CURRICULUM  VITAE

 Dimitrina Ninova Stavrova

Highest Degree:

            1981: Ph.D. from “St. Kliment Ohridski” University of Sofia.

Title of the thesis: “Cardinal Invariants for Neighbourhood Spaces”.

Thesis referees: Prof. Dr. Peter Kenderov and Prof. Dr. Nikolay Hadjiivanov.

Recognitions:

Fulbright Senior Research Grant - awarded in 1994/1995 academic year. Spent in Auburn University, Auburn, AL.

Membership in Professional Societies:

            -Member of the American Mathematical Society since 1995.

            -Member of the Union of Bulgarian Scientists since 1986.

            -Member of the Union of Bulgarian Mathematicians since 1976.

Positions held:

            2011- Teaching Fellow, Department of Mathematics, University of Leicester, Leicester, UK

            2004 - Principal Assistant Professor, Sofia University “St. Kliment Ohridski”,    Department of Mathematics and Informatics, Division of Theoretical Mechanics, Division of Complex Analysis and Topology, and Division of Computer Informatics, Sofia, Bulgaria.

            1999-2004: Visiting Assistant Professor, Miami University, Department of Mathematics and Statistics, Oxford, Ohio, USA.

            1988-1999: Principal Assistant Professor, Department of Mathematics and Informatics, Division of Complex Analysis and Topology, Sofia University “St. Kliment Ohridski”, Sofia, Bulgaria.

            1985-1988: Assistant Professor - medium rank, Sofia University "St. Kliment Ohridski", Department of Mathematics and Informatics, Division of Topology, Sofia, Bulgaria .

            1984-1985: Assistant Professor -  junior rank, Sofia University “St. Kliment Ohridski” Deaprtment of Mathematics and Mechanics, Division of Topology, Sofia, Bulgaria.

            1982-1984: Researcher, Institute of Mathematics, Bulgarian Academy of Sciences, Section on Topology, Sofia, Bulgaria.

Professional duties:

 I. University of Leicester:

Teaching:

- MA4161 Galois Theory - Spring 2011

- MA3121 Compex Analysis - Fall 2011

- MA2510 Investigations in Maths - Fall 2011

- MA3511 Communicating Maths - Spring 2012

- MA4102 Computational Topology - Spring 2012

Administrative duties:

Tutor of Admission

Euler House Tutor and Personal Tutor

II. Previously:

1. Teaching:

Sofia University “St. Kliment Ohridski”:

            - Analysis/Calculus I and II – all years throughout

- Computational Topology (application of Algebraic Topology in Computer         Science - developed and taught since 2005/2006)

- Foundations of Theoretical Computational Topology (since 2008/2009)

- Applications of Topology in Computer Graphing (for Master degree)

- Mathematics for Ecology (since September 2010)

- Introduction to the Topology of Metrisable Spaces (since 2004/2005).

- Introduction to Set Theory and Topology

- Cardinal invariants for topological spaces (for Master’s and PhD degree)

Miami University, Oxford, Ohio, USA (1999-2004):

- Calculus 151 /Analysis (1999-2004)

- Introduction to Topology (graduate course for Master degree,2003/2004).

2. Supervising:

            2009-2010 - Master student in Computer Graphics (Thesis defended September 2010).

            2006-2008 - Master student in Computer-based teaching of Analysis.

            1992/1993 and 1993/1994 – Master student in Topology. My student - Ivajlo Kortezov wrote three publications based on the results obtained in his diploma work. They were published in Comptes Rendue of the Bulgarian Academy of Sciences and Questions and Answers in General Topology, Japan.

            Since 2005/2006 I have been supervising course projects for students in Computational Topology (approximately 12 teams of 7-8 students each, yearly). In 2009 and 2010 several of my students got European Union Awards for their student projects.

3. Other duties: 

Referee’s duties:

Master Thesis referee in the field of Topology.

Reviewer of Mathematical Review  and Zentralblat in the field of General Topology.

