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Union of the Physicists in Bulgaria
Memoirs

Created 26.12.2022
Updated 28.5.2024
Biography
Alexander Christov Ganchev
(17.10.1955 - 13.11.2022)



Born in Sofia

Education

He graduated M.Sc. in Physics at the Sofia University (1977)

The subject of his Ph.D. in Mathematics at the Virginia Polytechnic Institute and State University, U.S.A. is "Boundary value and Wiener-Hopf problems for abstract kinetic equations with nonregular collision operators" (1986)

Research

Mathematical physics: conformal field theory, representation theory, q-groups, category theory in physics

Lie algebras and representations, category theory, financial calculus, real analysis, complex analysis, differential geometry

Calculus, linear algebra, finite mathematics

Professional experience

Associate Professor at the BAS Institute for nuclear research and nuclear energy

Associate Professor at the American University in Blagoevgrad

Teaching Activities

Calculus I, MAT 103b

Real Analysis, MAT 315a

Calculus I, MAT 103c

Publication

Books

  1. V. Dobrev, A. Ganchev (Eds), I. Todorov, Fifty Years of Mathematical Physics (1958-2008), Heron Press (2008)

  2. V. Dobrev, A. Ganchev (Eds), I. Todorov, Fifty years of mathematical physics, 1958-2008 students and collaborators (2 vols), Heron Press (2008)

  3. A. Ganchev, R. Kerner, I. Todorov (Eds), New trends in quantum field theory, Proceedings of the 2nd Bulgarian Workshop, Razlog, Bulgaria, 28 August-1 September 1995, Heron Press (1996)

  4. A. Ganchev, Boundary value and Wiener-Hopf problems for abstract kinetic equations with nonregular collision operators, Dissertation (1986)

Articles

  1. A. Ganchev, On invertible objects in tensor categories. The European Physical Journal B (29) 173-176 (2002)

  2. A. Ganchev, V. Petkova, G. Watts, A note on decoupling conditions for generic level sl(affine)(3)(k) and fusion rules, Nuclear Physics B, 571 (1-2) 457-478 (2000)

  3. J. Fuchs, A. Ganchev, K. Szlachinyi, P. Vecsernyus, P. (1999). S4 symmetry of 6j symbols and Frobenius-Schur indicators in rigid monoidal C + categories, Journal of Mathematical Physics, 40 (1), 408-426

  4. P. Furlan, A. Ganchev, V. Petkova, An extension of the character ring of sl(3) and its quantization, Communications in Mathematical Physics, 202 (3) 701-733 (1999)

  5. P. Furlan, A. Ganchev, V. Petkova, Fusion rules for admissible representations of affine algebras: The case of A2(1), Nuclear Physics B, 518 (3) 645-668 (1998)

  6. P. Furlan, A. Ganchev, V. Petkova, A1(1) admissible representations: Fusion transformations and local correlators, Nuclear Physics B, 491 (3) 635-658 (1997)

  7. P. Furlan, A. Ganchev, V. Petkova, Fusion rules for admissible representations of affine algebras: The Case of A2(1), Nuclear Physics B (518) 645-668 (1997)

  8. J. Fuchs, A. Ganchev, P. Vecsernyes, Rational hopf algebras: Polynomial euqations, gauge fixing, and low dimensional examples, International Journal of Modern Physics A (10) 3431-3476 (1995)

  9. P. Furlan, A. Ganchev, V. Petkova, Singular vectors of W algebras via DS reduction of A-2(1), Nuclear Physics B, 431 (3) 622-666 (1994)

  10. A. Ganchev, J. Fuchs, P. Vecsernyes, On the quantum symmetry of rational field theories, Theoretical and Mathematical Physics (98) 266-276 (1994)

  11. J. Fuchs, A. Ganchev, P. Vecsernyes, Simple WZW superselection sectors, Letters in Mathematical Physics (28) 31-42 (1993)

  12. P. Furlan, A. Ganchev, V. Petkova, On sl(3) reduction, quantum gauge transformations, and Script W sign-algebra singular vectors, Physics Letters B: Nuclear, Elementary Particle and High-Energy Physics, 318 (1) 85-91 (1993)

  13. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models, Nuclear Physics B, 394 (3) 665-706 (1993)

  14. A. Ganchev, V. Petkova, Virasoro singular vectors via quantum DS reduction, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 318 (1) 77-84 (1993)

  15. J. Fuchs, A. Ganchev, P. Vecsernyes, Level 1 WZW superselection sectors, Communications in Mathematical Physics (146) 553-584 (1992)

  16. A. Ganchev, V. Petkova, Reduction of the Knizhnik-Zamolodchikov equation: A way of producing Virasoro singular vectors, Physics Letters B, 293 (1-2) 56-66 (1992)

  17. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, Reduction of the rational spin sl (2,) WZNW conformal theory, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 267 (1) 63-70 (1991)

  18. P. Furlan, A. Ganchev, V. Petkova, Remarks on the quantum group structure of the rational c < 1 Conformal theories, International Journal of Modern Physics A (6) 4859-4884 (1991)

