Research interests

• Discrete Mathematics
• Uniform Distribution of Sequences
• Numerical Methods "Monte Carlo"
• Analytic Number Theory
• Differential Equations and Differential Inclusions
• Optimal Control
• Mathematical Optimization
• Numerical Analysis
• Numerical and Mathematical Modeling
• Semigroup Theory
• Transformation Semigroups
• Green's Relations
• Maximal Subsemigroup
• Computer Design
• Programming
• Methodology of Teaching Mathematics at Universities
• Management of Higher Education
• Methodology of Teaching Mathematics and Informatics
• Use of IT in teaching mathematics

International Projects

Title: Female Empowerment in Science and Technology Akademia
Project manager: Prof. Georgi Apostolov, PhD
Financing organization: EU FP7
Duration: 01.06.2012 - 31.01.2017
Participants:  Prof. Iliya Gyudzhenov, PhD

Title: Quasi - Monte Carlo integration in Hilbert spaces
Project manager:  Assoc. Prof. Vassil Grozdanov, PhD
Financing organization: Bulgarian-Slovak scientific cooperation
Duration:  2009 - 2011

National Projects

Title: Innovative methods for assessing competence in e-learning environment
Project manager:  Assoc. Prof. Daniela Dureva, PhD
Financing organization: National Science Fund of Bulgaria
Duration: 30.11.2012 - 30.11.2014
Participants:  Prof. Iliya Gyudzhenov, PhD

Title: Enhancement of professional competencies, ВС051РО001-2.1.09-0012
Project manager:  Prof. Dobrinka Todorina, DSc
Financing organization: Operational program "Human Resources Development", European Social Fund of the European Union
Duration: 23.04.2013 - 23.12.2014
Participants: Prof. Iliya Gyudzhenov, PhD - coordinator and expert

Title: Updating the curricula in Faculty of Mathematics and Natural Sciences at South-West University "Neofit Rilski" in accordance with the requirements of the labor market, BG051PO001-3.1.07-0036
Project manager:  Assoc. Prof. Elena Karastranova, PhD
Financing organization: Operational program "Human Resources Development", European Social Fund of the European Union
Duration: от 2013-10-01 до 2014
Participants:  Assoc. Prof. Ilinka Dimitrova, PhD;  Assoc. Prof. Vassil Grozdanov, PhD

Title: Students practice, BG051PO001-3.3.7-002
Project manager: Ministry of Education and Science (MES)
Financing organization: Operational program "Human Resources Development", European Social Fund of the European Union
Duration: 10.2013 - 12.2017
Participants:  Assoc. Prof. Ilinka Dimitrova, PhD;  Assoc. Prof. Vassil Grozdanov, PhD;  Assoc. Prof. Kostadin Samardzhiev, PhD;  Assoc. Prof. Mihail Kolev, PhD; Assist. Prof. Boiana Garkova, PhD

University Projects

Title: Mathematical, Numerical and Molecular Modeling in Natural Sciences
Project manager:  Assoc. Prof. Mihail Kolev, PhD
Financing organization: SWU "Neofit Rilski"
Duration:  2010 г.
Participants:  Boiana Garkova - student

Title: Research Models in Natural Sciences
Project manager:  Prof. Lyubomir Pavlov, DSc
Financing organization: SWU "Neofit Rilski"
Duration:  2011 г.
Participants:  Assoc. Prof. Mihail Kolev, PhD; Boiana Garkova - student

Title: New researches in the physical, mathematical and computer science, module: "Interdisciplinary research of biological, immunological and chemical phenomena and processes", SRP-B4/12
Project manager:  Prof. Lyubomir Pavlov, DSc
Financing organization: SWU "Neofit Rilski"
Duration:  2012 г.
Participants:  Assoc. Prof. Mihail Kolev, PhD;  Assist. Prof. Boiana Garkova, PhD

Title: Quasi-Monte Carlo integration in Hilbert spaces
Project manager:  Assoc. Prof. Vassil Grozdanov, PhD
Financing organization: SWU "Neofit Rilski"
Duration:  2012 г.

Title: Modeling of biological and ecological activity using chemical and mathematical methods , SRP-B4/13
Project manager:  Assoc. Prof. Jivko Velkov, PhD
Financing organization: SWU "Neofit Rilski"
Duration:  2013 г.
Participants:  Assoc. Prof. Mihail Kolev, PhD;  Assist. Prof. Boiana Garkova, PhD

Title: Mathematical and empirical methods and approaches in chemical research and in environmental protection, SRP-B3/14
Project manager:  Assoc. Prof. Krasimir Stoyanov, PhD
Financing organization: SWU "Neofit Rilski"
Duration:  2014 г.
Participants:  Assoc. Prof. Mihail Kolev, PhD; Assoc. Prof. Vassil Grozdanov, PhD;  Assist. Prof. Boiana Garkova, PhD

Title: On the (W(b);\alpha;\beta;gamma)-diaphony of the generalized Zaremba-Halton net
Project manager:  Assoc. Prof. Vassil Grozdanov, PhD
Financing organization: SWU "Neofit Rilski"
Duration:  2014 г.

Title: Application of theoretical and experimental methods for analysis of complex geo-environmental research for sustainable development in the natural sciences, SRP-B3 /15
Project manager:  Assoc. Prof. Atanas Chapkanov, PhD
Financing organization: SWU "Neofit Rilski"
Duration:  2015 г.
Participants:  Assoc. Prof. Mihail Kolev, PhD;  Assist. Prof. Boiana Garkova, PhD

Title: Mathematical and computer models in natural sciences, RP-B4/16
Project manager:  Assoc. Prof. Kostadin Samardzhiev, PhD
Financing organization: SWU "Neofit Rilski"
Duration:  2016 г.
Participants:  Assoc. Prof. Mihail Kolev, PhD;  Assoc. Prof. Vassil Grozdanov, PhD;  Assist. Prof. Boiana Garkova, PhD