Doctorate Degrees in Mathematics

Compare 35 PhD Programs in Mathematics

Mathematics

There are numerous PhD Mathematics programs located at excellent universities across the globe. With a PhD Mathematics, professionals have excellent career opportunities in academia, research, engineering, economics, government, and other public and private sector jobs.
 
Curriculum for a PhD Mathematics program is challenging and generally includes coursework, seminars, teaching, and research. Research is conducted under the guidance of a supervisor and must be on an original topic resulting in a doctoral dissertation. The PhD Mathematics candidate must defend the dissertation in front of a panel of experts. Generally, PhD Mathematics programs take between 3 and 5 years to complete and although requirements differ depending on the academic institution and specific program, candidates must have the appropriate educational background, training, and experience in mathematics.

Scroll through the PhD Mathematics programs below to learn more about the opportunities waiting for you. Take the next step today!

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PhD In Mathematics

Universidade de Évora
Campus Full time 4 years October 2017 Portugal Évora

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). [+]

PhDs in Mathematics. PRESENTATION 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. Careers Teaching in the national hi international higher education; scientific research career in national and international centers; senior management of public enterprises or institutions in the sphere of applications of mathematics such as: Banks, Insurance, Consulting, Data Analysis, Statistical Analysis. [-]

PhD in Mathematics

The Hong Kong University of Science and Technology
Campus Full time Part time 3 - 4 years September 2017 Hong Kong

The PhD program provides a broad background in mathematics and mathematical sciences. Students choose their major concentration from three options: Pure Mathematics, Applied Mathematics; and Probability and Statistics. The doctoral thesis must be an original contribution to the field. [+]

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 programs 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. Mathematics permeates almost every discipline of science and technology. We believe our comprehensive approach enables inspiring interaction among different faculty members and helps generate new mathematical tools to meet the scientific and technological challenges facing our fast-changing world. The PhD program provides a broad background in mathematics and mathematical sciences. Students choose their major concentration from three options: Pure Mathematics, Applied Mathematics; and Probability and Statistics. The doctoral thesis must be an original contribution to the field. Research Foci Algebra and Number Theory The theory of Lie groups, Lie algebras and their representations play an important role in many of the recent development in mathematics and in the interaction of mathematics with physics. Our research includes representation theory of reductive groups, Kac-Moody algebras, quantum groups, and conformal field theory.... [-]

PhD in Mathematics Applied for Economics and Management

ISEG - Lisbon School of Economics & Management
Campus Full time 3 years September 2017 Portugal Lisbon

The PhD Programme in Applied Mathematics for Economics and Management is designed to meet the needs of those who wish to enhance their knowledge of mathematical methods and techniques in order to make original contributions in a particular field or to develop and implement solutions for problems in the areas of Economics and Management. [+]

PhD 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 PhD programs.... [-]


PhD in Mathematics

Koc University - Istanbul Turkey
Campus Full time September 2017 Turkey İstanbul

The department of Mathematics offers graduate courses leading to Ph.D. degree in Mathematics. The department emphasizes both pure and applied mathematics [+]

PhD in Mathematics

 

The department of Mathematics offers graduate courses leading to Ph.D. 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.... [-]


Official Doctoral Program In Mathematical Methods And Numerical Simulation In Engineering And Applied Sciences

Universidade da Coruña
Campus Full time Part time 3 - 5 years September 2017 Spain A Coruña + 1 more

The PhD Program in Mathematical Methods and Numerical Simulation in Engineering and Applied Sciences is an official university degree, imparted jointly by the three Galician universities, which form researchers in the field of mathematical modeling and numerical resolution of problems that arise in different industrial and Companies. [+]

PhDs in Mathematics. Introduction The Programme Doctoral Degree in Mathematical Methods and Numerical Simulation in Engineering and Applied Sciences Is an official university degree, taught jointly by the three Galician universities, which forms researchers in the field of mathematical modeling and numerical resolution of problems that arise in different industrial and business areas. In addition to the participating doctors from the three universities, it has the collaboration through an agreement of 27 companies and technological centers, which propose research topics of great relevance and topicality. Why study the degree At present, with the rapid evolution of engineering and applied sciences, it is evident the need to train specialists at the doctoral level in the modeling and numerical simulation of processes that come from the industrial or business scope, so that Impel from the university the transfer of knowledge and the incorporation of doctors to the R & D & I departments. These doctors will have training in mathematical modeling and simulation aimed at optimizing processes, reducing costs, improving product quality, designing technologies, increasing safety, reducing environmental pollution, valuing products, investments and financial risks, etc. Lines of investigation These are the lines of research of this doctoral program: Mathematical Analysis and Numerical Resolution of Equations in Partial Derivatives (EDP) and Ordinary Differential Equations (EDO) Modeling, analysis and numerical simulation of problems in applied sciences and engineering Modeling, analysis and numerical simulation of industrial and business problems Specific Training Complements In case the doctor does not have the complete previous training required... [-]

