Doctorate Degrees in Mathematics

Compare 26 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!

Read More

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 Didactics of Mathematics

Charles University Faculty of Education
Campus Full time Part time 4 years October 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. [+]

Profile of the graduate 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. He/she contributes to the improvement of mathematical education of pupils and to the professionalization of teachers. He/she can work at universities, in scientific institutes and as a highly qualified teacher-mediator between research and practice. He/she is able to: recognize up-to-date key topics of the field; propose, realise and evaluate research bringing original results; systematically follow local and international scientific literature and appraise it critically; publish results of his/her work in refereed journals, at local and international conferences, in textbooks and possibly in monographs. Tuition Fee 180.000 Kč This number was calculated by automatic currency conversion using exchange rate for EUR: 27.055 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 submit an application in time and with all required particulars and supplements, b) to deliver a certified copy of completion of Master’s degree programme, c) to pass an entrance examination, reach minimum number of point determined by the Dean. [-]

PhD in Mathematics Applied to Economics and Management

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

The PhD in Mathematics Applied to Economics and Management has recently been redesigned as a 3rd cycle course in accordance with the present legislation, to fulfill a ... [+]

PhD in Mathematics Applied to Economics and Management

The PhD in Mathematics Applied to Economics and Management has recently been redesigned as a 3rd cycle course in accordance with the present legislation, to fulfill a gap regarding advanced training in Mathematics involving applications to the fields of Economics and Management.

This new 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.

Where is the course taught?

In Lisbon, at the School of Economics and Management (ISEG), one of the seven autonomous institutes making up the Technical University of Lisbon.... [-]


PhD in Algebra, Theory of Numbers and Mathematical Logic

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

Depending on his specialization, the graduate becomes acquainted with modern methods and results in selected areas of contemporary algebra, logic, number theory, and cryptology. [+]

Depending on his specialization, the graduate becomes acquainted with modern methods and results in selected areas of contemporary algebra, logic, number theory, and cryptology. Guided by experts, the graduate is ready for independent research. He may start his career as a researcher or lecturer at a university, or apply his knowledge in practise, notably in the area of information security. Tuition Fee: 6000€ [-]

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 the University. Research Professor Ari Laptev (Imperial College London, KTH, Institut Mittag-Leffler) leads the university team to develop academic research and expertise at the laboratory of complex analysis and differential equations. The research project is supported by the Government of the Russian Federation. Curriculum BASIC COURSES Complex and Functional Analysis 5 (180) Current Problems in Mathematics 5 (180) Algebraic geometry 5 (180) ELECTIVES Processing of experimental data 3 (108) Methodology of PhD Thesis Preparation 3 (108) Academic English 3 (108) Basic English 3 (108) Russian (fee will apply) 3 (108) [-]

Doctoral Programme in Science (Technology)

Aalto University
Campus Full time Part time August 2017 Finland Espoo + 1 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. [+]

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 to suit the different needs of each doctoral student. The dissertations of the School of Science are of very high quality and often contain articles published in publications of the highest international level. Full-time students can complete the doctoral degree in four years. The most talented students may apply for funding from their department or they may fund their studies through projects. The students should discuss funding primarily with their supervising professor. International studying environment Internationality is an integral part of the School’s doctoral education in both recruiting and educating doctoral students. The School of Science is well connected with several top-level universities and research institutes in its field. Aalto University encourages its doctoral students to spend at least six months of their study time abroad. International mobility enhances doctoral students’ career possibilities. Visiting a foreign university or research institute often means sharing knowledge and know-how, creating new ideas, expanding international networks, and developing one’s professional skills. Working life and doctoral degree 40% of all doctors graduated from Aalto University come from the Aalto Doctoral Programme in Science. Those that have graduated from the Doctoral Programme have positions in the academic world, the public sector or in the industry and commerce. [-]

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.... [-]


PhD in Applied Statistics and Empirical Methods

University of Göttingen
Campus Full time 6 semesters October 2017 Germany Göttingen

The Centre for Statistics offers an international and interdisciplinary Ph.D. Program in Applied Statistics and Empirical Methods at the Georg-August-Universität Göttingen. [+]

