Michael Harris
Born
Michael Howard Harris

1954 (age 69–70)
Philadelphia, USA
Alma materHarvard University
Princeton University
AwardsSophie Germain Prize (2006)
Clay Research Award (joint, 2007)
Grand Prix Scientifique de la Fondation Simone et Cino del Duca (2009)
Member of the Academia Europaea (2016)
Fellow of the American Mathematical Society (2019)
Member of the American Academy of Arts and Sciences (2019)
Member of the National Academy of Sciences (2022)
Scientific career
FieldsMathematics
InstitutionsColumbia University
Paris Diderot University
Brandeis University
ThesisOn p-Adic Representations Arising from Descent on Abelian Varieties (1977)
Doctoral advisorBarry Mazur
Doctoral studentsLaurent Fargues

Michael Howard Harris (born 1954) is an American mathematician known for his work in number theory. He is a professor of mathematics at Columbia University and professor emeritus of mathematics at Université Paris Cité.

Early life and education

Harris was born in Kingsessing, Philadelphia, Pennsylvania[1] and is of Jewish descent.[2] He received his B.A. in mathematics from Princeton University in 1973.[3] He received his M.A. and Ph.D. in mathematics from Harvard University under the supervision of Barry Mazur in 1976 and 1977 respectively.[3][4]

Career

Harris was a faculty member at Brandeis University from 1977 to 1994.[3] In 1994, he became a professor of mathematics at Paris Diderot University and the Institut de mathématiques de Jussieu – Paris Rive Gauche, where he has been emeritus since 2021.[3][5] He became a professor of mathematics at Columbia University in 2013.[3]

He was a member of the Institute for Advanced Study from 1983 to 1984 and in the fall of 2011.[6] He has held visiting positions at various institutions, including Bethlehem University, the Steklov Institute of Mathematics, the Institut des Hautes Études Scientifiques, Oxford University, and the Mathematical Sciences Research Institute.[3]

His former doctoral students include Laurent Fargues and Gaëtan Chenevier.[4]

Work

Research

Harris's research focuses on arithmetic geometry, automorphic forms, L-functions, and motives.[7] He has developed the theory of coherent cohomology of Shimura varieties and applied it to number theoretic problems on special values of L-functions, Galois representations, and the theta correspondence.[1] His later work focuses on geometric aspects of the Langlands program.[1]

In 2001, Harris and Richard Taylor proved the local Langlands conjecture for GL(n) over a p-adic local field [8] The Sato–Tate conjecture and its generalization to all totally real fields was proved by Laurent Clozel, Harris, Nicholas Shepherd-Barron, and Richard Taylor under mild assumptions in 2008,[9][10][11] and completed by Thomas Barnet-Lamb, David Geraghty, Harris, and Taylor in 2011.[12]

Mathematics without Apologies

Harris wrote the book Mathematics without Apologies: Portrait of a Problematic Vocation, published in 2015.[13][14][15][16]

Silicon Reckoner

Since 2021, Harris has written the newsletter Silicon Reckoner exploring questions and issues related to the mechanization of mathematics and artificial intelligence.[17]

Recognition

Harris received the Sophie Germain Prize (2006),[3] the Clay Research Award (joint with Richard Taylor, 2007),[1][18] the Grand Prix Scientifique de la Fondation Simone et Cino del Duca (2009),[3] He is a three-time invited speaker at the International Congress of Mathematicians (2000, 2002, 2014).[3]

He was a Sloan Research Fellow (1983–1985) and a member of the Institut Universitaire de France (2001–2011)[3][1] He has been elected a Member of the Academia Europaea (2016),[3] Fellow of the American Mathematical Society (2019),[3][7], Member of the American Academy of Arts and Sciences (2019),[3] and Member of the National Academy of Sciences (2022).[1][3]

References

  1. 1 2 3 4 5 6 "Michael Harris". National Academy of Sciences. National Academy of Sciences. Retrieved June 24, 2023.
  2. ↑ Harris, Michael (2015). Mathematics without Apologies: Portrait of a Problematic Vocation. Princeton University Press. p. 373. ISBN 9780691154237.
  3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Harris, Michael. "CV". Michael Harris. Retrieved July 24, 2023.
  4. 1 2 Michael Harris at the Mathematics Genealogy Project
  5. ↑ "Emérites". Institut de mathématiques de Jussieu – Paris Rive Gauche. Institut de mathématiques de Jussieu – Paris Rive Gauche. Retrieved June 24, 2023.
  6. ↑ "Michael Harris". Institute for Advanced Study. Institute for Advanced Study. Retrieved June 24, 2023.
  7. 1 2 "2019 Class of the Fellows of the AMS". American Mathematical Society. American Mathematical Society. Retrieved June 24, 2023.
  8. ↑ Harris, Michael; Taylor, Richard (2001), The geometry and cohomology of some simple Shimura varieties, ISBN 978-0-691-09092-4, MR 1876802
  9. ↑ Taylor, Richard (2008). "Automorphy for some l-adic lifts of automorphic mod l Galois representations. II". Publ. Math. Inst. Hautes Études Sci. 108: 183–239. CiteSeerX 10.1.1.116.9791. doi:10.1007/s10240-008-0015-2. MR 2470688.
  10. ↑ Clozel, Laurent; Harris, Michael; Taylor, Richard (2008). "Automorphy for some l-adic lifts of automorphic mod l Galois representations". Publ. Math. Inst. Hautes Études Sci. 108: 1–181. CiteSeerX 10.1.1.143.9755. doi:10.1007/s10240-008-0016-1. MR 2470687.
  11. ↑ Harris, Michael; Shepherd-Barron, Nicholas; Taylor, Richard (2010), "A family of Calabi–Yau varieties and potential automorphy", Annals of Mathematics, 171 (2): 779–813, doi:10.4007/annals.2010.171.779, MR 2630056
  12. ↑ Barnet-Lamb, Thomas; Geraghty, David; Harris, Michael; Taylor, Richard (2011). "A family of Calabi–Yau varieties and potential automorphy. II". Publ. Res. Inst. Math. Sci. 47 (1): 29–98. doi:10.2977/PRIMS/31. MR 2827723.
  13. ↑ Harris, Michael (2015). Mathematics without apologies : portrait of a problematic vocation. Princeton University Press. ISBN 978-1-4008-5202-4. OCLC 900080550.
  14. ↑ McCleary, John (November 2018). "Review of Mathematics without Apologies: Portrait of a Problematic Vocation by Michael Harris" (PDF). Notices of the AMS.
  15. ↑ Alexander, Amir (4 March 2015). "Mathematics: Groping in the dark for glimpses of beauty (joint review of Birth of a Theorem by Cédric Villani and Mathematics without Apologies by Michael Harris)". Nature. 519 (7541): 31–32. doi:10.1038/519031a. (See Cédric Villani.)
  16. ↑ Hunacek, Michael (August 4, 2015). "review of Mathematics without Apologies". MAA Reviews.
  17. ↑ Harris, Michael. "About Silicon Reckoner".
  18. ↑ "Clay Award". Archived from the original on 2012-03-16. Retrieved 2011-06-01.
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