EDUCATION
1984 
M.Sc. in Mathematics 

1989 
St.Kliment Ohridski University of Sofia 
Ph.D. in Mathematics 
Department of Fluid Mechanics, Faculty of Mathematics and Informatics 
PROFESSIONAL EXPERIENCE
19841985 
Mathematician 
Software Division, Institute "Mechatronics", Gabrovo 
19851988 
Postgraduated 
Department of Fluid Mechanics, Faculty of Mathematics and Informatics, St.Kliment Ohridski University of Sofia 
19881990 
Mathematician 
Laboratory of Hydrometeorological Informatics, National Institute on Hydrology&Meteorology Bulgarian Academy of Sciences, Sofia 
19902001 
Assistant Professor

Department of Differential Equations, Faculty of Applied Mathematics & Informatics, Technical University of Sofia, Sofia 
20012012 
Associate Professor

Department of Differential Equations, Faculty of Applied Mathematics & Informatics, Technical University of Sofia, Sofia 
20043 months 
Senior Research Fellow 
Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia 
Spring Semester 2008 
Visiting Professor 
Department of Mathematics, University of Texas at Arlington, TX, USA 
Summer II 2009 
Visiting Scholar 
Department of Mathematics, University of Texas at Arlington, TX, USA 

Visiting Adviser 
Department of Mathematics, University of Texas at Arlington, TX, USA 
Since July 2012 
Full Professor in Applied Mathematics 
Chair
of Differential Equations, Department
of Applied Mathematics & Informatics, Technical
University of Sofia, 
November 814 2012 
Visiting Scholar 
Department of Mathematics, University of Alabama in Huntsville, 
March 29 
Sabbatical Professor 

March 2731 2015 
Visiting Scholar 
Department of Mathematics, College of Charleston, 
July 512 2016 
Sabbatical Professor 
College of Arts & Science, EmbrieRiddle Aeronautical University at Daytona Beach, 
August 38 2016 
Visiting Scholar 
Center for Space Plasma and Aeronomical Research, University of Alabama in Huntsville, 
April 111 2017 
Sabbatical Professor 
College of Arts & Science, EmbrieRiddle Aeronautical University at Daytona Beach, 
Fall Semester 201819 
Senior Research Fellow 
Department of Mathematics, Southern University of Science and Technology, 
HONOURS
Prize for best work of the National
Student Session on Mathematics, October 1984, Plovdiv, Bulgaria: Numerical
Investigation of Inviscid Flow around Bodies with
Stagnation Zone and Cavitation.
Nominated
for the Gold Medal for Bulgaria by the American Institute for Bibliography, Raleigh
NC, January 2011
TEACHING EXPERIENCE
Linear Algebra&Analytical Geometry 
seminars

