ucla math phd

Dear Prospective Applicant,

Thank you for your interest in graduate studies in the Department of Mathematics at UCLA. The application deadline is . Application review process begins in late December; to ensure full consideration, applications should be complete, with all supporting material submitted, by that time.

You must submit the UCLA Graduate Admissions Application (see ) You must submit also the Application Fee for the UCLA Graduate Admissions Application. Instructions for this payment are given online. As part of the Graduate Division Application, you will be required to submit:

Each applicant must select an area (pure or applied) and a field of interest as part of the application. The two areas have slightly different course requirements but both allow for flexibility to take many combinations of courses and qualifying exams throughout the department. Students can ask to switch areas or fields after starting the program if their interests change.

Applicants for the MA program must have a 3.2 GPA in upper division math courses; applicants for the PhD program must have a 3.5 GPA in upper division math courses. Applicants with a Master's degree must maintain a 3.6 GPA.

Prospective students do not need to have an undergraduate mathematics major, but must complete at least 12-quarter, or 8-semester courses in substantial upper division mathematics. Comparable Upper Division Courses at UCLA:

• Algebra 110AB : Ring of integers, integral domains, fields, polynomial domains, unique factorization. Groups, structure of finite groups.
• Linear Algebra 115AH : Abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory.
• Analysis 131ABH : Rigorous introduction to foundations of real analysis; real numbers, point set topology in Euclidean space, functions, continuity. Derivatives, Riemann integral, sequences and series of functions, power series, Fourier series.
• Differential Geometry 120A : Curves in 3-space, Frenet formulas, surfaces in 3-space, normal curvature. Gaussian curvature. Congruence of curves and surfaces. Intrinsic geometry of surfaces, isometrics, geodesics, Gauss/Bonnet theorem.
• Ordinary Differential Equations 135AB : Systems of differential equations; linear systems with constant coefficients, analytic coefficients, periodic coefficients, and linear systems with regular singular points; existence and uniqueness results; linear boundary and eigenvalue problems; two-dimensional autonomous systems, phase/plane analysis, stability and asymptotic behavior of solutions.
• Applied Numerical Methods 151AB : Introduction to numerical methods with emphasis on algorithms, analysis of algorithms, and computer implementation issues. Solution of non-linear equations, numerical differentiation, integration, and interpolation. Numerical solution of differential equations.
• Three letters of recommendation with preferably all, but always at least 2, from mathematicians who are familiar with the student's work.
• The GRE General and Math Subject tests. For results to reach us in time, the General test should be taken by October and the Math Subject test by November.

Useful Links:

For more information, contact the Math Dept. Graduate Advisor, [email protected] . Last Updated:

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The Biomathematics PhD is the flagship doctoral program of the  Department of Computational Medicine at UCLA. This program has been awarding Biomath PhDs continuously since our first doctoral graduate in 1979. The program is designed for students who want a broad education in developing, testing, and implementing cutting-edge mathematical models, computational algorithms, and statistical methods at the interface of the mathematical and biomedical sciences. Student research in the Biomathematics program is usually focused in one of three Areas of Emphasis:

Imaging and Biomedical Data (Chairs: Jeffrey Chiang and Daniel Tward)

This area aims to develop computational tools for analyzing signals and data collected in a healthcare setting. Our goals are to increase understanding of health and disease, and inform clinical diagnosis and decision making. Topics include analysis of medical images in neurodegenerative disease, waveforms collected during anesthesia, and data from electronic health records from diverse populations. In this area, mathematical modeling and machine learning are complemented by a rigorous understanding of normal and pathological anatomy and physiology.

Mathematical and Systems Modeling (Chairs: Tom Chou and Van Savage)

This area aims to develop mechanistic mathematical and computational models that describe biomedical experiments and observations, provide predictions, and inform new directions of investigation. Topics include, but are not limited to, population and ecological modeling, physiological systems modeling, molecular and cellular biophysical modeling, cell development and cancer modeling, theoretical neuroscience, and immune system modeling.

Computational Genomics (Chairs: Brunilda Balliu and Harold Pimentel)

This area aims to develop computational methods that enable insights for populations and individuals from the range of available genomic data from raw sequence data to summary statistics. Topics include high-throughput sequence alignment and analysis, genetic modeling of complex traits, small-sample experimental design and inference, and genetic perturbation inference. Common mathematical techniques include high-dimensional statistics, hierarchical probabilistic models, graphical models, and randomized algorithms.

