear.

19. (with Harold R. Parks), The Geometry of Domains in Space, Birkhäuser, Boston, 1999. in progress.

20. Techniques of Problem Solving, American Mathematical Society, 1996.

21. A Primer of Mathematical Writing, American Math. Society, 1996.

22. (with E. Gavosto, W. McCallum), Contemporary Issues in Mathematics Education, Cambridge University Press, 1999.

23. A Panorama of Harmonic Analysis, A Carus Monograph, Mathematical Association of America, Washington, D.C., 1999.

24. How to Teach Mathematics, ed., American Mathematical Society, Providence, 1999.

25. (with K. T. Kim, ed.), Complex Geometric Analysis in Pohang, Contemporary Math. 222, American Math. Society, Providence, 1999.

26. A Handbook of Complex Variables, Birkhäuser, Boston, 1999.

27. chapter in Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, National Institute of Science and Technology, to appear.

28. Handbook of Typography for the Mathematical Scientist, CRC Press, Boca Raton, 2000.

29. (with H. Parks) The Implicit Function Theorem, in progress.

30. (with R. E. Greene and A. Isaev), The Automorphism Groups of Domains, Birkhäuser, Boston, in progress.

31. Handbook of Mathematical Logic and Proof Techniques, Birkhäuser, Boston, in progress.

GRADUATE STUDENTS DIRECTED

Jeffrey Hanock, M.A., 1978

Frank Kozakowski, M.A., 1978

Gary Massion, M.A., 1978

Curtis La Mack, M.S., 1983

Thomas Szekely, M.S., 1983

Kyle Hunter, M.S., 1984

Cynthia Wilson, M.S., 1985

Gerardo Aladro, Ph.D., 1985

Paul MacMillan, M.S., 1986

Amy Rush, M.S., 1986

Daowei Ma, PhD., 1990

Chen Zhenhua, PhD., 1990

Estela Gavosto, PhD., 1990

Marco Peloso, PhD., 1990

Jiye Yu, PhD., 1993

Xiaojun Huang, PhD., 1994

Siqi Fu, PhD., 1994

Fausto di Biase, PhD., 1995

Tristan Nguyen, PhD., 1997.

Bao Luong, PhD., 1997.

Judy Kenney, PhD., 1997.

Chris Mahan, PhD. expected, 1999.

Dylan Retsek, PhD. expected, 2001.

Toby Gifford, PhD. expected, 2001.

Lynn Apfel, PhD. expected, 2002.

INVITED LECTURES GIVEN


1975 Claremont Graduate School
		 American Mathematical Society Summer Institute on
		 Several Complex Variables
		 University of California at Santa Cruz   


1976 		 University of California at Berkeley
		 California Institute of Technology        


1977 		  Universite de Paris-Sud Several Complex Variables Seminar
		  Universiteë de Paris-Sud Harmonic Analysis Seminar    


1978 		 American Mathematical Society Summer Institute on
		 Harmonic Analysis  


1979 		 Princeton Conference on Several Complex Variables
		 Claremont Graduate School
		 Principal Speaker, regional MAA Conference, U. C. Riverside
		 California State Polytechnic University, San Luis Obispo
		 South California Functional Analysis Seminar 


1980 		  Claremont Colleges
		  University of California at Berkeley
		  Michigan State University
		  University of South Carolina
		  University of North Carolina
		  University of Tennessee
		  University of New Mexico
		  University of Chicago
		  DePaul University
		  University of Kentucky
		  Washington University
		  Princeton University
		  Institute for Advanced Study
		  University of Arkansas
		  University of California at Davis
		  Matematisches Forschungsinstitut Oberwolfach   


1981 		  University of North Carolina
		  American Mathematical Society meeting in Pittsburgh
		  Princeton University 


1982 		  American Mathematical Society meeting in Bryn Mawr
		  American Mathematical Society meeting in Madison
		  University of Toronto        


1983 		  Rutgers University
		  King's College
		  Matematisches Forschunsingstitut Oberwolfach 


1984 		  University of Uppsala
		  Mittag-Leffler Institute
		  Swedish Mathematics Society
		  University of Oslo
		  Bryn Mawr College
		  Peking University
		  Stanford University
		  University of California at Berkeley
		  Johns Hopkins University
		  University of Maryland
		  Washington University  