Ph.D. Program Applied Statistics and Empirical Methods The Centre for Statistics offers an international and interdisciplinary Ph.D. Program in Applied Statistics and Empirical Methods at the Georg-August-Universität Göttingen. The Ph.D. program is especially designed for: Ph.D. students who are interested in a statistical or empirical PhD project Ph.D. students who's supervisor is a member of the Centre for Statistics Admission requirements: sound knowledge of basic statistics and methodology (30 ECTS or equivalent; with 15 ECTS a conditional admission is possible) adequate skills in English language (language requirements) a Master or Diploma (or equivalent) in one of the following fields: agricultural sciences biosciences computer sciences economics forest sciences mathematics/statistics medicine/epidemiology physics psychology social sciences The study programme: In total 27 credit points will be accumulated. These credits will be gained by passing courses in the following areas: at least 12 ECTS on statistical methodology at least 4 ECTS on specialisation courses research seminars (4 ECTS) summer schools and conferences (3 ECTS) key competencies (4 ECTS) Ph.D. students from Georg-August-University Göttingen and other Universities, who need further skills in statistical or empirical methods for their project and are not eligible for the Ph.D. Program can apply for the Certificate Programm in Applied Statistics and Empirical Methods. This also applies for students from research training groups (Graduiertenkollegs) since they are already enroled in a Ph.D. program. Postdocs and non-academic professionals, who want to acquire further skills in statistical or empirical methods can also apply for the Certificate Programm in Applied Statistics and Empirical Methods. [-]

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 interest include economic capital and risk management for financial services firms, and all areas of mortality and longevity research. Other research topics in the School include genetics and insurance, insurance economics, pensions and corporate reporting. Genetics and insurance risk Advances in human genetics, and medical sciences in general, have led to many gene discoveries; a number of single-gene disorders have been successfully identified and studied in detail. Researchers are now increasingly focusing on common multifactorial genetic disorders such as cancer, heart attack and stroke, caused by interaction of genes and environmental factors. It is important for the insurance industry to understand the full implications of these latest developments. First, can an insurer justify charging different premium rates to different risk groups? Second, if insurers are not allowed to discriminate between individuals based on their genes, by regulation or by law, is there a risk of adverse selection? From a public policy perspective, regulators and governments face the dilemma of whether to regulate against genetic underwriting or to allow market economies to take their own course. On one hand, there is a moral obligation not to discriminate against individuals for their genetic make-up. On the other hand, risk of adverse selection against insurance firms cannot be ruled out altogether. Maintaining an appropriate balance between the two is key. Economic capital and financial risk management Financial services firms are in the business of accepting risks on behalf of their customers. Customers do not always have the time or expertise to handle financial risks on their own, so they pass these on to financial services firms. However, even the most reputable firms can sometimes get it wrong, so it is fundamentally important for all stakeholders that financial services firms hold an appropriate amount of capital calculated on a robust scientific basis, to back the risks they are running. Economic capital can provide answers by specifying a unifying approach to calculating risk-based capital for any firm in the financial services sector. Fees As a guide only, the 2014/15 annual tuition fees for this programme are: Actuarial Science - PhD at Canterbury: Full-time: £3996 UK/EU; £12450 Overseas Part-time: £1998 UK/EU; £6240 Overseas Key facts Subject area: Actuarial Science Award: PhD Course type: Research Location: Canterbury Mode of study: Full-time or part-time Attendance mode: Campus Duration: Three to four years full-time, five to six years part-time Start: September Accredited by: Institute and Faculty of Actuaries [-]

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 write a doctoral dissertation and pass a final oral defense of that dissertation. The Department requires two semesters of college-teaching experience. Students are expected to demonstrate appropriate proficiency in the use of computers. There is no formal language requirement. Career Opportunities A graduate degree in the mathematical sciences will give you good preparation for a career in business, industry, government, teaching or research. Graduates of our programs are employed in the computer, communications, information, financial, and pharmaceutical industries; in engineering and consulting firms; in the insurance industry as actuaries; in schools, colleges, and universities; in goverment agencies; and in a wide variety of other occupations requiring strong analytical and problem solving abilities. Resources Career Information (American Mathematical Society) Mathematics Careers (Mathematical Association of America) Careers in Statistics (American Statistical Association) Careers in Applied Mathematics & Computational Sciences (Society for Industrial and Applied Mathematics) Society of Actuaries Career Center Jobs for Mathematicians (MathJobs.org) Occupational Outlook for Mathematicians (Bureau of Labor Statistics) Occupational Outlook for Statisticians (Bureau of Labor Statistics) [-]

