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Emily Riehl

From Wikipedia, the free encyclopedia
American mathematician
Emily Riehl
Emily Riehl in 2014
Born
Thousand Oaks, California, US
Alma mater
Scientific career
FieldsMathematics
Institutions
Thesis Algebraic model structures (2011)
Doctoral advisorJ. Peter May

Emily Riehl is an Americanmathematician who has contributed tohigher category theory andhomotopy theory. Much of her work, including her PhD thesis,[1] concernsmodel structures and more recently the foundations ofinfinity-categories.[2][3] She is the author of two textbooks[4][5] and serves on the editorial boards of three journals.[6]

Education and career

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Riehl grew up inBloomington-Normal, Illinois.[7]As a high school student atUniversity High School in Normal in 2002, she won third place in the nationalIntel Science Talent Search for a project in mathematics entitled "On the Properties of Tits Graphs".[8]

Riehl attendedHarvard University as an undergraduate; withBenedict Gross as a mentor, she wrote a senior thesis onlocal class field theory. She also headed the schoolrugby team (in which she played as ascrum-half) and played viola in the Harvard–Radcliffe Orchestra.[9] After Harvard, she completedpart III of the Maths Tripos at Cambridge.[4] She defended her doctoral dissertation,Algebraic model structures, at theUniversity of Chicago in 2011, supervised byJ. Peter May.[10]

Between 2011 and 2015, Riehl held a position at Harvard University as a Benjamin Peirce Postdoctoral Fellow. Since 2015, she has been employed atJohns Hopkins University, where she became anassociate professor in 2019. She became a full professor in 2022, and was appointed to JHU'sKelly Miller professorship of mathematics in July 2024.[11]

In addition, she teaches onedX and has hosted videos forNumberphile.[12][13] Along with Benedict Gross and Joe Harris, she developed a Harvard course on edX titled "Fat Chance: Probability from the Ground Up".[14]

Honors and awards

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In January 2020, Riehl received the JHU President's Frontier Award, a $250,000 award that "supports individuals at Johns Hopkins who are breaking new ground and poised to become leaders in their field". She is the sixth JHU faculty member to receive the award.[15]

Riehl was awarded the 2021 AWMJoan & Joseph Birman Research Prize "for her deep and foundational work in category theory and homotopy theory."[16][17] She is the fourth winner of this prize. She was named a Fellow of theAmerican Mathematical Society, in the 2022 class of fellows, "for contributions to research, exposition, and communication in higher category theory".[18] In 2022 she was awarded aSimons Fellowship.[19]

Service and outreach

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Riehl is a host of the n-Category Café, a blog on subjects related to category theory in mathematics, physics, and philosophy.[20] She was a board member of the LGBT mathematical associationSpectra.[21]

Other activities

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In addition to her mathematical work, Riehl has competed on theUnited States women's national Australian rules football team at theAustralian Football International Cup,[2][22] and was vice captain of the team at the 2017 cup.[23]

She playsviola,guitar, and formerly playedbass guitar in the band Unstraight.[24][25][26]

