SM
Scott McCullough
math.FAmath.OAmath.CVmath.OCmath.AGmath.RAmath.PRquant-ph
On Valency
published · living versionsW_9tgbjexu·v1 · currentpublished
Preprints & journals
48 papers in the corpus · 2003–2026Addendum to "Factoring non-negative operator valued trigonometric polynomials in two variables"2608.23073v1 · Michael A. Dritschel, Igor Klep, Scott McCullough et al.2026 · 0 citationsarXiv
Beurling Criteria for Reproducing Kernels2607.25088v2 · Shuaibing Luo, Scott McCullough, Georgios Tsikalas2026 · 0 citationsarXiv
Completely Positive Matrix Products2607.13251v1 · Eric Evert, Michael T. Jury, Scott McCullough2026 · 0 citationsarXiv
Operator-Valued Positivstellensätze on Matrix Convex Sets and Free Products of Finite Abelian Groups2604.27062v1 · Abhay Jindal, Igor Klep, Scott McCullough2026 · 0 citationsarXiv
Fejér--Riesz factorization for positive noncommutative trigonometric polynomials2511.09267v3 · Igor Klep, Jacob Levenson, Scott McCullough2025 · 0 citationsarXiv
Positive operator-valued noncommutative polynomials are squares2511.06487v3 · Abhay Jindal, Igor Klep, Scott McCullough2025 · 0 citationsarXiv
Duality, extreme points and hulls for noncommutative partial convexity2412.13267v2 · Igor Klep, Scott McCullough, Tea Strekelj2024 · 0 citationsarXiv
The complete Pick property for pairs of kernels and Shimorin's factorization2405.16319v4 · Scott McCullough, Georgios Tsikalas2024 · 0 citationsarXiv
Reinhardt Free Spectrahedra2301.02746v2 · Munir Ben Jemaa, Scott McCullough2023 · 0 citationsarXiv
Bilinear matrix inequalities and polynomials in several freely noncommuting variables2209.14580v2 · Sriram Balasubramanian, Neha Hotwani, Scott McCullough2022 · 0 citationsarXiv
Geometric Dilations and Operator Annuli2202.08872v4 · Scott McCullough, James E. Pascoe2022 · 4 citationsarXiv
Convexity of a certain operator trace functional2109.11528v1 · Eric Evert, Scott McCullough, Tea Strekelj et al.2021 · 2 citationsarXiv
Hyper-Reinhardt Free Spectrahedra2107.11641v4 · Scott McCullough2021 · 0 citationsarXiv
Reinhardt Free Spectrahedra2012.02289v3 · Scott McCullough, Nicole Tuovila2020 · 1 citationarXiv
Noncommutative partially convex rational functions2005.01086v4 · Michael Jury, Igor Klep, Mark E. Mancuso et al.2020 · 1 citationRev. Mat. Iberoam. 38 (2022) 731-759
Noncommutative partial convexity via -convexity1908.05949v1 · Michael Jury, Igor Klep, Mark E. Mancuso et al.2019 · 6 citationsJ. Geom. Anal. 31 (2021) 3137--3160
Plurisubharmonic Noncommutative Rational Functions1908.01895v1 · Harry Dym, J. William Helton, Igor Klep et al.2019 · 2 citationsJ. Math. Anal. Appl. 492 (2020) 124421, 23pp
Bianalytic free maps between spectrahedra and spectraballs1804.09743v3 · J. William Helton, Igor Klep, Scott McCullough et al.2018 · 7 citationsJ. Funct. Anal. 278 (2020) 108472, 61pp
Free bianalytic maps between spectrahedra and spectraballs in a generic setting1711.09459v4 · Meric Augat, J. William Helton, Igor Klep et al.2017 · 1 citation"Interpolation and Realization Theory with Applications to Control Theory" (Operator Theory: Advances and Applications vol. 272), 43-60, Birkh\"auser, 2019
Szego and Widom Theorems for the Neil Algebra1706.03477v3 · Sriram Balasubramanian, Scott McCullough, Udeni Wijesooriya2017 · 3 citationsarXiv
Circular Free Spectrahedra1604.05756v1 · Eric Evert, J. William Helton, Igor Klep et al.2016 · 5 citationsJ. Math. Anal. Appl. 445 (2017) 1047-1070
Compact Sets in the Free Topology1604.04580v3 · Meric Augat, Sriram Balasubramanian, Scott McCullough2016 · 22 citationsarXiv
Non-commutative polynomials with convex level slices1512.02983v2 · Harry Dym, J. William Helton, Scott McCullough2015 · 4 citationsarXiv
Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions1412.1481v4 · J. William Helton, Igor Klep, Scott A. McCullough et al.2014 · 32 citationsMem. Amer. Math. Soc. 257 vol. 1232 (2019), 104pp
On trace-convex noncommutative polynomials1411.6636v1 · Igor Klep, Scott A. McCullough, Christopher S. Nelson2014 · 1 citationMichigan Math. J. 65 (2016) 131-146