Our trainees obtain a Ph.D. degree in under five years on average. Over half of our graduates hold academic or medical center faculty positions; the other half work in government or industry in quantitative biosciences, e.g., founding a healthcare AI company or working in Google’s Brain Genomics Team. Our students receive a stipend of more than $40K/year and also have their UCLA tuition & fees and health insurance paid. In addition, students have access to multiple NIH-funded training programs in specific areas of interest including the  Genomic Analysis Training Program (GATP) and the  Biomedical Data Science Training Program for Precision Health Equity (BDTP) . 

The goal of the doctoral program is to train creative, fully independent investigators in mathematical, theoretical, and computational biology. These investigators will be able to initiate research in applied mathematics, statistics, and computer science, as well as their chosen biomedical specialty. This biological breadth contends with their quantitative breadth. Further, this breadth is reflected in a curriculum providing doctoral-level competence in a biomedical specialty; substantial training in applied mathematics, statistics, and computing; and appropriate biomathematics courses and research experience.

Trainees typically focus on one of the three Areas of Emphasis during their dissertation research, but the Ph.D. program is structured so that each trainee obtains foundations in all areas.  Trainees in the program will obtain experience in developing new mathematical and computational methods for modeling biomedical systems and work collaboratively to apply these models in their biomedical domain, including within and outside the UCLA Health System. 

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UCLA Graduate Programs

Program Requirements for Physics and Astronomy (Master of Quantum Science and Technology)

Applicable only to students admitted during the 2024-2025 academic year.

Physics and Astronomy

College of Letters and Science

Graduate Degrees

The Department of Physics and Astronomy offers the Master of Arts in Teaching (M.A.T.) in Astronomy and Astrophysics, the Master of Science (M.S.) and Doctor of Philosophy (Ph.D.) degrees in Astronomy and Astrophysics, the Master of Arts in Teaching (M.A.T.) in Physics, the Master of Science (M.S.) and Doctor of Philosophy (Ph.D.) degrees in Physics, and the Master of Quantum Science and Technology (M.Q.S.T.) degree.

Admissions Requirements

Master of Quantum Science and Technology

The Academic Program Director and faculty director will advise students in the program.

Areas of Study

Quantum science and technology

Foreign Language Requirement

Course Requirements

The UCLA MQST program is a one-year, full-time program that consists of ten courses (40 units), an internship, and a capstone presentation on the internship. The program is centered around hands-on research through three laboratory classes (QST 410 – 412), which introduce the students to the topics and technology of the field. These classes are completed with three theory classes (Physics 245, QST 402 – 403), which are crafted to bring students from diverse backgrounds to a working knowledge of QST topics. The students will also take two classes in programming quantum computers (CS 238 – 239) to prepare them for the workforce, as well as one approved elective in Biomathematics, Chemistry, Computer Science, Electrical & Computer Engineering, Math, Physics, or Statistics & Data Science. Other elective courses may be substituted in special cases with prior approval of the Program Director.

Elective course approval (separate from the approved list of elective courses): Any course applied towards the degree must align with the technical goals of the program. Approval of an elective course is granted on a course-by-course basis after review of the syllabus. Course approval must be obtained in writing from the Program Director before the start of the quarter in which the course is being taken.

The list of approved electives is: BIOMATH 204; CHEM 115AB, 215AB, 219S, 219V; COM SCI 132, M146, 161, 259, 260B, 260C, 263, 267A; EC ENGR 100, 101B, 110, 110H, 110L, 111L, 113, 115ABC, 115AL, 121B, M146, M153, 163A, 163C, 170A, 170B, 170C, 163DA, 231E, 232E, C243A, 252; MATH 120AB, 156, 167, 226A, 210C, 226A; PHYSICS 115C, 117, 118, 123, 213ABC, 140AB, 170A, 170N, 192, 215A, 221C, 231B, 241ABC, 221ABC; STAT 202C.

Sample study plan:

Fall Quarter Physics 245: Introduction to Quantum Computing (4 units) CS 238: Quantum Programming (4 units) QST 410: Lab Module 1 (4 units)*

Winter Quarter QST 402: Introduction to Quantum Information (4 units) CS 239: Quantum Algorithms (4 units) QST 411: Lab Module 2 (4 units)*

Spring Quarter QST 403: Theory of Quantum Devices (4 units) Elective (4 units) QST 412: Lab Module 3 (4 units)*

*The Lab Modules do not need to be taken in order and will be taught simultaneously.

Summer Quarter QST 596: Directed Individual Studies (4 units) or QST 597: Research preparation for Oral Exam (4 units)

Teaching Experience

Not required

Field Experience

Capstone Plan

The requirement is met by the completion of QST 596 or QST 597. This class will begin during Summer Session A and consist of a research experience with a minimum length of 10 weeks. Students will either perform research in the group of a UCLA professor or through an improved internship at a QST-related company. During the final week of the research experience, students will present their work and be examined via an oral examination.

