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The Mathematical and Computational Finance Program at Stanford University (“MCF”) is one of the oldest and most established programs of its kind in the world. Starting out in the late 1990’s as an interdisciplinary financial mathematics research group, at a time when “quants” started having a greater impact on finance in particular, the program formally admitted masters students starting in 1999. The current MCF program was relaunched under the auspices of the Institute for Computational and Mathematical Engineering in the Stanford School of Engineering in 2014 to better align with changes in industry and to broaden into areas of financial technology in particular. We are excited to remain at the cutting edge of innovation in finance while carrying on our long tradition of excellence.

The MCF Program is designed to have smaller cohorts of exceptional students with diverse interests and viewpoints, and prepare them for impactful roles in finance. We are characterized by our cutting edge curriculum marrying traditional financial mathematics and core fundamentals, with an innovative technical spirit unique to Stanford with preparation in software engineering, data science and machine learning as well as the hands-on practical coursework which is the hallmark skill-set for leaders in present day finance.

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  • Mathematical and Computational Finance @ Oxford
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DPhil (PhD) studies in Mathematical Finance @ Oxford

The Mathematical and Computational Finance Group (MCFG) at Oxford is one of the largest and most dynamic research environments in mathematical finance in the world.

We combine core mathematical expertise with interdisciplinary approach. We foster lively interactions between researchers coming from different backgrounds and a truly impressive seminar programme, all this within one of the world's top universities, singular through its tradition and unique environment.

If you are passionate about mathematics and research and want to pursue a DPhil in Financial Mathematics, Oxford simply offers one of the best and most exciting places to do it!

 Research Topic and Supervisor Allocation

We welcome students with their own particular ideas of research topic as well as students with a broad interest in the field of Mathematical Finance. You have an opportunity to tell us about your research passions, and indicate potential supervisors, in your application form. This will be followed up during the interview.

In light of this, if you are offered a place, an appropriate supervisor will be proposed prior to your arrival in Oxford. However, there can be some flexibility over this once you arrive.  Keeping with the Oxford tradition, we offer our students independence and respect as early researchers, and always aim to match students with the most appropriate supervisors.

Outstanding students with a strong background in analysis, probability and data science are welcome to apply for our DPhil program. Each year we receive a large number of excellent applications. The selection process is extremely competitive and we can only admit a handful of candidates each year.

In order to apply for DPhil studies in Mathematical & Computational Finance, please indicate your interest in Mathematical and Computational Finance on your application form. Selected applicants will be invited for an interview -- either in person or by video call.

For general information on DPhil please consult our  Doctor of Philosophy (DPhil) admissions pages .

For the CDT Mathematics of Random Systems please consult our  the CDT website .

Or please contact  @email .

Funding for DPhil students is available from a variety of sources. Please note that some funding opportunities have deadlines: it is advised to apply before the deadline in order to maximise your chances of receiving funding.

Funding is also available through the  Centre for Doctoral Training in Mathematics of Random Systems . To apply for this program please How to Apply .

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DPhil Graduates

DPhil Alumni: Martin Gould

Department of Mathematics

Financial mathematics.

A pioneer in its field, the Financial Mathematics Program offers 15 months of accelerated, integrated coursework that explores the deep-rooted relationship that exists between theoretical and applied mathematics and the ever-evolving world of finance. Their mission is to equip students with a solid foundation in mathematics, and in doing so provide them with practical knowledge that they can successfully apply to complicated financial models. Financial Mathematics students become leaders in their field; program alumni have gone forth to find success at companies like JP Morgan, UBS, and Goldman Sachs. Read more

Why Study for a Mathematical Finance PhD?

I was emailed by a reader recently asking about mathematical finance PhD programs and the benefits of such a course. If you are considering gaining a PhD in mathematical finance, this article will be of interest to you.

If you are currently near the end of your undergraduate studies or are returning to study after some time in industry, you might consider starting a PhD in mathematical finance. This is an alternative to undertaking a Masters in Financial Engineering (MFE), which is another route into a quantitative role. This article will discuss exactly what you will be studying and what you are likely to get out of a PhD program. Clearly there will be differences between studying in the US, UK or elsewhere. I personally went to grad school in the UK, but I will discuss both UK and US programs.

