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Since the celebrated resolution of Kadison-Singer (via the Paving Conjecture) by Marcus, Spielman, and Srivastava, much study has been devoted to further understanding and generalizing the techniques of their proof.
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James Renegar, Hyperbolic programs, and their derivative relaxations , Foundations of Computational Mathematics 6
2006
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Petter Brändén, Polynomials with the half-plane property and matroid theory , Advances in Mathematics 216
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J William Helton and Victor Vinnikov, Linear matrix inequality representation of sets , Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences 60
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Julius Borcea and Petter Brändén, The lee-yang and pólya-schur programs. i. linear operators preserving stability , Inventiones mathematicae 177
2009
Cited alongside, same era.
Adam W Marcus, Daniel A Spielman, and Nikhil Srivastava, Interlacing families ii: Mixed characteristic polynomials and the kadison—singer problem , Annals of Mathematics (2015), 327–350
2015
Later among the works it cites.
Petter Brändén, Ilia Krasikov, and Boris Shapiro, Elements of pólya-schur theory in the finite difference setting , Proceedings of the American Mathematical Society 144, 11
2016
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2016
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Adam W Marcus, Polynomial convolutions and (finite) free probability , preprint (2016)
2016
Later among the works it cites.
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2015
Cited alongside, same era.
Adam Marcus, Daniel Spielman, and Nikhil Srivastava, Interlacing families i: Bipartite ramanujan graphs of all degrees , Annals of Mathematics 182
2015
Cited alongside, same era.
2017
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