We die in proportion to the words we fling around us.
—Emil Cioran

publications

For recent papers (since 2014 or so), links point to the paper’s page on arxiv.org; for older papers the links point directly to PDF files. As always, the versions here may differ from the final published versions.

preprints

• Limiting eigenvalue distribution and entropy of multi-Toeplitz matrices
  with A. Memana

• Free versions of the strong Szegő limit theorem
  with L. van Rensburg and G. Roman

• Completely positive matrix products
  with E. Evert and S. McCullough

2026

• Determinants of random unitary pencils
  with G. Roman
  Journal of Functional Analysis 291, Issue 6 (2026), Paper no. 111555, 60 pages.

• A note on homotopies of rational matrix inner functions
  Proceedings of the American Mathematical Society 154 (2026), 1639–1643.

2024

• Positivity conditions on the annulus via the double-layer potential kernel
  with G. Tsikalas
  Studia Mathematica 278 (2024), 233–265.

• An optimal approximation problem for free polynomials
  with P. Arora, M. Augat, and M. Sargent
  Proceedings of the American Mathematical Society 152 (2024), 455–470.

• The kernel perspective on dynamic mode decomposition
  with E. Gonzalez, M. Abudia, R. Kamalapurkar, and J. Rosenfeld
  Transactions on Machine Learning Research, September 2024.

• Noncommutative inner-outer factorizations
  with R.T.W. Martin and E. Shamovich
  In: Alpay, D., Sabadini, I., Colombo, F. (eds.), Operator Theory. Springer Basel (2024).

2023

• A brief introduction to noncommutative function theory
  In: Mashreghi, J. (ed.), Lectures on Analytic Function Spaces and their Applications.
  Fields Institute Monographs, vol. 39. Springer Cham (2023).

• Sub-Hardy Hilbert spaces in the non-commutative row ball
  with R.T.W. Martin
  In: Binder, I., Kinzebulatov, D., Mashreghi, J. (eds.), Function Spaces Theory and Applications.
  Fields Institute Communications, vol. 87. Springer Cham (2023).

• Denjoy-Wolff points on the bidisk via models
  with G. Tsikalas
  Integral Equations and Operator Theory 95 (2023), 30, 42 pp.

• Non-commutative rational Clark measures
  with R.T.W. Martin and E. Shamovich
  Canadian Journal of Mathematics 75 (2023), no. 5, 1393–1445.

• A non-commutative F&M Riesz Theorem
  with R.T.W. Martin and E. Timko
  Journal of Operator Theory 90 (2023), no. 2, 569–604.

2022

• Noncommutative partially convex rational functions
  with I. Klep, M. Mancuso, S. McCullough, and J.E. Pascoe
  Revista Matemática Iberoamericana 38 (2022), no. 3, 731–759.

• Unbounded multipliers of complete Pick spaces
  with R.T.W. Martin
  Integral Equations and Operator Theory 94 (2022), Paper no. 14, 28 pages.

• Fatou’s Theorem for non-commutative measures
  with R.T.W. Martin
  Advances in Mathematics 400 (2022), Paper No. 108293, 53 pp.

• Lebesgue decomposition of non-commutative measures
  with R.T.W. Martin
  International Mathematics Research Notices 2022, no. 4, 2968–3030.

2021

• Non-commutative rational functions in the full Fock space
  with R.T.W. Martin and E. Shamovich
  Transactions of the American Mathematical Society 374 (2021), no. 9, 6727–6749.

• Blaschke-Singular-Outer factorization of free non-commutative functions
  with R.T.W. Martin and E. Shamovich
  Advances in Mathematics 384 (2021), Paper No. 107720, 42 pp.

• Szegő and Widom theorems for finite codimensional subalgebras of a class of uniform algebras
  with D. Pfeffer
  Complex Analysis and Operator Theory 15 (2021), no. 5, Paper No. 83, 37 pp.

