Successful completion of written comprehensive examinations in algebra, analysis, mathematics education and an elective subject.
Successful completion of a minor program of study (usually a related one, such as educational psychology or research methodology, but possibly in an area of mathematics) followed by the minor presentation.
Successful completion of a dissertation proposal defense in the major field of mathematics education.
Experience in teaching equivalent to at least half-time for one year typically through assistantship assignments.
Students must complete and submit a dissertation that involves original research in mathematics education.
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COLLEGE OF LIBERAL ARTS AND SCIENCES
To graduate with a PhD in Mathematics, a student must satisfy all of the following requirements:
Pure Mathematics
Applied Mathematics
Past Prelim Exams
Mathematics phd program.
The Ph.D. program in the Department of Mathematics provides students with in-depth knowledge and rigorous training in all the subject areas of mathematics. A core feature is the first-year program, which helps bring students to the forefront of modern mathematics. Students work closely with faculty and each other and participate fully in both research and student-run seminars.
Questions? Email [email protected]
Degree requirements.
In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements.
The detailed regulations of the Ph.D. program are the following:
During the first year of the Ph.D. program, the student must enroll in at least 4 courses. At least 2 of these must be graduate courses offered by the Department of Mathematics. Exceptions can be granted by the Vice-Chair for Graduate Studies.
The Preliminary Examination consists of 6 hours (total) of written work given over a two-day period (3 hours/day). Exam questions are given in calculus, real analysis, complex analysis, linear algebra, and abstract algebra. The Preliminary Examination is offered twice a year during the first week of the fall and spring semesters.
To arrange the Qualifying Examination, a student must first settle on an area of concentration, and a prospective Dissertation Advisor (Dissertation Chair), someone who agrees to supervise the dissertation if the examination is passed. With the aid of the prospective advisor, the student forms an examination committee of 4 members. All committee members can be faculty in the Mathematics Department and the chair must be in the Mathematics Department. The QE chair and Dissertation Chair cannot be the same person; therefore, t he Math member least likely to serve as the dissertation advisor should be selected as chair of the qualifying exam committee . The syllabus of the examination is to be worked out jointly by the committee and the student, but before final approval, it is to be circulated to all faculty members of the appropriate research sections. The Qualifying Examination must cover material falling in at least 3 subject areas and these must be listed on the application to take the examination. Moreover, the material covered must fall within more than one section of the department. Sample syllabi can be reviewed online or in 910 Evans Hall. The student must attempt the Qualifying Examination within twenty-five months of entering the PhD program. If a student does not pass on the first attempt, then, on the recommendation of the student's examining committee, and subject to the approval of the Graduate Division, the student may repeat the examination once. The examining committee must be the same, and the re-examination must be held within thirty months of the student's entrance into the PhD program. For a student to pass the Qualifying Examination, at least one identified member of the subject area group must be willing to accept the candidate as a dissertation student.
Mathematics is the science of order, and mathematicians seek to identify instances of order and to formulate and understand concepts that enable us to perceive order in complicated situations. The concentration in Mathematics is designed to acquaint the student with the most important general concepts underlying the three branches of modern mathematics. Concentration in mathematics will provide an adequate basis for further study in either pure or applied mathematics. Students are also eligible to apply for an A.B./A.M. degree program.
The graduate Mathematics Program at Harvard is designed for students who hope to become research mathematicians and show definite promise in this direction. Once the student has demonstrated a command of basic mathematical concepts by passing the qualifying examination, the emphasis is on getting to the frontiers of some field by independent reading, advanced courses, and seminars. The Cambridge area is one of the most active centers of mathematics in the world. Harvard, Brandeis, and Northeastern Universities and the Massachusetts Institute of Technology have an especially close association in mathematics, and the Harvard University Center of Mathematical Sciences and Applications hosts conferences, seminars, and workshops.
Zanvyl krieger school of arts and sciences.
The goal of our PhD program is to train graduate students to become research mathematicians. Our students go on to exciting careers in mathematics both inside and outside of academia.
Faculty research interests in the Johns Hopkins University Department of Mathematics are concentrated in several areas of pure mathematics, including algebraic geometry, algebraic topology, category theory, geometric analysis, harmonic analysis, mathematical physics, number theory, and partial differential equations. The department also has an active group in data science, in collaboration with the Applied Math Department .