PhD in Geometry and Mathematical Physics

International School for Advanced Studies (SISSA)
Campus Full time 3 - 4 years October 2017 Italy Trieste

The PhD program in Geometry and Mathematical Physics focuses on the study of analytic and geometric aspects of physical phenomena that are of fundamental interest in both pure and applied sciences and covers wide spectrum of topics [+]

PhDs in Mathematics. Purpose of the PhD Course The PhD program in Geometry and Mathematical Physics focuses on the study of analytic and geometric aspects of physical phenomena that are of fundamental interest in both pure and applied sciences and covers wide spectrum of topics in modern algebraic and differential geometry and their applications. Research Topics Integrable systems in relation with differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds Deformation theory and virtual classes moduli spaces of sheaves and of curves, in relation with supersymmetric gauge theories, strings, Gromov-Witten invariants, orbifolds and automorphisms Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics Mathematical methods of quantum mechanics Mathematical aspects of quantum Field Theory and String 
Theory Symplectic geometry, sub-riemannian geometry Geometry of quantum fields and strings Seminar on Hodge theory The students of the Geometry and Mathematical Physics sector organize a series of seminars on topics of Hodge Theory. The most recent placements after PHD at SISSA: Mathematical Sciences Research Institute Berkeley - USA, Harvard University, Cambridge - USA , Mathematical Institute, University of Oxford - UK, DAMTP, University of Cambridge - UK, Max Planck Institute, Bonn - Germany , École Polytechnique, Palaiseau - France General Rules The PhD programme consists in three/four years of study and research. The main selection procedure consists in an entrance examination. This is divided into two parts: in the written part applicants are asked to solve problems from a list given by the entrance committee. The oral exam consists in a discussion on the written test, on the topics studied in the univerisity curriculum, and possibly on the applicant's thesis for the university degree or on other scientific achievements. The applicant's scientific qualifications and references are also taken into account. Non-EU citizens may be admitted on the sole basis of their previous scientific activity, publications, and references, in a pre-selection procedure. They have to pass a "Qualifying Examination" at the end of their first year. Student may choose among different plans of study oriented to the different fields covered by their PhD course. In the first month of the PhD programme, the faculty approves the individual plans of study, taking into account the scientific interests of the students and the skills already acquired in the previous university studies. In the first year, students attend both basic and more advanced courses. To be admitted to the second year they are required to pass the examinations of the courses included in their plan of study. Students are invited to attend, without examinations, also some courses in fields different from those of their plan of study. At the end of the first year students start a research project, under the supervision of a faculty member or of an external collaborator approved by the faculty, in one of the research fields of the PhD programme. During the second and third year students work for their research projects, participate in the seminar activities of the PhD programme, and attend some courses. Examinations have to be passed only by students who worked in their first year in a different PhD programme. Students obtain the PhD degree after submitting their PhD thesis and defending it in front of an examination committee, whose members include SISSA staff members and international experts in the field. SISSA PhD in one of the courses of Mathematics Area is by law equivalent to the Italian degree of “Dottore di Ricerca in Matematica”. [-]

Doctorate in Arts and Science

International University For Graduate Studies - IUGS
Online & Campus Combined Part time February 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. [+]

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 following: Doctor of Philosophy (Ph.D.) 66 post-baccalaureate graduate credits* on-line with IUGS or in transfer, prior to, or after admission. Research and Design, I, II. (12 credits)** The 8 day Graduate Seminar at the 10 day residency. (3 credits) A Dissertation and Oral Defense. (12 Credits) *All relevant graduate credit, including those credits from graduate degrees, as well as approved graduate level, continuing education, certification and licensing coursework. **Distance Learning. [-]

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. [+]

