I am a faculty member in the Department of Mathematics at the Ben-Gurion University of the Negev, Israel.
Before that, I was a postdoctoral fellow at the University of Waterloo and the Technion.
I obtained my Ph.D. in 2015 from Ben-Gurion University of the Negev. My supervisor was Victor Vinnikov.
Office: 58/102
Email: shamovic at bgu, dot ac another dot il
Multivariable operator theory and its interplay with complex algebraic and analytic geometry
Classical and noncommutative function theory
Operator algebras and systems, in particular, matrix convexity
Noncommutative localizations
Real and complex algebraic geometry (in particular, determinantal representations)
Rings of non-commutative functions and their fields of fractions [arXiv ]
with M. L. Augat and R. T. W. Martin
Global structure behind pointwise equivalences of noncommutative polynomials [arXiv ],
with J. Volčič
Deformations of complete Pick spaces [arXiv],
with P. Deb and J. Nureliyan
Indiana University Mathematics Journal, to appear
Boundary representations from constrained interpolation [arXiv],
with G. Ben Ayun
Journal of Mathematical Analysis and Applications, Vol. 554, Issue 2 (2026), Paper No. 130012 [DOI]
Operator realizations of non-commutative analytic functions [arXiv ],
with M. L. Augat and R. T. W. Martin
Forum of Mathematics Sigma, Vol. 13 (2025), e137 [DOI ]
A spectral radius for matrices over an operator space [arXiv],
with O. M. Shalit
Advance in Mathematics, Vol. 479 (2025), 110449 [DOI]
Iteration theory of noncommutative maps [arXiv ],
with S. T. Belinschi
Journal of Noncommutative Geometry, Vol. 19, Issue 4 (2025), 1343--1366 [DOI]
Noncommutative inner-outer factorizations (book chapter),
with M. T. Jury and R. T. W. Martin
Operator Theory, vol. 2, [DOI]
Rational Cuntz states peak on the free disk algebra [arXiv],
with R. T. W. Martin
Bulletin of the London Mathematical Society, Vol. 56, Issue 4 (2024), 1550--1569 [DOI]
Non-commutative rational Clark measures [arXiv ],
with M. T. Jury and R. T. W. Martin
Canadian Journal of Mathematics, Vol. 75, Issue 5 (2023), 1393--1445 [DOI]
Noncommutative Choquet Simplices [arXiv],
with M. Kennedy
Mathematische Annalen, Vol. 382, Issue 3-4 (2022), 1591--1629 [DOI]
Non-commutative rational functions in the full Fock space [arXiv],
with M. T. Jury and R. T. W. Martin
Transactions of the American Mathematical Society, Vol. 374, Issue 9 (2021), 6727--6749 [DOI]
On deformations of hyperbolic varieties [arXiv],
with M. Kummer,
Moscow Mathematical Journal, Vol. 21, Issue 3 (2021), 593--612 [Journal link]
Blaschke-singular-outer factorization of free non-commutative functions [arXiv],
with M. T. Jury and R. T. W. Martin
Advances in Mathematics, Vol 384 (2021), 107720 [DOI]
A de Branges-Beurling theorem for the full Fock space [arXiv],
with R. T. W. Martin
Journal of Mathematical Analysis and Applications, Vol. 496, Issue 5 (2021), 124765 [DOI ]
Nevanlinna-Pick families and singular rational varieties [arXiv],
with K. R. Davidson,
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology, Operator Theory: Advances and Applications, Vol. 278 [DOI ]
Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem [arXiv],
with G. Salomon and O. M. Shalit,
Journal of Functional Analysis, Vol. 278, Issue 7 (2020), 108427 [DOI]
Real fibered morphisms and Ulrich sheaves [arXiv],
with M. Kummer,
Journal of Algebraic Geometry, Vol. 29, Issue 1 (2020) 167--196 [DOI]
How to count zeroes of polynomials on quadrature domains using the Bezout matrix [arXiv],
with V. Vinnikov,
Advances in Mathematics, Vol. 352 (2019), 1--26 [DOI]
Representations of Lie algebras by non-skewselfadjoint operators in Hilbert space [arXiv],
with V. Vinnikov,
Journal of Functional Analysis, Vol. 276, Issue 1(2019), 1--44 [DOI]
On fixed points of self maps of the free ball [arXiv],
Journal of Functional Analysis, Vol. 275, Issue 2 (2018), 422--441 [DOI]
Livsic-type determinantal representations and hyperbolicity [arXiv],
with V. Vinnikov,
Advances in Mathematics, Vol. 329 (2018), 487--522 [DOI]
Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball [arXiv],
with G. Salomon and O. M. Shalit
Transactions of the American Mathematical Society, Vol. 370, Issue 12 (2018), 8639--8690 [DOI]
Dilations of semigroups of contractions through vessels [arXiv],
with V. Vinnikov,
Integral Equations and Operator Theory, Vol. 87, Issue 1 (2017), 45--80 [DOI]