The Department values diversity among its members, is committed to building a diverse intellectual community, and strongly encourages applications from all interested parties.
A brief overview of our graduate program is below. For more detailed information, please see the links at the right.
PhD candidates take two or three courses per semester over the first several years of the program. These are a mix of required and intermediate-level graduate courses, independent studies, and special topics classes offered by our faculty. Candidates must take, attend, participate in, and pass the course 110.771 (GTA Teaching Seminar). The seminar is an important part of the preparation for classroom teaching, and thus an essential part of mathematics graduate education. The seminar is generally required in a student's first year at JHU. A student supported by an external fellowship may delay taking the seminar until the spring before they are required to TA (but may not postpone the seminar entirely).
By the beginning of their second year, students are asked to demonstrate competency in algebra and in analysis by passing written qualifying exams in these two broad areas. Students are then expected to choose an advisor, who will supervise their dissertation and also administer an oral qualifying exam to be taken in the second or third year. More specifics about all these requirements are described on the requirements page .
All graduate students are invited to attend weekly research seminars in a variety of topic areas as well as regular department teas and a weekly wine and cheese gathering attended by many junior and senior members of the department. A graduate student lunch seminar series provides an opportunity for our students to practice their presentation skills to a general audience.
Teaching experience is regarded as an important part of the graduate program, and graduate students are required to teach during their program.
Each student is awarded a travel allowance to enable them to attend conferences for which limited funding is available, or to visit researchers at other institutions.
The William Kelso Morrill Award for excellence in the teaching of mathematics is awarded every spring to the graduate student who best exemplifies the traits of William Kelso Morrill: a love of mathematics, a love of teaching, and a concern for students.
These awards are given each year to graduate student teaching assistants, undergraduate teaching assistants, and non-tenure-track faculty who have demonstrated exceptional ability and commitment to undergraduate education.
Admission to the PhD program is based on primarily on academic records, letters of recommendation, and a personal statement. The Department of Mathematics values diversity among its members, is committed to building a diverse intellectual community, and strongly encourages applications from all interested parties.
Via the online application , applicants should submit:
The required Statement of Purpose discusses your academic interests, objectives, and preparation. The optional Personal Statement describes your personal background, and helps us create a more holistic understanding of you as an applicant. If you wish you may also discuss your personal background in the Statement of Purpose (e.g. if you have already written a single essay addressing both topics), instead of submitting separate statements.
Submission of GRE Math subject scores is optional. The department views GRE Math subject scores as useful information. For applications which do not include these scores, more weight will be placed on the other elements of the application. Applicants who choose to self-report a GRE Math Subject score need not send an official score report at time of application; we will request verification only if you are accepted to the program.
Application fee waivers are available based on financial need and/or participation in certain programs .
Many frequently asked questions about the graduate admission process are answered here .
No application materials should be mailed to the department. All application materials are processed by the Graduate Admissions Office .
The following is an example of what the math department would consider a good background for a student coming out of a four-year undergraduate program at a college or university in the U.S. (assuming a semester system):
Many admitted students have taken upper-level undergraduate mathematics courses or graduate courses. Nevertheless, the department does admit very promising students whose preparation falls a little short of the above model. In such cases, we strongly recommend that the student start to close the gap over the summer, before arriving for the start of the fall semester.
Student Visa Information: The Office of International Services at Homewood will assist admitted international students in obtaining a student visa.
English Proficiency: Johns Hopkins University requires students to have adequate English proficiency for their course of study. Students must be able to read, speak, and write English fluently upon their arrival at the university. Applicants whose native language is not English must submit proof of their proficiency in English before they can be offered admission and before a visa certificate can be issued. Proficiency can be demonstrated by submitting results from either the Test of English as a Foreign Language (TOEFL) or the IELTS . Johns Hopkins prefers a minimum score of 100 on the TOEFL or a Band Score of 7 on the IELTS. Results should be sent to Johns Hopkins directly by TOEFL or IELTS. Applicants taking the IELTS must additionally upload a copy of their score through the application system. However, do not send the student copy or a photocopy of the TOEFL.
Course requirements.