Books

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References

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  1. ^Riehl, Emily (2011)."Algebraic model structures"(PDF).The New York Journal of Mathematics.17:173–231.MR 2781914. Archived fromthe original(PDF) on 2022-01-27. Retrieved2022-04-29.
  2. ^abMalmskog, Beth (August 19, 2017)."Category Theory and Context: An Interview with Emily Riehl".AMS Blogs.Archived from the original on March 8, 2018. RetrievedMarch 8, 2018.
  3. ^Young, Lauren J. (2017-11-17)."The Women Taking Math To The Next Dimension".Science Friday. Retrieved2018-03-08.
  4. ^abReaddy, Margaret; Taylor, Christine (March 2018)."Women's History Month".Notices of the American Mathematical Society.65 (3):248–303.doi:10.1090/noti1653.
  5. ^Baez, John C. (2016-01-02)."How to Learn Math and Physics".University of California, Riverside. Retrieved2018-03-08.
  6. ^"Editorial board".Journal of Homotopy and Related Structures.Springer. Archived fromthe original on 2018-03-09. Retrieved2018-03-08.
    "Editorial board".Homology, Homotopy and Applications. Retrieved2018-03-08.
    "Editorial Board".Cahiers de Topologie et Géométrie Différentielle Catégoriques. Retrieved2018-03-08.
  7. ^Perkins, S. (16 March 2002). "Science Smarts".Science News.161 (11):165–166.doi:10.2307/4013075.JSTOR 4013075.
  8. ^"Students Awarded $530,000 At Intel Science Talent Search". Intel. March 11, 2002. RetrievedMarch 8, 2018.
  9. ^Widdicombe, Elizabeth S. (May–June 2006)."Emily Riehl". Stellar Seniors.Harvard Magazine.
  10. ^Emily Riehl at theMathematics Genealogy Project
  11. ^"CV".
  12. ^"Emily Riehl, Harvard Online Learning Portal".Harvard University. 28 February 2018. Retrieved2018-03-08.
  13. ^"Numberphile – Videos about Numbers and Stuff".Numberphile. Archived fromthe original on 2018-07-15. Retrieved2018-03-08.
    "Stable Marriage Problem – Numberphile".YouTube. 2014-09-04. Retrieved2018-03-08.
  14. ^"Fat Chance: Probability from the Ground Up".edX. Retrieved2020-07-29.
  15. ^Sandy Alexander (January 16, 2020)."Mathematician Emily Riehl earns President's Frontier Award". Hub –Johns Hopkins University.
  16. ^"AWM Joan & Joseph Birman Research Prizes".
  17. ^"Joan and Joseph Birman Research Prize 2021".
  18. ^"2022 Class of Fellows of the AMS". American Mathematical Society. Retrieved2021-11-05.
  19. ^"2022 Simons Fellows in Mathematics and Theoretical Physics Announced".Simons Foundation. 2022-02-18. Retrieved2022-07-04.
  20. ^"The n-Category Café". Retrieved7 October 2019.
  21. ^"Spectra: The Association for LGBT Mathematicians". Retrieved20 August 2022.
  22. ^Holt, Stephanie (2013-05-17)."Footy Town: Kick like a girl, score like a lady".The Footy Almanac. Retrieved2018-03-08.
  23. ^Barrish, Brian (July 31, 2017)."Freedom Captains Ready for IC Challenge". United States Australian Football League.
  24. ^"Interview: LGBT movement and feminism with queer band Unstraight".Highclouds. 2017-02-15. Retrieved2018-03-08.
  25. ^Keiger, Dale (Winter 2021)."The mathematic mind of Emily Riehl".Johns Hopkins Magazine. Retrieved2025-11-15.
  26. ^"2021 AWM Annual Meeting Prizes"(PDF). Mathematics People.Notices of the American Mathematical Society.68 (5):827–828. May 2021.
  27. ^Riehl, Emily (2014).Categorical Homotopy Theory. New Mathematical Monographs. Vol. 24. Cambridge:Cambridge University Press.ISBN 978-1-107-04845-4.OCLC 891831279. (book website with downloadable pdf). Reviews:
  28. ^Riehl, Emily (2016).Category Theory in Context. Courier Dover Publications.ISBN 978-0-486-80903-8.OCLC 1006743127. (book website with downloadable pdf). Review:
  29. ^Gross, Benedict;Harris, Joe; Riehl, Emily (2019).Fat Chance: Probability from 0 to 1. Cambridge University Press. Reviews:
  30. ^Riehl, Emily; Verity, Dominic (2022).Elements of ∞-Category Theory. Cambridge University Press.doi:10.1017/9781108936880.ISBN 978-1-108-93688-0. See alsoonline draftArchived 2023-04-16 at theWayback Machine. Reviews:

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