Maryam Mirzakhani has died today. She was 40 years old. From Stanford News: “A self-professed “slow” mathematician, Mirzakhani’s colleagues describe her as ambitious, resolute and fearless in the face of problems others would not, or could not, tackle. She denied herself the easy path, choosing instead to tackle thornier issues. Her preferred method of working on a problem was to doodle on large sheets of white paper, scribbling formulas on the periphery of her drawings. Her young daughter described her mother at work as “painting.” “You have to spend some energy and effort to see the beauty of math,” she told one reporter. In another interview, she said of her process: “I don’t have any particular recipe [for developing new proofs] … It is like being lost in a jungle and trying to use all the knowledge that you can gather to come up with some new tricks, and with some luck you might find a way out.”
In her honor, I am reposting a 2014 post from this blog. Sources: Wikepedia. Article on Maryam Mirzakhani in the Guardian. Article and video in Quanta Magazine.
Jordan Ellenberg‘s popular explanation of what earned Mirzakhani the Fields Medal in 2014: “… [Her] work expertly blends dynamics with geometry. Among other things, she studies billiards. But now, in a move very characteristic of modern mathematics, it gets kind of meta: She considers not just one billiard table, but the universe of all possible billiard tables. And the kind of dynamics she studies doesn’t directly concern the motion of the billiards on the table, but instead a transformation of the billiard table itself, which is changing its shape in a rule-governed way; if you like, the table itself moves like a strange planet around the universe of all possible tables … This isn’t the kind of thing you do to win at pool, but it’s the kind of thing you do to win a Fields Medal. And it’s what you need to do in order to expose the dynamics at the heart of geometry; for there’s no question that they’re there.”
One of 10 people who mattered this year in science: Nature, volume 516, issue 7531, 17 December 2014. 2017 obituary in the New Yorker.
Andrew McKenzie (University of Kansas) has been awarded a 3-year NSF (National Science Foundation) grant for “Investigations in the Semantics of Kiowa, a Native American Language of Oklahoma.” The grant description explains how research in semantics can have a big impact on Native American communities. Andrew McKenzie is a linguist specializing in formal semantics and linguistic fieldwork, with a focus on Native American languages, especially Kiowa.
Photo: Marianne McKenzie
From the grant description published by the NSF: “Led by a linguist who is also a tribal member, this project will conduct an in-depth investigation into Kiowa semantics. Semantics forms a crucial component of language, but linguists have not thoroughly documented any language’s semantics with depth and precision, because the theoretical framework to do so was only recently developed. This project will apply this framework of language documentation, in order to uncover the semantics of phenomena crucial to the Kiowa language. The investigators will elicit language judgments from native speakers of the language, which can tease apart subtle aspects of meaning that are often impossible for speakers to define with words. The project will also record and examine new texts that document naturalistic language use, especially in cultural domains under-represented by currently available Kiowa texts. Kiowa grammar includes multiple areas of interest to formal semantics, such as evidentiality, modality, incorporation, quantification, and degree, all of which are also important areas for learners to acquire. This project will result in a reference grammar and teaching materials that will greatly aid these programs by covering the areas in semantics that remain poorly understood by teachers and researchers. This reference grammar will also serve as a manual for researchers of other Native American languages, especially those who are not trained in this research framework. This study will offer new insight for researchers on dozens of phenomena that occur in many languages besides Kiowa. In doing so, it will re-emphasize the longstanding contribution of Native American languages to linguistics, a scientific understanding of what is possible in human language, and thus a deeper understanding of what is possible in the human mind.”