Best 35 PhD Programs in Mathematics 2019/2020

Doctoral programme on speciality "Mathematical and Computer Modeling" is created for further independent research and defence of a doctoral dissertation at the university. Within the frameworks of the course, PhD students study classical and modern approaches of mathematics such as methods of functional analysis, mathematical models of physical processes, a more advanced course of differential equations, in particular, derived equations, etc. In addition, courses on high-productive calculations and computer modelling are given. Thesis Board for the defence of doctoral dissertations on speciality "Mathematical and Computer Modeling" is functioning at our university.

Mathematical modeling is the process of developing mathematical descriptions, or models, of real-world systems. These models can be linear or nonlinear, discrete or continuous, deterministic or stochastic, and static or dynamic, and they enable investigating, analyzing, and predicting the behavior of systems in a wide variety of fields. Through extensive study and research, graduates of this program will have the expertise not only to use the tools of mathematical modeling in various application settings, but also to contribute in creative and innovative ways to the solution of complex interdisciplinary problems and to communicate effectively with domain experts in various fields.... [-]

The Ph.D. program in Mathematical Sciences is designed for students with a Master degree in Mathematics from a credit university. It is a 56 credit hours program offered for full-time students within the Department of Mathematical Sciences. Students are required to complete 24 credit hours of coursework in addition to30 credit hours assigned to research and a completion of a Ph.D. thesis. The coursework includes 6 credit hours of College of Science requirements (Ethics, Research Methods, and Seminars), 3 core mathematics courses in addition to 3 elective courses (9 credit hours) that allow the student to specialize in any specific topic related to pure or applied mathematics. Student progress is overseen by a research supervisor (and co-supervisors) and a thesis defense committee. The program is a fee-based program open for all students who meet the entry requirements.... [-]

The Mathematical Research Centre conducts world-class research in the following areas: Analysis, Operator Algebras, Algebraic Topology, Topological Data Analysis, Survival Analysis, Bayesian Networks, Data Analytics, Operational Research. It maintains vibrant international links with a large number of researchers around the globe and regularly hosts international conferences and research visitors.

Registration is on a full-time or part-time basis, under the direction of a supervisory team appointed by the University. You will be expected to submit your thesis at the end of three years of full-time registration for PhD, or two years for MPhil (or part-time equivalent).... [-]

PhD in Mathematics

The Department of Mathematics offers graduate courses leading to the PhD degree in Mathematics. The department emphasizes both pure and applied mathematics. Research in the department covers algebra, algebraic geometry, number theory, functional analysis, differential geometry, differential equations, combinatorics, topology, biomathematics, statistics, probability, stochastic analysis and mathematical physics. In addition to the following courses, students in this program can take any of the courses listed under the “M.S. in Mathematics” program or from other courses not listed here in accordance with their areas of specialization and subject to the approval of their advisors.... [-]

Models, mathematics, statistics, data, and algorithms are the foundations of our digital world. Computational methods and mathematical analysis are increasingly used for simulation, prediction, data evaluation, analysis, risk assessment, development, and optimization, in virtually every field of Science.

The Ph.D. in “Computational Mathematics and Decision Sciences” aims at offering graduate students solid skills in Computational Mathematics, Computational Physics, Scientific Computing, Statistics, Decision Sciences, Optimization, Machine Learning, as well as an interdisciplinary view of Applied Mathematics, Physics and decision processes under uncertainty. The program gives a solid theoretical and computational grounding for high-level research in universities, international research institutions, and industry.... [-]

The School of Mathematical and Computer Sciences is pleased in offering PhD in Computer science by research to students on the Dubai campus.

Initially, those with an interest in undertaking a project in the broad area of computing are encouraged to apply. This may include different research topics as outlined in programme content.