since 1990 
Calculus (One Variable) 
seminars

since 1990 
Multivariable Calculus 
seminars 
since 1990 
Selected Topics of Mathematics 
seminars 
since 1991 
Numerical Modeling with 
lecture course + laboratory seminars (B.S.) 
since 2002 
Theoretical Mechanics 
lecture course + seminars (B.S. in College) 
20022007 
Mathematical Methods in 
lecture course (M.Sc.) 
20022010 
Models in Mechanics of Continuous Media 
lecture course + seminars (M.Sc.) 
since 2006 
Computer Science and Technology 
lecture course+ seminars (B.S.) 
since 2000 
Statistics 
lecture course+ seminars (B.S.) 
20022009 
Publishing Information Systems 
lecture course+ seminars 
since 2003 
Information Technology 
lecture course+ seminars 
2010 
Paisii Hilendarski University of Plovdiv, Branch Kardjali
Theoretical Electrodynamics 
lecture course (B.S.) 
20042008 
University of Texas at Arlington, Department of
Differential Equations & Linear Algebra 
lecture course (undergraduate) 
2008 
Derivatives of Financial Mathematics 
lecture course (graduate) 
2009 
Southern University of Science and Technology, Department of
Probability & Statistics 
lecture course (undergraduate) 
2018/19 
Scientific Computing 
lecture course (graduate and postgraduate) 
2018/19 
PARTICIPATION IN
ORGANIZING AND PROGRAMME COMMITTEES
Organizing Committee 
23rd Summer School
Applications of Mathematics in Engineering, Sozopol, Bulgaria, 
Secretary 
Organizing Committee 
24th Summer School
Applications of Mathematics in Engineering, Sozopol, Bulgaria, 
Secretary 
Organizing Committee 
25th Jubilee Summer
School Applications of Mathematics in Engineering and Economics,
Sozopol, Bulgaria, 
Secretary 
Organizing Committee 
26th Summer School
Applications of Mathematics in Engineering and Economics, Sozopol,
Bulgaria, 
Secretary 
Programme Committee 
International Conference Modern
Trends in the Computational Physics, Joint Institute for Nuclear
ResearchDubna, Russia, 
Member 
Organizing Committee 
27th Summer School Applications of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 
Secretary 
Local
Organizing 
1st Advanced Research
Workshop Gravity, Astrophysics, and Strings @ the Black Sea, Kiten,
Bulgaria, 
Secretary 
Programme Committee 
5th International Congress on Mathematical Modeling, Dubna, Russia, September 30October 6, 2002 
Member 
Local
Organizing 
2nd Advanced Research
Workshop Gravity, Astrophysics, and Strings @ the Black Sea, Kiten,
Bulgaria, 
Secretary 

3rd International Conference on Numerical
Analysis & Applications, Rousse, Bulgaria 
Organizer of the Minisymposium 
Organizing Committee 
Secretary 

Local Organizing Committee 
International
Summer School and Conference on Arrays of Quantum Dots and Josephson
Junctions, Kiten, Bulgaria 
Contact Person

Local Organizing Committee 
3rd Advanced
Research Workshop Gravity, Astrophysics, and Strings @ the Black Sea, Kiten,
Bulgaria, 
Secretary 
Organizing Committee 
31st International Conference Applications
of Mathematics in Engineering and Economics, Sozopol, 
Secretary 
Organizing Committee 
32nd International Conference Applications
of Mathematics in Engineering and Economics, Sozopol, Bulgaria, 
Secretary 
Organizing Committee 
33rd International
Conference Applications of Mathematics in Engineering and Economics,
Sozopol, Bulgaria, 
Chairman 
Local Organizing Committee 
4th
Advanced Research Workshop Gravity, Astrophysics, and Strings @ the Black
Sea, Primorsko, Bulgaria, 
Secretary 
Program and Organizing Committee 
34th International
Conference Applications of Mathematics in Engineering and Economics,
Sozopol, Bulgaria, 
General Chair 
Organizer 
Chairman 

Organizer 
Chairman 

Scientific Committee 
Member 


Organizer of Symposium "Recent Trends in Nonlinear Wave Phenomena  Achievements and Challenges" 

Organizer and Coordinator 
Chairman 

Organizer and Coordinator 
Chairman 

International Advisory Board 
Member 

International Program Committee 
Organizer of Special Session "Modeling and
Wave Phenomena in
Nonlinear Continuum Mechanics", and member of IPC 

Organizer and Coordinator 
Chairman 

Organizing Committee 
International Conference Mathematical Methods and Models: Theory
and Applications in the Education, 
Member 
Organizer and Coordinator 
Chairman 

Scientific Committee 
Member 

International Program Committee 
Organizer of Special Session "Mathematical Modeling and Physical Dynamics of Solitary Waves: From Continuum Mechanics to Field Theory", and Member of IPC 

Organizer and Coordinator 
Chairman 

Program Committee 
Member 

Organizer and Coordinator 
Chairman 

Program Committee 
Member 

Scientific Program Committee 
Organizer of Special Session "Solitary and Rogue Waves as Solutions of Generalized Schrodinger Equations. Achievements and Challenges," and Member of SPC 

Organizer and Coordinator 
Chairman 

Organizer and Coordinator 
Chairman 

Member 
Honorary Program Committee 


Organizer of Special Session "Analytic and Numerical Investigation of Soliton Dynamics" 

