Answer by slcvtq for Mathematicians with both “very abstract” and “very...
Shing-Tung Yau, well-known to pure mathematicians for the proof of the Calabi conjecture, the Donaldson-Uhlenbeck-Yau theorem, the positive mass theorem in general relativity, and differential Harnack...
View ArticleAnswer by Santi Spadaro for Mathematicians with both “very abstract” and...
Stephen Smale, who is mainly known for his contributions to topology and topological dynamics, also did important work in mathematical economics.Smale, Steve, Global analysis and economics, Handbook of...
View ArticleAnswer by Goldstern for Mathematicians with both “very abstract” and “very...
I am not sure what "Robert Solovay's checksum utility" is, but it sounds very applied, and is mentioned in hundreds of LaTeX input files. He is also one of the giants of set theory, perhaps best known...
View ArticleAnswer by John Coleman for Mathematicians with both “very abstract” and “very...
Ronald Graham spent his career at Bell Labs working on applied problems such as scheduling theory, but is also known for his work in Ramsey theory. In that context Graham's number held the record for...
View ArticleAnswer by Wlod AA for Mathematicians with both “very abstract” and “very...
While his other family members outdid Andrzej Trybulec in topology and geometry, he added to these specializations also his creation of Mizar -- the computer proof-checker.
View ArticleAnswer by Piero D'Ancona for Mathematicians with both “very abstract” and...
I am surprised the name of Bernhard Riemann did not come up already. He founded a few fields of mathematics and it is a bit funny to justify his presence in this list so I'll be short. On the abstract...
View ArticleAnswer by Mars for Mathematicians with both “very abstract” and “very...
Richard von Mises did seminal work on the philosophical foundations of probability in terms of long-run frequencies starting in the 1930s. This led to a series of attempts to revise his approach to fix...
View ArticleAnswer by relean elo for Mathematicians with both “very abstract” and “very...
As I have been reading Rota's Indiscrete thoughts lately I had in mind the following mathematician, Jacob T. Schwartz.Citing from the book,If a twentieth century version of Emerson's Representative Men...
View ArticleAnswer by Francois Ziegler for Mathematicians with both “very abstract” and...
Several answers (on Beurling, Gleason, Gröbner, Littlewood, Rankin, Robinson, Turing, Ulam, Whitney) suggest that applied work was often classified. I also heard about Vieta being his King’s...
View ArticleAnswer by Yuval Peres for Mathematicians with both “very abstract” and “very...
Noga Alon has hundreds of contributions in combinatorics, but also co-authored the foundational paper on streaming algorithmsthat has been cited more than 1800 times according to Google Scholar:Alon,...
View ArticleAnswer by Wlod AA for Mathematicians with both “very abstract” and “very...
Arguably, the greatest ever mathematical logician, Emil Leon Post, was among the main founders of Computer Science (Informatics/Informatique).The fate was cruel to him, in more than one way, hence no...
View ArticleAnswer by user6976 for Mathematicians with both “very abstract” and “very...
Another example is Piotr Novikov. He started as a set theorist, then logician and group theorist (where he is famous for the work on the word problem for groups, and the Burnside problem). But he is...
View ArticleAnswer by Wlod AA for Mathematicians with both “very abstract” and “very...
Albert Einstein, in addition, to be a colossus in Physics, had patents (inventions), and he had a significant contribution to Differential Geometry (and, on the top of it, also to tensor analysis,...
View ArticleAnswer by Wlod AA for Mathematicians with both “very abstract” and “very...
Norbert Wiener -- well known for his profound mathematics but also as the father of cybernetics."Wiener is considered the originator of cybernetics, a formalization of the notion of feedback, with...
View ArticleAnswer by Wlod AA for Mathematicians with both “very abstract” and “very...
Claude Elwood Shannon. Do I need to say more?! Shannon has single-handedly both introduced a new mathematical theory, Information Theory and was the author of the first and fundamental results on his...
View ArticleAnswer by David Eppstein for Mathematicians with both “very abstract” and...
Michel Demazure worked on group schemes as a member of Bourbaki. But he is also known for his work in computer vision for recovering the 3d geometry of a scene by comparing the positions of known...
View ArticleAnswer by Ethan Bolker for Mathematicians with both “very abstract” and “very...
Andrew Gleason solved Hilbert's Fifth Problem, contributed to the foundations of quantum mechanics by proving Gleason's Theorem and was a serious cryptographer during and after WWII.
View ArticleAnswer by Igor Rivin for Mathematicians with both “very abstract” and “very...
The person with the most citations with "mathematics" on Google Scholar is Eric Lander. He started as a representation theorist, and then moved into molecular biology and genetics.
View ArticleAnswer by Francois Ziegler for Mathematicians with both “very abstract” and...
Eduard Stiefel went from characteristic classes and Lie group representations and topology, to (early) numerical programming and computation of orbits for NASA.
View ArticleAnswer by Nik Weaver for Mathematicians with both “very abstract” and “very...
Has everyone forgotten John Nash? I believe his contributions to game theory are among the most prominent examples of mathematical ideas which are widely used in other fields.On the pure end, the De...
View Article