PhD study on the Dubai Campus will enable students to work with staff and students in Dubai in collaboration with a research group in Edinburgh performing high value and fundamental research in engineering. Students will be working under the supervision of an expert academic supervisor based at the Dubai Campus and supported by a second supervisor in Edinburgh. In addition to time spent doing research project work, students will engage with scientific literature and participate in research group discussions and meetings using electronic communications. On completion of the research project, students spend some six months 'writing up' to produce a final PhD. Once the thesis has been submitted, internal and external academics will examine the student’s work and knowledge of the PhD subject.... [-]

Advanced training in theoretical and applied mathematics with an emphasis on Algebra and logic (logic, non-standard analysis, algebra, theory of numbers, encryption), analysis (differential equations, calculus of variations and optimal control, optimization, dynamic systems, numerical applications) and Statistics (statistics, operational research, probability). In the context of the thesis is required in-depth study of a part of mathematics and / or their applications in order to cross the border of mathematical knowledge to solve problem without open and / or to start a new theory. targeted capabilities: formulate theorem new mathematical concepts and / or mathematically model in the various contexts of application, in-depth knowledge and assimilation of advanced mathematical theory of parts, know how to use successfully computerized means, interpret and communicate mathematical results of scientific texts, display results own research, write publishable scientific articles in prestigious scientific journals.... [-]

Joining the Department as a postgraduate is certainly a good move. The Department maintains strong research in both pure and applied mathematics, as well as the traditional core of a Mathematics department. What makes our Department different is the equally strong research in fluid mechanics, scientific computation, and statistics.

The quality of research at the postgraduate level is reflected in the scholarly achievements of faculty members, many of whom are recognized as leading authorities in their fields. Research programmes often involve collaboration with scholars at an international level, especially in the European, North American and Chinese universities. Renowned academics also take part in the Department's regular colloquia and seminars. The faculty comprises several groups: Pure Mathematics, Applied Mathematics, Probability, and Statistics.... [-]

The Applied Mathematics and Computational Sciences (AMCS) program educates students to construct and solve Mathematical and Computational models of real-world problems. Two-degree programs are offered: the M.S. degree (under either a Thesis or a Non-Thesis option) and the Ph.D. degree. Admission to one-degree program does not guarantee transfer to another.

The Applied Math and Computational Science program offers specializations in three distinct directions (called “Tracks”): Applied Mathematics (AM), Computational Science and Engineering (CSE) and Statistics (ST).

The requirements for the different specializations may vary and are outlined below. All students in the M.S. program are guided by a Faculty advisor to develop their program of study.... [-]

The Department of Mathematics at Boston College seeks to advance mathematics through a commitment to excellence in research, teaching, and service to the community. The faculty has a strong research reputation, with highly regarded research groups in the areas of Algebraic Geometry, Geometry, Number Theory, Representation Theory, and Topology.

The department’s Ph.D. program was launched in 2010 and now supports 25 to 30 graduate students, attracting doctoral students from top programs both nationally and internationally. Service contributions include extensive work with pre-collegiate math teachers, involvement with mathematics policy questions at the state and national levels and support for scholarship in mathematics through the organization of international scholarly meetings and the editing of high-quality journals.... [-]

Ph.D. in Mathematics Applied for Economics and Management

This degree is useful for those who want to pursue an academic career, or who wish to carry out research, as well as for those who want to further their education and to learn the new techniques and scientific practices required for the pursuit of excellence in their professional lives in companies, or private or public institutions.

This course boasts highly qualified professors, particularly in the areas of Actuarial Science, Analysis, Dynamic Systems, Finance Econometrics, Finance Mathematics, Macro and Micro-Econometrics, Operational Research, Statistics and Time Series.

Host centers

The research undertaken in ISEG’s research centers provides important support for students in Ph.D. programs.... [-]

PhD Thesis Research in Pure & Applied Mathematics

The purpose of the Ph.D. in Mathematics is to provide qualifying students with an in-depth understanding and integrated knowledge of advanced applicable theory in the field of mathematics. A Ph.D. in Mathematics is a pure science-based research study that requires candidates to demonstrate high-level research capability and make a significant and original academic contribution at the frontiers of the discipline of specialization.

The PhD in Mathematics demands a very high level of intellectual, theoretical and practical specialized science knowledge and insight into problems related to the field of study and of the application of advanced experimental methods and techniques of the modern research, as well as of fundamental scientific and academic values in generating, processing, interpreting and presenting research data orally and in written form.... [-]