<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%                                                              10/08/93 %
% ibm RESume file, Commented, Filled in, /pub/ibmres-tex/res_c_f.ltx    %
% George B. Leeman, Jr., leeman@watson.ibm.com.                         %
% Please read /pub/README.FTP on software.watson.ibm.com before using   %
% this file.  Change the text in the arguments, then run LaTeX on this  %
% file to produce resume, cover letter,  mailing label, and selected    %
% abstracts.                                                            %
% First command must be as shown.  12pt may be changed to 11pt to get output in
% eleven point fonts.  If [12pt,ibmres] is changed to [ibmres], the output will
% be in ten point fonts.
\documentstyle[12pt,ibmres]{article}
% Any of your own macro definitions should follow this comment line.
% Next line required by LaTeX.
\begin{document}
% Name.
\name{George B. Leeman, Jr.}
% Preferred title of address, e.g. Mr., Miss, Mrs., Ms., Dr., first name, etc.,
% followed by last name.  Could be used after "Dear" and before ":" by an
% automated applicant system to send you a letter.
\preferredtitle0{Mr. Leeman}
% School.  Name of current school you are attending.
\school0{The University of Michigan}
% Electronic mail address; use \email{} if you have no such address.
\email{leeman at um.cc.umich.edu}
% Discipline.  Technical area in which you are earning your degree.
\discipline0{mathematics}
% Highest degree you will have when you leave current program.
\highestdegree0{PhD}
% Degree year.  Year in which you obtain(ed) highest degree.
\degreeyear0{1972}
% Work address and phone.  Either use \oneaddressandphone for just one (home)
% address, or use both \workaddressandphone and \homeaddressandphone for two
% addresses.  Separate logical lines of address and phone with \\.
\workaddressandphone{
The University of Michigan\\
Department of Electrical Engineering and Computer Science\\
Ann Arbor, MI 48109-2122\\
(313) 764--8504
}
% Home address and phone; see preceding comment.
\homeaddressandphone{
2904 Washtenaw Avenue, Apt. 1B\\
Ypsilanti, MI 48198\\
(313) 434-1815
}
% Present status, e.g. Postdoc, PhD, MS, BS Student, etc.
\presentstatus{Postdoc Student}
% Immigration status, e.g. U.S. citizen, Permanent Resident, Student Visa.
\immigrationstatus{US citizen}
% Type of employment position desired: Permanent, Summer, Temporary (e.g.
% co-op), etc.
\typeofpositiondesired{Permanent}
% Available date when you could start work.
\availabledate{June, 1973}
% Employer specific items: typically these tags are omitted (or retained with
% null arguments) for general resumes.  Samples:
%   \employerspecifictitle{IBM Fellowship Holder}
%   \employerspecificdata{dates, 9/88-6/90}
% and
%   \employerspecifictitle{IBM Work Experience}
%   \employerspecificdata{(give location, date, manager name)}
\employerspecifictitle{}
\employerspecificdata{}
% Objective, a brief description of position desired.
\objective{To obtain a research or development position in the areas of
stochastic analysis or program correctness.}
% Education: this tag should be followed by &gt;= 1 occurrences of the next six
% tags: \when, \place, \location, \degree, \gpa, and \outof.
\education{}
% Degree date.
\when{Aug. 1972}
% Place where degree was or will be earned.
\place{The University of Michigan}
% Location of place.
\location{Ann Arbor, MI}
% Degree and subject.  Could also include thesis title and advisor, if relevant.
\degree{PhD in Mathematics; advisor: Peter L. Duren; thesis title:
The constrained coefficient problem for typically real functions.}
% Grade point average for the degree.
\gpa{8.217}
\outof{9.000}
% Degree date.
\when{May 1969}
% Place where degree was or will be earned.
\place{The University of Michigan}
% Location of place.
\location{Ann Arbor, MI}
% Degree and subject.  Could also include thesis title and advisor, if relevant.
