Mathematicians with both “very abstract” and “very applied” achievements
Gödel had a cosmological model. Hamel, primarily a mechanician, gave any vector space a basis. Plücker, best known for line geometry, spent years on magnetism. What other mathematicians had so distant...
View ArticleAnswer by XL _At_Here_There for Mathematicians with both “very abstract” and...
Alan Turing is one mathematicians with both “very abstract” and “very applied” achievements: https://en.wikipedia.org/wiki/Alan_Turing
View ArticleAnswer by bof for Mathematicians with both “very abstract” and “very applied”...
Abraham Robinson made contributions to mathematical logic (model theory, nonstandard analysis) and aerodynamics (airplane wing design).In December of 1942 Robinson wrote to his supervisors in Jerusalem...
View ArticleAnswer by user131781 for Mathematicians with both “very abstract” and “very...
The first person who comes to mind is Hilbert, although his work on quantum mechanics might not qualify as „very applied“. But Wiener and von Neumann certainly fit the bill. Many of the prominent pure...
View ArticleAnswer by Sam Hopkins for Mathematicians with both “very abstract” and “very...
David Mumford did foundational work in algebraic geometry, but then later in his career did a lot of work in the applied areas of vision (especially computer vision) and pattern theory.
View ArticleAnswer by Francesco Polizzi for Mathematicians with both “very abstract” and...
G. H. Hardy is well-known for his work in number theory, but also for the so called Hardy–Weinberg principle in genomics.
View ArticleAnswer by JRN for Mathematicians with both “very abstract” and “very applied”...
John von Neumann was the first person to come to my mind.He published over 150 papers in his life: about 60 in pure mathematics, 60 in applied mathematics, 20 in physics, and the remainder on special...
View ArticleAnswer by alesia for Mathematicians with both “very abstract” and “very...
Jean Leray started in fluid mechanics. His work might not be applied enough for your question, but when he was made prisoner during WWII he concealed his knowledge about fluid mechanics thinking he...
View ArticleAnswer by user6976 for Mathematicians with both “very abstract” and “very...
Pontryagin is considered one of the best both pure and applied mathematicians in the last сentury.
View ArticleAnswer by Gerry Myerson for Mathematicians with both “very abstract” and...
Littlewood is best-known for his pure math research, but during the first World War he worked on ballistics. I suspect there were others who put aside pure math for more applied topics during the wars.
View ArticleAnswer by bof for Mathematicians with both “very abstract” and “very applied”...
Stanisław Ulam is best known for his work on the Manhattan Project, but his contributions to pure mathematics include pioneering work on measurable cardinals and formulating the reconstruction...
View ArticleAnswer by user150544 for Mathematicians with both “very abstract” and “very...
George Dantzig is known for his work in Linear Programming, including coining the Simplex algorithm. But his PhD was accidentally in Statistics.
View ArticleAnswer by user8253417 for Mathematicians with both “very abstract” and “very...
Frank Garside (he doesn't have a wikipedia page but he has this https://en.wikipedia.org/wiki/Garside_element) was responsible for solving the conjugacy problem in the braid group, and then became the...
View ArticleAnswer by Geoff Robinson for Mathematicians with both “very abstract” and...
Perhaps Helmut Wielandt might be mentioned. As well as his work on finite group theory, he has a famous theorem on doubly stochastic matrices, and another elegant proof (albeit of a previously known...
View ArticleAnswer by Martin Argerami for Mathematicians with both “very abstract” and...
James Glimm did his Ph.D. in C $^*$-algebras, where he made long-lasting contributions. He switched fields soon after, and (as Wikipedia says) he has been noted for contributions to C*-algebras,...
View ArticleAnswer by Francois Ziegler for Mathematicians with both “very abstract” and...
Several known for “pure” work have rather applied contributions to geometrical optics:Carathéodory (1937) Geometrische OptikChaundy (1919) The aberrations of a symmetrical optical systemWhittaker...
View ArticleAnswer by fosco for Mathematicians with both “very abstract” and “very...
Steve Vickers works on topos theory and pointfree topology, but alsoHe was responsible for the adaptation of the 4K ZX80 ROM into the 8K ROM used in the ZX81 and also wrote the ZX81 manual. He then...
View ArticleAnswer by polfosol for Mathematicians with both “very abstract” and “very...
I am surprised that no one has mentioned Terence Tao yet. Speaking of his very abstract achievements in math to the audience of this site is like carrying coals to Newcastle. But he has some cool...
View ArticleAnswer by einpoklum for Mathematicians with both “very abstract” and “very...
Pafnuty Liebovich Chebyshev contributed to probability and number theory, among other matters - but also worked on steam engine "linkage" design. I also remember being told that he had developed a...
View ArticleAnswer by xuq01 for Mathematicians with both “very abstract” and “very...
Thierry Coquand works mainly in formal topology, constructive algebra, and foundations, but he was one of the early authors (and namesake!) of the Coq proof assistant. In fact, most people probably...
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