Address:
Newcastle University
Newcastle upon Tyne
NE1 7RU
Roles and Responsibilities:
- Degree Programme Director Year 2, 2007-present
- Member of the Editorial Board of ``Banach Journal of Mathematical Analysis" since 2007 http://www.math-analysis.org/
- 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 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
- Homological theory of topological algebras
- Extensions of Banach algebras
- C*-algebras
- Cyclic type (co)homology of topological algebras
Statement of Research Interests and References
Recent Publication:
- Lykova, Z.A. The higher-dimensional amenability of tensor products of Banach algebras, Journal of Operator Theory 2011; arXiv:0904.4548v1 [math.KT] 29 Apr 2009.
- Lykova, Z.A. Hochschild cohomology of tensor products of topological algebras, Proceedings of the Edinburgh Math. Soc. 2010.
- 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.
- Lykova, Z.A., Gourdeau, F. 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. - Lykova, Z.A., Gourdeau, F. 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.
- Lykova, Z.A., Brodzki, J. 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" since 2007 http://www.math-analysis.org/
- 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 Steering Committee of the Internatinal Conference on Banach Algebras and their Applications, 2005 - present
- 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:
- *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 January, 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/
- *4-12 July, 2007. The Kunneth formula for nuclear DF-spaces and Hochschild cohomology. The 18th International Conference on Banach Algebras -- Quebec, Canada http://newton.mat.ulaval.ca/ba07/
- *30 May - 4 June, 2007. The Hochschild and cyclic cohomology of simplicially trivial topological algebras. An invited session speaker for the Summer Canadian Mathematical Society Meeting, Winnipeg, Manitoba http://www.math.ca/Events/summer07/sessions_scientific/
- *25 November, 2006. Cyclic-type cohomology of biflat topological algebras. The 17th LMS Workshop on Quantum Groups and Noncommutative Geometry --Queen Mary, University of London, U.K.
- *24 July-22 December, 2006. Cyclic cohomology of projective limits of topological algebras and Topologically pure extensions of Fréchet algebras and applications to homology, Programme on Noncommutative Geometry, Isaac Newton Institute for Mathematical Sciences -- Cambridge, U.K.
- *3-13 July, 2005. Cohomology of strict inductive limits of Fréchet algebras . The 17th International Conference on Banach Algebras and their Applications -- Bordeaux, France.
- *27 June-1 July, 2005. On cyclic-type homology of topological algebras. The 5th International Conference on Topological Algebras and their Applications -- Athens, Greece.
- 22-23 April, 2005. Cohomology of strict inductive limits of Fréchet algebras . Banach Algebras and Cohomology Meeting -- Leeds, UK.
- 17-18 June, 2004. Wedderburn decompositions of Banach algebras. International Meeting on Banach Algebras to celebrate W. G. Bade's 80th Birthday, University of California at Berkeley, U.S.A.
- *27 July-9 August, 2003. Cyclic-type cohomology of projective limits of topological algebras and External products of Hochschild cohomology of Banach algebras. The 16th International Conference on Banach Algebras and their Applications -- Edmonton, Alberta, Canada.
- *21--26 May, 2003. Projectivity of C*-algebras and topology. 3rd Conference of the European Research Network ``Analysis and Operators", Tenerife, Spain.
- 20--28 August, 2002. On cyclic type continuous homology of Fréchet algebras. International Congress of Mathematicians -- Beijing, China.
- 14--18 August, 2002. Cyclic type cohomology of Fréchet locally m-convex algebras. Operator Algebras and Applications -- Chengde, Hebei, China.
- *5--12 August, 2001. Cyclic type cohomology of some limit algebras. 15th International Conference on Banach Algebras -- Balticon. Odense, Denmark.
- 3 March, 2001. Projectivity of C*-algebras and topology. Meeting ``C*-algebras at Queen's", Queen's University, Belfast, U.K.
Recent Invited seminars in Mathematics Departments:
- Britain: Belfast, 2007; Glasgow, 1999; Lancaster, 2006; Leicester, 2001; Leeds, 2000, 2002; Manchester, 2009;
- France: Lille, 2004;
- Taiwan: Tunghai University, Taichung, 2003; Academia Sinica, Taipai, 2003;
- Venezuela: Universidad Central de Venezuela at Caracas, 1999;
- U.S.A.: University of California at San Diego, 1999.
Recent Research Visits:
- July 2001, Visiting Scholar, University of California, San Diego, U.S.A.
- April 2003, Visiting Professor, Tunghai University, Academia Sinica, National Tsing Hua University, National Cheng Kung University, Taiwan.
- July - August 2003, Visiting Scholar, Department of Mathematics, University of California, San Diego, U.S.A.
- 12--17 April 2004, University of Lille, France.
- July - August 2005, Visiting Scholar, Department of Mathematics, University of California, San Diego, U.S.A.
- July-December 2006, Visiting Fellow in the Programme on Noncommutative Geometry at the Newton Institute with financial support of over 4,400 pounds. http://www.newton.cam.ac.uk/programmes/NCG/index.html/
- December 2008, Visiting Scholar, Department of Mathematics, University of California, San Diego, U.S.A.
Undergraduate Teaching 2009/10:
- MAS3091 Group Project
http://www.ncl.ac.uk/math/undergrad/modules/module//MAS3091/2009
Further MAS3091 informaton http://www.mas.ncl.ac.uk/~nzal/teaching.html - MAS3209 Topology
http://www.ncl.ac.uk/math/undergrad/modules/module//MAS3209/2009
Further MAS3209 informaton http://www.mas.ncl.ac.uk/~nzal/teaching.html - MAS3207 Linear Analysis
http://www.ncl.ac.uk/math/undergrad/modules/module//MAS3207/2009
Further MAS3207 informaton http://www.mas.ncl.ac.uk/~nzal/teaching.html
Recent Roles and Responsibilities:
- 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
- Secretary of the Board of Examiners for MSc in Financial Mathematics with Management; 2004-2006
- Analysis Seminar Organiser; 1997-1999, 2005-2006 http://www.mas.ncl.ac.uk/~nzal/listFAS0506.pdf
School of Mathematics and Statistics WWW http://www.mas.ncl.ac.uk/math