PhD in Mathematics

Universidade Lusófona de Humanidades e Tecnologias
Campus Full time 3 years October 2017 Portugal Lisbon

The Ph.D. programme aims to provide a solid scientific training in Mathematics, enabling the integration of students in the research activities carried out by the Centre for Research in Mathematics. [+]

PhD in Mathematics

Entrance Conditions

The following may apply for the Doctoral Programme:

a) People who hold a master's degree or legal equivalent degree;

b) People who hold a B.A., people who have an especially relevant school or scientific curriculum that is acknowledged as certifying capacity to obtain this study cycle by the Doctoral Programme's Scientific Committee;

c) People who have a school, scientific and professional curriculum that is acknowledged as certifying capacity to obtain this study cycle by the Doctoral Programme’s Scientific Committee.

Objectives

The Ph.D. programme aims to provide a solid scientific training in Mathematics, enabling the integration of students in the research activities carried out by the Centre for Research in Mathematics.... [-]


Doctoral Programme in Science (Technology)

Aalto University
Campus Full time Part time August 2017 Finland Espoo Helsinki Pori Mikkeli + 4 more

The goal of the programme is to train doctors in physics, mathematics, biomedical engineering, computer science and industrial engineering and management to serve in the academic world, public sector and industry and commerce. [+]

PhDs in Mathematics. The goal of the programme is to train doctors in physics, mathematics, biomedical engineering, computer science and industrial engineering and management to serve in the academic world, public sector and industry and commerce. Doctors graduating from Aalto Doctoral Programme in Science have what it takes to serve in demanding academic research and teaching positions and in expert, development and management positions of the information society. The departments, which are in charge of doctoral education at the School of Science, offer research fields that are based on strong research traditions and research at the highest international level. At the moment there are four Centres of Excellence in Research at the departments of the School of Science designated by the Academy of Finland. The School of Science is also very active in the national Doctoral Education Networks. What can you study? Aalto Doctoral Programme in Science offers the degree of Doctor of Science (Technology) in one of the following departments and their research fields: Department of Applied Physics Department of Computer Science Department of Industrial Engineering and Management Department of Mathematics and Systems Analysis Department of Neuroscience and Biomedical Engineering Graduate as doctor in four years Doctoral education at the School of Science is based on vigorous basic research that forms a strong basis for teaching and both development and innovation activities. The most important part of the education is writing the dissertation in a strong research milieu. The theoretical studies that support the thesis work are tailored individually... [-]

PhD in Mathematics

University of Johannesburg
Campus Full time February 2018 South Africa Johannesburg

The purpose of the PhD in Mathematics is to provide qualifying students with an in-depth understanding and integrated knowledge of advanced applicable theory in the field of mathematics. [+]

The purpose of the PhD 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 PhD 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 specialisation. 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. The doctoral study programme comprises a thesis which makes an original contribution to the research field approved for the study. Please note: Admission to the Doctoral programme is subject to approval by the Department. [-]

PhD Actuarial Science

University of Kent, School of Mathematics, Statistics & Actuarial Science
Campus Full time Part time 3 - 6 years August 2017 United Kingdom Canterbury + 1 more

There's an active seminar programme involving a wide range of speakers and members of the PhD community regularly attend/present their work at leading conferences and institutes. [+]

PhDs in Mathematics. PhD Actuarial Science There's a robust research environment at Kent in the fields of Finance and Actuarial Science. Areas of research include financial modelling and estimation, quantification of diversification benefits, quantifying financial risks, and derivatives pricing. There's an active seminar programme involving a wide range of speakers and members of the PhD community regularly attend/present their work at leading conferences and institutes. The PhD in Actuarial Science offers the opportunity to begin or consolidate your research career under the guidance of internationally renowned researchers and professionals in the School of Mathematics, Statistics and Actuarial Science (SMSAS). The School has a strong reputation for world-class research and a well-established system of support and training, with a high level of contact between staff and research students. The Centre for Actuarial Science, Risk and Investment (CASRI) was recently set up within SMSAS to reflect the widening scope of the teaching and research of the staff. Areas of research interest include economic capital and risk management for financial services firms, mortality and longevity modelling, longevity indices and markets. Other research topics include genetics and insurance, insurance economics, pensions and corporate reporting. Course structure The PhD in Actuarial Science offers the opportunity to begin or consolidate your research career under the guidance of internationally renowned researchers and professionals at SMSAS. The School has a strong reputation for world-class research and a well-established system of support and training, with a high level of contact between staff and research students. Research areas Areas of... [-]