The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra1407.8198v2 · J. William Helton, Igor Klep, Scott McCullough2014 · 31 citationsJ. Eur. Math. Soc. 19 (2017) 1845-1897
Matrix Convex Hulls of Free Semialgebraic Sets1311.5286v3 · J. William Helton, Igor Klep, Scott McCullough2013 · 24 citationsTrans. Amer. Math. Soc. 268 (2016) 3105-3139
A lifting theorem for 3-isometries1306.5444v1 · Scott McCullough, Benjamin Russo2013 · 0 citationsarXiv
Dilations and constrained algebras1305.4272v2 · Michael A. Dritschel, Michael T. Jury, Scott McCullough2013 · 14 citationsarXiv
Free Convex Algebraic Geometry1304.4272v1 · J. William Helton, Igor Klep, Scott McCullough2013 · 19 citationsIn: "Semidefinite Optimization and Convex Algebraic Geometry" edited by G. Blekherman, P. Parrilo, R. Thomas, pp. 341-405, SIAM, 2013
Free convex sets defined by rational expressions have LMI representations1209.3412v2 · J. William Helton, Scott McCullough2012 · 27 citationsarXiv
On real one-sided ideals in a free algebra1208.4837v2 · Jakob Cimpric, J. William Helton, Igor Klep et al.2012 · 10 citationsJ. Pure Appl. Algebra 218 (2014), 269-284
Quasi-Convex Free Polynomials1208.3582v1 · Sriram Balasubramanian, Scott McCullough2012 · 0 citationsarXiv
Free analysis, convexity and LMI domains1206.2401v1 · J. William Helton, Igor Klep, Scott McCullough2012 · 17 citations"Mathematical methods in systems, optimization and control" (Operator Theory: Advances and Applications) edited by H. Dym, M. de Oliveira, M. Putinar, pp. 195-219, Birkhauser, 2012
Non-commutative varieties with curvature having bounded signature1202.0056v1 · Harry Dym, J. William Helton, Scott McCullough2012 · 2 citationsarXiv
Agler-Commutant Lifting on an Annulus1201.5592v1 · Scott McCullough, Saida Sultanic2012 · 4 citationsarXiv
Semidefinite programming in matrix unknowns which are dimension free1112.6251v1 · J. William Helton, Igor Klep, Scott McCullough2011 · 8 citationsPages 377-405 in the Handbook of Semidefinite, Conic and Polynomial Optimization edited by M. Anjos and J. B. Lasserre, Springer, 2012
The convex Positivstellensatz in a free algebra1102.4859v3 · J. William Helton, Igor Klep, Scott McCullough2011 · 53 citationsAdv. Math. 231 (2012), 516-534
Nevanlinna-Pick interpolation on distinguished varieties in the bidisk1009.4144v2 · Michael T. Jury, Greg Knese, Scott McCullough2010 · 28 citationsJ. Funct. Anal. 262 (2012), no. 9, 3812-3838
Proper Analytic Free Maps1004.1381v2 · J. William Helton, Igor Klep, Scott McCullough2010 · 71 citationsJ. Funct. Anal. 260, No. 5, 1476-1490 (2011)
The matricial relaxation of a linear matrix inequality1003.0908v2 · J. William Helton, Igor Klep, Scott McCullough2010 · 81 citationsMath. Program. 138 (2013), 401-445
Every free basic convex semi-algebraic set has an LMI representation0908.4352v5 · J. William Helton (UCSD), Scott McCullough (U of Florida)2009 · 24 citationsarXiv
Analytic mappings between noncommutative pencil balls0908.0742v2 · J. William Helton, Igor Klep, Scott McCullough2009 · 59 citationsJ. Math. Anal. Appl. 376 (2011), no. 2, 407-428
Agler interpolation families of kernels0905.0356v1 · Michael Jury, Greg Knese, Scott McCullough2009 · 7 citationsarXiv
Classification of All Noncommutative Polynomials Whose Hessian Has Negative Signature One and A Noncommutative Second Fundamental Form0903.2029v1 · Harry Dym, Jeremy M. Greene, J. William Helton et al.2009 · 6 citationsarXiv
Noncommutative ball maps0809.4874v1 · J. William Helton, Igor Klep, Scott McCullough et al.2008 · 40 citationsJ. Funct. Anal. 257 (2009), no. 1, 47-87
Non-Commutative Partial Matrix Convexity0804.0633v1 · Damon M. Hay, J. William Helton, Adrian Lim et al.2008 · 11 citationsarXiv
The failure of rational dilation on a triply connected domainmath/0310398v1 · Michael A. Dritschel, Scott McCullough2003 · 77 citationsarXiv
Career total: 113 works. 48 are in this corpus.
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