Doctorate Degrees in Mathematics

Compare 34 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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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 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). [+]

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 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... [-]

PhD in Mathematics in Natural, Social and Life Sciences

GSSI - Gran Sasso Science Institute
Campus Full time 3 years November 2017 Italy L'Aquila

The PhD program in Mathematics in Natural, Social and Life Sciences aims to guide graduate students to deal not only with the most classic aspects of Mathematics, such as Partial Differential Equations, Stochastic Analysis, Mathematical Physics and Numerical Analysis but also with emerging new challenges proposed by non traditional domains of application, requiring the development of new tools and inter and multidisciplinary approaches. One additional PhD position will be financed by Istituto Italiano di Tecnologia (IIT)for the research program in Network Communications in Plant Roots(see the following table*). [+]

The PhD degree in Mathematics will guide graduate students to deal not only with the more traditional aspects of this discipline, such as Pure Mathematics, Partial Differential Equations and Mathematical Physics, but also with entirely new challenges, which require the development of the most appropriate tools to deal with the complexity, such as Stochastic Analysis and Computational Mathematics. Places / Scholarships : 10 Scholarships GSSI awards scholarships for 3 years. The yearly amount of the scholarship is of €16.159,91 gross(an additional 50% on monthly basis may be awarded for research period aboard if approved by the GSSI). Facilities and benefits All PhD students will have tuition fees waived; All PhD students will have free accommodation at the GSSI facilities or a financial substitute of 350,00 Euros gross/month (to obtain the contribution, the students would have to present a rental agreement); All PhD students will have free luncheon vouchers(1 per day, working days,except school closures, missions, other situations contemplated by the GSSI rules); All PhD students will be covered by insurance against any accident and/or injury that may occur while carrying out their PhD activities. Requirements English knowledge is compulsory. Applications are opened to candidates who meet the below requirements without regard to nationality, age, gender or religion: Italian Degree Foreign Degree Graduating Applicants “Laurea Magistrale” (or “Specialistica”) or Four or five years degree according to the previous rules of the Italian higher education system (vecchio ordinamento) Foreign degrees are considered and their eligibility is assessed by the Selection Committee. For... [-]

PhD in Analytical Chemistry

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

A graduate of the Ph.D. study program in analytical chemistry has gained advanced theoretical and practical knowledge and experience in a wide field of chemical and instrumental methods of analysis, chemometry, approaches to the attainment of a high quality of analytical results, procedures of method validation and accreditation of analytical laboratories. [+]

PhDs in Mathematics. Analytical chemistry is a branch of natural science and is based not only on all the chemical disciplines, but also on physics, biology, theory of information and a number of technical disciplines. It provides information on the identity, structure and amounts of components in natural and man-made objects and on their distribution in space and time. It cooperates with other fields of natural science in seeking relationships between the chemical composition of substances and their properties. It is an applied multidisciplinary science with a number of feedbacks that accents teamwork in solution of problems. It requires mastering of a sufficient background in a number of disciplines, such as general and physical chemistry, physics, mathematics, inorganic and organic chemistry and biochemistry, and, of course, a thorough knowledge of the theory of analytical chemistry and of modern instrumental analytical methods. In view of the experimental character of analytical chemistry, an important role is played by practical capabilities and manual skills. Description of the entrance examination and evaluation criteria The entrance examination has one round and is held as an interview. In exceptional cases, requested in writing by 30 April 2017, the dean can permit entrance examinations to take place via information and communication technology. During the entrance examination the candidate must demonstrate technical and linguistic skills to study the given field along with attributes necessary for scientific work. The entrance examination also takes into account the interest of the candidate in pursuing specific doctoral work with a particular supervisor... [-]

PhD in Mathematical Analysis

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

The graduates of Ph.D. study will have deepened their knowledge they had acquired at their Master‘s program and so have achieved wide knowledge in the theory of real functions and functional analysis or in the theory of differential equations, extended by deeper knowledge concerning the topics of their Ph.D. Thesis. [+]