Member 
International Scientific Committee 

Member 
Scientific Program Committee 

Organizer and Coordinator 
Chairman 

Member 
7th AllUkrainian Scientific Conference "Mathematical Modeling and
Mathematical Physics", devoted to the 110th anniversary of the birth of Nikolay Bogolyubov, to be held in Kremenchuk, Ukraine,
October 14, 2019 
Program Committee 
INVITED TALKS
C.I.Christov,
M.D.Todorov, Difference Implementation of Inviscid Separated Flows with InfinitelyLong CuspEnded
Stagnation Zone around Circular Cylinder,22nd Summer School Applications of
Mathematics in Engineering, Sozopol, September 1421, 1996.
M.D.Todorov, Mathematical Modeling of
BosonFermion Stars in the Generalized
ScalarTensor Theory of Gravity, 2nd
Summer School on Modern Mathematical Physics, Kopaonik
(Serbia and Montenegro), September 112, 2002.
M.D.Todorov, About Some Aspects in Numerical
Investigation of Nonlinear Schroedinger Equation, AIMS 6th International
Conference "Dynamical Systems, Differential Equations and
Applications," Poitiers(France), June 2528,
2006.
M.D.Todorov, Impact of CrossModulation
Parameter on the Collision Dynamics of QuasiParticles Governed by Vector NLSE,
5th IMACS International
Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and
Theory, Athens, GA, USA, April 1619, 2007
M.D.Todorov, Collision Dynamics of Coupled
Nonlinear Schroedinger Equations, Joint
ISC/NA Seminar Dept. of Mathematics, Texas A&M University, College Station,
TX (USA), April 11, 2008.
M.D.Todorov, Impact of the Initial Polarization
on the Collision Dynamics of QuasiParticles Governed by Vector NSE, AIMS 7th
International Conference "Dynamical Systems, Differential Equations and
Applications," Arlington, TX (USA), May 1721, 2008.
M.D.Todorov, Collision Dynamics of Elliptically
Polarized Solitons of CNSE, 6th IMACS
International Conference on Nonlinear Evolution Equations and Wave Phenomena:
Computation and Theory, Athens, GA, USA, March 2326, 2009.
M.D.Todorov, The Effect of the Linear Coupling
on the Phase Shift of Interacting Solitons in CNSEs, 8th AIMS International
Conference on Dynamical Systems, Differential Equations and Applications,
Dresden, Germany, May 2528, 2010.
M.D.Todorov,
The Effect of the Elliptic Polarization on the QuasiParticle Dynamics of
Linearly Coupled Systems of Nonlinear Schroedinger Equations, 7th IMACS International
Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and
Theory, Athens, GA, USA, April 47, 2011.
M.D.Todorov, Vector Schroedinger
Equation: Coupling, Polarization, Phase Difference, QuasiParticle Dynamics, Colloquium of Department of Mathematics, University of
Louisiana at Lafayette, LA, USA, April 14, 2011.
M.D.Todorov, The Effect of the Initial Polarization
on the QuasiParticle Dynamics of Linearly and Nonlinearly Coupled Systems of
NSE, Texas A&MCommerce Computational Science Colloquium, TX,
USA, April 20, 2011.
M.D.Todorov, Impact of the Initial Polarization
and Phase Difference on the QuasiParticle Dynamics of Linearly and
NonLinearly CNSEs, Seminar of the Laboratory of Solitons,
Coherence, and Geometry, Institute for Nuclear Research and Nuclear Energy,
BAS, Sofia, Bulgaria, October 4, 2011.
M.D.Todorov, Investigation of the longTime Evolution
of Localized Solutions of a Dispersive Wave System, special
session "Analysis and Simulations of Nonlinear Systems" at the 9th
AIMS Conference, July 15, 2012, Orlando, FL, USA.
M.D.Todorov,Vector Schroedinger Equation:
QuasiParticle Concept of Evolution and Interaction of Solitary Waves, International
Conference "Integrability, Recursion Operators&Soliton
Interactions" in occasion of Vladimir Gerdjikov 65th birthday, Institute for Nuclear Research and
Nuclear Energy, BAS, Sofia, Bulgaria, August 2931, 2012.