  19. A. Ganchev, P. Furlan, R. Paunov, V. Petkova, Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models, Nuclear Physics B (394) 665-706 (1991)

  20. V. Dobrev, A. Ganchev, Classification of modular invariant partition functions for the twisted N = 2 superconformal algebra, twisted SU(2) Kac-Moody algebra and D2K parafermions, Nuclear Physics B, 332 (3), 709-722 (1990)

  21. V. Dobrev, A. Ganchev, Modular invariants for theta functions with characteristics and the twisted N=2 superconformal and Su(2) Kac-moody Algebras, Annalen der Physics, 502 (2-3),105-115 (1990)

  22. P. Furlan, A. Ganchev, V. Petkova, Fusion matrices and c < 1 (Quasi) local conformal theories, International Journal of Modern Physics A, 5, 2721-2735 (1990)

  23. P. Furlan, A. Ganchev, V. Petkova, Quantum groups and fusion rules multiplicities, Nuclear Physics B, 343 (1) 205-227 (1990)

  24. A. Ganchev, V. Petkova, U-q(sl(2)) invariant operators and minimal theories fusion matrices, Physics Letters B, 233 (3-4) 374-388 (1989)

  25. V. Dobrev, A. Ganchev, Modular invariance for the twisted N = 2 superconformal algebra, Physics Letters A, 3 (2) 127-138 (1988)

  26. A. Ganchev, W. Greenberg, C. Van der Mee, Abstract kinetic equations with accretive collision operators, Integral Equations and Operator Theory, 11 (3) 332-350 (1988)

  27. A. Ganchev, W. Greenberg, C. Van der Mee, A class of linear kinetic equations in a Krein space setting, Integral Equations and Operator Theory, 11 (4) 518-535 (1988)

  28. A. Ganchev, W. Greenberg, Linear half space transport equations with accretive, invertible collision operators, Transport Theory and Statistical Physics (17) 93-105 (1988)

  29. V. Dobrev, A. Ganchev, O. Yordanov, Conformal operators from spinor fields: The symmetric tensor case, Physics Letters B, 119 (4-6) 372-376 (1982)

  30. A. Ganchev, S. Petrov, T. Stanev, C. Vankov, Simulation of electron-photon cascades. Iii. Lateral characteristics in lead in A wide energy interval, Bulgarian Journal of Physics (8) 129-137 (1981)

  31. A. Ganchev, T. Palev, A Lie superalgebraic interpretation of Para Bose statistics, Journal of Mathematical Physics (24) 797-799 (1980)

  32. A. Ganchev, T. Palev, A Lie superalgebraic analysis of the para-Bose statistics, Preprint JINR P2-11941 (1978) (in Russian); Journal of Mathematical Physics, 21 (4) 797-799 (1980)

Conference papers

  1. A. Ganchev, About bidirectionality in learning, control, inference, physics, Lie Theory and its Applications in Physics, XIV International Workshop, Sofia, Bulgaria, 20-26 June 2021

  2. A. Ganchev, On bulk/boundary duality and deep networks, In T. Mishonov, A. Varonov (Eds), AIP Conference Proceedings, Vol. 2075 (2019)

  3. A. Ganchev, About Markov, Gibbs and Gauge Theory in Finance. In V. Dobrev (Ed.), Springer Proceedings in Mathematics and Statistics (Vol. 263) pp. 403-412 (2018)

  4. A. Ganchev, About Arbitrage and Holonomy In V. Dobrev (Ed.), Lie Theory and Its Applications in Physics, Proceedings in Mathematics and Statistics book series (PROMS) volume 191, Varna, Bulgaria, June 2015, pp. 591–597, Springer Singapore (2016)

  5. A. Ganchev, Questions on fusion rules, In H. Doebner, V. Dobrev (Eds), Proceedings of 6th International workshop on Lie theory and its applications in physics, Sofia, Heron Press, pp. 54-57 (2006)

  6. A. Ganchev, Fusion rings and tensor categories, In S. Duplij, J. Wess (Eds), Proceedings of the NATO ARW noncommutative structures in mathematics and physics, Kiev, Kluwer Academic Publishers, pp. 295-298 (2001)

  7. A. Ganchev, On categories of Gelfand-Zelin modules, In S. Duplij, J. Wess (Eds), Proceeding of the NATO Advanced Research Workshop on Noncommutative Structures in Mathematics and Physic. Kiev, Ukraine (2001)

  8. A. Ganchev, I. Todorov, R. Kerner (Eds), Proceedings, 2nd Bulgarian Workshop, Razlog, Bulgaria, 28 August - 1 September 1995, In New Trends in Quantum Field Theory, Heron Press, p. 360 (1996)

  9. J. Fuchs, A. Ganchev, P. Vecsernyes, On the quantum symmetry of RCFT's, In J. Lukierski, Z. Popowicz, J. Sobczyk (Eds), Quantum groups, formalism and applications: Proceedings of 30th Karpacz Winter School, Polish Scientic Publishers, Warsaw, pp 473-482 (1995)

