Andrew Booker (mathematician)

Andrew Richard Booker (born 1976)[1] is a British mathematician who is currently Professor of Pure Mathematics at the University of Bristol.[2] He is an analytic number theorist known for his work on L-functions of automorphic forms[3] and his contributions to the sums of three cubes problem.[4][5]

Andrew Booker
Born1976
Nationality United Kingdom
Alma mater
Scientific career
FieldsMathematics
InstitutionsUniversity of Bristol
ThesisNumerical Tests of Modularity (2003)
Doctoral advisorPeter Sarnak

Education

Booker graduated from the University of Virginia in 1998, earning the E.J. McShane Prize as the top undergraduate in mathematics.[6]. He completed his doctoral degree at Princeton University in 2003, under the supervision of Peter Sarnak.[7]

Contributions

In the spring of 2019 Booker gained international attention by showing that 33 can be expressed as the sum of three cubes.[4][8][9][10] At that time 33 and 42 were the only numbers less than 100 for which this problem was open. Later that year, in joint work with Andrew Sutherland of MIT, he settled the case of 42,[11][12] as well as answering a 65-year-old question of Mordell by finding a third representation for 3 as the sum of three cubes.[13] Popular Mechanics cited the result for 42 as one of the top two mathematical breakthroughs of 2019.[5][14]

Video appearances

Numberphile has produced three YouTube videos related to sums of three cubes in which Andrew Booker is the featured guest:

As of February, 2020 these videos had accumulated a total of more than one million views.[15]

Selected publications
  • Booker, Andrew R. (2003). "Poles of Artin L-functions and the strong Artin conjecture". Annals of Mathematics. 158 (3): 1089–1098. doi:10.4007/annals.2003.158.1089. MR 2031863. Zbl 1081.11038.
  • Booker, Andrew R.; Strömbergsson, Andreas; Venkatesh, Akshay (2006). "Effective computation of Maass cusp forms". International Mathematics Research Notices (71281): 34. doi:10.1155/IMRN/2006/71281. MR 2249995. Zbl 1154.11018.
  • Booker, Andrew R. (2019). "Cracking the problem with 33". Research in Number Theory. 5 (3): 26. arXiv:1903.04284. doi:10.1007/s40993-019-0162-1. ISSN 2522-0160.

References
  1. "Booker, Andrew R., 1976-". viaf.org. Retrieved 13 February 2020.
  2. Professor Andrew Booker, University of Bristol, retrieved February 12, 2020
  3. Glimpses of a new (mathematical) world, American Institute of Mathematics, 2008
  4. Georgiou, Aristos (April 3, 2019), "The uncracked problem with 33: Mathematician solves 64-year-old 'Diophantine puzzle'", Newsweek
  5. Popular Mechanics honors Ken Ono and Andrew Booker for the top two math breakthroughs in 2019, University of Virginia, January 7, 2020, retrieved February 12, 2020
  6. Undergraduate Awards, University of Virginia, retrieved February 12, 2020
  7. Andrew R.Booker, Mathematics Genealogy Project, retrieved February 12, 2020
  8. Booker, Andrew R. (2019), "Cracking the problem with 33", Research in Number Theory, 5 (26), arXiv:1903.04284, doi:10.1007/s40993-019-0162-1, MR 3983550 }}
  9. Pavlus, John (March 10, 2019), "Sum-of-Three-Cubes Problem Solved for 'Stubborn' Number 33", Quanta Magazine
  10. Lu, Donna (March 14, 2019), "Mathematician cracks centuries-old problem about the number 33", New Scientist
  11. Sum of three cubes for 42 finally solved – using real life planetary computer, University of Bristol, September 6, 2019
  12. Miller, Sandi (September 10, 2019), "The answer to life, the universe, and everything: Mathematics researcher Drew Sutherland helps solve decades-old sum-of-three-cubes puzzle, with help from "The Hitchhiker's Guide to the Galaxy."", MIT News, Massachusetts Institute of Technology
  13. Lu, Donna (September 18, 2019), "Mathematicians find a completely new way to write the number 3", New Scientist
  14. Linkletter, Dave (December 27, 2019), "The 10 Biggest Math Breakthroughs of 2019", Popular Mechanics
  15. Numberphile channel, YouTube, retrieved 14 February 2020
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