Agler, J., Lykova, Z.A. and Young, N.J., Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc,
arxiv: 1603.04030 [math.CV] 13 March 2016, 100 pp.
Agler, J., Lykova, Z.A. and Young, N.J.,
Finite Blaschke products and the construction of rational $\Gamma$-inner functions, arXiv: 1505.02415 [math.CV] 12 May 2015, 35 pp.
Agler, J., Lykova, Z.A. and Young, N.J., Algebraic and geometric aspects of rational $\Gamma$-inner functions, arXiv: 1502.04216 [math.CV] 17 Febr. 2015, 22 pp.
Agler, J., Lykova, Z.A. and Young, The complex geometry of a domain related to mu-synthesis, Journal of Mathematical Analysis and Applications, 2015, 422, 508--543; published online DOI: 10.1016/j.jmaa.2014.08.051 (1st Sept 2014)
(arXiv: 1403.1960v1 [math.CV]).
Agler, J., Lykova, Z.A. and Young, N.J., 3-extremal holomorphic maps and the symmetrised bidisc, Journal of Geometric Analysis,
2015, 25 (3), 2060-2102; published online DOI: 10.1007/s12220-014-9504-3 (15 July 2014) (arXiv: 1307.7081v1 [math.CV]).
Agler, J., Lykova, Z.A. and Young, N.J.
A case of mu-synthesis as a quadratic semidefinite program,
SIAM Journal on Control and Optimization, 2013, 51(3), 2472-2508; http://dx.doi.org/10.1137/120873248.
Agler, J., Lykova, Z.A. and Young, N.J.
Extremal holomorphic maps and the symmetrised bidisc, Proceedings of the London Math. Soc., 2013, 106 (4), 781-818; available online doi: 10.1112/plms/pds049.
Cushing, D. and Lykova, Z.A. Projectivity of Banach and C*-algebras of continuous fields, The Quarterly Journal of Mathematics, 2013, 64(2), 341-371; available online doi:10.1093/qmath/has005.
Lykova, Z.A. The higher-dimensional amenability of tensor products of Banach algebras, Journal of Operator Theory 2012, 67(1), 73-100.
Agler, J., Lykova, Z.A. and Young, N.J. Pseudo-Taylor expansions and the Carathéodory-Fejér problem, Journal of Mathematical Analysis and Applications, 2012, 386, 308-318; available online doi:10.1016/j.jmaa.2011.08.001.
Agler, J., Lykova, Z.A. and Young, N.J. The boundary Carathéodory-Fejér interpolation problem, Journal of Mathematical Analysis and Applications, 2011, 382(2), 645-662; available online doi:10.1016/j.jmaa.2011.04.071.
Lykova, Z.A. Hochschild cohomology of tensor products of topological algebras, Proceedings of the Edinburgh Math. Soc. 2010, 53(2), 447-470.
Lykova, Z.A. Cyclic cohomology of certain nuclear Fréchet and DF-algebras, Central European Journal of Math. 2008, 6(3), 405-421.
Lykova, Z.A. Cyclic-type cohomology of strict inductive limits of Fréchet algebras, Journal of Pure and Applied Algebra 2006, 205, 471-497.
Lykova, Z.A. Cyclic cohomology of projective limits of
topological algebras, Proceedings of
the Edinburgh Mathematical Society 2006, 49, 173-199.
Gourdeau, F., Lykova, Z.A. and White, M.C. A Kunneth formula in topological homology and its applications to the simplicial cohomology of l1(Zk+), Studia Mathematica 2005, 166, 29-54.
Gourdeau, F., Lykova, Z.A. and White, M.C. The simplicial cohomology of L1(Rk+). Contemporary Mathematics of the American Mathematical Society 2004, 363, 95-109.
Lykova, Z.A. Relations between the homologies of C*-algebras and
their commutative C*-subalgebras. Mathematical Proceedings of the Cambridge Philosophical Society 2002, 132, 155-168.
Brodzki, J. and Lykova, Z.A. Excision in cyclic type homology
of Fréchet algebras. Bulletin of the
London Mathematical Society 2001, 33, 283-291.
