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University of Structural Engineering & Architecture
(VSU) "Lyuben Karavelov" - Sofia

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Silvia Parvanova Boumova

Personal Data

Address

“Lyuben Karavelov” Civil Engineering Higher School,
Department of Mathematic,
175 Suhodolska Str., 1373 Sofia, Bulgaria

Telephone

(+359 2) 80 29 12? Fax: (+359 2) 80 29 119

e-mail

silvia.boumova@gmail.com

Education

2002

Ph. D. in Mathematics, Eindhoven University of Technology, Eindhoven, the Netherlands.

 

(PhD Thesis: Applications of polynomials to spherical codes and designs.)

1991 - 1996

M. Sc. in Mathematics, Sofia University “St. Kliment Ohridski”, Sofia, Bulgaria

Professional experience

2011 – present

Assistant Professor, “L. Karavelov” Civil Engineering Higher School, Sofia

2005-2007

American College of Sofia

1996 – present

Assistant Professor, Institute of Mathematics and Informatics

Recent Grants/Fellowships

  • 02.2003 – 05.2003, Technical University of Munchen DAAD, supervisor Prof. Werner Heise

 

  • 2001 - 2002 - Technical University of Eindhoven, supervisor Prof. Henk van Tilborg

Fields of interest

  • Algebra (Group theory, Representation theory of groups, PI algebras)

 

  • Geometry (Codes and designs in polynomial metric spaces)

 

  • Combinatorics (Spherical codes and designs in projective spaces)

 

  • Coding theory and cryptography

Lectures at international conferences and workshops

  1. First International Workshop on Optimal Codes and Related Topics, Sozopol, Bulgaria, May, 1995.

  2. Fifth International Workshop on Algebraic and Combinatorial Coding Theory, Sozopol, Bulgaria, June 1996.

  3. Second International Workshop on Optimal Codes and Related Topics, Sozopol, Bulgaria, June 9-15 1998.

  4. Sixth International Workshop on Algebraic and Combinatorial Coding Theory, Pskov, Rusia, September, 6-12, 1998.

  5. Seventh International Workshop on Algebraic and Combinatorial Coding Theory, Bansko, Bulgaria, June, 18-24, 2000.

  6. Third EuroWorkshop on Optimal Codes and Related Topics, Sunny Beach, Bulgaria, 2001.

  7. EIDMA Seminar Combinatorial Theory, Oostende, Belgium, 2001.

  8. Eighth International Workshop on Algebraic and Combinatorial Coding Theory, St. Petersburg, Rusia, September, 6-12, 2002.

  9. Ninth International Workshop on Algebraic and Combinatorial Coding Theory, Kranevo, Bulgaria, June, 19-25, 2004.

  10. Fifth International Workshop on Optimal Codes and Related Topics, White Lagoon, Bulgaria, 16-22 June, 2007.

  11. Ninth International Workshop on Algebraic and Combinatorial Coding Theory, Pamporovo, Bulgaria, June, 16-22, 2008.

  12. Fifth International Workshop on Optimal Codes and Related Topics, Varna, Bulgaria, 16-22, June, 2009.

  13. Twelfth International Workshop on Algebraic and Combinatorial Coding Theory, Akademgorodok, Novosibirsk, Russia, September, 5-11, 2010.

Membership in Professional Organizations

Union of Bulgarian Mathematicians

Languages

Bulgarian – native

English

Russian

German

 

Main publications:

 

  1. (with P. Boyvalenkov, D. Danev) On Bounds on the Minimum Distance of SphericalCodes, Proc. Intern. Workshop on Optimal Codes, Sozopol 1995, pp. 25-28.

  2. (with P. Boyvalenkov, D. Danev) Upper Bounds on the Minimum Distance of Spherical Codes, IEEE Trans. Inform. Theory, IT-42, 1996, pp. 1576-1581.

  3. (with P. Boyvalenkov, D. Danev, P. Kazakov) A Program for Obtaining Linear Programming Bounds for Spherical Codes, Proc. Fifth International Workshop ”Algebraic and Combinatorial Coding Theory”, Sozopol, Bulgaria, June 1996, pp. 68-70.

