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Scott W. Williams' Resumé Page
ORGANIZATION  Scott Williams' home page 

III. HONORS / AWARDS 

VI. TEACHING 
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Scott W. Williams
Professor of Mathematics
State University of New York at Buffalo
Buffalo NY 14214 USA
DATE AND PLACE OF BIRTH: April 22, 1943, Staten Island, NY
Wife: GLO ANIEBOWILLIAMS
Offspring: RACHAEL (24), REBEKAH (22), and EVE (14)
EDUCATION
1964, B.S. Morgan State College (Baltimore, MD)
1967, M.S. Lehigh University (Bethlehem, PA)
1969, Ph.D. Lehigh University (Bethlehem, PA)
PROFESSIONAL EMPLOYMENT
1964 International Business Machines, Product Testing Department, Kingston NY
19681969 Instructor, Pennsylvania State University, Allentown PA
19691971 Research Associate, Pennsylvania State University, College Park PA
19711977 Assistant Professor, State University of New York at Buffalo, Buffalo NY
19771985 Associate Professor, State University of New York at Buffalo, Buffalo NY
19801981 Visiting Associate Professor, Institute for Medicine and Mathematics, Athens, OH
1985PRESENT Professor, State University of New York at Buffalo, Buffalo NY
19861987 Fulbright Lecturer, Charles University, Prague, Czechoslovakia
19881991 Adjunct Professor, Beijing Teacher's College, Beijing, China
19921997 Summer School on Mathematical Biology for Young Scholars, Villanova University, Philadelphia PA
Teaching Awards:
1982 Chancellor's Award for Excellence in Teaching, State University of New York
19861987 FulbrightLecturer (Prague Czechoslovakia)
Research Grants:
19801981 Ford Foundation Senior Minority Postdoctoral Fellowship
19831988 NSF #R118219633, Two Topics in Topology: Box Products and Coabsolutes
Selected Invited Lectures and Colloquia:
All talks were in Mathematics unless otherwise noted.
2002: 17th summer conference on Topology and its Applications, University of Auckland, New Zealand, June 2002
Conference Celebrating Melvin Henriksen's 75th Birthday CUNY New York City, March 2002
2001. University of the Virgin Islands, Colloquium FebruaryMarch 2001
Florida Memorial college, Miami Florida October 2001 History
2000. Elizabeth State University, Elizabeth City, North Carolina, February 2000
1999. 5th Conference for African American Researchers in the Mathematical Sciences, University of Michigan, Ann Arbor MI, June 1999
SUMSRI, Miami University of Ohio, June 1999 (2 lectures  1 history)
1998. Buffalo State College, October 1998 (History)
1997. Canisius Collge, Buffalo BY, November 1997.
Seminar on Topology and Applications, CUNYCity College, New York, New York, May 1997
Keynote Address: Conference on Black History, Queens University, Kingston, Ontario, February 1997 History
1996. University of Toronto, Logic Seminar, Toronto, Ontario, Canada, October 1996 (100 minutes)
2nd Conference for African American Research in the Mathematical Sciences, DIMACS, Rutgers University, New Brunswick, New Jersey, June 1996
University of North Carolina, Wilmington NC, Lecture to student body&community, February 1996 (Psychology/Sociology)
University of North Carolina, Wilmington NC, February 1996
1995. Lincoln University, Lincoln PA, October 1995
University of Delaware, Newark DE, Colloquium, October 1995
1992. Conference on Topology, Kansas State University, Manhatten, KS January 1992
1991. Conference
on Uniformities, Berne, Switzerland August 1991
Topology Seminar, Charles University, Prague, The Czech Republic,
August 1991
1990. The Claytor Lecture, National Association of Mathematicians, Louisville, KY, January 1990
1988. Beijing Normal University, Beijing, China, 18 lectures, MayJune 1988
Beijing Polytechnic University, Beijing, China, June 1988
Colloquium Sichuan University, Chengdu, China, July 1988
Northwest University, Xian, China, July 1988
Kent State University, Kent, OH February 1988
Ohio University, Athens, OH February 1988
Auburn University, Auburn, AL (Colloquium  2 lectures) January 1988
1987. Topology Seminar, Oxford University, England August 1987
Silesian University, Katowice, Poland (Colloquium) May 1987