Bade, W.G., Dales, H.G., Lykova, Z.A. Algebraic and strong
splittings of extensions of Banach algebras. Memoirs of the
American Mathematical Society 1999, 137, 1-113.
Lykova, Z.A. Relative cohomology of Banach algebras.
J. Operator Theory 1999, 41, 23-53.
Research Council Boards, Editorial Boards, Conferences and Meetings - Scientific and Organising
Member of the reviewers panel of the Natural Sciences and Engineering Research Council of Canada since 2007.
Coorganiser (jointly with Prof. Jim Agler (UCSD, U.S.A.) and Prof. N. J. Young (Leeds/Newcastle University, UK)) of the ICMS international workshop Function theory in several complex variables in relation to modelling uncertainty, 21-25 July 2014, Edinburgh, UK. It is funded
by Heriot-Watt University, the University of Edinburgh, Newcastle University and EPSRC.
Coorganiser of the Theme Operator Spaces, Locally Compact Quantum Groups and Amenability of Six Month Thematic Program Abstract Harmonic Analysis, Banach and Operator Algebras at the Fields Institute, Canada, May 2014. Principal Organisers: Prof. Neufang Matthias (Lille, France), Prof. Anthony Lau (Edmonton, Alberta, Canada), Prof. Volker Runde (Edmonton, Alberta, Canada).
Member of the Scientific Committee of the 21st International Conference on Banach Algebras, Goteborg, Sweden, August, 2013.
* 25-30 June 2016. The norm-preserving extension property in the symmetrized bidisc G and von Neumann-type inequalities for Gamma-contractions.
XXV St. Petersburg Summer Meeting in Mathematical Analysis Tribute to Victor Havin -- Euler International Mathematical Institute, Saint-Petersburg, Russia.
1-4 June 2015. Algebraic and geometric aspects of rational Gamma-inner functions . The International Conference on Harmonic and Functional Analysis, Operator Theory and Applications -- Bordeaux, France. ~
14-17 July 2014. A rich structure related to the construction of analytic matrix functions. The 25th International Workshop on Operator Theory and its Applications (IWOTA 2014) -- Amsterdam, the Netherlands.~ http://www.math.vu.nl/~ran/iwota2014/
*15-19 December 2012. Extremal holomorphic maps and the symmetrised bidisc . Plenary talk at the International Conference on Operator Theory and Applications organized by Functional Analisys teams of University Lille 1, France, and University Mohammed I,-- Oujda, Morocco.
*2 May, 2012. Topologically pure extensions of Frechet algebras and applications to homology. Noncommutative geometry, Analysis and Groups (NAG) seminar supported by LMS, Nottingham-Leeds-Sheffield.
7-11 June, 2010. The Hochschild and cyclic cohomology of biflat topological algebras. An invited session speaker, session ``Topological and Banach algebras", International Functional Analysis Meeting in Valencia, Spain.
*24-26 June, 2008. The Kunneth formula for Hochschild
cohomology of topological algebras. The 5th Advanced Course in Operator Theory and Complex Analysis -- Seville, Spain http://congreso.us.es/ceacyto/2008/
24-27 Jan, 2008. The Kunneth formula for Hochschild cohomology of topological algebras. The 6th International Conference on Topological Algebras and Applications -- Tartu, Estonia http://math.ut.ee/pmi/ictaa/
Recent Invited seminars in Mathematics Departments:
Britain: Leeds, 2014; Glasgow, 2014; Queen Mary Univ. London 2014; Belfast, 2013; Manchester, 2009; Lancaster, 2006;
Czech Republic: Prague, 2011;
France: Lille, 2004;
Taiwan: Tunghai University, Taichung, 2003;
Academia Sinica, Taipai, 2003;
Recent Research Visits:
18-24 June 2016, Chebyshev Laboratory at St.Petersburg State University, Saint-Petersburg, Russia.
April-May 2016, Visiting Scholar, Department of Mathematics, University of California, San Diego, U.S.A.
17--31 May 2014, Fields Institute, Toronto, Canada.
Jan 2013, Dec 2011 - Jan 2012 and Sept-Oct 2010, Visiting Scholar, Department of Mathematics, University of California, San Diego, U.S.A.
Nov 2011, Institute of Mathematics of the Academy
of Sciences of the Czech Republic, Prague.