Scott W. Williams
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Scott Williams (born April 22, 1943, in
Staten Island, New York Staten Island ( ) is the southernmost of the boroughs of New York City, five boroughs of New York City, coextensive with Richmond County and situated at the southernmost point of New York (state), New York. The borough is separated from the ad ...
) is a professor of
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
at the
University at Buffalo The State University of New York at Buffalo (commonly referred to as UB, University at Buffalo, and sometimes SUNY Buffalo) is a public university, public research university in Buffalo, New York, Buffalo and Amherst, New York, United States. ...
, SUNY. He was recognized by
Mathematically Gifted & Black Mathematically Gifted & Black (MGB) is a website that features the accomplishments of black scholars in mathematical sciences. In addition to highlighting the work and lives of established mathematicians in the African Diaspora, the platform aims ...
as a Black History Month 2017 Honoree.


Education

Raised in
Baltimore, Maryland Baltimore is the List of municipalities in Maryland, most populous city in the U.S. state of Maryland. With a population of 585,708 at the 2020 United States census, 2020 census and estimated at 568,271 in 2024, it is the List of United States ...
, Williams attended
Morgan State University Morgan State University (Morgan State or MSU) is a Public university, public historically black colleges and universities, historically black research university in Baltimore, Baltimore, Maryland. It is the largest of Maryland's historically bla ...
and earned his
bachelor degree A bachelor's degree (from Medieval Latin ''baccalaureus'') or baccalaureate (from Modern Latin ''baccalaureatus'') is an undergraduate degree awarded by colleges and universities upon completion of a course of study lasting three to six years (d ...
of Science in mathematics. Before earning his bachelor's degree he was already able to solve four advanced problems in '' The Mathematical Monthly'' and co-authored two papers on Non-Associative Algebra with his undergraduate advisor Dr. Volodymyr Bohun-Chudinov. Scott Williams earned his Master's and Ph.D. in mathematics from
Lehigh University Lehigh University (LU), in Bethlehem, Pennsylvania, United States, is a private university, private research university. The university was established in 1865 by businessman Asa Packer. Lehigh University's undergraduate programs have been mixed ...
in 1967 and 1969, respectively.


Career

Williams served as a Research Associate in the Department of Mathematics at
Pennsylvania State University The Pennsylvania State University (Penn State or PSU) is a Public university, public Commonwealth System of Higher Education, state-related Land-grant university, land-grant research university with campuses and facilities throughout Pennsyl ...
– University Park, from 1969 to 1971. In 1971, he was chosen to be assistant professor of mathematics at the
University at Buffalo The State University of New York at Buffalo (commonly referred to as UB, University at Buffalo, and sometimes SUNY Buffalo) is a public university, public research university in Buffalo, New York, Buffalo and Amherst, New York, United States. ...
and in 1985 was promoted to Full Professor at the university. In 1982, he won the New York Chancellor Award for Excellence in Teaching. In 2004, he was named one of the 50 Most Important Blacks in Research Science by ''Science Spectrum Magazine'' and Career Communications Group. Williams primarily focused on
topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
and the field of mathematics. In 1975, he was the first topologist to apply the concept of scales (now known as b = d) to give a partial solution of the famous Box Product problem, which is still unsettled today. Dr. Williams was one of two founders of Black and Third World Mathematicians, which in 1971 became the
National Association of Mathematicians The National Association of Mathematicians is a professional association for mathematicians in the US, especially African Americans and other minorities. It was founded in 1969.
. Together with William Massey of Lucent Technologies, Dr. Williams founded the Committee for African American Researchers in the Mathematical Sciences in 1997. In 1997, Williams created the website
Mathematicians of the African Diaspora Mathematicians of the African Diaspora (MAD) is a website created in 1997 by Scott W. Williams of the  University at Buffalo, SUNY dedicated to promoting and highlighting the contributions of members of the African diaspora to mathematics, espec ...
(MAD) dedicated to promoting and highlighting the contributions of members of the African diaspora to mathematics, especially contributions to current mathematical research.Mathematicians of the African Diaspora
mathad.com


Publications


Non-research publications

* Williams, Scott W. "Million-buck problems". ''Math. Intelligencer'' 24 (2002), no. 3, 17–20. * Williams, Scott W. "Compact! A tutorial", ''Contemp. Math.'', 275, Amer. Math. Soc., 161–171, Providence, RI, 2001. * Williams, Scott W. "Black research mathematicians in the United States". African Americans in mathematics, II (Houston, TX, 1998), Contemp. Math., 252, 165–168 Amer. Math. Soc., Providence, RI, 1999. * Williams, Scott W. "Some dynamics on the irrationals. African Americans in mathematics" (Piscataway, NJ, 1996), 83–103, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 34, Amer. Math. Soc., Providence, RI, 1997. * Williams, Scott W. "Box products". Handbook of set-theoretic topology, 169–200, North-Holland, Amsterdam-New York, 1984.