Referee of Mathematical Balkanika, Questions and Answers in General Topology, Tamkang Journal of Mathematics, Fundamenta Matematicae, Topology and its Applications, Topology Proceedings.

 Organisational and administrative:

            Main organiser of the Topology Conference, Primorsko, Bulgaria, 1984

            Organiser of the Topology Conference, Varna, Bulgaria, 1991

            Member of the Program Committee of the 30-th Spring Conference of the Union of Bulgarian Mathematicians – 1998.

            Member of the Executive Board of The Bulgarian Fulbright Alumnae Association, 1998-1999.

Hypertext Editor of “Topology Atlas” - an Internet WWW site for topology - http://www.at.yorku.ca/  , 1995-1998.

III. Invited professional talks:

            -2009, December: Oxford University, Oxford UK – Talk at the seminar of Analytic Topology group.

            -2008, December: Oxford University, Oxford UK – Talk at the seminar of Analytic Topology group.

            -2000, Spring: Miami University, Topology Research Seminar - 8 talks

            -1999, November: Miami University, Department of Mathematics and Statistics, Oxford, Ohio (Colloquial Talk)

            -1996, May: Talk at the Second Fulbright Conference in Europe, Sofia.

            -1995, October: Talk at “St. Kliment Ohridski” University of Sofia during the Scientific Session devoted to the University patron - St. Kliment Ohridski.

            -1995, June: Talk at the Institute of Mathematics of Oxford University, Oxford, UK (during my one-week visit at Merton College)

            -1995, May: Auburn University, Department of Mathematics (Colloquial talk presenting main results obtained during my Fulbright Research work there)

            -1994/1995: Two talks at the Topology Seminar at Auburn University (chaired by Prof. Gary Gruenhage)

            -1995, February: University of Kansas, Department of Mathematics, Lawrence, Kansas, USA (Colloquial departmental talk and a talk at the Topology Seminar).

            -1995, January: Sofia University, Department of Mathematics (Talk at the Logic Seminar).

            -1994, December: Talk at the Joint Logic Seminar of Sofia University and Institute of Mathematics of the Bulgarian Academy of Sciences.

IV. Talks at the International Professional Conferences:

-Contributed talk at the TOPOSYM 2011, 11th International Prague Topological Symposium, August 2011.

-Contributed talk at the Spring Scientific Session, Sofia University, 2009.

-Contributed talk at the Section of Topology at Phoenix AMS Meeting, January 2004.

-Contributed talk at the Section of Topology at San Diego AMS Meeting, January 2002.

-Contributed talk at TOPO2000 - 2000 Summer Conference on Topology and its Applications, Oxford, Ohio, USA, July 2000.

-Contributed talk at the Spring Conference in Topology and Dynamical Systems, San Antonio, Texas, USA, March, 2000.

-Contributed talk at the 8-Th Prague International Topological Symposium, Prague, Czech Republic, August, 1996.

-Contributed talk at the Sofia-Nish Topology Seminar, Gjulechica, Bulgaria June, 1995.

-Contributed talk at the Spring Conference in Topology and Dynamical Systems, Newark, Delaware, USA, April, 1995.

-Contributed talk at the International Colloquium in Topology, Szeksart, Hungary, September, 1994

-Contributed talk at Sofia-Nish Topology Seminar, Sofia, Bulgaria, October, 1991.

-Contributed talk at the International School in Topology, Varna, Sofia, Bulgaria, September, 1990.

-Contributed talk at the International Conference in Topology, Baku, USSR, October, 1987.

V. Long Term Professional Visits:

-1999-2004, Miami University, Department of Mathematics and Statistics, Oxford, OH, Visiting Assistant Professor.

-1994/1995(September-June), Auburn University, Department of Mathematics , Auburn University, Auburn, Alabama, USA; Fulbright Senior Research Grant #18723; Faculty Associate - Prof. Gary Gruenhage; Title of the Research project - “Cardinal Functions for Topological and General Spaces - ZFC and Model Approach”.