Subject entrance examination The subject entrance examination takes the form of a discussion about the chosen study programme and the intended doctoral thesis topic. The committee judges the applicant's interest in the field, motivation, expertise, and overall readiness for doctoral studies. The level of knowledge expected is that required for passing the state final examination of the corresponding master's study programme and branch at Charles University. The applicant must demonstrate his/her insight into the basic areas of science relevant to the chosen thesis topic. The committee also takes into account documents submitted with the application, namely the statement by the proposed advisor, by the head of the proposed training department, recommendation letters, CV, and the letter of motivation. Language entrance examination The language entrance examination verifies that you have an adequate command of the English language, i.e. at least at level B2 of the Common European Framework of Reference for Languages (CEFR). Conditions for admission Admission for studies You will be admitted for studies if you have completed a Master degree programme, successfully pass (or get a waiver of) the subject and language entrance examination, and if an advisor in the required study programme is available. Information on the exercise of graduates The graduates of Ph.D. study will have deepened their knowledge they had acquired at their Master‘s program and so have achieved wide knowledge in the theory of real functions and functional analysis or in the theory of differential equations, extended by deeper knowledge concerning the topics of their... [-]

PhD in Physical Chemistry

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

The main objective of the study is to train the highly qualified professionals who will be prepared for independent, creative, scientific and research activities in the field of physical chemistry. [+]

PhDs in Mathematics. Physical Chemistry Abbreviation: DPAP_FCH_4 Level of course unit: Doctoral Faculty: Faculty of Chemistry Academic year: 2017/2018 Title awarded: Ph.D. Qualification awarded: Ph.D. in the field "Physical Chemistry" Level of qualification: Doctoral (3rd cycle) Accredited from: 16.10.2009 Accredited until: 31.5.2024 Specific admission requirements: The admission to the Faculty of Chemistry is conditioned by the completion of the Master's program in the same or a related field. The basic prerequisites for the admission are: interest and aptitude for scientific work, knowledge of the English language and a very good study record achieved in the Master's program (grade point average of all passed examinations usually does not exceed 2.0). Profile of the programme: The main objective of the study is to train the highly qualified professionals who will be prepared for independent, creative, scientific and research activities in the field of physical chemistry. Students are trained to formulate a scientific problem independently, propose hypotheses and procedures leading to its solving and attempt its confirmation on an experimental or theoretical level. Critical evaluation of published scientific information and the ability to communicate in English - both verbally and in written form, makes an integral part of the study. Key learning outcomes: The post-graduate in Ph.D. study programme Physical Chemistry is able to formulate independently the scientific problem, to design the hypothesis for the solution and to carry out experimental and theoretical work for its confirmation. Simoultaneously, he is capable of critical evaluation of published scientific informations and of presentation of experimental... [-]

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.... [-]


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... [+]

PhDs in Mathematics. 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... [-]

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 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. [+]

PhDs in Mathematics. 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... [-]

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. [+]

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 the University. Research... [-]

PhD In Mathematics And Statistics

Universidad de La Laguna
Campus Full time Part time September 2017 Spain Santa Cruz de Tenerife

This proposal presents an interdisciplinary doctoral whose itineraries in specific areas of expertise allow the formation of doctoral candidates in different areas of knowledge (Fundamental Mathematics, Applied Mathematics, Statistics, Mathematics Transfer, Information Technology, among others). [+]

PhDs in Mathematics. This proposal presents an interdisciplinary doctoral whose itineraries in specific areas of expertise allow the formation of doctoral candidates in different areas of knowledge (Fundamental Mathematics, Applied Mathematics, Statistics, Mathematics Transfer, Information Technology, among others). At present, scientific production and training capacity of researchers of different groups in the field of Computer Science, Mathematics, Mathematical Models and Techniques Statistics suggest the creation of a specific program of doctorate, with its own identity, which allows consolidation and transfer research activity in this area. Justification title The applicant university doctoral program in Mathematics and Statistics is the University of Zaragoza (UZ). The University of Zaragoza was created with the aim of providing quality university education. He began his academic activity during 1550 and since then has received the following awards: - Institution number 223 in the INSTITUTION RANKINGS IN MATHEMATICS by the ISI Web of Knowledge. - Member of G9 (2000 doctoral students, 230 theses / year) - Participant in more than 40 European projects (Erasmus, Leonardo da Vinci, etc.) since 2004. - He has made more than 1,700 agreements with foreign universities, receiving more than 1200 Erasmus students. - Seven of the 11 universities in Spain included in the ranking of Shanghai. The UZ has the Vicerrectorados scientific policy and technology transfer and innovation, whose main function is to promote and coordinate the activities of research, innovation and knowledge transfer from the university, with the guarantee of effective management and mechanisms for dissemination appropriate. Aware of the importance... [-]

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.... [-]


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... [-]