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*[[Johns Hopkins University]]}}
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'''Emily Riehl''' is an American [[mathematician]] who has contributed to [[higher category theory]] and [[homotopy theory]]. Much of her work, including her PhD thesis,<ref>{{Cite journal|last=Riehl|first=Emily|date=2011|title=Algebraic model structures|url=http://emis.ams.org/journals/NYJM/j/2011/17-10v.pdf|journal=[[The New York Journal of Mathematics]]|volume=17|pages=173–231|mr=2781914}}</ref> concerns [[Model category|model structures]] and more recently the foundations of [[infinity-categories]].<ref name=phdplus>{{Cite web|url=https://blogs.ams.org/phdplus/2017/08/19/category-theory-and-context-an-interview-with-emily-riehl/|title=Category Theory and Context: An Interview with Emily Riehl|last=Malmskog|first=Beth|date=August 19, 2017|website=AMS Blogs|archive-url=https://web.archive.org/web/20180308161456/https://blogs.ams.org/phdplus/2017/08/19/category-theory-and-context-an-interview-with-emily-riehl/|archive-date=March 8, 2018|url-status=live|access-date=March 8, 2018}}</ref><ref>{{cite web|url=https://www.sciencefriday.com/articles/women-taking-math-next-dimension/ |title=The Women Taking Math To The Next Dimension |last=Young |first=Lauren J. |website=[[Science Friday]] |date=2017-11-17 |access-date=2018-03-08}}</ref> She is the author of two textbooks<ref name="AMS">{{Cite journal|last=Readdy|first=Margaret|last2=Taylor|first2=Christine|date=March 2018|title=Women's History Month|journal=[[Notices of the American Mathematical Society]]|volume=65|issue=3|pages=248–303|doi=10.1090/noti1653}}</ref><ref name="baez">{{cite web|url=http://math.ucr.edu/home/baez/books.html |title=How to Learn Math and Physics |first=John C. |last=Baez |author-link=John C. Baez |website=[[University of California, Riverside]] |access-date=2018-03-08 |date=2016-01-02}}</ref> and serves on the editorial boards of three journals.<ref>{{cite web|url=https://www.springer.com/mathematics/geometry/journal/40062/PS2?detailsPage=editorialBoard |title=Editorial board |website=Journal of Homotopy and Related Structures |publisher=[[Springer Science+Business Media|Springer]] |access-date=2018-03-08}}<br/>{{cite web|url=http://intlpress.com/site/pub/pages/journals/items/hha/_home/editorial/index.html |title=Editorial board |website=[[Homology, Homotopy and Applications]] |access-date=2018-03-08}}<br/>{{cite web|url=http://cahierstgdc.com/index.php/editorial-board/ |title=Editorial Board |website=[[Cahiers de Topologie et Géométrie Différentielle Catégoriques]] |access-date=2018-03-08}}</ref>
'''Emily Riehl''' is an American [[mathematician]] who has contributed to [[higher category theory]] and [[homotopy theory]]. Much of her work, including her PhD thesis,<ref>{{Cite journal|last=Riehl|first=Emily|date=2011|title=Algebraic model structures|url=http://emis.ams.org/journals/NYJM/j/2011/17-10v.pdf|journal=[[The New York Journal of Mathematics]]|volume=17|pages=173–231|mr=2781914}}</ref> concerns [[Model category|model structures]] and more recently the foundations of [[infinity-categories]].<ref name=phdplus>{{Cite web|url=https://blogs.ams.org/phdplus/2017/08/19/category-theory-and-context-an-interview-with-emily-riehl/|title=Category Theory and Context: An Interview with Emily Riehl|last=Malmskog|first=Beth|date=August 19, 2017|website=AMS Blogs|archive-url=https://web.archive.org/web/20180308161456/https://blogs.ams.org/phdplus/2017/08/19/category-theory-and-context-an-interview-with-emily-riehl/|archive-date=March 8, 2018|url-status=live|access-date=March 8, 2018}}</ref><ref>{{cite web|url=https://www.sciencefriday.com/articles/women-taking-math-next-dimension/ |title=The Women Taking Math To The Next Dimension |last=Young |first=Lauren J. |website=[[Science Friday]] |date=2017-11-17 |access-date=2018-03-08}}</ref> She is the author of two textbooks<ref name="AMS">{{Cite journal|last=Readdy|first=Margaret|last2=Taylor|first2=Christine|date=March 2018|title=Women's History Month|journal=[[Notices of the American Mathematical Society]]|volume=65|issue=3|pages=248–303|doi=10.1090/noti1653|doi-access=free}}</ref><ref name="baez">{{cite web|url=http://math.ucr.edu/home/baez/books.html |title=How to Learn Math and Physics |first=John C. |last=Baez |author-link=John C. Baez |website=[[University of California, Riverside]] |access-date=2018-03-08 |date=2016-01-02}}</ref> and serves on the editorial boards of three journals.<ref>{{cite web|url=https://www.springer.com/mathematics/geometry/journal/40062/PS2?detailsPage=editorialBoard |title=Editorial board |website=Journal of Homotopy and Related Structures |publisher=[[Springer Science+Business Media|Springer]] |access-date=2018-03-08}}<br/>{{cite web|url=http://intlpress.com/site/pub/pages/journals/items/hha/_home/editorial/index.html |title=Editorial board |website=[[Homology, Homotopy and Applications]] |access-date=2018-03-08}}<br/>{{cite web|url=http://cahierstgdc.com/index.php/editorial-board/ |title=Editorial Board |website=[[Cahiers de Topologie et Géométrie Différentielle Catégoriques]] |access-date=2018-03-08}}</ref>


