The PhD is a doctoral degree, specifically called a "doctor of philosophy" degree. This is misleading because PhD holders are not necessarily philosophers (unless they earned their degree in philosophy!). That said, PhD recipients are able to engage in thought experiments, reason about problems, and solve problems in sophisticated ways.
Advanced mathematics training can focus on the basic theories of quantum mechanics in which a single particle system is observed and analyzed in order to make predictions about experiment outcomes. Hydrodynamic stability can be another advanced subject covered in a mathematics program.
Russia or, also officially known as the Russian Federation, is a country in northern Eurasia. Education in Russia is provided predominantly by the state and is regulated by the Ministry of Education and Science. In Russia, it takes about 70 % of training time for the contact lessons with a teacher, the rest 30 % of the workload are devoted to the independent study of the material.
Top Doctoral Programs in Mathematics in Russia 2018
Research in multidimensional complex analysis at Siberian Federal University is about several topics. The overarching theme is the interaction between complex analysis and other areas of mathematics and physics. [+]
Research in multidimensional complex analysis at Siberian Federal University is about several topics. The overarching theme is the interaction between complex analysis and other areas of mathematics and physics. For example, methods and techniques of functional analysis are applied to the study of PDEs in domains of complex space. Algebraic geometry plays an important role in the study of the distribution of complex algebraic and analytic sets and its applications in physics. Alternatively, analytic methods are used in the theory of algebraic and hypergeometric functions, in the description of the structure of discriminant sets. Other examples include the study of multidimensional difference equations, analytic continuation of functions and sets.... [-]