M.D.Todorov, Polarized Soliton Solutions of Vector
Schroedinger Equation as Propagating and Interacting QuasiParticles, Lloyd
Roeling /University of Louisiana at Lafayette Mathematics Conference dedicated
to the memory of our friend and colleague Christo I. Christov, Lafayette, LA,
USA, November24, 2012.
M.D.Todorov, Boussinesq
Paradigm and LongTime Evolution of Localized Solutions of Wave Systems.
Consistency versus Integrability, Texas A&MCommerce Computational Science
Seminar, TX, November 6, 2012.
M.D.Todorov,
Dispersive Wave System: Nonintegrability and
Invariance, International
Scientific Conference on Mechanics MECH2012,
M.D. Todorov, Solitonid Boussinesqi Vorrand, Seminar Mesossteemide teooria ja rakendused 20122016,
Institute of Mathematics and Natural Sciences, Tallinn University (Estonia),
December 6, 2012.
M.D. Todorov, Vector Schroedinger
Equation: Coupling, Polarization, Phase Difference, QuasiParticle Dynamics,
SELU at
M.D. Todorov, Multisoliton Interaction
of Perturbed Manakov System: Effects of External Potentials, Advanced Material
Research Institute and Physics Dept, UNO, New Orleans, LA, USA, April 5, 2013.
M.D. Todorov, Perturbation Approach and Solution for the 2D ShallowWater
Waves, Tulane University, Dept. of Mathematics, Special PDE seminar, New
Orleans, LA, April 9, 2013.
M.D. Todorov, Wave Equations and QuasiParticle Concept of
Dynamics of Solitary Waves: Integrability vs. Consistency, Nonlinearity vs.
Dispersion, Adiabatic Approximation, SELU at Hammond, Math Dept. Seminar, LA,
USA, April 12, 2013.
M.D. Todorov, Boussinesq Paradigm and LongTime Evolution and Interaction
of Localized Solutions of Nonlinear Wave Systems.Consistency
vs. Integrability, SELU at Hammond, Chemistry
& Physics Dept, LA, USA,
M.D. Todorov, Generalized Wave Equations: Coupling, Polarization, Phase Difference, QuasiParticle Dynamics of Localized Solutions, University of Jonkoping, Dept of Mathematics, Physics & Chemistry, Sweden,
M.D. Todorov, Multisoliton Interactions for the Manakov System under Composite External Potentials, Colloquium of the Department of Mathematics, College of Charleston, SC, USA, March 30, 2015.
M.D. Todorov, Collision Dynamics of Vector Schroedinger Equation, VIII International Conference Dedicated to the 115th Anniversary of Academician M.A. Lavrentyev
"Lavrentyev Readungs on Mathematics, and Physics", Novosibirsk, Russia, September 711, 2015.
M.D. Todorov, Vector Schrodinger Equation: Coupling, Polarization, Phase Difference, QuasiParticle Dynamics,
National Conference Mathematical Modeling and Mathematical Physics devoted to the 165th anniversary of the Sofia Kovalevskaya birth, Kremenchuk, Ukraine, September 2225, 2015. (nonreported)
M.D. Todorov, Soliton Dynamics and Interaction of Vector Schroedinger Equation, Estonian Center of Excellence "Mesosystems  Theory and Applications,"
School of Natural Sciences and Health, Tallinn University (Estonia),
September 24, 2015.
M.D. Todorov, Soliton Dynamics, Adiabaticity and Interaction of Vector Schroedinger Equation, 3rd International Conference on Structural Nonlinear Dynamics and Diagnosis, Marrakech (Morocco), May 2325, 2016.
M.D. Todorov, Numerical Investigation of the Dynamics of HighIntensity Ultrashort Light Pulses, special session "Nonlinear Waves: Coherent Structures and Complex Dynamics", 11th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL, USA, July 15, 2016.
M.D. Todorov, Soliton Dynamics of the Nonlinear Wave and Dispersive Equations. Boussinesq Paradigm, Joint College of Arts & Sciences Research Seminar, EmbrieRiddle Aeronautical University, Daytona, FL, USA, July 11, 2016.
