School of Mathematics,
Statistics and Physics Newcastle University Newcastle upon Tyne NE1
7RU
Roles and Responsibilities:
Research group leader, Pure group, 2012 - present
Degree Programme Director Year 3, 2011 - present
MAGIC representative for Newcastle node 2016 - present
Member of the School Research Committee, 2012 - present
Member of the School Postgraduate Committee, 2016 - present
Member of the School Executive Committee, 2017 - present
Member of the Editorial Advisory Board of the International Open Access Electronic Journal ``Topological Algebras and its Applications" 2012 - present; http://www.degruyter.com/view/j/taa/
Member of the Editorial Board of the International Open Access Electronic Journal ``Annals of Functional Analysis" 2010 - present; http://www.emis.de/journals/AFA/
Agler, J., Lykova, Z.A. and Young, N.J., Characterizations of some domains via Carathéodory extremals, accepted by Journal of Geometric Analysis, arXiv:1802.09056 [math.CV] 2018, 17 pp.
Lykova, Z.A., Young, N.J., and Ajibo, A., Analytic interpolation into the tetrablock and $\mu$-synthesis problem, accepted by Operator Theory: Advances and Applications , Birkhäuser, Basel,
arXiv:1802.09067 [math.CV] 25 Febr. 2018, 12 pp.
Agler, J., Lykova, Z.A. and Young, N.J.,
Carathéodory extremal functions on the symmetrized bidisc, accepted by Operator Theory: Advances and Applications , Birkhäuser, Basel, arXiv: 1712.00749 [math.CV], December 2017, 24 pp.
Agler, J., Lykova, Z.A. and Young, N.J., Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc, accepted by Memoirs of the American Mathematical Society, August 2016, 106 pp.
arxiv: 1603.04030 [math.CV]
Agler, J., Lykova, Z.A. and Young, N.J., Algebraic and geometric aspects of rational G-inner functions, Advances in Mathematics, 2018, 328, 133-159; https://doi.org/10.1016/j.aim.2017.12.018
Brown, D.C., Lykova, Z.A. and Young, N.J., A rich structure related to the construction of holomorphic matrix functions, Journal of Functional Analysis,
2017, 272(4), 1704--1754.
http://dx.doi.org/10.1016/j.jfa.2016.11.013
Agler, J., Lykova, Z.A. and Young, N.J.,
Finite Blaschke products and the construction of rational G-inner functions,
Journal of Mathematical Analysis and Applications, 2017, 447, 1163--1196.
https://dx.doi.org/10.1016/j.jmaa.2016.10.035
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;
https://dx.doi.org/10.1016/j.jmaa.2014.08.051
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;
https://dx.doi.org/10.1007/s12220-014-9504-3
(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;
https://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 l^{1}(Z^{k}+), Studia Mathematica 2005, 166, 29-54.
Gourdeau, F., Lykova, Z.A. and White, M.C. The simplicial cohomology of L^{1}(R^{k}+). 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
Committees:
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.
http://www.icms.org.uk/workshop.php?id=292
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).
http://www.fields.utoronto.ca/programs/scientific/13-14/harmonicanalysis/
Member of the Scientific Committee of the 21st International Conference on Banach Algebras, Goteborg, Sweden, August, 2013.
Member of the Scientific Committee of the
19th Internatinal Conference on Banach Algebras, Bedlewo, Poland, 14-24 July 2009.
http://www.siue.edu/MATH/BA2009/
Member of the Organising Committee of the British Mathematical Colloquium, Newcastle upon Tyne, UK, 10-13 April 2006.
http://www.ncl.ac.uk/bmc06/
Member of the British Mathematical Colloquium Scientific Committee,
2003 - 2006
Member of the Scientific Committee of the Internatinal Conference on Banach Algebras, Bordeaux, France, 4-15 July 2005.
http://www.math.u-bordeaux.fr/ba2005/
Member of the Scientific and Organising committees of
the International Conference on Banach Algebras and Cohomology,
Newcastle, England, 23-28 June 2001.
http://www.ncl.ac.uk/icbacn/
Recent Conference Presentations:
* denotes attendance as an invited speaker with financial support
23-27 July 2018. The norm-preserving extension property in the symmetrized bidisc \Gamma and von Neumann-type inequalities for \Gamma-contractions. The 29th International Workshop on Operator Theory and its Applications (IWOTA 2018), Shanghai, China. http://iwota2018.fudan.edu.cn/
3-9 July 2017. The norm-preserving extension property in the symmetrized bidisc G and von Neumann-type inequalities for G-contractions. The 23rd International Conference on Banach Algebras and Applications, Oulu, Finland. http://www.oulu.fi/ba2017/
29 May - 2 June 2017. The norm-preserving extension property in the symmetrized bidisc G and von Neumann-type inequalities for G-contractions.
The International Conference ``Hilbert Function Spaces" -- Gargnano, Italy. https://events.unibo.it/hfs2017/
*25-30 June 2016. The norm-preserving extension property in the symmetrized bidisc G and von Neumann-type inequalities for G-contractions.
XXV St. Petersburg Summer Meeting in Mathematical Analysis Tribute to Victor Havin -- Euler International Mathematical Institute, Saint-Petersburg, Russia.
http://en.chebyshev.spbu.ru/Conferences/
1-4 June 2015. Algebraic and geometric aspects of rational G-inner functions . The International Conference on Harmonic and Functional Analysis, Operator Theory and Applications -- Bordeaux, France. ~
http://esterle.sciencesconf.org/
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/
*17-31 May 2014. Mini-course Higher-dimensional amenability of Banach algebras. 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.
http://www.fields.utoronto.ca/programs/scientific/13-14/harmonicanalysis/
*16-20 December 2013. 3-extremal holomorphic maps and the symmetrised bidisc. The 24th International Workshop on Operator Theory and its Applications (IWOTA 2013) -- Bangalore, India.
http://www.nwu.ac.za/content/iwota-2013-session
20-24 May 2013. Extremal holomorphic maps and the symmetrised bidisc. The International Conference ``Hilbert Function Spaces" -- Gargnano, Italy. http://hfs2013.dm.unibo.it/