Maryanthe Malliaris

Maryanthe Elizabeth Malliaris is an American mathematician specializing in model theory. She works as an associate professor of mathematics at the University of Chicago.[1]

Education

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

As an undergraduate at Harvard University, Malliaris wrote for the Harvard Crimson,[3] contributed a biography of Polish socialist 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 Ph.D. in 2009 from the University of California, Berkeley under the supervision of Thomas Scanlon. Her dissertation was entitled Persistence and Regularity in Unstable Model Theory.[5]

Awards and honors

Malliaris won a Kurt Gödel Research Prize in 2010 for her work in unstable model theory.[6]

In 2017, she and Saharon Shelah shared the Hausdorff Medal of the European Set Theory Society for two joint papers connecting topology, set theory, and model theory. In this work, Malliaris and Shelah used Keisler's order, a construction from model theory, to prove the equality between two cardinal numbers, 𝔭 and 𝔱, which (if the continuum hypothesis is false) are intermediate between the smallest infinite cardinal and the cardinality of the continuum. This resolved a problem in set theory that had been open for 50 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][MS13][MS16]

Selected publications

ZB. Malliaris, Maryanthe (2003), "Zygmunt Bauman", in Taylor, Victor E.; Winquist, Charles E., 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, MR 3105597, doi:10.1073/pnas.1306114110 
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, MR 3402699, doi:10.1090/jams830 

References

  1. ↑ Faculty, University of Chicago Mathematics Department, accessed 2017-08-01.
  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. ↑ Final results of the Kurt Gödel Research Prize Fellowship 2010, Kurt Gödel Society, accessed 2017-08-01.
  7. ↑ Third Hausdorff Medal 2017, European Set Theory Society, July 5, 2017, retrieved 2017-08-01
  8. ↑ 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, MR 3105596, doi:10.1073/pnas.1310920110
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