1985 		  University of Pittsburgh
		  Tulane University
		  Lehigh University
		  Princeton University
		  University of North Carolina
		  University of Georgia
		  Lehigh University
		  University of Chicago 


1986 		  Florida International University
		  University of South Carolina
		  University of Maryland (principal speaker, complex
		 analysis year)
		  University of Umeå
		  University of Trondheim
		  Swedish Mathematical Society
		  University Autonoma de Madrid
		  Purdue University  


1987 		  University of California at Berkeley
		  Stanford University
		  University of California at Santa Cruz
		  University of Illinois at Urbana
		  Princeton University
		  Matematisches Forschungsinstitut Oberwolfach
		  Texas A& M University
		  Rice University
		  Indiana University
		  International Conference on Mathematical Modeling
		  Stanford University  


1988 		  University of North Carolina
		  University of Arkansas
		  University of Kansas
		  University of Massachusetts at Amherst
		  Mittag-Leffler Institute
		  Swedish Mathematical Society
		  University of Umeå
		  Universite Paul Sabatier
		  Universite de Bordeaux   


1989 		  University of Wisconsin, Eau Claire
		  Purdue University
		  Univ. of Notre Dame
		  Int'l Complex Analysis Conference, Cetraro, Italy
		  Kansas State University
		  Wichita State University 


1990 		  Temple University
		  University of Toronto
		  Oregon State University
		  University of Washington
		  Indiana University
		  Southern Illinois University
		  Mathematisches Forschungsinstitut Oberwolfach
		  National Academy of Sciences ``Frontiers of Science'' Forum 


1991 		  University of Maryland
		  Brown University
		  Yale University
		  University of Michigan
		  Cornell University 


1992 		  University of North Florida
		  University of California at San Diego
		  St. Louis University
		  George Mason University (10 lectures)
		  Universite de Paris VI
		  University of Michigan
		  Oklahoma State University
		  Indiana University
		  University of Massachusetts            


1993 		  Southeastern Functional Analysis Conference
		  Politecnico Torino
		  University of Florence
		  University of Rome
		  Summer Research Institute on Operator Theory, Seattle
		  University of Arkansas
		  Oregon State University
		  Wichita State University   


1994 		  Clemson University
		  University of Cincinnati
		  Northwestern University
		  Univ. of Illinois, Chicago
		  Geometry Conference, Cetraro, Italy
		  Univ. of Missouri, Rolla
		  Univ. of Chicago
		  Univ. of Maryland           


1995 		  AMS Special Session, San Francisco
		  University of Edinburgh
		  Meramec College
		  Australian National University
		  MacQuarie University
		  University of Adelaide
		  University of Sydney
		  AMS Special Session, Burlington
		  University of Washington, Seattle
		  University of California at Berkeley  


1996 		  Mathematical  Sciences Research Institute
		  University of California at Berkeley (colloquium)
		  University of California at Berkeley (seminar)
		  Oregon State University
		  Virginia Polytechnic Institute (``Students' Choice Lecturer'')
		  Rose-Hulman Institute of Technology
		  University of Tennessee (Distinguished Speaker Series) 


1997 		  Special Session on Complex Analysis, AMS Nat'l.                    Meeting in Seattle
		  Special Session on Geometry, AMS Nat'l. Meeting                   in Seattle
		  University of Central Arkansas
		  Ohio State University
		  University of Missouri, Columbia
		  Pohang Institute of Technology, Korea
		  Conference in Memory of Lars V. Ahlfors, Stanford
		  Boston College
		  Texas A&M
		  Stanford University  


1998 		  University of S. Florida
		  Indiana University
		  Butler University
		  Principal Speaker, Conference on Function Spaces
		  SIUE Edwardsville
		  University of North Carolina
		  Principal speaker, Hayama (JAPAN) Conference on                    Complex Geometry
		  Principal speaker and organizer, Korean Several
		 Complex Variables Conference, Seoul