Research publications

# Williams, Scott W.; Zhou, Haoxuan ''Order-like structure of monotonically normal spaces.'' Comment. Math. Univ. Carolin. 39 (1998), no. 1, 207–217. # Pelant, Jan and Williams, Scott W. ''Examples of recurrence.'' Papers on general topology and applications (Gorham, ME, 1995), 316–332, Ann. New York Acad. Sci., 806, New York Acad. Sci., New York, 1996. # Williams, Scott W.; Zhou, Hao Xuan ''Strong versions of normality.'' General topology and applications (Staten Island, NY, 1989), 379–389, Lecture Notes in Pure and Appl. Math., 134, Dekker, New York, 1991. # Roitman, Judith and Williams, Scott ''The paracompactness of spaces related to uncountable box products.'' Topology Proc. 15 (1990), 135–141. # Williams, S. W. ''Special points arising from self-maps.'' General topology and its relations to modern analysis and algebra, VI (Prague, 1986), 629–638, R & E Res. Exp. Math., 16, Heldermann, Berlin, 1988. # Yang, Shou Lian and Williams, Scott W. ''On box products of small ordinal spaces.'' Kexue Tongbao (English edn) 33 (1988), no. 7, 554–556. # Yang, Shou Lian and Williams, Scott W. ''On box products of small families of spaces of ordinal numbers.'' (Chinese) Kexue Tongbao (Chinese) 32 (1987), no. 14, 1051–1053. # Yang, Soulian and Williams, Scott W. ''On the countable box product of compact ordinals.'' Proceedings of the 1987 Topology Conference (Birmingham, AL, 1987). Topology Proc. 12 (1987), no. 1, 159–171. # Balcar, Bohuslav; Kalá\v sek, Pavel and Williams, Scott W. ''On the multiple Birkhoff recurrence theorem in dynamics. Comment.'' Math. Univ. Carolin. 28 (1987), no. 4, 607–612. # Friedler, L. M.; Martin, H. W.; Williams, S. W. ''Paracompact $C$-scattered spaces.'' Pacific J. Math. 129 (1987), no. 2, 277–296. # Williams, Scott W. ''More realcompact spaces.'' Rings of continuous functions (Cincinnati, Ohio, 1982), 289–300, Lecture Notes in Pure and Appl. Math., 95, Dekker, New York, 1985. # Williams, Scott W. ''Paracompactness in box products.'' Proceedings of the 12th winter school on abstract analysis (Srní, 1984). Rend. Circ. Mat. Palermo (2) 1984, Suppl. No. 6, 313–328. # Williams, S. W. ''Orderable subspaces of compact $F$-spaces.'' Topology and order structures, Part 2 (Amsterdam, 1981), 91–105, Math. Centre Tracts, 169, Math. Centrum, Amsterdam, 1983. # Williams, S. W. ''Coabsolutes of \v Cech\mhy Stone remainders and orderable spaces.'' General topology and its relations to modern analysis and algebra, V (Prague, 1981), 699–705, Sigma Ser. Pure Math., 3, Heldermann, Berlin, 1983. # van Mill, Jan; Williams, Scott W. ''A compact $F$-space not co-absolute with $\beta\bold N-\bold N$.'' Topology Appl. 15 (1983), no. 1, 59–64. # Williams, Scott ''Orderable subspaces of \v Cech-remainders.'' Proceedings of the 1982 Topology Conference (Annapolis, Md., 1982). Topology Proc. 7 (1982), no. 2, 301–327. # Williams, Scott W. ''Trees, Gleason spaces, and coabsolutes of $\beta \sim $.'' Trans. Amer. Math. Soc. 271 (1982), no. 1, 83–100. # Gewand, Marlene E. and Williams, Scott W. ''Covering properties of linearly ordered topological spaces and their products.'' Topology and order structures, Part 1 (Lubbock, Tex., 1980), pp. 119–132, Math. Centre Tracts, 142, Math. Centrum, Amsterdam, 1981. # Williams, Scott W. "Coabsolutes with homeomorphic dense subspaces". ''Canad. J. Math.'' 33 (1981), no. 4, 857–861. # Williams, Scott W. ''Spaces with dense orderable subspaces.'' Topology and order structures, Part 1 (Lubbock, Tex., 1980), pp. 27–49, Math. Centre Tracts, 142, Math. Centrum, Amsterdam, 1981. # Williams, Scott W. "Boxes of compact ordinals". Topology Proc. 2, no. 2(1978), 631–642 . # Williams, Scott W. ''Is $\sp(\omega +1)$ paracompact?'' Topology Proceedings, 1 (1977), 141–146. # Williams, Scott W. ''Paracompactness and products.'' General Topology and Appl. 6 (1976), no. 2, 117–125. (Reviewer: H. R. Bennett) 54D20 (54F05) 651 #11449 # Williams, Scott W. ''A technique for reducing certain covers on certain L.O.T.S. and their products.'' TOPO 72---general topology and its applications (Proc. Second Pittsburgh Internat. Conf., Pittsburgh, Pa., 1972; dedicated to the memory of Johannes H. De Groot), pp. 586–590. Lecture Notes in Math., Vol. 378, Springer, Berlin, 1974. # Fleischman, William; Williams, Scott ''The $G\sb$-topology on compact spaces.'' Fund. Math. 83 (1974), no. 2, 143–149. # Williams, Scott ''Transfinite cardinal dimension and separability.'' Portugal. Math. 32 (1973), 139–145. (Reviewer: A. Appert) 54F45 942 #5224 # Williams, Scott W. ''The liberation of the $Q$-gap.'' Proceedings of the University of Houston Point Set Topology Conference (Houston, Tex., 1971), pp. 179–186. Univ. Houston, Houston, Tex., 1971. # Williams, Scott W. ''Completeness for all.'' 1970 Proc. Washington State Univ. Conf. on General Topology (Pullman, Wash., 1970) pp. 127–136, Dept. of Math., Washington State Univ., Pullman, Wash.


References

* *http://www.math.buffalo.edu/mad/PEEPS/williams_scottw.html *http://webfiles.uci.edu/mcbrown/display/scott_williams.html


External links


official web page

The Compleat Abridged Scott W. Williams
University at Buffalo {{DEFAULTSORT:Williams, Scott W. 1943 births Living people 20th-century American mathematicians 20th-century African-American academics 20th-century American academics 21st-century African-American academics 21st-century American academics 21st-century American mathematicians African-American mathematicians Lehigh University alumni Morgan State University alumni Pennsylvania State University faculty Academics from New York City University at Buffalo faculty