Biography:Marcia Groszek
Marcia Jean Groszek is an American mathematician whose research concerns mathematical logic, set theory, forcing, and recursion theory. She is a professor of mathematics at Dartmouth College.[1]
Education
As a high school student, Groszek felt isolated for her interest in mathematics, but she found a sense of community through her participation in the Hampshire College Summer Mathematics Program,[2] and she went on to earn her bachelor's degree at Hampshire College.[1] She completed her Ph.D. in 1981 at Harvard University. Her dissertation, Iterated Perfect Set Forcing and Degrees of Constructibility, was supervised by Akihiro Kanamori.[3]
Research
With Theodore Slaman, Groszek showed that (if they exist at all) non-constructible real numbers must be widespread, in the sense that every perfect set contains one of them, and they asked analogous questions of the non-computable real numbers.[4][C] With Slaman, she has also shown that the existence of a maximally independent set of Turing degrees, of cardinality less than the cardinality of the continuum, is independent of ZFC.[A]
In the theory of ordinal definable sets, an unordered pair of sets is said to be a Groszek–Laver pair if the pair is ordinal definable but neither of its two elements is; this concept is named for Groszek and Richard Laver, who observed the existence of such pairs in certain models of set theory.[5][B]
Service and outreach
Groszek was program chair of the 2014 North American annual meeting of the Association for Symbolic Logic.[6] Her interest in logic extends to education as well as to research; she has participated in the Association for Symbolic Logic Committee on Logic Education,[7] and in 2011 she was co-organizer of an Association for Symbolic Logic special session on "Logic in the Undergraduate Mathematics Curriculum".[8] With mathematics colleague Dorothy Wallace and performance artist Josh Kornbluth, Groszek has also helped write and produce a sequence of educational videos about mathematics.[9]
Selected publications
| A. | Groszek, Marcia J.; Slaman, Theodore A. (1983), "Independence results on the global structure of the Turing degrees", Transactions of the American Mathematical Society 277 (2): 579–588, doi:10.2307/1999225 |
| B. | Groszek, M. (1987), "Finite groups of OD-conjugates", Periodica Mathematica Hungarica 18 (2): 87–97, doi:10.1007/BF01896284 |
| C. | Groszek, Marcia J. (1998), "A basis theorem for perfect sets", The Bulletin of Symbolic Logic 4 (2): 204–209, doi:10.2307/421023 |
References
- ↑ 1.0 1.1 "Marcia J. Groszek", Faculty directory (Dartmouth College), https://faculty-directory.dartmouth.edu/marcia-j-groszek, retrieved 2019-08-18
- ↑ Henrion, Claudia (1997), Women in Mathematics: The Addition of Difference, Indiana University Press, pp. xiii, 10, 16–17, 76, 81, 274, ISBN 9780253114990, https://books.google.com/books?id=uQsxhvZr12QC&pg=PR13
- ↑ Marcia Groszek at the Mathematics Genealogy Project
- ↑ Lewis, Andrew E. M. (2008), "On a question of Slaman and Groszek", Proceedings of the American Mathematical Society 136 (10): 3663–3668, doi:10.1090/S0002-9939-08-09345-3
- ↑ Golshani, Mohammad; Kanovei, Vladimir; Lyubetsky, Vassily (2017), "A Groszek–Laver pair of undistinguishable [math]\displaystyle{ \mathsf{E}_0 }[/math]-classes", Mathematical Logic Quarterly 63 (1–2): 19–31, doi:10.1002/malq.201500020
- ↑ "ASL Meetings", ASL Newsletter (Association for Symbolic Logic): 3–5, November 2013, http://aslonline.org/files/newsletters/pdfs/Nov2013Newsletter.pdf, retrieved 2019-08-30
- ↑ "Marcia Groszek", Math is Power: the newsletter of the Dartmouth College Department of Mathematics: 4, September 2012, https://math.dartmouth.edu/publicity/newsletter/MathNews2012-old.pdf
- ↑ Logic in the Undergraduate Mathematics Curriculum, ASL Committee on Logic Education, https://www.ucalgary.ca/aslcle/nola11, retrieved 2019-08-18
- ↑ Thrall, Erica (September 23, 1997), "Videos highlight math series", The Dartmouth, https://www.thedartmouth.com/article/1997/09/videos-highlight-math-series, retrieved 2019-08-18
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