1999 		  University of Maryland
		  UCLA
		  University of Wyoming
		  Special Session, AMS, Salt Lake City 

2000 		 Special Session, AMS, Washington, D.C.
		 Department of Mathematics, Michigan State University
		 Computational Biology Group, Michigan State University
		 Carleton College
		 University of Sardinia, Italy
		 University of Florence, Italy
		 University of Rome II, Italy
		 Conference at Lake Como, Italy

GRANTS AND OUTSIDE SUPPORT


1975 - present:    National Science Foundation Summer Research Grant 

1983: 		 Research Initiation Grant at Pennsylvania State University

1987: 		 Mathematical Research Equipment Grant from the National
		 Science Foundation 

1988: 		 Biological Research Grant from Washington University

1988: 		 Graduate Education Grant in Areas of National Need from
		 the Department of Education

1989: 		 Special Projects Grant from the National Science Foundation
		 for the 1989 American Mathematical Society Summer
		 Research Institute

1989-96: 		 Undergraduate Research Experience Grant from the National
		 Science Foundation 

1992-93: 		 Fund for the Improvement of Post-Secondary Education Grant
		 for developing the book How to Teach Mathematics

1993-4: 		 Kemper Foundation Grant for Developing a Course on Problem
		 Solving at Washington University and an accompanying text

1996-8: 		 Group Infrastructure Grant, National Science Foundation 

1996-1998: 		 Group Research Grant in Analysis

1999: 		  SEGR Grant, National Science Foundation 

2000: 		  SEGR Grant, National Science Foundation

2000: 		  Grant to run Holomorphic Mappings Conference,
		 National Science Foundation 

2000: 		  National Need Grant, Department of Education

OTHER ACTIVITIES

Reviewer for Mathematical Reviews

Reviewer for Zentralblatt für Mathematik

Referee for the National Science Foundation

Referee for
Annals of Mathematics,
Proceedings of the American Mathematical Society,
Duke Journal of Mathematics,
Pacific Journal of Mathematics,
Annali Scuola Norm. Sup. Pisa,
Indiana Journal of Mathematics,
and other journals

Panel member, NSF Centers of Science and Technology Program, 1989

Panel member, NSF Instrumentation and Laboratory Improvement Grant Program, 1992

Panel member, NSF Calculus and First Two Years Teaching Grant Program, 1993

Panel member, NSF Curriculum Development Program, 1994

Associate Editor, the NEW Notices of the AMS, 1995-

Associate Editor Committee, American Mathematical Monthly, 1996-

Editor, Complex Variables, 1994-present

Member at Large of Council of the American Mathematical Society, 1993-1995

Member of the Executive Committee of the American Mathematical Society, 1995-1999

Appointed Executive Committee representative to the AMS Council, 1996-1999

Member, AMS Committee on Publications, 1995-1998.

Chairman of the AMS Committee on Publications, 1995-1996

Chairman of the AMS President's Taskforce on Electronic Journals, 1995

Chairman of the AMS Long Range Planning Committee, 1997-2000

Chief Editor of the Carus Monograph Series for the MAA, 1997-2000

Member of outside review committee, Univ. of Oregon

Editorial Consultant for Harper & Row, Wadsworth, Saunders,
John Wiley and Sons, Addison-Wesley, Benjamin Cummings,
Springer Verlag

Founder and Consulting Editor, CRC Press Studies in Advanced Mathematics Book Series

Founder and Managing Editor, Journal of Geometric Analysis

Editor-in-Chief, Journal of Mathematical Analysis and Applications, 2000-

Software Consultant, Natoli Engineering

Panel Member, AMS Forum on Employment, 1995

Panel Member, Forum on How to Give a Lecture, AMS, 1996

Panel Member, Forum on Set Theory and Logic, AMS, 1996

Member, Board of Advisors, American Institute of Mathematics, 1997-

Member, Putnam Exam Problems Committee of the MAA, 1998-2000

Member of Research Group to Develop Computer Graphic Tools in Aesthetic Rhinoplasty

Helped revise the Math Reviews Subject Classification System, 1999

Chairman, Department of Mathematics, Washington University in St. Louis, 1999-2004

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Steven Krantz
2000-10-22