PhDs in Mathematics. 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 sets of positive integers or real numbers Characteristics of distribution of number sets and sequences The study in this specialization is mostly theoretical, nevertheless it involves also applications, namely: applications of uniformly distributed sequences, construction of low discrepancy sequences and their applications, Monte Carlo and Quasi Monte-Carlo methods in mathematics, physics, economics. The focus of the student is supported by electing at least two compulsory elective subjects of this specialization: Diophantine approximations Uniformly distributed sequences Prime number theory Monte Carlo and Quasi-Monte Carlo Methods and their applications Selected topics in Number Theory The students will acquire deep theoretical knowledge of mathematical theories and methods of the given areas, and the ability to use the modern methods and means of mathematics to solve real problems. They will be prepared for their scientific research work as well as for further pedagogical work. Ad 3) The study in the specialization “Fuzzy Modelling” of the PhD study field Applied Mathematics and Fuzzy Modelling focuses on one of the following areas: Algebraic structures of truth-values (residuated lattices, MTL-, BL-, MV-algebras, etc.). Fuzzy logics. Fuzzy modelling. Time series analysis. Data analysis. Nature-inspired methods (evolutionary algorithms, swarm intelligence, etc.), A substantial part of the study is devoted to practical development of the methods mentioned above and their applications, especially in the following fields of activities: Data processing (data mining, time series analysis and forecasting, image processing, etc.). Control and decision making based on expert knowledge. Artificial intelligence and common sense reasoning. Admissions procedure The admissions procedure involves the selection of suitable applicants. The admissions board considers the following documents provided by the applicant: an officially recognized diploma proving the applicant's higher education (a Master's degree or equivalent) – see below, a copy of the Diploma Supplement (or another list of completed courses in the framework of the Bachelor's or Master's studies, confirmed by the university), a Curriculum Vitae, a list of publications, a copy of thesis written for a Master's degree (on a CD), a covering letter (in English) specifying the applicant's area of interest and identifying the prospective advisor, two letters of recommendation (by university lecturers or researchers). The documents must be delivered to the Department for Research and Doctoral Studies no later than a day before the meeting of the admissions board. [-]

Doctor of Philosophy in Mathematics (by research)

Universiti Brunei Darussalam Faculty of Science (FOS)
Campus Full time Part time 36 - 84 months August 2017 Brunei Bandar Seri Begawan + 1 more

The Mathematics PhD programme is open to any person holding a Master of Science in Mathematics from a recognised university. Choices of research topic depend on the availability of supervisors [+]

Doctor of Philosophy in Mathematics (by research)

 The Mathematics PhD programme is open to any person holding a Master of Science in Mathematics from a recognised university. Choices of research topic depend on the availability of supervisors, but in the past have included statistics, operations research, mathematical modelling, financial mathematics, functional analysis, fluid dynamics and mathematical physics. Assessment for the degree is based solely on the contents of an original thesis of no more than 100,000 words, to be submitted at the end of the student’s candidature. Although there is no formal coursework component in the PhD programme, a PhD student may be required to audit up to two Level-4 modules in topics relevant to the proposed field of research.... [-]


PhD in Applied Mathematics and Statistics

Izmir University of Economics
Campus Full time 4 years September 2017 Turkey Balçova

Nowadays, science and technology is rapidly developing with an ever-increasing impetus and a substantial part of knowledge is comprised of quantitative data. The analysis and interpretation of this data require the use of mathematical and statistical methods. [+]