Successful completion of the MQST Capstone Project requires that the students participate in a QIS (quantum information science) related project in which they utilize the knowledge and skills obtained through their coursework and instructional laboratories during the academic year. It also requires that they prepare a presentation based on the work they performed for their Capstone Project and give an oral presentation to their chosen capstone committee. Upon approval of the committee and submission of their presentation to the MQST program, they pass the capstone project.

Thesis Plan

Time-to-Degree

From admission to award of degree: one calendar year (September-August)

Academic Disqualification and Appeal of Disqualification

University Policy

A student who fails to meet the above requirements may be recommended for academic disqualification from graduate study. A graduate student may be disqualified from continuing in the graduate program for a variety of reasons. The most common is failure to maintain the minimum cumulative grade point average (3.00) required by the Academic Senate to remain in good standing (some programs require a higher grade point average). Other examples include failure of examinations, lack of timely progress toward the degree and poor performance in core courses. Probationary students (those with cumulative grade point averages below 3.00) are subject to immediate dismissal upon the recommendation of their department. University guidelines governing academic disqualification of graduate students, including the appeal procedure, are outlined in Standards and Procedures for Graduate Study at UCLA .

Open-rank Faculty Position in Computational and Behavioral Neuroscience in the UCLA Department of Psychology

scarusoucla

The UCLA Department of Psychology invites applications for a full-time, tenure-track or tenured faculty position at the rank of Assistant Professor, Associate Professor, or Professor specializing in computational neuroscience and the use of advanced mathematical methods and theoretical approaches to understand behavior and brain processes. Potential applicants who have questions about how their specialization aligns with the position can inquire to Prof. Kate Wassum, search committee chair, at [email protected] . The UCLA Department of Psychology is located within the Division of Life Sciences, part of the College of Letters and Science that serves undergraduate and graduate students. The search is particularly geared toward candidates who share our belief that, as professors at a leading public university, we strive for excellence in teaching, service, research, and in promoting equity, diversity and inclusion. We are eager to welcome an outstanding scientist and mentor who will create opportunities designed to advance development of the next generation of diverse scientists, while also contributing to the collaborative and supportive environment that characterizes our Department. Applicants must hold a Ph.D. in Psychology, Neuroscience, Computer Science, Cognitive Science, Physics, Applied Mathematics, Engineering, Statistics, or any relevant discipline before the time of hire. Applicants should demonstrate a strong track record of productive and impactful research relative to their career stage, with a substantive focus on multi-level modeling including synaptic, cellular, and/or network-level resolution of neuronal activity, behavior, and the relationship between the two. We are open to candidates who conduct in vivo or in vitro experiments to test aspects of their models, as well as those who conduct in silico (simulation) experiments to quantitatively describe principles and generate hypotheses regarding brain functions that then can be tested by experimentalists in vivo. In either case, applicants should demonstrate a strong track record of or potential for working with experimentalists to generate predictions about behavior and neural activity, separately and/or in combination, understanding psychological processes and their brain mechanisms, and iterative experimental testing of those predictions. Areas of emphasis are open, though we are particularly interested in candidates who can contribute to fundamental behavioral neuroscience research in non-human animal models and synergize with our existing strengths in learning, memory, and/or decision making. The candidate should have a demonstrated interest in collaboration with researchers in behavioral neuroscience. Applicants should demonstrate an outstanding record of research and potential for extramural research support. The successful candidate will also demonstrate a history of or the potential for contributing to the teaching, mentoring, service, and diversity missions of the Department and University. This includes computational and statistical techniques that are foundational to behavioral and brain processes. Applicants with a history of commitment to culturally competent mentoring and supervision of students from underrepresented groups are strongly encouraged to apply. We welcome candidates whose experience in research, mentoring, teaching, and service have prepared them to contribute to our commitment to diversity and excellence. We are eager to welcome a colleague who is prepared to contribute to our efforts to cultivate and collaborate with a diverse group of scholars and foster a culture of growth, inclusion, and belongingness. The Psychology Department and broader UCLA Neuroscience community will offer the candidate a rich and diverse intellectual environment with myriad opportunities for productive collaboration. We strongly encourage applications from women, individuals from racial and ethnic groups historically excluded in higher education, and individuals from groups who remain underrepresented, across national origin, physical ability, gender and sexual identity, age, socioeconomic status, and other minoritized identity groups. UCLA offers a diverse campus community and is a leader in advancing strategies to diversify its