==Education and career==
==Education and career==
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*{{cite journal|first=Mark|last=Bollman|title=none|journal=Mathematical Reviews|mr=3931738}}
*{{cite journal|first=Mark|last=Bollman|title=none|journal=Mathematical Reviews|mr=3931738}}
*{{cite journal|first=Ludwig|last=Paditz|title=none|journal=zbMATH|zbl=1423.00005}}
*{{cite journal|first=Ludwig|last=Paditz|title=none|journal=zbMATH|zbl=1423.00005}}
*{{cite journal|last=Nespolo|first=Massimo|date=November 2019|doi=10.1107/s1600576719014055|issue=6|journal=Journal of Applied Crystallography|pages=1467–1468|title=none|volume=52}}</ref>
*{{cite journal|last=Nespolo|first=Massimo|date=November 2019|doi=10.1107/s1600576719014055|issue=6|journal=Journal of Applied Crystallography|pages=1467–1468|title=none|volume=52|doi-access=free}}</ref>
* ''Elements of ∞-Category Theory'', with Dominic Verity (in preparation), [http://www.math.jhu.edu/~eriehl/elements.pdf online draft].
* ''Elements of ∞-Category Theory'', with Dominic Verity (in preparation), [http://www.math.jhu.edu/~eriehl/elements.pdf online draft].


Revision as of 15:52, 14 April 2020

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 American mathematician who has contributed to higher category theory and homotopy theory. Much of her work, including her PhD thesis,[1] concerns model structures and more recently the foundations of infinity-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

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

She attended Harvard University as an undergraduate; with Benedict Gross as a mentor, she wrote a senior thesis on local class field theory. She also headed the school rugby team and played viola in the Harvard–Radcliffe Orchestra.[9] After Harvard, she completed part III of the Maths Tripos at Cambridge.[4] She defended her doctoral dissertation, Algebraic model structures, at the University of Chicago in 2011, supervised by J. Peter May.[10]

Between 2011 and 2015, she held a position at Harvard University as a Benjamin Peirce Postdoctoral Fellow. Since 2015, she has been employed at Johns Hopkins University, where she became an associate professor in 2019. In addition, she teaches on edX and has hosted videos for Numberphile.[11][12]

In January 2020, she 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.[13]