-1994, Guest-Professor, TEMPUS project; Athens University, Department of Mathematics, Athens, Greece, June, 1995.

-1990, Visit at Moscow State University, Moscow, Russia, Department of Mathematics, November/December.

-1986/1987, Visit at the Institute of Mathematics of the Hungarian Academy of Sciences, Budapest, Hungary (November 1988 - February 1987).

-1979, Visit at Moscow State University, Department of Mathematics, Moscow, USSR (March-June 1979): specialisation during the Ph.D. study supervised by Prof. A.Arhangelski.

VI. Short Term Professional Visits:

-Oxford University (St Edmund Hall), UK, December, 2009.

-Oxford University (St Edmund Hall), UK, December, 2008.

-Oxford University (Merton College), UK, June, 1995.

-The University of Kansas, Lawrence, Kansas, USA. February, 1995.

-Charles University, Prague, Czechoslovakia, August, 1986.

-Technical University of Graz, Austria, October, 1984.

-Banach Semester on Topology, Warsaw, Poland, June, 1984.

VII. Research:

My research is in the field of General, Set-theoretic and Computational Topology. Specifically – symmetrizable and o-metrizable spaces; cardinal invariants for topological and more general spaces; separation axioms in Topology; notion of compactness; topological simplifications of algorithms for image reconstruction; general homology theory and applications to image processing; box homology.

Research Papers:

Presently I am the author (or co-author) of about 30 scientific research papers published in refereed journals most of them with impact factor.

            Funded Research Projects:

    - 2010-2011 -  research grant “Theoretical and applied approaches in computer modelling” funded by the Research Fund of Sofia University    -          - 2009-2010 -  research grant “Theoretical and applied approaches in software development” funded by the Research Fund of Sofia University .

 - 2006-2007, 2007-2008, 2008-2009 -  research grant “Means and Principles of Computer Modeling” sponsored by the Research Fund of Sofia University .

   - Summer of 2002 - research grant from Miami University, Oxford, Ohio for conducting joint research with Prof. Sheldon Davis, Miami University.

    - 1994-1997 - research project in the field of General Topological and Related Structures - supported by Grant#MM427/1994-1997 from the National Scientific Foundation at the Bulgarian Ministry of Science and Education.

     - Research project in the field of General and Set-Theoretical Topology - supported by Grant#MM28/1991-1994 from the National Scientific Foundation at the Bulgarian Ministry of Science and Education.

       - Research project in the field of Set-Theoretic Topology supported by Grant #19/1993-94 from the Scientific Research Foundation of “St. Kliment Ohridski” University of Sofia.

         - Research project in the field of General Topology, - supported by Grant #36/1988-1990 from the Bulgarian Ministry of Science and Education.

         - Research project in the field of General Topology - supported by Grant #45/1985-1988 from the Bulgarian Ministry of Science and Education.

          - Joint Austro-Bulgarian research project in the field of General Topology and the Applications of the Theory of Symmetrisable Spaces into Physics and space-time continuum models between the Institute of Mathematics of the Bulgarian Academy of Sciences and Graz University sponsored by the Austro-Bulgarian Program for Scientific and Cultural Development.

List of publications of Dimitrina N. Stavrova

In refereed journals:

1. On the notion of compactness in computational topology, Mathematics and mathematical education, Proceedings of 39^th Spring Conference of UBM, Sofia , Bulgarian Academy of Sciences, April 2010, http://www.math.bas.bg/smb/2010_PK/tom/index.html , www.math.bas.bg/smb/2010_PK/tom/pdf/292-299.pdf

2. Sheldon Davis, Dimitrina Stavrova, Covering properties of Symmetrizable spaces, Comptes rendus de l’Acade'mie bulgare des Sciences Vol 62 No8, 2009, pp.923-928. http://www.proceedings.bas.bg/

3. Separation pseudocharacter and cardinality of topological spaces, Topology Proceedings, vol 25, Summer 2002, 333-343. http://topology.auburn.edu/tp/reprints/TPauthorIndex2.htm

