Curriculum
Vitae
Frank David Lesley
born December 20, 1944
El Paso, Texas
B.S. Stanford University 1966
M.A. University of California, San Diego 1968
Ph.D. University of California, San Diego 1970
Advisor- S.E. Warschawski
Professional Experience
1970-1973 Assistant Professor, San Diego State
University
1973-1976 Associate Professor, San Diego State University
1976-present Professor, San Diego State University
1978 (Jan.-Aug.) Visitor, University of Giessen, Germany
1986 (June-Dec.) Visitor, University Co1lege, London
1994-present Associate Chair SDSU Department of Mathematical Sciences
Research Papers in refereed journals
1. Differentiability of minimal sufaces at the
boundary, Pacific Math. J.
37 (1971)123-139.
2. (with R. Gulliver) On boundary branch points of minimizing sufaces, Arch. Rational Mech. Anal. 52 (1973) 20-25.
3. (with V.S. Vinge and S.E. Warschawski)
Approximation by Faber
polynomials for a class of Jordan domains, Math. Zietschrift 138 (1974)
225-237.
4.(with J.F. Kerridge and I.R. Kaplan) Accumulation and isotopic evolution of carbon on the lunar surface, Proceedings of the Fifth Lunar Conference (supplement 5, Geochimica et Cosmochimica Acta ) Vol 2 (1974) 1855-1868.
5. (with D. Burdick) Some uniqueness theorems for analytic functions, Amer. Math. Monthly 82 (1975)152-155.
6. Best Approximation on smooth arcs, J. Approx. Thry 18 (1976) 378 382.
7. (with S.E. Warschawski) On conformal mappings with derivative in VMOA, Math. Zeitschrift 158 (1978) 275-283.
8. On interior and exterior conformal mappings of the
disk, J. London Math.
Soc. (2) 20 (1979) 67-68.
9. Holder continuity of conformal mappings at the
boundary via the strip
method, Indiana Univ. Math J. 31 (1982) 341-354.
10. (with S.E. Warschawski) Boundary behavior of
the Riemann mapping
function for asymptotically conformal curves, Math Zeitschift 179 (1982)
299-323.
11. (with S.E. Warschawski) Oscillation on
vertical crosscuts in the
conformal mapping of infinite strips, J. London Math Soc. (2) 26 (1982)
89-103.
12. Domains with Lipschitz mapping functions, Ann. Acad. Sci. Fenn., Ser. A 1.8 (1983) 219-234.
13. Conformal mappings of domains satisfying a wedge condition, Proc.
A.M.S. 93 (1985) 483-488.
14. (with C.H. FitzGerald) Boundary regularity of
domains satisfying a
wedge condition, Complex Variables 5 (1986)141-154.
15. Biography of S.E. Warschawski, Complex Variables 5 (1986) 95-109.
16. A non- quasicircle with almost smooth mapping functions, Comment. Math. Helvetici, 61 (1986) 279-289.
17. (with C.H. FitzGerald) Integrability of the
derivative of the Riemann
mappings function for wedge domains, Journal d'Analyse 49 (1987) 271 292.
18. (with J.M. Anderson and A. Hinkkanen) On
theorems of Jackson and
Bernstein type in the complex plane, Constructive Approximation 4 (1988)
307-319.
19. (with J.M. Anderson and J. Becker) On the
boundary correspondence of
asymptotically conformal automorphisms, J. London Math. Soc. 2 (1988)
453-462.
20. (with J.M. Anderson) A smoothness criterion
for curves, Complex
Variables Theory Appl. 21 (1993), 131-136.
21. (with J.M. Anderson) Tangents to curves and a
dyadic parametrization,
Michigan Math J. 41 (1994), 269-284.
22. (with J.M. Anderson and Miriam Grifkin) Some Dyadic Properties of Curves, Quart.J. Math.
23. (with J.M. Anderson and V.I.Rotar) On a dyadic parametrization of curves. Comput. Methods Func. Theory 3 (2003) No. 1, 105-115.
24. (with V.I. Rotar) Some remarks on lower bounds of Chebyshev’Äôs type for half lines, Journal of Inequalities in Pure and Applied Mathematics 4 Issue 5, 2003 (electronic).
Talks at conferences
1. Oberwohlfach Session in Complex
Analysis, Oberwohlfach, Germany February 1978. (invited)
2. Special Session in Complex Analysis, AMS meeting, Austin, March 1981. (invited)
3. Session on Complex Analysis, AMS meeting, Denver, January 1982.
4. Nevanlinna Colloquium, Jyvaskyla Finland, August 1983. (invited)
5. Special Session on Complex Analysis, AMS meeting, San Diego, November 1984. (organizer)
6. Annual meeting of British and Irish Complex Analysts, Cardiff Wales, September 1986. (invited)
7. Trinity College, Dublin Ireland, October 1986 (invited)
8. York University, York UK , November 1986 (invited)
9. University College, London UK, December 1986 (invited)
10. Special Session on Complex Analysis, AMS
meeting, Honolulu, March
1987. (invited)
11. Nevanlinna Colloquium, Joensuu Finland, August 1987. (invited)
12. Special Session on Complex Analysis, National AMS meeting, San Diego, January 1997. (invited)
13. Mu Alpha Theta Convention San Diego State University Summer 2000
In addition I have given several dozen informal seminars at each of UC San
Diego and SDSU over the years.
Masters Degree Students: Twenty M.A. students
including thirteen theses.
2003 Arturo Millan On the Spectrum of a Drum
2003 Jiri Lebl Quasiconformal Extensions of Quasisymmetric Mappings
2002 Jennifer Martin Point to Point: An Analysis of Pick’Äôs Theorem
2001 Dan Kleinfelter On the Besicovitch and Kakeya Problems
2000 Sandra Nieto Julia Sets as Jordan Curves
1997 Perri Gill Finitely generated Fuchsian groups
1996 Mimi Grifkin Generalizations of the second difference from functions to curves
1993 Alan Krause Computing the Schwarz-Christoffel transformation numerically
1993 Alan Deeley On the connectedness of the Mandelbrot set
1992 Joel Batchelor The harmonic measure of the snowflake
1989 Anne Klausen The Convergence of Bieberbach Polynomials
1989 Paul Brock V.K. Dzyadyk's method of complex approximation
1986 Razia Shoyeb Modulus of Quadrilaterals
1984 Wyatt Casey A Linear Algerbra Multi-purpose program
1976 Kenneth Chase Some uniqueness theorems for several complex variables
1975 Randolph Krauss Applications of ordinary differential equations to ecosystems modeling
1974 Dan Kater Bieberbach's conjecture
1974 Dennis Volper Green's Functions
1974 Ronan Mandra Dirichlet's Principle
1972 Cora-Lynn Harrison Regularity of Minimal Surfaces
Other contributions:
Organizer: The Literary Group Weekly departmental seminar since 1974
Author:" History of the Department of Mathematical Sciences" Spring 1997
Reviewer: Zentralblatt fur Mathematik
Reviewer: Math Reviews
Outstanding Faculty Award SDSU 1987
NATO Collaboration Grant 1991-1999 (with J.M. Anderson)