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词条 Rodica Simion
释义

  1. Biography

  2. Research contributions

  3. Other activities

  4. Selected publications

  5. References

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.

Biography

Simion 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 contributions

Simion'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 activities

Simion 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

  • {{citation

| 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}}.
  • {{citation

| 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}}.
  • {{citation

| 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}}.
  • {{citation

| 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}}.

References

1. ^{{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/}}.
2. ^{{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. ^{{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. ^{{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}}.
{{Authority control}}{{DEFAULTSORT:Simion, Rodica}}

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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