  4. (with P. Boyvalenkov, D. Donev) On the Structure of Spherical (2k)-Designs, Proc. Intern. Workshop on Optimal Codes,Sozopol 1998, pp. 33-39.

  5. (with P. Boyvalenkov, D. Danev) On (2k-1)-Designs in Polynomial metric spaces, Proc. Fifth International Workshop on Algebraic and Combinatorial Coding Theory, Pskov, Rusia, September, 1998, pp. 65-68.

  6. (with P. Boyvalenkov, D. Danev) Necessary Conditions for Existence of Designs in Polynomial Metric Space, European Journal of Combinatorics 20, 1999, pp. 213-225.

  7. (with K. Andreev, P. Boyvalenkov) Moments of spherical codes and designs, Proc. Seventh International Workshop on Algebraic and Combinatorial Coding Theory, Bansko, Bulgaria, June, 2000, pp. 29-33.

  8. (with P. Boyvalenkov, D. Danev) On spherical designs of odd strengths and cardinalities, Third EuroWorkshop on Optimal Codes, Sunny Beach, Bulgaria, 2001, pp. 29-34.

  9. (with P. Boyvalenkov, D. Danev) New nonexistence results for spherical designs, InConstructive Function Theory”, Varna 2002 (B. Bojanov, Ed.), DARBA, Sofia, 2002.

  10. (with D. Danev) On the asymptotic behaviour of a necessary condition for existence of spherical designs, Eighth International Workshop on Algebraic and Combinatorial Coding Theory, Tsarskoe Selo, Russia, 8-14 September, 2002, pp. 54-57.

  11. (with I. Landjev) On arcs in projective Hjelmslev planes Ninth International Workshop on Algebraic and Combinatorial Coding Theory, Kranevo, Bulgaria, 19-25 June, 2004.

  12. (with P. Boyvalenkov, H. Kulina, M. Stoyanova) New nonexistence results for spherical 5-designs, Fifth International Workshop on Optimal Codes and Related Topics, White Lagoon, Bulgaria, 16-22 June, 2007.

  13. (with P. Boyvalenkov, H. Kulina, M. Stoyanova) New nonexistence results for spherical 5-designs, Scientific Research, a journal of South-western University, Blagoevgrad, Bulgaria (14 pp.), 2007.

  14. (with P. Boyvalenkov, M. Stoyanova) Nonexistence results for spherical 7-designs, Eleventh International Workshop on Algebraic and Combinatorial Coding Theory June 16-22, 2008, Pamporovo, Bulgaria.

  15. (with P. Boyvalenkov, M. Stoyanova) A method for proving nonexistence of spherical designs of odd strength and odd cardinality, Problems of Information Transmission, vol. 45, No. 2, 2009, 41-55; English translation: Problems of Information Transmission 45, No. 2, 2009, pp. 110-123.

  16. 16. (with P. Boyvalenkov, H. Kulina, M. Stoyanova) Polynomial techniques for investigation of spherical designs, Designs, Codes and Cryptography, 2009, 51, No. 3, 2009, pp. 275-288.

  17. (with V. Drensky) Cocharacters of polynomial identities of upper triangular matrices, Twelfth International Workshop on Algebraic and Combinatorial Coding Theory, September 5-11, 2010, Novosibirsk, Russia.

  18. (with V. Drensky) Cocharacters of polynomial identities of upper triangular matrices, DOI No: 10.1142/S0219498811005440 Accepted 2011-04-18 .

  19. with H. Kostadinov, N. L. Manev Watermarking, Steganography, and Error-Control Codes, AIP Conference Proceedings Volume 1404, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 3rd International ConferenceAMiTaNS’11, Albena, (Bulgaria), 2025 June 2011 ISBN: 978-0-7354-0976-7, pp. 193-199

  20. (with V. Drensky) Algebraic properties of codimension series of PI-algebras, accepted in Israel Journal of Mathematics.

  21. (with F. Benanti, V. Drensky, G. Genov, and P. Koev) Computing with rational functions and applications to symmetric functions, invariant theory and PI-algebras, arXiv:1201.4448v1

[math.RA], accepted in Serdica Mathematical Journal, Ref.No. 914/21.01.2012.

 

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