• Noncommutative partial convexity via Γ-convexity
  with I. Klep, M. Mancuso, S. McCullough, and J.E. Pascoe
  Journal of Geometric Analysis 31 (2021), 3137–3160.

• The Smirnov classes for the Fock space and complete Pick spaces
  with R.T.W. Martin
  Indiana University Mathematics Journal 70 (2021), no. 1, 269–284.

2020

• Effective noncommutative Nevanlinna-Pick interpolation in the row ball and applications
  with M. Augat and J.E. Pascoe
  Journal of Mathematical Analysis and Applications 492 (2020), no. 2, 21 pages.

• Column extreme multipliers of the Free Hardy space
  with R.T.W. Martin
  Journal of the London Mathematical Society 101 (2020), no. 2, 457–489.

Pre-2020

• Operators affiliated to the free shift on the free Hardy space
  with R.T.W. Martin
  Journal of Functional Analysis 277 (2019), Issue 12, Article 108285.

• Factorization in weak products of complete Pick spaces
  with R.T.W. Martin
  Bulletin of the London Mathematical Society 51 (2019), no. 2, 223–229.

• Extremal multipliers of the Drury-Arveson space
  with R.T.W. Martin
  Proceedings of the American Mathematical Society 146 (2018), 4293–4306.

• Non-commutative Clark measures for the free and abelian Toeplitz algebras
  with R.T.W. Martin
  Journal of Mathematical Analysis and Applications 456, Issue 2 (2017), 1062–1100.

• Aleksandrov-Clark theory for Drury-Arveson space
  with R.T.W. Martin
  Integral Equations and Operator Theory (2018).

• Dilations and constrained algebras
  with M. Dritschel and S. McCullough
  Operators and Matrices 10, No. 4 (2016), 829–861.

• Does every contractive analytic function in a polydisk have a dissipative n-dimensional scattering realization?
  Complex Analysis and Operator Theory 9, Issue 4 (2015), 821–825.

• Clark theory in the Drury-Arveson space
  Journal of Functional Analysis 266, Issue 6 (2014), 3855–3893.

• Universal commutative operator algebras and transfer function realizations of polynomials
  Integral Equations and Operator Theory 73, No. 3 (2012), 305–329.

• Nevanlinna-Pick interpolation on distinguished varieties in the bidisk
  with G. Knese and S. McCullough
  Journal of Functional Analysis 262 (2012), 3812–3838.

• Valiron’s theorem in the unit ball and spectra of composition operators
  Journal of Mathematical Analysis and Applications 368 (2010), 482–490.

• Composition operators on Hardy spaces of a half plane
  with S. Elliott
  Bulletin of the London Mathematical Society 44, No. 3 (2012), 489–495.

• Agler interpolation families of kernels
  with G. Knese and S. McCullough
  Operators and Matrices 3, No. 4 (2009), 571–587.

• Operator-valued Herglotz kernels and functions of positive real part on the ball
  Complex Analysis and Operator Theory 4, No. 2 (2010), 301–317.

• Norms and spectral radii of linear fractional composition operators on the ball
  Journal of Functional Analysis 254, No. 9 (2008), 2387–2400.

• The Fredholm index for elements of Toeplitz-composition C*-algebras
  Integral Equations and Operator Theory 58, No. 3 (2007), 341–362.

• Reproducing kernels, de Branges-Rovnyak spaces, and norms of weighted composition operators
  Proceedings of the American Mathematical Society 135, No. 11 (2007), 3669–3675.

• C*-algebras generated by groups of composition operators
  Indiana University Mathematics Journal 56, No. 6 (2007), 3171–3192.

• Invariant subspaces for a class of complete Pick kernels
  Proceedings of the American Mathematical Society 133, No. 12 (2005), 3589–3596.

• Partially isometric dilations of noncommuting N-tuples of operators
  with D. Kribs
  Proceedings of the American Mathematical Society 133, No. 1 (2005), 213–222.

• Ideals in free semigroupoid algebras from directed graphs
  with D. Kribs
  Journal of Operator Theory 53, No. 2 (2005), 273–302.