Mathematical finance PhD programs exist because the techniques within the derivatives pricing industry are becoming more mathematical and rigourous with each passing year. In order to develop new exotic derivatives instruments, as well as price and hedge them, the financial industry has turned to academia. This has lead to the formation of mathematical finance research groups - academics who specialise in derivatives pricing models, risk analysis and quantitative trading.

Graduate school, for those unfamiliar with it, is a very different experience to undergraduate. The idea of grad school is to teach you how to effectively research a concept without any guidance and use that research as a basis for developing your own models. Grad school really consists of a transition from the "spoon fed" undergraduate lecture system to independent study and presentation of material. The taught component of grad school is smaller and the thesis component is far larger. In the US, it is not uncommon to have two years of taught courses before embarking on a thesis (and thus finding a supervisor). In the UK, a PhD program is generally 3-4 years long with either a year of taught courses, or none, and then 3 years of research.

A good mathematical finance PhD program will make extensive use of your undergraduate knowledge and put you through graduate level courses on stochastic analysis, statistical theory and financial engineering. It will also allow you to take courses on general finance, particularly on corporate finance and derivative securities. When you finish the program you will have gained a broad knowledge in most areas of mathematical finance, while specialising in one particular area for your thesis. This "broad and deep" level of knowledge is the hallmark of a good PhD program.

Mathematical Finance research groups study a wide variety of topics. Some of the more common areas include:

  • Derivative Securities Pricing/Hedging: The technical term for this is "financial engineering", as "quantitative analysis" now encompasses a wide variety of financial areas. Some of the latest research topics include sophisticated models of options including stochastic volatility models, jump-diffusion models, asymptotic methods as well as investment strategies.
  • Stochastic Calculus/Analysis: This is more of a theoretical area, where the basic motivation stems from the need to solve stochastic differential equations. Research groups may look at path-dependent PDEs, functional Ito calculus, measure theory and probability theory.
  • Fixed Income Modeling: Research in this area centres on effectively modelling interest rates - such as multi-factor models, multi-curve term structure models as well as interest rate derivatives such as swaptions.
  • Numerical Methods: Although not always strictly related to mathematical finance, there is a vast amount of university research carried out to try and develop more effective means of solving equations numerically (i.e. on the computer!). Recent developments include GPU-based Monte Carlo solvers, more efficient matrix solvers as well as Finite Differences on GPUs. These groups will almost certainly possess substantial programming expertise.
  • Market Microstructure/High-Frequency Modeling: This type of research is extremely applied and highly valued by funds engaged in this activity. You will find many academics consulting, if not contracting, for specialised hedge funds. Research areas include creating limit order market models, high frequency data statistical modelling, market stability analysis and volatility analysis.
  • Credit Risk: Credit risk was a huge concern in the 2007-2008 financial crisis and many research groups are engaged in determining such "counterparty risks". Credit derivatives are still a huge business and so a lot of research goes into collateralisation of securities as well as pricing of exotic credit derivatives.

These are only a fraction of the total areas that are studied within mathematical finance. The best place to find out more about research topics is to visit the websites of all the universities which have a mathematical finance research group, which is typically found within the mathematics, statistics or economics faculty.

The benefits of undertaking a PhD program are numerous:

  • Employment Prospects: A PhD program sets you apart from candidates who only possess an undergraduate or Masters level ability. By successfully defending a thesis, you have shown independence in your research ability, a skill highly valued by numerate employers. Many funds (and to a lesser extent, banks) will only hire PhD level candidates for their mathematical finance positions, so in a pragmatic sense it is often a necessary "rubber stamp". In investment banks, this is not the case so much anymore, as programming ability is generally prized more. However, in funds, it is still often a requirement. Upon being hired you will likely be at "associate" level rather than "analyst" level, which is common of undergraduates. Your starting salary will reflect this too.
  • Knowledge: You will spend a large amount of time becoming familiar with many aspects of mathematical finance and derivatives theory. This will give you a holistic view into the industry and a more transferable skill set than an undergraduate degree as you progress up the career ladder. In addition, you will have a great deal of time to learn how to program models effectively (without the day-to-day pressure to get something implemented any way possible!), so by the time you're employed, you will be "ahead of the game" and will know best practices. This aspect is down to you, however!
  • Intellectual Prospects: You are far more likely to gain a position at a fund after completing a PhD than without one. Funds are often better environments to work in. There is usually less stress and a more relaxed "collegiate" environment. Compare this to working on a noisy trading floor, where research might be harder to carry out and be perceived as less important.

