Andrew Booker | |
---|---|
Born | 1976 |
Nationality | British |
Alma mater | |
Scientific career | |
Fields | Mathematics |
Institutions | University of Bristol |
Thesis | Numerical Tests of Modularity (2003) |
Doctoral advisor | Peter Sarnak |
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]
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]
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]
Numberphile has produced three YouTube videos related to sums of three cubes in which Andrew Booker is the featured guest:
As of January 2023 these videos had accumulated a total of almost two million views. [15]
John Horton Conway was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He also made contributions to many branches of recreational mathematics, most notably the invention of the cellular automaton called the Game of Life.
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Ronald Lewis Graham was an American mathematician credited by the American Mathematical Society as "one of the principal architects of the rapid development worldwide of discrete mathematics in recent years". He was president of both the American Mathematical Society and the Mathematical Association of America, and his honors included the Leroy P. Steele Prize for lifetime achievement and election to the National Academy of Sciences.
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Klaus Friedrich Roth was a German-born British mathematician who won the Fields Medal for proving Roth's theorem on the Diophantine approximation of algebraic numbers. He was also a winner of the De Morgan Medal and the Sylvester Medal, and a Fellow of the Royal Society.
Richard Kenneth Guy was a British mathematician. He was a professor in the Department of Mathematics at the University of Calgary. He is known for his work in number theory, geometry, recreational mathematics, combinatorics, and graph theory. He is best known for co-authorship of Winning Ways for your Mathematical Plays and authorship of Unsolved Problems in Number Theory. He published more than 300 scholarly articles. Guy proposed the partially tongue-in-cheek "strong law of small numbers", which says there are not enough small integers available for the many tasks assigned to them – thus explaining many coincidences and patterns found among numerous cultures. For this paper he received the MAA Lester R. Ford Award.
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Alexandre Joel Chorin is an American mathematician known for his contributions to computational fluid mechanics, turbulence, and computational statistical mechanics.
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Charity Engine is a free PC app based on Berkeley University's BOINC software, run by The Worldwide Computer Company Limited. The project works by selling spare home computing power to universities and corporations, then sharing the profits between eight partner charities and periodic cash prize draws for the users; those running the Charity Engine BOINC software on their home computers. When there are no corporations purchasing the computing power, Charity Engine donates it to existing volunteer computing projects such as Rosetta@home, Einstein@Home, and Malaria Control, and prize draws are funded by donations.
YitangZhang is a Chinese-American mathematician primarily working on number theory and a professor of mathematics at the University of California, Santa Barbara since 2015.
Matthew Thomas Parker is an Australian recreational mathematician, author, comedian, YouTube personality and science communicator based in the United Kingdom. His book Humble Pi was the first maths book in the UK to be a Sunday Times No. 1 bestseller. Parker was the Public Engagement in Mathematics Fellow at Queen Mary University of London. He is a former maths teacher and has helped popularise maths via his tours and videos.
3Blue1Brown is a math YouTube channel created and run by Grant Sanderson. The channel focuses on teaching higher mathematics from a visual perspective, and on the process of discovery and inquiry-based learning in mathematics, which Sanderson calls "inventing math". As of December 2023, the channel has 5.6 million subscribers.
In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum. A necessary condition for an integer to equal such a sum is that cannot equal 4 or 5 modulo 9, because the cubes modulo 9 are 0, 1, and −1, and no three of these numbers can sum to 4 or 5 modulo 9. It is unknown whether this necessary condition is sufficient.
Numberphile is an educational YouTube channel featuring videos that explore topics from a variety of fields of mathematics. In the early days of the channel, each video focused on a specific number, but the channel has since expanded its scope, featuring videos on more advanced mathematical concepts such as Fermat's Last Theorem, the Riemann hypothesis and Kruskal's tree theorem. The videos are produced by Brady Haran, a former BBC video journalist and creator of Periodic Videos, Sixty Symbols, and several other YouTube channels. Videos on the channel feature several university professors, maths communicators and famous mathematicians.
Andrew Victor Sutherland is an American mathematician and Principal Research Scientist at the Massachusetts Institute of Technology. His research focuses on computational aspects of number theory and arithmetic geometry. He is known for his contributions to several projects involving large scale computations, including the Polymath project on bounded gaps between primes, the L-functions and Modular Forms Database, the sums of three cubes project, and the computation and classification of Sato-Tate distributions.
Lisa Marie Piccirillo is an American mathematician who works on Geometry and low-dimensional topology. In 2020, Piccirillo published a mathematical proof in the journal Annals of Mathematics determining that the Conway knot is not a slice knot, answering an unsolved problem in knot theory first proposed over fifty years prior by English mathematician John Horton Conway. In July 2020, she became an assistant professor of mathematics at Massachusetts Institute of Technology.