Vladimir Khasilev
Courant Institute
Computer Sciences Department
New York University
Visiting Member and Research Fellow

Research Interests

Application of Mathematical methods of Optimization of Complex Systems in Enterprise and Entrepreneur Strategy:

• Exponential Markets and Companies
• SEO, PPC, Landing Page, Viral Marketing, Social Media Optimization
• Application of Mathematical Game Theory in:
• Trademark and Patent Wars
• Competitive Marketing Strategy for Liquid and Frozen Markets
• Optimizing the Process of Incorporating Company
• Investor's Risk Estimate and Management.

Computer Sciences

• Numerical Methods for Solitons and Fluid Dynamics
• C, C++, Java, Maple, Mathematica, PHP, MySQL, JavaScript, JQuery, AJAX, API -- Application Programming Interface for Google, Facebook, Amazon

Research: Solitons in Mathematics

• Theory of Solitons, Lax's and Inverse Scattering Transform Methods
• Lie Groups and Kac-Moody Algebras in Theory of solitons
• Generalization of the Lax Method for matrix and multidimensional operators
• Generalization of the Lax Method for non-integer dimension and fractal media
• Fractional Calculus: Derivatives, Integrals and Operators of Fractional Order
• Fractal Geometry
• Unification of the Theory of Solitons, Fractals and Fractional Calculus
• Mathematical Physics
• Nonlinear Dynamical Systems

Research: Solitons in Physics

• Nonlinear Waves, Pattern Formation
• Solitons in Nonlinear Optics
• Solitons in Plasma Physics
• Solitons in Optical Fiber, Photonics, Optical and Quantum Computing
• Optimal Control of Solitons in Distributed Media
• Waves and Solitons in Neural Networks

Research: Web Usability and Security for Password Protected Accounts and Networks

• Theory of Percolation on Open Graph for Web Usability
• Web Usability for Social Networks: Linkedin, www.Facebook.com login
• Web Usability for E-mail Clients: www.Gmail.com login, www.Hotmail.com login, www.Yahoomail.com mail login, www.AOL.com mail login, www.Yahoo.com mail login

Foremost research at NYU Department of Mathematics:

• partial differential equations
• differential geometry
• mathematical finance
• scientific computing
• probability
• stochastic processes
• atmosphere ocean science
• mathematical biology
• dynamical system
• applied mathematics

Teaching Interests

• Calculus
• Linear Algebra
• Discrete Mathematics
• Differential Equations
• Nonlinear Optimization
• Programming C++, C#, Java