Dr Zinaida A Lykova

Reader in Pure Mathematics

Phone: +44 (0)191 222 6479

Department FAX: +44 (0)191 222 8020

Email: Zinaida.Lykova@ncl.ac.uk

Room: 3.13

Address:

School of Mathematics and Statistics
Newcastle University
Newcastle upon Tyne
NE1 7RU

Roles and Responsibilities:

• Research group leader, Pure group, 2012 - present
• Degree Programme Director Year 3, 2011 - present
• Member of the Editorial Advisory Board of the International Open Access Electronic Journal ``Topological Algebras and its Applications" 2012 - present; http://versita.com/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/
• 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 and the University of Edinburgh and EPSRC.
• Member of the Scientific Committee of the 21st International Conference on Banach Algebras, Goteborg, Sweden, August, 2013.
• Member of the Steering Committee of the Internatinal Conference on Banach Algebras and their Applications, 2005 - present.

Qualifications:

• BSc, MSc, D.Phil., Moscow State University
• Dotsent, the State Committee of the Russian Feredation for Higher Education

Languages:

• Russian, English

Research interests:

• Functional analysis, particularly topological algebras
• Complex Variable, particularly boundary interpolation problems
• Homological theory of topological algebras
• Cyclic type (co)homology of topological algebras
• Higher-dimensional amenability of Banach algebras
• Extensions of topological algebras
• C*-algebras

Statement of Research Interests and References

http://www.mas.ncl.ac.uk/~nzal/srimyprofiles09.pdf

Recent Publication:

• Agler, J., Lykova, Z.A. and Young, N.J. A case of mu-synthesis as a quadratic semidefinite program, accepted for publication in SIAM Journal on Control and Optimization, 38 pp.
• 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(Z^k+), Studia Mathematica 2005, 166, 29-54.
• Gourdeau, F., Lykova, Z.A. and White, M.C. The simplicial cohomology of L¹(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.
• Lykova, Z.A. Examples of Banach algebras over commutative Banach algebras with given homological dimension. Communications in Algebra 1998, 26(6), 1779-1793.
• Lykova, Z.A. Excision in Banach simplicial and cyclic cohomology groups. Proceedings of the Edinburgh Math. Soc 1998, 41, 411-427.
• Lykova, Z.A. and White, M. C. Excision in cohomology of Banach algebras with coefficients in dual bimodules. In Banach Algebras'97. Walter de Gruyter Publishers, 1998, 341-361.

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.
• Member of the Editorial Board of ``Banach Journal of Mathematical Analysis" 2007-2010 http://www.emis.de/journals/BJMA/
• Member of the Scientific Committee of the 20th International Conference on Banach Algebras 2011, Waterloo, Canada, 3-10 August, 2011; http://www.math.uwaterloo.ca/~banalg20/index.shtml
• 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

• *25-28 March 2013. Amenability of Banach algebras. Morning speaker at the British 65th Mathematical Colloquium, Sheffield. http://www.sheffield.ac.uk/maths/bmc2013/
• *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. http://mathinfo-fso.ump.ma/citoa/
• 16-20 July 2012. Extremal holomorphic maps and the symmetrised bidisc . The 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012) -- Sydney, Australia. http://conferences.science.unsw.edu.au/IWOTA2012/
• *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. http://www.mitchener.staff.shef.ac.uk/NAG.html
• *30 Aug - 3 Sept, 2011. Pseudo-Taylor expansions and the Carathéodory-Fejér problem. Recent Trends in Analysis -- Bordeaux, France. http://analyse2011.math.cnrs.fr/index.php
• 3 - 10 Aug, 2011. The projectivity of C^*-algebras and the topology of their spectra. The 20th International Conference on Banach Algebras -- Waterloo, Ontario, Canada. http://www.math.uwaterloo.ca/~banalg20/index.shtml
• 4 - 8 July, 2011. Pseudo-Taylor expansions and the Carathéodory-Fejér problem. The 22nd International Workshop on Operator Theory and its Applications (IWOTA 2011) -- Seville, Spain. http://congreso.us.es/iwota2011/pages/schedule.html
• *30 Aug - 3 Sept, 2010. On higher-dimensional amenability of Banach algebras. Summer School in Analysis - Touquet 2010 -- Le Touquet, France. http://math.univ-lille1.fr/~touquet/en.html
• *28-30 June, 2010. On higher-dimensional amenability of Banach algebras. Banach algebra and operator space techniques in topological group theory, Second Conference -- Leeds, U.K. http://www.maths.leeds.ac.uk/pure/analysis/conf1/conf1.html
• 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. http://www.adeit.uv.es/fav2010/index.php
• *18-22 May, 2010. On higher-dimensional amenability of Banach algebras. Plenary talk at the 6th Conference on Function Spaces at SIUE -- Edwardsville, Illinois, U.S.A. http://www.siue.edu/MATH/conference2010/schedule.html
• *14-24 July, 2009. The higher-dimensional amenability of tensor products of Banach algebras. The 19th International Conference on Banach Algebras -- Bedlewo, Poland. http://www.siue.edu/MATH/BA2009/
• 2-6 June, 2009. The higher-dimensional amenability of tensor products of Banach algebras. The 29th Annual Great Plains Operator Theory Symposium -- Boulder, Colorado, U.S.A. http://www.colorado.edu/math/gpots2009/index.html
• *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: Belfast, 2013; Lancaster, 2006; Manchester, 2009;
• Czech Republic: Prague, 2011;
• France: Lille, 2004;
• Taiwan: Tunghai University, Taichung, 2003; Academia Sinica, Taipai, 2003;

Recent Research Visits:

• 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.
• July-Dec 2006, Visiting Fellow in the Programme on Noncommutative Geometry at the Newton Institute, U.K. http://www.newton.cam.ac.uk/programmes/NCG/index.html/
• July - Aug 2005, Visiting Scholar, Department of Mathematics, University of California, San Diego, U.S.A.
• April 2004, University of Lille, France.
• April 2003, Visiting Professor, Tunghai University, Academia Sinica, National Tsing Hua University, National Cheng Kung University, Taiwan.

Research student:

• David Cushing http://www.students.ncl.ac.uk/david.cushing/

Undergraduate Teaching 2012/13:

• MAS3207 Linear Analysis http://www.ncl.ac.uk/undergraduate/modules/module/MAS3207
• MAS8220 Topology and Functional Analysis http://www.ncl.ac.uk/undergraduate/modules/module/MAS8220
• Further teaching informaton http://www.mas.ncl.ac.uk/~nzal/teaching.html

Recent Roles and Responsibilities:

• Member of the School Management Committee, 2012
• Degree Programme Director Year 2, 2007-2010
• DPD of MSc in Financial Mathematics with Management, 2004-2006 http://www.ncl.ac.uk/math/postgrad/financial_maths/
• Chairman of Board of Studies for MSc in Financial Mathematics with Management, 2004-2006
• Handbook for MSc in Financial Mathematics with Management, 2004-2006
• Treasurer of the British Mathematical Colloquium in Newcastle, 2006 http://www.ncl.ac.uk/bmc06/
• Member of the School Postgraduate Committee, 2004-2006

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