Doctorate Degrees in Mathematics

Compare 25 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 Mathematical Modeling

Rochester Institute of Technology (RIT)
Campus Full time 3 years September 2018 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... [-]

Doctor of Philosophy (PhD) in Mathematical Sciences

College of Engineering and Mathematical Sciences
Campus Full time September 2018 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 Mathematics

The Hong Kong University of Science and Technology
Campus Full time Part time 3 - 4 years September 2018 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. [+]

PhDs in Mathematics. 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... [-]

PhD in Mathematics Applied for Economics and Management

ISEG - Lisbon School of Economics & Management
Campus Full time 3 years September 2018 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

Universidade de Évora
Campus Full time 4 years October 2018 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. [-]

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 2018 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. [+]

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 in the program,... [-]

PhD in Mathematics

Koc University - Istanbul Turkey
Campus Full time September 2018 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 Mathematics

Universidade Lusófona de Humanidades e Tecnologias
Campus Full time 3 years October 2018 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 Mathematical Statistics

University of Johannesburg
Campus Full time February 2018 South Africa Johannesburg

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

PhDs in Mathematics. The purpose of the PhD in Mathematical Statistics is to provide qualifying students with an in-depth understanding and integrated knowledge of advanced applicable theory in the field of mathematical statistics. A PhD in Mathematical Statistics 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 Mathematical Statistics 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 general regulations for Doctorates are applicable. [-]

PhD in Physical Chemistry

Brno University of Technology
Campus Full time Part time 4 years September 2018 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. [+]

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 results in english... [-]

PhD In Mathematics And Statistics

Universidad de La Laguna
Campus Full time Part time September 2018 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). 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. [+]

This proposal proposes an interdisciplinary doctorate whose itineraries in specific areas of specialization allow the formation of PhD students in different areas of knowledge (Fundamental Mathematics, Applied Mathematics, Statistics, Mathematical Transfer, Information Technologies, 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).... [-]


PhD in Business Administration and Quantitative Methods

Carlos III University of Madrid
Campus Full time 2 - 3 years September 2018 Spain Madrid Barcelona France Paris United Kingdom London + 5 more

The PhD in Business Administration and Quantitative Methods is offered jointly by the Departments of Business Administration and Statistics. [+]

PhD in Business Administration and Quantitative Methods

The PhD in Business Administration and Quantitative Methods is offered jointly by the Departments of Business Administration and Statistics. The mission of the program is to develop leading scholars in finance, management, marketing, accounting, operations research, statistics and econometrics for careers in research and teaching at leading universities and business schools. A broad knowledge of business ensures that students fully appreciate the interdependencies and complexity of management problems. At the same time, a strong training in quantitative methods introduces them to the possibility of interdisciplinary and qualified empirical research.... [-]


PhD in Multidimensional Complex Analysis

Siberian Federal University
Campus Full time 4 years September 2018 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... [-]

PhD in Applied Mathematics and Statistics

Izmir University of Economics
Campus Full time 4 years September 2018 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. [+]

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... [-]

PhD in Mathematical Sciences

University of Göttingen
Campus Full time 6 semesters October 2018 Germany Göttingen Austria Innsbruck Italy Rome Padua Serbia Belgrade Hannover Braunschweig Clausthal-Zellerfeld + 10 more

The Göttingen math department offers excellent and manifold opportunities for pursuing a career towards a doctoral degree. Students are integrated into the international and inspiring environment of the department. The spectrum of possible Ph.D research topics ranges from pure over applied mathematics to mathematical statistics. [+]

PhDs in Mathematics. Description of Study Program The Göttingen math department offers excellent and manifold opportunities for pursuing a career towards a doctoral degree. Students are integrated into the international and inspiring environment of the department. The spectrum of possible Ph.D research topics ranges from pure over applied mathematics to mathematical statistics. Ph.D projects may also be interdisciplinary, with close connections to other disciplines, such as mathematical physics or biophysics. For more information about the various research topics of the Göttingen math department, please consult the faculty homepages. The Ph.D program usually takes three years. During the entire program, doctoral candidates are students of the University of Göttingen. Aside from the research program, Ph.D candidates are additionally required to attend lectures and seminars in order to broaden their knowledge and to acquire new skills. Ph.D students are also expected to present their research results at international conferences and workshops. Ph.D students are integrated into the research activities of up to two research groups. Ph.D students are guided through their program by a thesis committee (comprised of three faculty members) for quality insurance. If you are interested in pursuing a Ph.D in mathematics in Göttingen, please contact a faculty member in order to inquire about open position and financial support. Programme name: Mathematical Sciences (Ph.D.) Degree: Ph.D. or Dr. rer. nat. Standard period of study: 6 semesters Starting semester: Winter or summersemester Admission terms: Limited admissions, application to the faculty Admission requirements: Master in mathematics; application with a master's degree in... [-]