4. J.Dontchev, S.Popvassilev, D.Stavrova, On the h-expansion  for the co-semi-regularization and mildly Hausdorff spaces, Acta Mathematica Hungarica, v.80 (1-2) 1998, 9-19. http://www.akkrt.hu/main.php?folderID=1601&articleID=3896&ctag=articlelist&iid=1

5. Cardinal invariants for topological spaces with a selected subset - an unified approach, Comptes rendus de l'Academie Bulgare des Sciences, v.50:11, 1997, 5-8. http://www.proceedings.bas.bg/

6. Unified approach to the theory of topological cardinal invariants, Comptes rendus de l'Academie Bulgare des Sciences, v.50:6,(1997), 5-8.

7. Improvements of cardinal inequality for topological spaces and k-structures, New Zealand Journal of Mathematics, v24 (1995) , 81 - 86 . MR96j:54007 (J.M.Aarts)

http://nzjm.math.auckland.ac.nz/index.php/New_Zealand_Journal_of_Mathematics

8. Archangel'skij inequality without Hausdorfness, Comptes rendus de l'Academie Bulgare des Sciences, v.48 no7, 1994, 23-24. http://www.proceedings.bas.bg/

9. A.A.Gryzlov and D.N.Stavrova, Cardinal functions  or topological spaces with a selected subset, Commentationes Mathematicae Universitatis Carolinae, v.35:3 (1994), 525-531. MR95m:54004 (Gary Gruenhage); Zbl 869.54007. http://www.karlin.mff.cuni.cz/cmuc/cmucemis/cmucemis.html

10. Cardinal functions for k-structures, Publications Mathematicae Debrecen, v.44, fasc.3-4, 1994, 359-366; MR95e:54008;Zbl 851.54004. http://www.math.klte.hu/publi/

11. Upper bounds for cardinality of topological spaces with a select subset, Bolyai Society, Mathematical Studies,4 ; Topology with Application, Szekszard (Hungary),1993, pp 445-448. MR96m:54009 (A. H. Stone); Zbl 884.54003 (Lj.Kocinac).

12. A.A.Gryzlov and D.N.Stavrova, Topological spaces with a selected subset - cardinal invariants and inequalities, Comptes rendus de l'Academie Bulgare des Sciences, v.46 no7, 1993, 17-19 .Zbl 809.54002 (J.Nikiel). http://www.proceedings.bas.bg/

13. Cardinal functions and inequalities for topological spaces and k-structures, Comptes rendus de l'Academie Bulgare des Sciences, v.46 no7, 1993, 13-16 ; Zbl797.54009 . Zbl 797.54009.

14. Archangel'skii's theorem a la Zorn, Comptes Rendus de l'Academie bulgare des Sciences, 1993, v.46, no1, 17-18 ; MR95d:54005 (from the text); Zbl 826.54021 (from the text).

15. On the cardinality of topological spaces, Questions and Answers in General Topology ,1993, v.11 no 1, 127-132 ; MR94a:54013 (L.Kocinac); Zbl 816.54002 (K.Iseki) .

http://qagt.za.org/home  

16. A.Archangel'skii and D.N. Stavrova, On a common generalization of k-spaces and spaces with a countable tightness, Topology and Its Application, v.51, 1993 , 261-268. ; MR94g:54001 (Michael Tkacenko); Zbl 846.54002 (E.R.Unger) .

http://www.elsevier.com/wps/find/journaldescription.cws_home/505624/description#description

17. On a theorem of de Groot about cardinality of topological spaces, Comptes rendus de l'Academie bulgare des Sciences, v.45 ,no 11, 1992, 5-6. ;MR94k:54005 (Richard Wilson); Zbl 785.54003 .

18. A new inequality for the cardinality of topological spaces , Mathematics and mathematical education, Proceedings of he 20th Spring Conference of the Union of Bulgarian Mathematicians , 1991, Sofia, Bulgarian Academy of Sciences, 1991, 142 -144.

