UNIVERSITY OF CALIFORNIA, SANTA CRUZ · UNITED STATES
Mathematics PhD
PhD · Taught in en
At a glance
72 mo
Duration
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IELTS
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Tuition / yr
en
Language
PhD
Level
The Mathematics Ph.D. program at UC Santa Cruz aims to equip students with the skills necessary for careers in academia, industry, or teaching. Graduates will be proficient in solving problems using rigorous mathematical language, communicating mathematical concepts effectively, and conducting independent research. Students receive initial guidance from an assigned faculty mentor, and later select a Ph.D. advisor based on their research interests. A study and research plan is developed collaboratively with the advisor, who also serves as the thesis advisor. The program is designed for completion within six years, with the possibility of earning a master's degree en route to the Ph.D.
Curriculum
The curriculum focuses on core areas of algebra, analysis, and geometry/topology. Students must pass preliminary examinations in these fields. Additional coursework is required, including a pedagogy course and electives.
- Year 1-2
- Algebra IMATH 200
- Algebra IIMATH 201
- Algebra IIIMATH 202
- Analysis IMATH 204
- Analysis IIMATH 205
- Analysis IIIMATH 206
- Manifolds IMATH 208
- Manifolds IIMATH 209
- Manifolds IIIMATH 210
- Pedagogy of MathematicsMATH 288A
- Further Study
- Algebra IVMATH 203
- Complex AnalysisMATH 207
- Manifolds IVMATH 211
Frequently asked questions
- How long does the Mathematics PhD program typically take to complete?
- The Mathematics PhD program is designed for completion within six years. It is possible to earn a master's degree along the way to the PhD.
- What are the core areas of study in the Mathematics PhD curriculum?
- The curriculum focuses on core areas including algebra, analysis, and geometry/topology. Students are required to pass preliminary examinations in these fields.
- What are the tuition fees for international students?
- International students are considered nonresidents, which impacts tuition fees. The process for determining residency requires submitting a Statement of Legal Residence (SLR) and potentially supporting documents.
- What is the deadline for international students to submit their Statement of Legal Residence (SLR)?
- For Fall admission, the deadline to submit the Statement of Legal Residence (SLR) is June 6. Required documents for residency determination must be submitted by July 1.
- What career paths can Mathematics PhD graduates pursue?
- Graduates are well-prepared for careers in academia, industry, or teaching. They will be proficient in problem-solving, communicating mathematical concepts, and conducting independent research.
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Fees
Tuition (international)Nonresident tuition applies to students who have not established California residency. The process for determining residency is outlined by the University of California system and requires submitting a Statement of Legal Residence (SLR) and potentially supporting documents.
Tuition (home)Resident tuition applies to students who have established California residency.
LivingInformation on graduate student costs and budgets is available, but specific amounts for living costs are not detailed.
Residency status impacts tuition fees. Deadlines for submitting the Statement of Legal Residence (SLR) are May 6 for freshmen, and June 6 for transfer and graduate students. Document submission deadlines for residency determination are June 1 for freshmen, July 1 for transfer students, and July 1 for graduate students. Failure to complete the SLR by the deadline may result in an enrollment hold.
How to apply
1. Complete Statement of Legal Residence (SLR)If required, complete the Statement of Legal Residence (SLR) via the MyUCSC portal. This form helps determine your residency status for tuition purposes. For Fall admission, the graduate deadline to submit the SLR is June 6. Ensure all required documents are submitted by July 1 for timely review.
2. Admissions ReviewThe university reviews applications and residency status. If additional documents are needed for residency determination, you will be notified via your MyUCSC To-Do List or UCSC email.
Frequently asked questions
How long does the Mathematics PhD program typically take to complete?
+
The Mathematics PhD program is designed for completion within six years. It is possible to earn a master's degree along the way to the PhD.
What are the core areas of study in the Mathematics PhD curriculum?
+
The curriculum focuses on core areas including algebra, analysis, and geometry/topology. Students are required to pass preliminary examinations in these fields.
What are the tuition fees for international students?
+
International students are considered nonresidents, which impacts tuition fees. The process for determining residency requires submitting a Statement of Legal Residence (SLR) and potentially supporting documents.
What is the deadline for international students to submit their Statement of Legal Residence (SLR)?
+
For Fall admission, the deadline to submit the Statement of Legal Residence (SLR) is June 6. Required documents for residency determination must be submitted by July 1.
What career paths can Mathematics PhD graduates pursue?
+
Graduates are well-prepared for careers in academia, industry, or teaching. They will be proficient in problem-solving, communicating mathematical concepts, and conducting independent research.