• Convex Analysis and Optimization
• Stochastic Optimization
• Mathematical Models of Risk
• Statistical inference of stochastic optimization
• Numerical Techniques

• Dr.Sci in Mathematics  Humboldt University, Berlin , Germany, 2006
• PhD in Mathematics  Humboldt University, Berlin , Germany, 1989
• MSc in Mathematics and Computer Science Humboldt University, Berlin , Germany, 1982

 ·          Optimization of Stochastic Systems: stochastic optimization models with stochastic dominance constraints and risk functions; optimization models with probabilistic constraints; stability and sensitivity of stochastic optimization problems; decomposition methods for stochastic optimization problems

·          Nonlinear Optimization: composite semi-infinite optimization problems.

·          Convex Analysis: Steiner center for convex sets; differentiability of the metric projection onto moving convex sets; sets determined by constraints on distribution functions

.·          Set-Valued Analysis: selections of set-valued mappings in particular mappings that appear in stochastic optimization.

 ·          Vector Optimization: new concepts of e-efficiency and level sets of abstract optimization problems, which are applied to obtain various versions of variational principles, and to establish well-posedness of vector optimization problems.

·          Parametric Optimization: optimization problems whose data are smooth functions of a parameter; singularity theory of the stationary solutions to the parametric problems; regularity as a generic property; path-following methods

·          Statistical Analysis: delta theorems of first and higher order for random sets in infinite dimensional spaces and their selections; statistical tests for stochastic dominance; estimation of measures of risk and Lorenz functions.

·          Networks: efficient approach to evaluating network performance under uncertain load

• 2007 - present
  Professor, Department Mathematical Sciences, Stevens Institute of Technology, Hoboken, New Jersey  
• 2000 -2006
  Associate Professor, Department Mathematical Sciences, Stevens Institute of Technology, Hoboken, New Jersey
• 1999 - 2000
  Assistant Professor, Department of Industrial and Manufacturing Systems Engineering, Lehigh University, Pennsylvania
• 1997 - 1999
  Visiting Scholar, RUTCOR, Rutgers Center for Operations Research, Rutgers University, New Brunswick, New Jersey
• 1994 - 1997
  Research Scholar, Institute of Mathematics, Humboldt University, Berlin, Germany
• 1982 - 1994
  Research Scholar, Department of Operations Research, Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria (On leave)
   
  

Frequent reviewer and panelist for NSF and Department of Energy

Service and Membership In Professional Organizations

• Guest-Editor-in-Chief of Annals of OR and SIAM Journal on Optimization 
• Associate Editor of SIAM Journal on Optimization and a member of Society of Industrial and Applied Mathematics
• Reviewer for Mathematical Reviews and a member of the American Mathematical Society
• Past member of the Stochastic Programming Committee of the Mathematical Programming Society
• Member of SIAM, AMS and the Union of Bulgarian Mathematicians