University of Warsaw, Warsaw Poland (Colloquium) May 1987
15th Winter School for Abstract Analysis, Srni, Czechoslovakia, January 1987
1986. Fifth Prague Topological Symposium, Prague, Czechoslovakia, August 1986
University of Delaware, Newark, DE (Colloquium) April 1986
Lehigh University, Bethlehem, PA (Colloquium) April 1986
1985. Conference on Algebra and Topology, New York, NY, July
University of Toronto, Joint Seminar Set Theory and Ergodic Theory Canada (Invited Lecturer) April
C.U.N.Y. City College, New York, NY (2 lectures, Colloquim lecture and seminar lecture) March
Ontario Mathematics Society Annual Meeting, Toronto,Canada February
1984. Semester on Topology at Stefan Banach International Mathematical Centre, Warsaw, Poland, June
12th Winter School for Abstract Analysis, Srni, Czechoslovakia, January 1984 (2 lectures)
1983. LogicSeminar, University of Toronto, Canada (3 hour invited lecture) December
Kofner Memorial Topology Conference Fairfax, VA November
1982. Wesleyan University (Colloquium), April
George Mason University (Colloquim) March
Spring Topology Conference, Annapolis, MD March
1981. NATO Conference on Topology and Order, Amsterdam, The Netherlands, August 1981
University of Washington, Seattle, WA, June 1981
1979. Annual Spring Topology Conference, Athens, OH, March 1979
1976. University of Toronto September 1976
1975. Special session on settheoretic topology, AMS Summer Meeting, Kalamazoo MI, August 1975
General Topology, Settheoretic Topology, Set Theory, Topological Dynamics, Biography, History. For the mathematics field of Topology in general, browse Topology Atlas.
CONTENTS
Mathematics
Biography and History
NAM Newsletter Articles
World Wide Web Publications
ACCEPTED
OTHER

Traditional
MATHEMATICS (Look me up in MATHEMATICAL
REVIEWS for observations by peers.)
Completeness for all,
Proceedings of the Washington State University Conference on
Topology, (1970), 127136.
Liberation of the Q  Gap, Proceedings of the University of Houston Point Set Topology Conference, (1972), 179186.
The transfinite cardinal covering dimension and separability, Portugaliae Mathematicae 32, No. 3 (1973), 139145.
(with William Fleischman) The Gdelta topology on compact spaces, Fundamenta Mathematicae 83 (1974), 143149.
A technique for reducing certain covers on certain L.O.T.S. and their products, TOPO 72 (1974), 586590.
Paracompactness and products, General Topology and its applications 9, (1976), 117125.
Is box omega omega+1 Paracompact?, Topology Proceedings 1 (1976), 141146.
Boxes of compact ordinals, Topology Proceedings 2 (1977), 631642.
An application of trees to topology, Topology Proceedings 3 (1978), 523525.
Recent results in the theory of coabsolutes, N.A.M. Proceedings (1981), 27.
Spaces wth dense orderable subspaces, Topology and Order Structures I, Math. Cent. Tracts 142 (1981) , 2749.
(with Marlene Gewand) Covering properties of linearly ordered topological spaces and their products, Topology and Order I, Math Cent. Tracts 142 (1981), 119132.
Coabsolutes and homeomorphic dense subspaces, Canadian Journal of Mathematics 33 (1981), 857861.
Trees, Gleason spaces, and coabolutes of betaN\N, Transactions of the American Mathematical Society 271 (1982), 83100.
(with Jan van Mill) A compact Fspace not coabsolute with betaN\N, Topology and its Applications 15 (1983), 5964.
Orderable subspaces of CechStone remainders, Topology Proceedings 7 (1982), 301327.
Coabsolute of CechStone Remainders and Orderable Spaces, General Topology and relations to Modern Analysis and Algebra 5 (1982), 699705.
Orderable subspaces of compact Fspaces, Topology and Order Structures II, Math. Cent. Tracts 169 (1983), 91105.
Box Products, The Handbook for Settheoretic Topology, NorthHolland (1984), 169200.
Paracompactness in box products, Proceedings of the 12th Winter School on Abstract Analysis, Rend. del Cir. Mat. Palermo series II.6 (1984), 314328.
More realcompact spaces, Rings of Continuous Functions , Lecture Notes Pure and Applied Mathematics 95 (1985), 289300.