PhDs in Mathematics. Nowadays, science and technology is rapidly developing with an ever-increasing impetus and a substantial part of knowledge is comprised of quantitative data. The analysis and interpretation of this data require the use of mathematical and statistical methods. The Applied Mathematics and Statistics doctorate program practiced by the Department of Mathematics enables the students to conduct advanced rersearch for application in the fields of Engineering, Medicine, Physics, Biology, Computer Sciences under the supervision of advisors. The academic staff comprises dynamic lecturers who are capable of conducting efficient scientific research and publishing them in internationally recognized journals. The Applied Mathematics and Statistics Ph.D. program is designed to enable the graduates to have a successful academic career and carry out scientific research. Courses MATH 505 Advanced Mathematical Analysis MATH 601 Differential Equations STAT 601 Probability Theory and Mathematical Statistics GSNS 695 Seminar MATH 602 Advanced Linear Algebra and Optimization GSNS 697 Individual Studies in Applied Mathematics and Statistics GSNS 698 Thesis Proposal in Applied Mathematics and Statistics Elective Courses ECON 517 Financial Econometrics FM 506 Stochastic Processes in Finance IE 502 Probabilistic Systems Analysis IES 503 Artificial Intelligence IES 508 System Simulation and Modeling IES 509 Heuristics IES 511 Machine Learning IES 513 Mathematical Programming and Applications IES 534 Nonlinear Programming IES 570 Criptology and Computer Security MATH 504 Statistics MATH 508 Partial Differential Equations MATH 552 Copula Theory and Its Application in Finance MATH 553 Optimization MATH 554 Basic Topics in Mathematics MATH 555 Financial Mathematics MATH 600 Mathematics Softwares and Research Methods MATH 654 Discrete Optimization and Heuristic Methods MATH 655 Fuzzy Set Theory and Its Applications MATH 656 Complex Analysis MATH 657 Time Scales MATH 658 Data Analysis with Mathematica MATH 659 Graph Theory MATH 660 Algebraic Geometry MATH 661 Finite Fields and Its Applications MATH 662 Cryptography MATH 663 Biomathematics MATH 664 Invariant Theory MATH 665 Algebraic Coding Theory MATH 666 Integral Equations MATH 667 Theory of Finite Elements MATH 668 Spectral Analysis of Differential Operators MATH 669 Applied Homology, Computational Approach MATH 670 Set Theoretic Topology MATH 671 Fuzzy Optimization MATH 672 Algebra MATH 673 Computational Commutative Algebra MATH 674 Group Theory and Its Applications MATH 675 Applications of Modules and Representation Theory STAT 501 Theory of Statistics STAT 502 Stochastic Processes STAT 503 Probability Theory STAT 504 Nonparametric Statistics STAT 505 Applied Statistical Analysis STAT 506 Multivariate Statistics and the Theory of Copulas STAT 551 Actuaria STAT 552 Ordered Random Variables STAT 553 Reliability STAT 554 Statistical Process Control STAT 555 Risk Analysis STAT 556 Linear Statistical Models STAT 557 Time Series Analysis STAT 558 Design of Experiment STAT 559 Advanced Probability Theory STAT 560 Statistical Methods in Biology and Medical Sciences STAT 561 Statistical Softwares and Simulation STAT 562 Combinatorial Analysis and Discrete Distributions STAT 563 Statistical Decision Theory Application Requirements for International Students Who can apply? Foreign nationals Blue Card holders (Turkish citizens by birth, but released from citizenship by the Ministry of the Internal Affairs, and who can certify that their minor children who are registered in that permit are eligible for the rights stated in Law No. 5203) Foreign nationals who became Turkish citizen afterwards/dual citizens in the same status Turkish nationals who completed the last three years of their secondary education (high school) in a foreign country excluding Turkish Republic of Northern Cyprus, (including those who completed their entire secondary education (high school) at Turkish schools in the presence of Ministry of National Education in a foreign country excluding Turkish Republic of Northern Cyprus) before 01 February 2013. Turkish nationals who completed their entire secondary education (high school) in a foreign country excluding Turkish Republic of Northern Cyprus, (including those who completed their entire secondary education (high school) at Turkish schools in the presence of Ministry of National Education in a foreign country excluding Turkish Republic of Northern Cyprus) after 01 February 2013. Turkish Republic of Northern Cyprus nationals who reside there and completed their secondary education there having a GCE AL certificate, and those, who registered to high schools in other countries between 2005-2010 and hold or will hold GCE AL certificate. Who cannot apply? Turkish nationals, who completed their entire secondary education in Turkey or in Turkish Republic of Northern Cyprus. Turkish Republic of Northern Cyprus nationals (excluding the ones who completed their entire secondary education there having a GCEAL certificate, and those, who registered to high schools in other countries between 2005-2010 and hold or will hold GCE AL certificate) Dual citizens who has a Turkish citizenship by birth. (excluding the ones who completed their entire secondary education in a foreign country excluding Turkish Republic of Northern Cyprus/ those who completed their entire secondary education at Turkish schools in a foreign country excluding Turkish Republic of Northern Cyprus) Dual citizens who has a Turkish Republic of Northern Cyprus citizenship (excluding the ones who completed their entire secondary education there having a GCEAL certificate, and those, who registered to high schools in other countries between 2005-2010 and hold or will hold GCE AL certificate) Turkish nationals or dual citizens, who have a Turkish citizenship by birth, that attend schools affiliated to the embassies in Turkey, and foreign high schools located in Turkey. [-]