M.D. Todorov, Vector Schroedinger Equation: QuasiParticle Concept of Evolution and Interaction of Solitary Waves, SIAM Conference on Nonlinear Waves and Coherent Structures, Philadelphia, PA, USA, August 911, 2016.
M.D. Todorov, System of Coupled Nonlinear Schrodinger Equations with Different CrossModulation Rates, The Tenth IMACS Intl Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia, Athens, GA, USA, March 29April 1, 2017.
M.D. Todorov, Localized Solutions of Generalized Wave Equations. Boussinesq Paradigm, Joint College of Arts & Sciences Research Seminar, EmbrieRiddle Aeronautical University, Daytona, FL, USA, April 5, 2017.
M.D. Todorov, LongTime Dynamics and Interaction of Ultrashort Light Pulses, SIAM Conference on Dynamical Systems, Snowbird, UT, USA, May 2125, 2017.
M.D. Todorov, Boussinesq Paradigm: Theory, Computer Simulation, Experiment, 6th AllRussian Conference with Foreign Participants "Free Boundary Problems: Theory, Experiment and Applications", Barnaul, Russia, August 711, 2017.
M.D. Todorov, Nonlinear Dispersive Waves Models: Computer Simulation and Experimental Observations, Annual International Conference "Days on Diffraction," St. Petersburg, Russia, June 48, 2018, Minisymposium "Nonlinear Dispersive Waves: Models and Methods" (dedicated to the memory of Professor Alexander M. Samsonov).
M.D. Todorov, LongTime Evolution and Interaction of Localized Solutions of Nonlinear Wave and Envelope Systems. Consistency vs. Integrability, special session "Analytical and Numerical Approaches in Soliton Theory", 12th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 59, 2018.
M.D. Todorov, Investigation of Soliton Model for Dynamics of Nerve Pulses, special session "Differential Equation Based Modeling for Brain and Other Complex BioSystems", 12th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 59, 2018.
RESEARCH PROJECTS
19851986 
Numerical Computation of 3D Turbulent Boundary Layer of Incompressible Flow around Shiplike BodyProlate Triaxial Ellipsoid 
Bulgarian Ship Hydrodynamics Centre, Varna, Bulgaria 
1985 
Development of Special Software for Treatment and Interpretation of geophysical Data on Microcomputer MC 1000K 
Research Laboratory "Progress", Sofia, Bulgaria 
19881991 
Selforganization in Nonlinear Dynamic Systems. Coherent Structures in Turbulent Flows 
Grant No 1052/88 of the Ministry of Science and Higher Education of Bulgaria 
19911992 
Extremal Problems for Airfoils and Cascades 
Grant of the Ministry of Science and Higher Education of Bulgaria 
19911994 
Modelling of 2D Nonsteady Convective Clouds 
National Institute for Hydrology and MeteorologyBulgarian Academy of Sciences 
19961999 
Numerical Investigation of Separated Inviscid Flows 
Grant No MM602/96 of the Ministry of Education, Science and Technology of Bulgaria 
20112014 
Numerical and Analytic Methods for Finding of Localized Solutions of Generalized Wave Equations 
Grant No
DDVU02/71 of the Scientific Fund by the Ministry of Education, Youth and
Science of Bulgaria 
20152017 
Theoretical and Numerical Investigation of Nonlinear Mathematical Models 
Grant No
DFNI I02_9 of the Scientific Fund by the Ministry of Education and
Science of Bulgaria 
AREAS OF
PROFESSIONAL ACTIVITIES AND RESEARCH
I.
Methods for Numerical Solving Nonlinear, Eigenvalue Boundary Problems, and
Initial Problems
1. Inviscid Separated Flows
2. High Re NavierStokes equations
3. Meteorological Convective Processes
4. Josephson Junctions
5. Astrophysics, Gravity, Black Holes
6. Nonlinear Optics and Wave Phenomena
7. Mathematical Biology
II.
Educational Technology
1. Software Innovations in Methodology for the Higher Mathematics
Education
LANGUAGES
Bulgarian, native language
Russian, fluent spoken and written
English, good level