19. On a generalization of Lindelof number for topological and neighbourhood spaces, Mathematics and mathematical education, Proceedings of the 18th Spring Conference of the Union of Bulgarian Mathematicians , 1989, Sofia, Bulgarian Academy of Sciences, 1989, 197-200; MR90h:54003 (Richard Wilson).

20. On some more cardinal invariants and inequalities for neighbourhood spaces, Mathematics and mathematical education, Proceedings of the 16th Spring Conference of Union of Bulgarian Mathematicians, 1987, Sofia, Bulgarian Academy of Sciences, 1987, 273-278; MR90e:54005 (P.A.Biryakov); Zbl 638.54005; RJ1987:12A491 .

21. H-closed neighbourhood spaces, Mathematics and mathematical education, Proceedings of the 15th Spring Conference of the Union of Bulgarian Mathematicians, 1986, Sofia , Bulgarian Academy of Sciences, 1986, 301 - 306 ; MR88g:55008 (Mohammad Ismail); Zbl 618.54022 ; RJ1987:3A568 .

22. B.Pasynkov, D.N.Stavrova and L. Bobkov, On spaces that are near to the locally finite dimensional ones, Proceedings of the Tiraspol Topological Symposium, 1985, 25 - 26. (in Russian)

23. On submetrizability of separable normal strongly o-metrizable spaces, Mathematics and mathematical education, Proceedings of the 14th Spring Conference of Union of Bulgarian Mathematicians , 1985, Sofia, Bulgarian Academy of Sciences, 1985, 289 - 290; MR87c:54040 (summary) ; Zbl 592.54029 (summary) ; RJ1985:10A518 .

24. Co-Hausdorff o-metrizable spaces and cardinal invariants, Berichte der Mathematisch-Statistischen section in der Forschungsgeschlischaft Joannem, Graz, no 239, 1985. MR87d:54056(R. Hodel) ; RJ1985:12A558 .

25. The theory of cardinal invariants for neighborhood spaces, Pliska, Bulgarian Mathematical Studia, v.6, 1983, 47 - 62; MR85j:54002 (Roman Fric);

Zbl 573.54003; (in Russian)  http://www.math.bas.bg/~pliska/

26. Two theorems about the cardinality of neighborhood spaces, Mathematics and mathematical education, Proceedings of the 10th Spring Conference of the Union of Bulgarian Mathematicians, 1981, Sofia, Bulgarian Academy of Sciences, 1981, 190-194 ; Zbl 538.54002 (J.Ceder);  in Bulgarian; English translation available)

27. Cardinal invariants for neighborhood spaces - definitions and main relationships, Comptes rendus de l'Academie bulgare des Sciences, v 33 no 4, 1980, 453-456; MR81m:54014 (Zoltan Balogh); Zbl 477.54001. (in Russian ; English  translation available)

28. Normal nonmetrizable Moore spaces, Comptes rendus de l'Academie Bulgare des Sciences, v.29, no 3, 1976, 295 - 297 ; MR56#14431(1977) (J.N.Younglove); Zbl 358.54010 (Jacob Cofner). (in Russian; English translation available)

Other:

1. Compactness-like properties in symmetrizable spaces (jointly with Sheldon Davis) – abstract, AMS Meeting, Phoenix, 2004.

2. Cardinality of o-metrizable  and symmetrizable spaces – abstract, AMS Meeting, San Diego, 2002

3. Hausdorff pseudocharacter and cardinality of topological spaces with a selected subset , 1993, preprint, the abstract appeared in the Abstracts of the Topological International Conference, Trieste, Italy, 1993.

4. Cardinal functions in topological and more general spaces, Proceedings of International Conference on Topology, Varna, 1990.

In preparation:

1. About homogeneous spaces and the Baire property of remainders (jointly with S.Nedev, M. Coban, E. Mihailova)

2. Characterization of strong paracompactness via selections and factorizations (jointly with S.Nedev, M. Coban, E. Mihailova).