Maryanthe Malliaris

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

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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, by showing that SOP2 theories are maximal 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] She received the Quantrell Award. [12]

Selected publications

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. 1 2 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. 1 2 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.
  12. ↑ "Llewellyn John and Harriet Manchester Quantrell Awards for Excellence in Undergraduate Teaching". UChicago.
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