My most recent papers are:
- A geometric characterization of the symmetrized bidisc, J. Math. Anal. Applic., 473 (2019) 1377-1413, joint with J. Agler and Z. A. Lykova.
- Free manifolds, the free square root and symmetric functions in
two non-commuting variables, Trans. London Math. Soc. 5 (2018) 132-183, open access, joint with J. Agler and J. McCarthy.
- Characterizations of some domains via Caratheodory extremals, joint with J. Agler and Z. A. Lykova, to appear in J. Geom. Anal. (2019).
- Analytic interpolation into the tetrablock and a $\mu$-synthesis problem,
joint with Z. A. Lykova and Amos Ajibo, to appear in Operator Theory: Advances and Applications, Birkhauser, Basel, 2019.
- Caratheodory extremal functions on the symmetrized bidisc, joint with J. Agler
and Z. A. Lykova, to appear in Operator Theory: Advances and Applications, Birkhauser, Basel, 2019, arXiv: 1712.00749 [math.CV], December 2017, 24 pp.
- Algebraic and geometric aspects of rational $\Gamma$-inner
functions
Advances in Math 328 (2018) 133-159, open access, joint with Jim Agler and Z. A. Lykova.
- Realization of functions on the symmetrized bidisc, J. Math. Anal.
Applic. 453 (2017) 227--240, open access, joint with J. Agler and Z. A. Lykova.
- A rich structure related to the construction of
analytic matrix functions,
J. Functional Analysis, 272 (2017) 1704--1754, open access, joint with D. C. Brown and Z. A. Lykova.
- Geodesics, retracts, and the norm-preserving extension property in the
symmetrized bidisc, to appear in Memoirs of the American Mathematical Society, joint with Jim Agler and Z. A. Lykova.
- Finite Blaschke products and the construction of rational
$\Gamma$-inner functions , J. Math. Analysis and Applications, 447 (2017), open access, joint with
Jim Agler and Z. A. Lykova.
-
Nevanlinna representations in several variables, J. Functional Analysis, 270 (2016) 3000-3046, open access,
joint with Jim Agler and Ryan Tully-Doyle.
- Review of Foundations of free noncommutative function theory , by Dmitry S.
Kaliuzhnyi-Verbovetskyi and Victor Vinnikov, in Bull. London Math. Soc. 47 (2015) 1036-1039.
- The complex geometry of a domain related to mu-synthesis, March 2014, joint with Jim Agler and Z. A. Lykova.
- 3-extremal holomorphic maps and the symmetrised bidisc, July 2013, joint with Jim Agler and Z. A. Lykova.
- Symmetric functions of two noncommuting variables, July 2013,
joint with Jim Agler.
- A case of mu-synthesis as a quadratic semidefinite program, December 2012, joint with Jim Agler
and Z. A. Lykova.
- Correction to `A Schwarz Lemma for a domain related to mu-synthesis',
February 2013, joint with A. Abouhajar and M. C. White.
- Extremal holomorphic maps and the symmetrised bidisc, October 2011, joint with Jim Agler and Z. A. Lykova.
- Boundary behavior of analytic functions of two variables via
generalized models, March 2012,
joint with Jim Agler and Ryan Tully-Doyle;
- On the representation of holomorphic functions on polyhedra,
November 2011, joint with Jim Agler and John McCarthy;
- Some analysable instances of mu-synthesis, March 2011;
- The boundary Caratheodory-Fejer problem, November 2010,
joint with Jim Agler and Z. A. Lykova;
- Operator monotone functions and Löwner functions of several variables,
September 2010, joint with J. Agler and J. E. McCarthy;
-
Pseudo-Taylor expansions and the Caratheodory-Fejer problem, January 2011, joint with Jim Agler and
Z. A. Lykova.
Click here
for abstracts and bibliographic details
of recent publications (1999-present).
Preprints of papers which have not yet appeared are on the eprint archive.
Here is my full publication list as a pdf file.
