University of Architecture, Civil Engineering and Geodesy (UACEG)

Linear Algebra and Analytic Geometry; Calculus; Differential Equations; Descriptive Geometry; Probability and Statistics; Algorithms & Numerical Receipts, Mathematical Modelling, Data Science; high school mathematics.

2013 – 2015: PhD in Mathematics (Institute of Mechanics, Bulgarian Academy of Sciences)
2005 – 2007: MSc in Mathematics (Faculty of Mathematics and Informatics, Sofia University)
2000 – 2004: BSc in Physics – Theoretical and Mathematical (Faculty of Physics, Sofia University)
1995 – 2000: Foreign Language School “Romain Rolland”, Stara Zagora (first language: English)

Bulgarian, English - good
Russian, French - not so good
Turkish, Japanese - not good at all
Hungarian, Finnish - not at all

• Teaching mathematics, statistics and algorithms at both university and high-school level.
• Data analysis, modelling and ML applications for research projects and private contracts.

• Geometry & Mathematical physics: Clifford algebras, hypercomplex numbers, Lie groups and applications.
• Modeling and simulations of complex systems: from numerical algorithms to ML and applied data science.

1. Collective Problems in Computer Vision: Hebrew University of Jerusalem, Israel
2. Geometric Algebras and Robotics: Brno University of Technology, Czech Republic (ERASMUS)
3. Application of Hypercomplex Numbers in Geometry: Akdeniz University, Turkey (ERASMUS)
4. Geometry and Mathematical Physics: memorial conference dedicated to Prof. Vasil Tsanov
5. Alterman Conference and Summer School on Geometric Algebra and Kähler Calculus
6. International Summer School on Hypercomplex Numbers, Lie Groups and Applications
7. ‘New Trends and Applications of the Casimir Effect‘ (ESF grant), Halmstad University, Sweden.

• Reviewer for Mathematical Reviews (MathSciNet), ZbMATH, Springer, Elsevier, MDPI and others
• Jury member for appointment of academic staff
• Organization of conferences and summer schools, international research collaboration
• Recruitment and organization of regional and international students’ mathematical Olympiads
• Textbooks: Linear Algebra, Calculus II, Applied Mathematics, Statistics and Data Analysis (Python)
• Active scientific research.

1. Brezov D., On Complex Kinematics and Relativity, Adv. Appl. Cliord Algebras 32, 3 (2022).

2. Brezov D. and Werman M., Cameras Seeing Cameras Geometry, Adv. Appl. Cliord Algebras 32, 30 (2022).

3. Brezov D., Hypercomplex Algebras and Calculi Derived from Generalized Kinematics, Math. Methods Appl. Sci. 44, 17 (2021).

4. Brezov D., Factorization and Generalized Roots of Dual Complex Matrices with Rodrigues’ Formula, Adv. Appl. Clifford Algebras 30, 29 (2020).

5. Brezov D., Projective View on Motion Groups I: Kinematics and Relativity, Adv. Appl. Clifford Algebras 29 (2019) 1-18.

6. Brezov D., Projective Bivector Parametrization of Isometries in Low Dimensions, Geom. Integrability & Quantization (2018) 91-104.

7. Brezov D., Optimization and Gimbal Lock Control via Shifted Decomposition of Rotations, J. Appl. Computat. Math. (2018) 7:410.

8. Brezov D., Mladenova C. and Mladenov I., From the Kinematics of Precession Motion to Generalized Rabi Cycles, Adv. Math. Phys. 2018, Article ID 9256320.

9. Mladenova C., Brezov D. and Mladenov I., Alternative Description of Rigid Body Kinematics and Quantum Mechanical Angular Momenta, Geom. Integrability & Quantization (2018) 148-158.

10. Brezov D., Higher-Dimensional Representations of SL2 and its Real Forms via Plucker Embedding, Adv. Appl. Clifford Algebras 27 (2017) 2375-2392.

11. Brezov D., Mladenova C. and Mladenov I., Factorizations in Special Relativity and Quantum Scattering on the Line, In: Advanced Computing in Industrial Mathematics 681, Springer, Berlin 2017, pp 1-14.

12. Brezov D., Mladenova C. and Mladenov I., Variations of (Pseudo-)Rotations and the Laplace-Beltrami Operator on Homogeneous Spaces, AIP Conf. Proc. 1684 (2015) 080002-1–080002-13.

13. Brezov D., Mladenova C. and Mladenov I., Wigner Rotation and Thomas Precession: Geometric Phases and Related Physical Theories, J. Korean Phys. Soc. 66 (2015) 1656-1663.