faculty. This includes recent initiatives such as Rising to the Challenge, Hispanic-Serving Institution initiative, and Native American/Pacific Islander Bruins Rising. UCLA aims to achieve federal designation as a Hispanic Serving Institution by 2025. UCLA is home to a diverse student body of 46,000 undergraduate and graduate students and is ranked highest among the top 20 national universities for social mobility — a measurement of the achievement of students from challenging socioeconomic backgrounds. UCLA also has programs to assist in partner employment, childcare, schooling, and other family concerns. For additional information, visit the UCLA Academic Affairs and Personnel Office website ( https://apo.ucla.edu/faculty-career-development/work-life-balance ) or the UC Office of the President’s website ( https://www.ucop.edu/faculty-diversity/resources/family-friendly-practices-and-policies/family-friendly-policies-and-issues.html and https://www.ucop.edu/faculty-diversity/resources/faculty-diversity-policies/index.html ). To ensure full consideration, the online application should be completed and submitted by October 31, 2024. Applications should include a cover letter, curriculum vitae, contact information for three recommenders, three relevant publications, and three personal statements, each of no more than three pages. Letters of recommendation will be requested at a later date from applicants who progress to a later stage of review. UCLA and the UCLA Department of Psychology are firmly committed to the principles of equity, diversity, and inclusion (EDI). Therefore, in addition to research and teaching statements, we require applicants to submit an EDI statement that addresses their past, present, and future (planned) contributions to EDI in their scholarship, teaching, and service. Applicants should indicate their history of commitment to mentoring students from underrepresented groups in their cover letter or EDI statement. Additional information about the EDI statement is available at https://ucla.app.box.com/v/edi-statement-faqs . Requests for information should be sent to the search committee chair at [email protected] . The posted UC salary scales ( https://www.ucop.edu/academic-personnel-programs/compensation/index.html ) set the minimum pay determined by rank and step at appointment. See Table 1. The salary range for this position is $78,200-$205,400. “Off-scale salaries”, i.e. a salary that is higher than the published system-wide salary at the designated rank and step, are offered when necessary to meet competitive conditions. Apply at the following website: https://recruit.apo.ucla.edu/JPF09740 . The University of California is committed to creating and maintaining a community dedicated to the advancement, application, and transmission of knowledge and creative endeavors through academic excellence, where all individuals who participate in University programs and activities can work and learn together in a safe and secure environment, free of violence, harassment, bullying and other demeaning behavior, discrimination, exploitation, or intimidation. With this commitment as well as a commitment to addressing all forms of academic misconduct, UCLA conducts targeted employment reference checks for finalists to whom departments or other hiring units would like to extend formal offers of appointment into Academic Senate faculty positions. The targeted employment reference checks involve contacting the finalists’ current and prior places of employment to ask whether there have been substantiated findings of misconduct that would violate the University’s Faculty Code of Conduct. To implement this process, UCLA requires all applicants for Academic Senate faculty positions to complete, sign, and upload the form entitled “Authorization to Release Information” into RECRUIT as part of their application. If the applicant does not include the signed authorization to release information with the application materials, the application will be considered incomplete. As with any incomplete application, the application will not receive further consideration. Although all applicants for faculty recruitments must complete the entire application, only finalists (i.e., those to whom the department or other hiring unit would like to extend a formal offer) considered for Academic Senate faculty positions will be subject to targeted employment reference checks. As a University employee, you will be required to comply with all applicable University policies and/or collective bargaining agreements, as may be amended from time to time. Federal, state, or local government directives may impose additional requirements. The University of California is an Equal Opportunity/Affirmative Action Employer. All qualified applicants will receive consideration for employment without regard to race, color, religion, sex, sexual orientation, gender identity, national origin, disability, age or protected veteran status. For the University of California’s Affirmative Action Policy, please visit https://www.ucop.edu/academic-personnel-programs/_files/apm/apm-035.pdf . For the University of California’s Anti-Discrimination Policy, please visit https://policy.ucop.edu/doc/1001004/Anti-Discrimination .

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Principal Financial Group- Corporate Headquarters

Equities intern – graduate (summer 2025).

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What You’ll Do

Principal Asset Management will host interns for our equity investment division during the Summer of 2025. The intern will join the equity research analyst team of Principal Asset Management with over 100 billion USD in AUM. You will have the opportunity to work across multiple equity styles including US, International, and Emerging markets.

Principal Equities seeks companies demonstrating positive fundamental change, with exploitable expectation gaps and pricing anomalies. Our conviction is built on fundamental bottom-up insights rather than making macro-based calls.