\degree{MA in Mathematics}
% Grade point average for the degree.
\gpa{8.041}
\outof{9.000}
% Degree date.
\when{June 1968}
% Place where degree was or will be earned.
\place{Yale University}
% Location of place.
\location{New Haven, CT}
% Degree and subject.  Could also include thesis title and advisor, if relevant.
\degree{BA in Mathematics}
% Grade point average for the degree.
\gpa{abolished 11/30/67; class percentile: 97.}
\outof{}
% Employment: if this tag is present, it should be followed by &gt;= 1 occurrences
% of the next four tags: \when, \place, \location, and \text.
\employment{}
% Employment dates.
\when{summers, 1970, 1971}
% Place of employment.
\place{The University of Michigan}
% Location of employer.
\location{Ann Arbor, MI}
% Text describing work you did for employer.
\text{Instructor, teaching undergraduate introductory and intermediate
calculus courses.}
% Employment dates.
\when{summers, 1965--1969}
% Place of employment.
\place{Perkin-Elmer Corporation}
% Location of employer.
\location{Norwalk, CT}
% Text describing work you did for employer.
\text{Scientific programming for problems in engineering and physics.}
% Skills: if this tag is present, it should be followed by &gt;=1 occurrences of
% the \text tag.  This tag is often not needed for general resumes.
\skills{}
% Text for skills section.
\text{Programming in FORTRAN, IBM 360 Assembler, SNOBOL4, LISP, C.}
% Honors: if this tag is present, it should be followed by &gt;=1 occurrences of
% the \text tag.
\honors{}
% Text for honors section.
\text{National Science Foundation Traineeship, September, 1968 to August, 1972.}
% Text for honors section.
\text{BA Magna Cum Laude, honors with exceptional distinction, 1968.}
% Text for honors section.
\text{Election to Phi Beta Kappa, November, 1967.}
% Publications: if this tag is present, it should be followed by &gt;=1 occurrences
% of the \text tag.
\publications{}
% Text for publications section.
\text{The seventh coefficient of odd symmetric univalent functions,
G. B. Leeman, Jr.,
to appear in Duke Mathematical Journal, vol. 43, no. 2, June,
1973.}
% Text for publications section.
\text{A new proof for an inequality of Jenkins,
G. B. Leeman, Jr.,
Proceedings of the American Mathematical Society, vol. 54, Jan.
1973, 114--116.}
% Text for publications section.
\text{The constrained coefficient problem for typically real functions,
G. B. Leeman, Jr.,
Transactions of the American Mathematical Society, vol. 186,
Dec. 1972, 177--189.}
% Miscellaneous: if this tag is present, it should be followed by &gt;=1
% occurrences of the \text tag.  This tag is often not needed for general
% resumes.
\miscellaneous{Member of Board of Directors, Ridgefield Symphony Orchestra,
Ridgefield, CT.}
% References: this tag should be followed by &gt;= 1 occurrences of the tags
% \referencename and \referenceemail.
\references{}
% Reference name, typically with title, location, and phone number.
\referencename{Peter L. Duren, Professor, The University of Michigan,
(313) 764-0202.}
% Reference electronic mail address; use \referenceemail{} if no email address.
\referenceemail{duren at um.cc.umich.edu}
% Reference name, typically with title, location, and phone number.
\referencename{Bernard A. Galler, Professor, The University of Michigan,
(313) 764-5832.}
% Reference electronic mail address; use \referenceemail{} if no email address.
\referenceemail{bernard\_a.\_galler at um.cc.umich.edu}
% Reference name, typically with title, location, and phone number.
\referencename{Maxwell O. Reade, Professor, The University of Michigan,
(313) 764-7227.}
% Reference electronic mail address; use \referenceemail{} if no email address.