(with B. Balcar and P. Kalasek) Multiple recurrence in dynamical systems, Comment. Math. Univ. Carolina 28 (1987), 607612.
Mapping the ordinal function depth, Interim Reports of the Prague Topological Symposium 1 (1987), p. 24.
(with L. Friedler and H. Martin) Paracompact Cscattered spaces, Pacific Journal of Mathematics 129 (1987), 277296.
Special points arising from selfmaps, General Topology and relations to Modern Analysis 6, (1988), 629638.
(with Yang Shoulian) On the countable box products of compact ordinal spaces, Topology Proceedings 12 (1987), 159172.
(with Yang Shoulian) On the box products of small ordinal spaces (chinese), Kexue Tong bao 33 (1987), 10511053.
(with J. Roitman) The Paracompactness of spaces related to uncountable box products, Topology Proceedings 15 (1990), 135142.
(with Haoxuan Zhou) Strong versions of normality, General Topology and Applications, lecture notes in pure and applied mathematics 134 (1991), 379390.
(with J. Pelant) Examples of Recurrence, Papers on General Toplogy and Applications, Annals of the New York Academy of Sciences 806 (1996), 316332.
Dynamics on the irrationals, African Americans in Mathematics, Series in Discrete Math and Theor. Comp. Sci. 34 (1997), N. Dean ed., 83103.
(with Haoxuan Zhou) The orderlike structure of compact monotonically normal spaces, Comment. Math. Univ. Carolinae, 39,1 (1998), 207217.
Biography: (with Gloria Ford Gilmer) An Interview with Clarence Stephens, UME Trends, Vol. 2, No.1, March 1990.
History/Biography: Black Research Mathematicians in the United States, African Americans in Mathematics II, Contemporary Mathematics Series 252 (1999), N. Dean, C. McZeal, P. Williams editors, 165168.
Million Buck Problems, The Mathematical Intelligencer, (JuneJuly 2002).
Legacy, NAM Newsletter 31 #1, (March 2000), 3.
Fermat in Nigeria, NAM Newsletter 31 #1, (March 2000), 3.
TOPOLOGY ATLAS COLUMNS http://www.unipissing.ca/topology/column.htm 1. On Affirmative Action, Topology Atlas 1 #1, (1996) 2. Are our students worse?, Topology Atlas 1 #2, (1996) 3. Moore karma ran over my dogma, Topology Atlas 1 #3, (1996) 4. Keep your hands from beans, Topology Atlas 2 #2, (1997) 5. A Column Concerned with Qualifying Exams in Topology, Topology Atlas 3 #1, 1998 MATHEMATICIANS OF THE AFRICAN DIASPORA: http://www.math.buffalo.edu/mad/mad0.html (1500+files & 38 Mb) 1. Profiles of all Black Mathematicians 2. Black Women in Mathematics 3. The Greatest Black Mathematicians 4. A Modern history of Blacks in Mathematics 5. National Association of Mathematicans 6. AMUCHMA Newsletter
Modern General Topology with Dynamics and Homotopy (working title), previously known as The Black Arts of Topology with Homotopy  an undergraduate/graduate textbook (Ms. 600 pp.) accepted for publication John Wiley & Sons  projected appearance fall 1996.
IN PROGRESS
More dynamics on the irrationals (Ms. 11pp.)
Some compact monotonically normal spaces (Ms. 18 pp.)
(with Stephen Watson) Resolving to the Absolute
(with Mihaela Iancu) The Topology of Metric Spaces (Ms. 23)
FALLEN THROUGH THE CRACKS
Exercises into the mathematics of the glass bead game (1972). (Ms. 6 pp.)
The big intervals (1974). (Ms. 3 pp.)
On first countable ordered spaces (1974). (Ms. 18 pp.)
(with Marlene Gewand) Products with Lindelof Spaces (1975). (Ms. 19 pp.)
Countable box topologies (1976). (Ms. 14 pp.)
Paracompact products and cardinal functions (1977). (Ms. 9 pp.)
A survey letter on the theory of coabsolutes (1979). (Ms. 6 pp.)
A simple exercise in forcing (1981). (Ms. 15 pp.)
Paracompactness and realcompactness in finer topologies (1983). (Ms. 44 pp.)
Maps from compact X to itself (1984). (Ms. 31 pp.)
General dynamics (1986). (Ms. 72 pp.)
