1973-1981
Theory of Categories
Charles Ehresmann
A Great Man and Mathematician
Research, aimed to develop some ideas of Charles Ehresmann.
Ph.D. in Mathematics in 1985,
for papers on Ehresmann's Category Theory
1981-1984
Deterministic Quantum Mechanics
Quantum Mechanics on deterministic basis,
Prediction of the Future,
Quantum Microscope.
1984-1986
Genetics
New genetic models, aimed to produce new kind of life.
1986-1997
Algebra, Mathematical Logic, Computer Science
Partial groupoids, Semigroups, Finite axiomatizability,
Rewriting systems.
Associate Professor of Algebra in 1997 for papers on Algebra.
1997-1999
Mathematical Foundations of Computer Science
Automated reasoning, Formal Language Theory, Voice Recognition,
Knowledge management, Artificial intelligence.
Associate Professor of Mathematics in 2002 for papers on
Mathematics and Computer Science.
1999-2005
Software Development
HTML, CSS, XML, JavaScript, PHP, MySQL,
Java, C/C++
Selected Educational Computer Programs:
Abacus (Smetalo) (Bulgarian) (2001)
Invoice for Electric Energy (Bulgarian) (2002)
Linear Systems (2003)
Inverse Matrices (2003)
Solving Triangles (2004)
Geometric Constructions (2004)
Coordinate Geometry (2005)
2006-
Computer-Generated Knowledge
Computer-Generated Encyclopedia of Euclidean Geometry (2006)
Machine for Questions and Answers (2006)
Machine for Questions and Answers, Second Edition