词条 | Rodica Simion |
释义 |
Rodica Eugenia Simion (January 18, 1955 – January 7, 2000) was a Romanian-American mathematician. She was the Columbian School Professor of Mathematics at George Washington University. Her research concerned combinatorics: she was a pioneer in the study of permutation patterns, and an expert on noncrossing partitions. BiographySimion was one of the top competitors in the Romanian national mathematical olympiads.[1] She graduated from the University of Bucharest in 1974, and immigrated to the United States in 1976.[2] She did her graduate studies at the University of Pennsylvania, earning a Ph.D. in 1981 under the supervision of Herbert Wilf.[2][3] After teaching at Southern Illinois University and Bryn Mawr College, she moved to George Washington University in 1987, and became Columbian School Professor in 1997.[2] Research contributionsSimion's thesis research concerned the concavity and unimodality of certain combinatorially defined sequences,[4] and included what Richard P. Stanley calls "a very influential result" that the zeros of certain polynomials are all real.[2] Next, with Frank Schmidt, she was one of the first to study the combinatorics of sets of permutations defined by forbidden patterns; she found a bijective proof that the stack-sortable permutations and the permutations formed by interleaving two monotonic sequences are equinumerous, and found combinatorial enumerations of many permutation classes.[2][4] The "simsun permutations" were named after her and Sheila Sundaram, after their initial studies of these objects;[10][5] a simsun permutation is a permutation in which, for all k, the subsequence of the smallest k elements has no three consecutive elements in decreasing order.[6] Simion also did extensive research on noncrossing partitions, and became "perhaps the world's leading authority" on them.[2] Other activitiesSimion was the main organizer of an exhibit about mathematics, Beyond Numbers, at the Maryland Science Center, based in part on her earlier experience organizing a similar exhibit at George Washington University.[2][7] She was also a leader in George Washington University's annual Summer Program for Women in Mathematics.[2] As well as being a mathematician, Simion was a poet and painter;[8][9] her poem "Immigrant Complex" was published in a collection of mathematical poetry in 1979.[10] Selected publications
| last = Simion | first = Rodica | doi = 10.1016/0097-3165(84)90075-X | issue = 1 | journal = Journal of Combinatorial Theory | mr = 728500 | pages = 15–22 | series = Series A | title = A multi-indexed Sturm sequence of polynomials and unimodality of certain combinatorial sequences | volume = 36 | year = 1984}}.
| last1 = Simion | first1 = Rodica | last2 = Schmidt | first2 = Frank W. | issue = 4 | journal = European Journal of Combinatorics | mr = 829358 | pages = 383–406 | title = Restricted permutations | volume = 6 | year = 1985 | doi=10.1016/s0195-6698(85)80052-4}}.
| last1 = Simion | first1 = Rodica | last2 = Ullman | first2 = Daniel | doi = 10.1016/0012-365X(91)90376-D | issue = 3 | journal = Discrete Mathematics | mr = 1144402 | pages = 193–206 | title = On the structure of the lattice of noncrossing partitions | volume = 98 | year = 1991}}.
| last = Simion | first = Rodica | doi = 10.1016/S0012-365X(99)00273-3 | issue = 1-3 | journal = Discrete Mathematics | mr = 1766277 | pages = 367–409 | title = Noncrossing partitions | volume = 217 | year = 2000}}. References1. ^{{citation|title=GW mourns after math professor passes away|first=Theresa|last=Crapanzano|date=January 20, 2000|journal=The GW Hatchet|url=http://www.gwhatchet.com/2000/01/20/gw-mourns-after-math-professor-passes-away/}}. {{Authority control}}{{DEFAULTSORT:Simion, Rodica}}2. ^1 2 3 4 5 6 7 {{citation|first=Richard P.|last=Stanley|authorlink=Richard P. Stanley|journal=Pi Mu Epsilon Journal|volume=11|year=2000|pages=83–86|title=Rodica Simion: January 18, 1955 – January 7, 2000|url=http://www-math.mit.edu/~rstan/papers/pimuep.pdf}}. 3. ^{{mathgenealogy|id=15214}} 4. ^1 {{citation|title=Rodica Simion (1955–2000)|first=Herbert|last=Wilf|authorlink=Herbert Wilf|url=http://www.math.upenn.edu/~wilf/Remembrances/Simion.html|publisher=Remarks at a special session of an AMS meeting in Washington, D.C.|date=January 2000}}. 5. ^{{citation | last = Sundaram | first = Sheila | doi = 10.1006/aama.2001.0785 | issue = 3-4 | journal = Advances in Applied Mathematics | mr = 1899997 | pages = 285–286 | title = Reminiscences of Rodica Simion | volume = 28 | year = 2002}}. 6. ^{{citation | last1 = Deutsch | first1 = Emeric | last2 = Elizalde | first2 = Sergi | doi = 10.1007/s00026-012-0129-6 | issue = 2 | journal = Annals of Combinatorics | mr = 2927606 | pages = 253–269 | title = Restricted simsun permutations | volume = 16 | year = 2012| arxiv = 0912.1361 }}. 7. ^{{citation | last = Bonin | first = Joseph E. | doi = 10.1006/aama.2001.0783 | issue = 3-4 | journal = Advances in Applied Mathematics | mr = 1899995 | pages = 280–281 | title = A remembrance of Rodica Simion | volume = 28 | year = 2002}}. 8. ^1 {{citation|title=RODICA SIMION (1955-2000): An (almost) Perfect Enumerator and Human Being|first=Doron|last=Zeilberger|authorlink=Doron Zeilberger|url=http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/simion.html|date=January 2000}}. 9. ^{{citation|first=Gil|last=Kalai|authorlink=Gil Kalai|title=Rodica Simion: Immigrant Complex|date=January 7, 2000|series=Combinatorics and more|url=http://gilkalai.wordpress.com/2010/01/07/rodica-simion-immigrant-complex/}}. 10. ^{{citation|title=Against infinity: an anthology of contemporary mathematical poetry|editor1-first=Ernest M.|editor1-last=Robson|editor2-first=Jet|editor2-last=Wimp|publisher=Primary Press|year=1979|isbn=9780934982016|pages=65–66}}. 14 : 1955 births|2000 deaths|Romanian mathematicians|20th-century American mathematicians|Romanian emigrants to the United States|American women mathematicians|Combinatorialists|University of Bucharest alumni|University of Pennsylvania alumni|Southern Illinois University faculty|Bryn Mawr College faculty|George Washington University faculty|20th-century women scientists|20th-century women mathematicians |
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