  10. A. Ganchev, Fusion rules, modular categories and rational conformal field theory, In A. Ganchev, R. Kerner, I. Todorov (Eds), New trends in quantum field theory: Proceedings of the 2nd Bulgarian Workshop, Razlog, Bulgaria, Sofia: Heron Press pp. 142-145 (1995)

  11. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, On the Drinfeld-Sokolov reduction of the Knizhnik-Zamolodchikov equation, In H. Osborn (Ed), Proceedings of workshop on low dimensional topology and quantum field theory, Newton Institute, Cambridge, New York, Plenum Press, pp. 131-140 (1993)

  12. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, Solutions of the Knizhnik-Zamolodchikov equation for Kac-Kazhdan spins and their relevance for quantum “Drinfeld-Sokolov” reduction, In E. Gava, K. Narain, S. Randjbar-Daemi, E. Sezgin, Q. Shafi (Eds), Summer school in high energyphysics and cosmology, Singapore, World Scientific (Vol. 9) pp. 390-397 (1993)

  13. P. Furlan, A. Ganchev, R. Paunov, V. Petkova, Solutions of the Knizhnik-Zamolodchikov equation and minimal model correlation functions. In C.N. Yang, M.L. Ge, & X.W. Zhou (Eds.), Proceedings of the 21st International Conference on Differential Geometric Methods in Theoretical Physics (pp.332-335). Tianjin, China (1992)

  14. P. Furlan, A. Ganchev, V. Petkova, Tensor products of q p = 1 quantum groups and WZW fusion rules. In Proceedings of the 19th International Conference on Differential Geometric Methods in Theoretical Physics (Vol. 375, pp. 379-381). Berlin: Springer (1991)

  15. A. Ganchev, P. Furlan, V. Petkova, Coulomb gas, fusion rules and quantum groups. In G. Domokos, Z. Horvath, S. Kovesi-Domokos (Eds.), Nonperturbative methods in low dimensional quantum field theory: Proceedings of 14th Johns Hopkins Workshop on Current Problems in Particle Theory (pp. 107-111). Debrecen, Hungary (1991)

  16. A. Ganchev, V. Petkova, Uq(sl(2)) Invariant operators and minimal theories fusion Matri-ces. In H.-D. Doebner & J.-D. Hennig (Eds.), Quantum Groups: Proceedings of the 8th Summer Workshop in Mathematical Physics (Vol. 370, pp. 96-106). Berlin: Springer (1991)

  17. P. Furlan, A. Ganchev, V. Petkova, Fusion rules, quantum groups and the Coulomb gas. In G. Domokos (Ed.), Nonperturbative Methods in Low Dimensional Quantum Field Theories: Proceedings of the Johns Hopkins Workshop on current Problems In Particle Theory (pp. 107-111). Debrecen, Hungary (1990)

  18. A. Ganchev, V. Petkova, Quantum group invariant operators and reduced polynomial equations. In J.C. Pati et al. (Eds.), Summer School in High Energy Physics and Cosmology (Vol. 6, pp. 389-394). Singapore: World Scientific (1990)

  19. A. Ganchev, V. Petkova, Quantum group invariant operators and reduced polynomial equations. In Proceedings, High energy physics and cosmology (pp. 389-394). Trieste, Italy (1989)

  20. V. Dobrev, A. Ganchev, On the classification of modular invariants for the twisted N = 2 superconformal algebra. In H.-D. Doebner, J.-D. Henning, & T.D. Palev (Eds.), Infinite Dimen-Sional Lie Algebras And Quantum Field Theory: Proceedings of the School and the 16th Internationall Colloquium on Group Theoretical Methods in Physics, Varna 1987. Singapore: World Scientific (1988)

  21. A. Ganchev, W. Greenberg, C. Mee, Perturbation analysis of analytic bisemigroups and applications to linear transport theory. In H. Helson & G. Arsene (Eds.), Special Classes of Linearoperators and other Topics: Proceedings of the 11th International Conference on Operator Theory [Operator Theory Advances and Applications] (pp. 83-99). Bucharest, Romania (1988)

  22. A. Ganchev, Perturbation of Bisemigroups and transport theory. In H.-D. Doebner, J.-D. Hen-ning, & T.D. Palev (Eds.), Group Theoretic Methods in Physics: Proceedings of the 16th Internationall Colloquium on Group Theoretical Methods in Physics. Varna 1987 (Vol. 313, pp. 322-325). Berlin: Springer-Verlag (1988)

  23. A. Ganchev, W. Greenberg, W., & Mee, V. C. M. Perturbation of Bisemigroups and boundary value problems for abstract kinetic equations. In V. Boffi & C. Cercignani (Vol. Eds.), Rarefied Gas Dynamics: Proceedings of the 15th International Symposium (Vol. 1, pp. 125-133). Stuttgart: B.G. Teubner (1986)

Reference

  1. Obituary

  2. Personal website

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