% 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 >= 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 >= 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 >=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 >=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 >=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 >=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 >= 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 >=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}