Principal Asset Management, a subsidiary of Principal Financial group, offers global asset management expertise across a diverse set of traditional and alternative asset classes. Our mission, integrity, and customer focus have made us a trusted leader for more than 140 years! Check us out at www.principalam.com .

What You’ll Do

• Provide comprehensive overview of the equity investment process including deep fundamental analysis focused on drivers of the investment process, philosophy application, stock valuation modeling, portfolio construction, performance monitoring, and trading
• Support our Research Analyst team to generate ideas and aid in construction of outperforming strategies
• Participate in special projects for fundamental analysts to identify buy/sell candidates which will allow you to attend analysis meetings and product specific discussions with individual analysts as well as create your own investment thesis on stocks. For those Associates seeking a more quantitative focus, custom projects will also be assigned
• Immerse yourself in equity research teams including global, daily meetings, sector teams, and investment discussion meetings
• Exposure to external management and industry sell side meetings
• Participate in the full trade life cycle of complex, multi-currency, institutional funds. This will include extensive work in our Order Management System as well as proprietary and third- party investment management tools

Who You Are

• Candidates must be pursuing a Master’s, MBA, or PHD in finance, security analysis, math, statistics, economics, accounting or an equivalent emphasis
• Prior internship, work experience, or focused Masters level course work in equity investments
• Must have strong knowledge of investments combined with excellent mathematical skills
• Advanced PC skills and proficiency with Excel
• Availability to work fulltime, onsite in Des Moines, New York, or Seattle during the summer of 2025

Skills That Will Help You Stand Out

• Chartered Financial Analyst (CFA) or CFA candidate
• Exceptional organizational skills
• Demonstrated interest in financial markets
• Experience with FactSet, Bloomberg, Charles River, or similar
• Strong written and verbal communication skills
• Leadership positions within student, work or community organizations
• Strong work ethic

Salary Range Information Salary ranges below reflect targeted base salaries. Non-sales positions have the opportunity to participate in a bonus program. Sales positions are eligible for sales incentives, and in some instances a bonus plan, whereby total compensation may far exceed base salary depending on individual performance. Actual compensation for all roles will be based upon geographic location, work experience, education, licensure requirements and/or skill level and will be finalized at the time of offer.

Salary Range (Non-Exempt expressed as hourly; Exempt expressed as yearly)

$49 – $51 / hour

Time Off Program

Paid company holidays and any time off required in your state.

Pension Eligible

Our Internship Culture

Join an established program that provides hands-on experiences for 200+ interns each year! You’ll learn new skills with dedicated teams and mentors, build your professional network and collaborate across a global Fortune 500 company. We care about offering you diverse experiences and exciting challenges that push you to reach for bigger life goals, all while enjoying our flexibility and work life balance. Join us for events such as our Executive Speaker Series, gain career direction, and much more! https://www.principal.com/about-us/careers/internships

Internship Stipend

You will receive a lump sum stipend of $3,000. This amount is intended to support incidental expenses you may incur as part of your internship. The Company will provide a tax gross-up on this stipend as a financial benefit, but is not intended to compensate for all tax liabilities.

Work Environments

You must be available to work onsite in Des Moines, New York, or Seattle.

Work Authorization/Sponsorship

At this time, we’re not considering applicants that need any type of immigration sponsorship (additional work authorization or permanent work authorization) now or in the future to work in the United States. This includes, but IS NOT LIMITED TO: F1-OPT, F1-CPT, H-1B, TN, L-1, J-1, etc. For additional information around work authorization needs please use the following links.

Nonimmigrant Workers and Green Card for Employment-Based Immigrants

Investment Code of Ethics

For Principal Asset Management positions, you’ll need to follow an Investment Code of Ethics related to personal and business conduct as well as personal trading activities for you and members of your household. These same requirements may also apply to other positions across the organization.

Experience Principal

At Principal, we value connecting on both a personal and professional level. Together, we’re imagining a more purpose-led future for financial services – and that starts with you. Our success depends on the unique experiences, backgrounds, and talents of our interns.

Principal is an Equal Opportunity Employer

All qualified applicants will receive consideration for employment without regard to race, color, religion, sex, sexual orientation, gender identity, national origin, disability, or veteran status.

Posting Window We will accept applications for 3 full days following the Original Posting Date, after which the posting may remain open or be removed based upon applications received. If we choose to post the job again, we will accept additional applications for at least 1 full day following the Most Recently Posted Date. Please submit applications in a timely manner as there is no guarantee the posting will be available beyond the applicable deadline.

Original Posting Date

Most Recently Posted Date