\referenceemail{}
% Cover letter.  Include at least two logical lines separated by \\ for the top
% portion of the letterhead.  The first line is set in a large font, and the
% remaining lines are joined by commas and appear in a small font under the
% first line.  If you use \coverletter{} then the related tags \rightlines,
% \recipient, \letterbody, \closing, \cc, \encl, \ps, and \letterlabel will be
% ignored.
\coverletter{
The University of Michigan\\
Department of Electrical Engineering and Computer Science\\
1301 Beal Avenue\\
Ann Arbor, MI 48109-2122
}
% Lines to be placed at the right of the letterhead, in a small font.  They
% should be separated by \\.
\rightlines{
George B. Leeman, Jr.\\
leeman at um.cc.umich.edu\\
(313) 764-8504
}
% Recipient of cover letter and address; use \\ to separate lines.
\recipient{
Manager, PhD Recruiting\\
IBM Thomas J. Watson Research Center\\
P. O. Box 218\\
Yorktown Heights,  New York 10598
}
% Letter body, with a blank line separating each paragraph.
\letterbody{
Dear Sir:
 
\bigskip I would like to apply for a position in the research and development
divisions of your corporation.  I have included a resume and a few abstracts
from some of my published papers.
 
\bigskip I can be reached at the number shown above every afternoon from
1:00 P.M. to 5:00 P.M.  I answer electronic mail throughout each day, including
weekends.
 
\bigskip Thank you for your consideration.
}
% Closing of cover letter, with \\ separating lines.  Extra space will be placed
% between the first and second lines.
\closing{
Sincerely yours,\\
George B. Leeman, Jr.
}
% Carbon copy list.  This tag is optional.  Separate members of list by \\.
% \cc{} will be ignored.
\cc{}
% Enclosures of cover letter, with \\ separating lines.  This tag is optional.
\encl{resume\\selected abstracts}
% Postscript.  This tag is optional.  \ps{} will be ignored.
\ps{}
% Letter label with addressee and return address for an envelope.
\letterlabel{}
% Abstracts: if this tag is present, it should be followed by &gt;=1 occurrences
% of the \text tag.
\abstracts{}
% Text for abstract section.
\text{
{\em The seventh coefficient of odd symmetric univalent functions, by
G. B. Leeman, Jr.}\vskip 3ex
Let $S_{odd}$ be the collection of all functions $f(z) = z +
c_3z^3 + c_5z^5 + c_7z^7 + \cdots$ odd, analytic, and one-to-one in the unit
disk.  In 1933 Fekete and Szeg\"o showed that for all $f$ in $S_{odd}$, $|c_5|
\leq 1/2 + e^{-2/3}$, but no sharp bounds have been found since that time, even
for the subclass of $S_{odd}$ with real coefficients.  In this paper we find the
sharp bound $|c_7|\leq 1090/1083$ for this subclass, and we identify all
extremal functions.\vskip 7 ex
}
% Text for abstract section.
\text{
{\em A new proof for an inequality of Jenkins, by G. B. Leeman, Jr.}\vskip 3 ex
A new proof of Jenkins' inequality
$${\rm Re}(e^{2i\theta}a_3 - e^{2i\theta} a_2^2 - \tau e^{i\theta}a_2) \leq 1 +
{3\over8} \tau^2 - {1\over4}\tau^2 \log ({\tau\over4}),\ \ 0 \leq \tau \leq 4,$$
for univalent functions $f(z) = z + \sum_{n=2}^\infty a_n z^n$ is
presented.\vskip 7 ex
}
% Text for abstract section.
\text{
{\em The constrained coefficient problem for typically real functions, by
G. B. Leeman, Jr.}\vskip 3 ex
Let $-2 \leq c \leq 2$.  In this paper we find the precise upper
and lower bounds on the $n$th Taylor coefficient $a_n$ of functions $f(z) = z +
c z^2 + \sum_{k=3}^\infty a_k z^k$ typically real in the unit disk for
$n=3,4,\cdots \ .$  In addition all the extremal functions are identified.
}
% Next line required by LaTeX.  This should be the final tag.
\end{document}
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