Mathematics PhD candidates must show satisfactory work in Algebra (110.601-602), Real Variables (110.605), Complex Variables (110.607), and one additional non-seminar mathematics graduate course in their first year. The first-year algebra and analysis requirement can be satisfied by passing the corresponding written qualifying exam in September of the first year; these students must complete at least two courses each semester. In addition, PhD candidates must take Algebraic Topology (110.615) and Riemannian Geometry (110.645) by their second year. Students having sufficient background can substitute an advanced topology course for 110.615, or an advanced geometry course for 110.645 with the permission of the instructor.
Candidates must show satisfactory work in at least two mathematics graduate courses each semester of their second year, and if they have not passed their oral qualifying exam, in the first semester of their third year.
Candidates must pass written qualifying exams by the beginning of their second year in Analysis (Real & Complex) and in Algebra. Exams are scheduled for September and May of each academic year, and the dates are announced well in advance.
Candidates must pass an oral qualifying examination in the student’s chosen area of research by April 10 of the third year. The topics of the exam are chosen in consultation with the faculty member who has agreed (provisionally) to be the student’s thesis advisor, who will also be involved in administering the exam.
Candidates must produce a written dissertation based upon independent and original research. After completion of the thesis research, the student will defend the dissertation by means of the Graduate Board Oral exam . The exam must be held at least three weeks before the Graduate Board deadline the candidate wishes to meet.
Our PhD program does not have a foreign language requirement.
Information for.
How to apply.
In this section.
Tuesday, July 16, 2024 | By jsteepe
Gregory Foran, a PhD in Biological Sciences candidate, will defend his thesis titled “Mechanistic Insights into the Notch signalling pathway through Molecular Condensation” on Tuesday, July 23rd at 1 p.m.
The examination committee members are Elizabeth Vlossak, Chair; Aleksandar Necakov, Supervisor; Rhett A. Kovall, External Examiner (University of Cincinnati); Thad Harroun, Internal Examiner; and Jeff Stuart and Gaynor Spencer, Committee Members.
Tags: Biological Sciences , FMS , Thesis defence Categories: Events
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Mathematics PhD Program. The Ph.D. program in the Department of Mathematics provides students with in-depth knowledge and rigorous training in all the subject areas of mathematics. A core feature is the first-year program, which helps bring students to the forefront of modern mathematics. Students work closely with faculty and each other and ...
Mathematics education doctoral students will complete core courses in mathematics and mathematics education. The program also requires elective courses from areas such as teaching specialized content, teaching K-12 students, mathematics technology, problem solving for secondary students, reasoning and proof. The culminating research activity is ...
In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements. During the first year of the Ph.D. program: Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics. Pass the six-hour written Preliminary Examination covering calculus ...
The graduate Mathematics Program at Harvard is designed for students who hope to become research mathematicians and show definite promise in this direction. Once the student has demonstrated a command of basic mathematical concepts by passing the qualifying examination, the emphasis is on getting to the frontiers of some field by independent ...
Mathematics PhD candidates must show satisfactory work in Algebra (110.601-602), Real Variables (110.605), Complex Variables (110.607), and one additional non-seminar mathematics graduate course in their first year. The first-year algebra and analysis requirement can be satisfied by passing the corresponding written qualifying exam in September ...
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Note: This page summarizes the requirements for PhD students in mathematics who entered our program before Fall 2024. For the current requirements please see this page. Requirements Outline. The Ph.D. degree is a research degree and the principal requirement is that a student writes an original research thesis. The thesis is produced under the ...
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Statement of Goals: Describe the strengths and motivation of the applicant, the purpose for applying to a graduate program in mathematics, and why the applicant is interested in the intended degree. This forum should be used to make the applicant's strongest case for admission and, thus, should be well written.
It was really one of the high points of twentieth century mathematics when its proof was completed in the 70s by Pierre Deligne (building on foundations laid by Grothendieck).. What I was hoping to do was introduce tools from algebraic geometry that enter into the proof of this theorem to get the graduate students and recent PhDs who were attending the conference interested in exploring them.
Estonia restructured their schedule so that students in Grades 10-12 take an average of 32 short courses per year and must complete a minimum of 96 courses to graduate over three years.
Gregory Foran, a PhD in Biological Sciences candidate, will defend his thesis titled "Mechanistic Insights into the Notch signalling pathway through Molecular Condensation" on Tuesday, July 23rd at 1 p.m. The examination committee members are Elizabeth Vlossak, Chair; Aleksandar Necakov, ...