China Lectures on set theory in topololgical dynamics (1988). (Ms. 60 pp.)
Paracompact subsets of uncountable box products (1992)
NATIONAL
1969 Founder, National Association of Mathematicians (formerly known as Black and Third World Mathematicians)
19671976 Member, Mathematical Association of America
1969present Member, National Association of Mathematicians
19691979 Member, American Mathematical Society
1971 Local Organizing Committee for American Mathematical Society Summer Meeting at Pennsylvania State University University Park
19751976 Appointed to the Committee on Editorial Policy of the Notices of the American Mathematical Society
19761979 Editorial Board of the Notices of the American Mathematical Society
19761978 Founded the Great Lakes Seminar on General Topology and its Applications (A group of approximately 20 active topologists and another 10 to 20 students within a 200 mile radius of Buffalo, NY).
1976present I have refereed articles for numerous journals, among them are: Bulletin Canadian Mathematical Society, Topology Proceedings, Proceedings American Mathematical Society, Topology and its Applications, Real Analysis Exchange, Indian Journal of Mathematics
19771978 Directed Meetings of the Great Lakes Seminar on General Topology and its Applications: April 1977, October 1977, April 1978
19801982 Appinted to the American Mathematical Society Committee on Opportunities in Mathematics for Disadvantaged Groups
19831986 National Science Foundation Panel on Minority Graduate Fellowships
1985 National Science Foundation Panel on Minorities in Science
19851986 Served as mentor to Yang Shoulian, Exchange visitor from Beijing Teacher's College
19891993 Referee of Grant Applications to the National Science Foundation, grants in Topology and Foundations section
1990 National Association of Mathematicians, Book Review Editor
19911996 Advisory Committee of the Summer Conference on Topology and its Applications
19931994 National Research Council/Ford Foundation Panel on
Minority Graduate Fellowships
COMMUNITY
1969present I have given numerous lectures to high school students in Buffalo and elsewhere. The most significant of these were 30 lectures on Group Theory and Applications in the summer of 1981 to high ability minority students in Ohio while I was visiting the Institute for Medicine and Mathematics, and lectures in 1990 to Upward Bound Students at the State University of New York at Buffalo
19811988 Member, Bennett Park Montesori Public School Steering Committee
19841986 Chairman , Humanities Committee, Bennett Park Steering Committee
19891990 Made numerous visits to and talks at The Buffalo Public School Board Meetings
19921996 Advisory Board of WBFO (a National Public Radio member radio station)
19941995 Friends of Public Broadcasting (a volunteer support organization for the Corporation of Public Broadcasting)
1995PRESENT Member of the Circle Association, a group of AfricanAmerican men practicing and dedicated to the quality of life, successful manhood and parenting, economic growth and development, and the pursuit of excellence and spiritual development.
1996 Black Male Summit, member on a panel on opportunities for youth and young adults.
1996present member of Profesional Macintosh Users Group
1996present Newsletter Coodinator of Profesional Macintosh
Users Group
PH.D THESIS DIRECTION at The State University of New York at Buffalo:
Student/Dissertation Title: Degree Awarded:
Gewand, Marlene 1978 Cardinal functions
Qi, Jincheng 1993 Normality in finer topologies
Li, Jingquan Coabsolutes of Orderable Spaces In progress
MASTERS THESIS DIRECTION
at Pennsylvania State University: 2 students
at The State University of New York at Buffalo: 2 students
at Ohio University: 1 student
at Beijing Teachers' College: 1 student
Other Activities in Teaching:
From 19721992, I've been the principal lecturer in a seminar not a part of my teaching duties.
I Designed and taught the following graduate courses :
19721973 (Fall Semester) Paracompact Spaces (Spring Semester) Dimension Theory (Spring Semester) Linearly Ordered Topological Spaces
1973 (Summer) Linearly Ordered Topological Spaces
19731974 (Spring Semester) Cardinal Functions in Topology
19741975 (Fall Semester) Box Topologies (Spring Semester) Category Theory
1975 (Summer Session) Category Theory
19771978 (with Nicolas Goodman) Applied Set Theory
1978 (Fall Semester) Boolean Algebras and the Theory of Ultrafilters
19821983 Product Spaces
19851986 Applications of Set Theory to Topology and Topological Dynamics
199094 Topology for Undergraduates and Graduates
199596 Resolutions and Elementary Submodels
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