Doctor of Philosophy (PhD) in Mathematical Sciences

College of Engineering and Mathematical Sciences
Campus Full time September 2017 USA Burlington

The Department offers programs towards the Master of Science, Master of Science in Teaching, and the Doctor of Philosophy in Mathematical Sciences. There are two areas of concentration: pure mathematics and applied mathematics. The programs emphasize the interaction between these two areas and the common role of scientific computation. Students can take courses common to both areas, enabling them to gain an... [+]

Doctor of Philosophy (PhD) in Mathematical Sciences The Department offers programs towards the Master of Science, Master of Science in Teaching, and the Doctor of Philosophy in Mathematical Sciences. There are two areas of concentration: pure mathematics and applied mathematics. The programs emphasize the interaction between these two areas and the common role of scientific computation. Students can take courses common to both areas, enabling them to gain an appreciation of the mathematical techniques and the connections between theory and applications. Department research interests include classical analysis, harmonic analysis, Fourier analysis, approximation theory, algebra, number theory, graph theory, combinatorics, fluid mechanics, biomathematics, differential equations, numerical analysis, and modeling. Requirements for Admission to Graduate Studies for the Degree of Doctor of Philosophy Because of the breadth of pure and applied mathematics, it is recognized that applicants for admission will have diverse backgrounds. Admission requirements are therefore flexible. Applicants should have demonstrated strength in either pure or applied mathematics, a bachelor's degree with a major in mathematics or a closely related discipline, and satisfactory scores on the general Graduate Record Examination. Requirements for Advancement to Candidacy for the Degree of Doctor of Philosophy Successful completion of three qualifying examinations, two written and one oral, in one of the areas of concentration. Minimum Degree Requirements for the Degree of Doctor of Philosophy Each student must complete the three qualifying exams and an approved plan of study including at least 75 credit hours in course work or dissertation research. The student is required to... [-]

PhD in Mathematical Modeling

Rochester Institute of Technology (RIT)
Campus Full time 3 years September 2017 USA Rochester

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. [+]

PhDs in Mathematics. PhD in Mathematical Modeling Program overview Please Note: This program is currently recruiting its first class, which will begin in fall 2017. 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. Every mathematical modeling enterprise has four aspects: the content of the application field, the mathematical formulation and analysis, the analytical and computational methods (which often involve high-performance computing), and the interpretation and analysis of the results. Through extensive 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 solve complex interdisciplinary problems and to communicate effectively with domain experts in various fields. Plan of study The degree requires at least 60 credit hours of course work and research. The curriculum consists of three required graduate common courses, three required graduate concentration courses, a course in scientific computing and high-performance computing (HPC), elective courses focused on the student’s chosen research concentration, and a doctoral dissertation. At least 30 credit hours of course work, including the common curriculum, is required. In addition, at least 30 credit hours of research, including the Graduate Research Seminar and an interdisciplinary internship outside of RIT, is required. At least three years... [-]

PhD in Didactics of Mathematics

Charles University Faculty of Education
Campus Full time Part time 4 years September 2017 Czech Republic Prague + 1 more

The graduate of the PhD studies in mathematics education is prepared to deal with both theoretical and application problems in the mathematical education of children and adults and carry out both scientific and pedagogical activities. [+]

Characteristics of the Studies Candidates for doctoral studies in Didactics of Mathematics are expected to: show interest in mathematics education in general (for example, by taking part in scientific conferences and conferences for teachers), have an overview of the most important scientific journals and books related to mathematics education, have an idea of the area of mathematics education they are willing to focus on in their studies and be able to specify it in a written project of up to 10 pages (including tentative research questions, methodology and theoretical background and a list of references). Description of the entrance examination and evaluation criteria Entrance Examination 1) Discussion about the thesis project. The project must be sent together with the application to the Department of Science, Faculty of Education, Charles University in Prague. The quality of the project is important in order to be assessed by the entrance committee, which will evaluate the candidate's readiness to do research in mathematics education. 2) Discussion about the references from the candidate's list of scientific literature on mathematics education (must be sent together with the application). Evaluation Criteria: The applicant can get a maximum of ten points, the number of points for the admission to study is getting at least seven points. Conditions for admission Candidates are admitted to study if they meet all admission requirements: a) to deliver a certified copy of completion of Master’s degree programme, b) to pass an entrance examination, reach minimum number of point determined by the Dean, c)... [-]

Doctorate in Arts and Science

International University For Graduate Studies - IUGS
Online & Campus Combined Part time September 2017 Dominica Portsmouth