Service and outreach

Riehl is a host of the n-Category Café, a blog on subjects related to category theory in mathematics, physics, and philosophy.[14] She is a board member of the mathematical association Spectra.[15]

Other activities

In addition to her mathematical work, Riehl has competed on the United States women's national Australian rules football team at the Australian Football International Cup,[2][16] and was vice captain of the team at the 2017 cup.[17]

While working as a postdoctoral researcher at Harvard, she played electric bass in the band Unstraight.[2][18] She has also written about "unstraightening" in her mathematical research.[19]

Books

Riehl is the author of three books, with a fourth in preparation:

  • Categorical Homotopy Theory (2014)[20]
  • Category Theory in Context (2016)[21]
  • Fat Chance: Probability from 0 to 1, with Benedict Gross and Joe Harris (2019)[22]
  • Elements of ∞-Category Theory, with Dominic Verity (in preparation), online draft.

References

  1. ^ Riehl, Emily (2011). "Algebraic model structures" (PDF). The New York Journal of Mathematics. 17: 173–231. MR 2781914.
  2. ^ a b c Malmskog, Beth (August 19, 2017). "Category Theory and Context: An Interview with Emily Riehl". AMS Blogs. Archived from the original on March 8, 2018. Retrieved March 8, 2018.
  3. ^ Young, Lauren J. (2017-11-17). "The Women Taking Math To The Next Dimension". Science Friday. Retrieved 2018-03-08.
  4. ^ a b Readdy, 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. Retrieved 2018-03-08.
  6. ^ "Editorial board". Journal of Homotopy and Related Structures. Springer. Retrieved 2018-03-08.
    "Editorial board". Homology, Homotopy and Applications. Retrieved 2018-03-08.
    "Editorial Board". Cahiers de Topologie et Géométrie Différentielle Catégoriques. Retrieved 2018-03-08.
  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. Retrieved March 8, 2018.
  9. ^ Widdicombe, Elizabeth S. (May–June 2006). "Emily Riehl". Stellar Seniors. Harvard Magazine.
  10. ^ Emily Riehl at the Mathematics Genealogy Project
  11. ^ "Emily Riehl, Harvard Online Learning Portal". Harvard University. Retrieved 2018-03-08.
  12. ^ "Numberphile – Videos about Numbers and Stuff". Numberphile. Retrieved 2018-03-08.
    "Stable Marriage Problem – Numberphile". YouTube. 2014-09-04. Retrieved 2018-03-08.
  13. ^ Sandy Alexander (January 16, 2020), Mathematician Emily Riehl earns President's Frontier Award, Hub –Johns Hopkins University
  14. ^ "The n-Category Café". Retrieved 7 October 2019.
  15. ^ "Spectra: The Association for LGBT Mathematicians". Retrieved 7 October 2019.
  16. ^ Holt, Stephanie (2013-05-17). "Footy Town: Kick like a girl, score like a lady". The Footy Almanac. Retrieved 2018-03-08.
  17. ^ Barrish, Brian (July 31, 2017). "Freedom Captains Ready for IC Challenge". United States Australian Football League.
  18. ^ "Interview: LGBT movement and feminism with queer band Unstraight". Highclouds. 2017-02-15. Retrieved 2018-03-08.
  19. ^ Riehl, Emily; Verity, Dominic (2018), "The comprehension construction", Higher Structures, 2 (1): 116–190, arXiv:1706.10023, Bibcode:2017arXiv170610023R, MR 3917428
  20. ^ Riehl, Emily (2014). Categorical Homotopy Theory. New Mathematical Monographs. Vol. 24. Cambridge: Cambridge University Press. ISBN 9781107048454. OCLC 891831279. (book website with downloadable pdf). Reviews:
  21. ^ Riehl, Emily (2016). Category Theory in Context. Courier Dover Publications. ISBN 9780486809038. OCLC 1006743127. (book website with downloadable pdf). Review:
  22. ^ Gross, Benedict; Harris, Joe; Riehl, Emily (2019). Fat Chance: Probability from 0 to 1. Cambridge University Press. Reviews:
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