Maryanthe Malliaris

Maryanthe Elizabeth Malliaris is a professor of mathematics at the University of Chicago,[1] a specialist in model theory.

Early life and education

Malliaris is the daughter of Anastasios G. (Tassos) Malliaris, an economist at Loyola University Chicago, and Mary E. Malliaris, Professor of Information Systems at Loyola.[2]

As an undergraduate at Harvard College, Malliaris wrote for the Harvard Crimson,[3] contributed a biography of Polish sociologist Zygmunt Bauman to the Encyclopedia of Postmodernism,[ZB] and worked for a startup called Zaps.[4]

She graduated from Harvard in 2001 with a concentration in mathematics,[4] and earned her PhD in 2009 from the University of California, Berkeley under the supervision of Thomas Scanlon. Her dissertation was Persistence and Regularity in Unstable Model Theory.[5]

Research

In her dissertation and postdoctoral research, Malliaris studied unstable model theory and its connection, via characteristic sequences, to graph theoretic concepts such as the Szemerédi regularity lemma.[6]

She is also known for two joint papers with Saharon Shelah connecting topology, set theory, and model theory.[MS13][MS16] In this work, Malliaris and Shelah used Keisler's order, a construction from model theory, to prove the equality between two cardinal characteristics of the continuum, 𝖕 and 𝖙, which are greater than the smallest infinite cardinal and less than or equal to the cardinality of the continuum. This resolved a problem in set theory that had been open for fifty years. Their work also solved another problem that had been open almost as long, by characterizing the maximal theories in Keisler's order.[7][8][9]

Awards and honors

Malliaris won a Kurt Gödel Research Prize in 2010 for her work in unstable model theory.[10]

In 2017, she and Saharon Shelah shared the Hausdorff Medal of the European Set Theory Society for their joint papers.[8]

She was an invited speaker at the 2018 International Congress of Mathematicians.[11]

Selected publications

ZB.
Malliaris, Maryanthe (2003), "Zygmunt Bauman", in Taylor, Victor E.; Winquist, Charles E. (eds.), Encyclopedia of Postmodernism, Psychology Press, pp. 30–31, ISBN 9780415308861
MS13.
Malliaris, Maryanthe; Shelah, Saharon (2013), "General topology meets model theory, on 𝔭 and 𝔱", Proceedings of the National Academy of Sciences of the United States of America, 110 (33): 13300–13305, Bibcode:2013PNAS..11013300M, doi:10.1073/pnas.1306114110, MR 3105597, PMC 3746882, PMID 23836659
MS16.
Malliaris, M.; Shelah, S. (2016), "Cofinality spectrum theorems in model theory, set theory, and general topology", Journal of the American Mathematical Society, 29 (1): 237–297, arXiv:1208.5424, doi:10.1090/jams830, MR 3402699, S2CID 13182394

References

  1. ^ Faculty, University of Chicago Mathematics Department, accessed 2021-02-09.
  2. ^ Dedication in A. G. Malliaris's book Economic Uncertainty, Instabilities and Asset Bubbles (2005).
  3. ^ Writer profile, Harvard Crimson, accessed 2017-08-01.
  4. ^ a b Fowler, Geoffrey A. (March 1, 2000), "Why Not.com", John Harvard's Journal, Harvard Magazine
  5. ^ Maryanthe Malliaris at the Mathematics Genealogy Project
  6. ^ Award Abstract #1001666: Unstable Model Theory, National Science Foundation, April 30, 2010
  7. ^ Hartnett, Kevin (September 12, 2017), "Mathematicians Measure Infinities, Find They're Equal", Quanta Magazine
  8. ^ a b Third Hausdorff Medal 2017, European Set Theory Society, July 5, 2017, retrieved 2017-08-01
  9. ^ Moore, Justin Tatch (2013), "Model theory and the cardinal numbers 𝔭 and 𝔱", Proceedings of the National Academy of Sciences of the United States of America, 110 (33): 13238–13239, doi:10.1073/pnas.1310920110, MR 3105596, PMC 3746849, PMID 23893298
  10. ^ Final results of the Kurt Gödel Research Prize Fellowship 2010, Kurt Gödel Society, accessed 2017-08-01.
  11. ^ 2018 ICM Invited Section Lectures Archived 2018-12-08 at the Wayback Machine, accessed 2017-09-20.