The Doctor of Philosophy (PhD) may be undertaken in any discipline within the Arts or Sciences. The degree offers ABDs or those who have earned sixty-six graduate credits from an accredited institution the opportunity to complete their doctoral studies. [+]

PhDs in Mathematics. The Doctor of Philosophy (PhD) may be undertaken in any discipline within the Arts or Sciences. The degree offers ABDs or those who have earned sixty-six graduate credits from an accredited institution the opportunity to complete their doctoral studies. Sixty-six graduate credits are needed for transfer. These credits may be taken prior to or after admission. An additional twenty-seven credits are to be earned at International University for Graduate Studies. Candidates are required to undertake six credits of non-classroom research and design, which is the foundation for the eighteen credit doctoral dissertation and oral defense. In addition, a three-credit eight-day doctoral seminar is required. The sixty-six transferred credits and the additional twenty-seven credits which are earned at IUGS will total ninety-three credits and will meet the requirements for the Doctor of Philosophy. Before writing the dissertation, all candidates must select a mentor with a doctorate in a related field of study so that he or she may guide the doctoral candidate in completion of the dissertation. The doctoral candidate may select a mentor known to her or him, or have an appropriate mentor assigned by the Dean of Arts and Science. The academic environment at International University for Graduate Studies respects the doctoral candidate's professional experience, academic background and maturity. Doctoral candidates bond with mentors, faculty and fellow students during the learning process, while accomplishing their professional goals. DEGREE REQUIREMENTS Doctor of Philosophy (Ph.D.) A relevant master's degree. Documented pertinent professional experience. 93 credits*, which include the... [-]

PhD in Applied Mathematics and Fuzzy Modelling

University of Ostrava
Campus Full time Part time 4 years September 2017 Czech Republic Ostrava + 1 more

PhD students in Applied Mathematics and Fuzzy Modelling then choose one of the following specializations: Differential equations: geometric, variational, and optimization methods; Analytical number theory; Fuzzy modelling. [+]

PhD students in Applied Mathematics and Fuzzy Modelling then choose one of the following specializations: Differential equations: geometric, variational, and optimization methods Analytical number theory Fuzzy modelling Ad 1) The study in the specialization “Differential Equations: Geometric, Variational, and Optimization Methods” of the PhD study field Applied Mathematics and Fuzzy Modelling focuses on one of the following areas: global variational analysis, differential equations on manifolds, differential invariants and natural Lagrange structures, optimization in abstract and infinite-dimensional spaces, stochastic-heuristic algorithms in global optimization. The study in this specialization also pursues applications, namely: applications in physics and engineering (variational principles, dynamical control and optimization, non-holonomic mechanics and field theory, real-life, everyday operational problems in business, industry, entrepreneurship, sustainable development, etc. The solution involves a mathematical formulation of the problem, (finding a suitable method for its solution), acquiring real data, and solving the problem with a practical recommendation based on the computed solution. The focus of the student is supported by electing at least two compulsory elective subjects of this specialization, where the student acquires deep theoretical knowledge of mathematical theories and methods (topology, differential geometry, global analysis, geometric mechanics, variational equations, stochastic algorithms) of the given areas, and the ability to use the modern methods and means of mathematics to solve real problems. Ad 2) The study in the specialization “Analytical Methods in Number Theory” of the PhD study field Applied Mathematics and Fuzzy Modelling focuses on one of the following areas: Irrationality of infinite series Diophantine approximations Densities and measures of... [-]

PhD in Multidimensional Complex Analysis

Siberian Federal University
Campus Full time 4 years September 2017 Russia Krasnoyarsk

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. [+]

PhDs in Mathematics. 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 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 discriminantal sets. Other examples include the study of multidimensional difference equations, analytic continuation of functions and sets. Programme Leader Professor Tsikh worked at the universities of Stockholm, Bordeaux, Berlin, Calabria (Italy), Armidel (Australia), Max Planck Institute in Bonn, Institut Mittag-Leffler in Stockholm. Research interests: complex analysis, algebraic geometry, tropical geometry, signal processing, math- ematical physics (superstring theory, thermodynamics) Entry requirements: Master’s degree (or equivalent) in Mathematics, Physics, or Computer Science; desired qualifications: good knowledge of mathematical analysis; an adequate level of English proficiency (certificate or other document) Apply to The Centre for International Education and Certified Testing for a certificate if you do not have it, the Russian language preparatory course is available. Accommodation: On-campus accommodation is available: single ensuite room 45 € per month, twin ensuite room 30 € per month. Practicalities: Airport transfer, invitation letter for a Russian study visa and an optional survival course of Russian as a foreign language are provided by... [-]