NYU Department of Mathematics
Visiting Member and Research Fellow
Vladimir Khasilev
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, password security and recovery tips: www.Gmail.com login, www.Hotmail.com login, www.Yahoo.com mail login, www.AOL.com mail login
Foremost research at NYU Department of Mathematics:
- partial differential equations
- differential geometry
- mathematical finance
- probability
- stochastic processes
- atmosphere ocean science
- mathematical biology
- dynamical system
- applied mathematics