I would highly recommend a mathematical finance PhD, so long as you are extremely sure that a career in quantitative finance is for you. If you are still unsure of your potential career options, then a more general mathematics, physics or engineering PhD might be a better choice.

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Finance Department | PhD Program

Phd program.

Our faculty, ranked #1 worldwide based on publications in top finance journals (ASU Finance Rankings), consists of more than 30 researchers who study all major areas of finance, making it one of the largest finance faculty in the country. Stern’s finance faculty is highly rated in terms of research output, and faculty members sit on the editorial boards of all major finance journals.

PhD Group

The finance department offers an exceptionally large range of courses devoted exclusively to PhD students. Apart from core PhD courses in asset pricing and corporate finance, students can choose from a range of electives such as household finance, macro-finance, and financial intermediation. PhD students also enjoy the benefits of Stern’s economics department, NYU’s economics department in the Graduate School of Arts and Science (GSAS), and the Courant Institute of Mathematics.

Graduates of Stern’s Finance PhD program have been placed at leading research institutions such as Harvard, MIT, Chicago, Stanford, Wharton, Yale, and UCLA.

Holger Mueller , Finance PhD coordinator

More information on the Finance PhD

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phd in mathematical finance

Mathematics (PHD) – Financial Mathematics Track

Program at a glance.

  • In State Tuition
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Learn more about the cost to attend UCF.

U.S. News & World Report Best Colleges - Most Innovative 2024

The Financial Mathematics track in the Mathematics PhD program is designed to prepare students for research and leadership positions in industry, government, non-governmental organizations, and academia requiring employment of financial mathematics.

The Mathematics PhD program consists of at least 75 credit hours of course work beyond the bachelor's degree, of which a minimum of 48 hours of formal course work, exclusive of independent study, are required. The program requires 36 credit hours of core courses and 15 credit hours of dissertation research (7980).

Total Credit Hours Required: 75 Credit Hours Minimum beyond the Bachelor's Degree

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Enter your information below to receive more information about the Mathematics (PHD) – Financial Mathematics Track program offered at UCF.

Track Prerequisites

Bachelor's degree in related field.

Students entering the graduate program with regular status are assumed to have a working knowledge of undergraduate calculus, differential equations, linear algebra (or matrix theory), boundary value problems, statistics, computer programming, and maturity in the language of advanced calculus (at the level of MAA 4226).

Degree Requirements

Required courses.

  • All students are required to complete the following courses with grade of "B" or better.
  • MAA5237 - Mathematical Analysis (3)
  • MAS5145 - Advanced Linear Algebra and Matrix Theory (3)
  • MAP5641 - Financial Mathematics I (3)
  • MAP6642 - Financial Mathematics II (3)
  • MAP5612 - Computational Methods for Financial Mathematics I (3)
  • MAP6616 - Computational Methods for Financial Mathematics II (3)
  • MAP6646 - Risk Management for Financial Mathematics (3)
  • MAP5606 - Differential Equations for Financial Mathematics (3)
  • MAP6195 - Mathematical Foundations for Massive Data Modeling and Analysis (3)
  • MAP6207 - Optimization Theory (3)
  • STA6857 - Applied Time Series Analysis (3)
  • MAP5931 - Proseminar for Financial Mathematics (1)
  • MAP5933 - Seminar in Financial Mathematics (2)
  • The remaining credit hours consist of additional dissertation research (7980 or 7919), at least 15 credit hours of regular classroom elective courses, and at most 12 credit hours of independent study or independent directed research. Students who pass the qualifying examination may substitute some of the core courses with the approval of the adviser and the graduate program director.

Elective Courses

  • Earn at least 24 credits from the following types of courses: Elective courses require the approval of the adviser and the graduate program director; up to 12 credit hours of elective courses may be taken outside the department. At least one-half of the program courses must be taken at the 6000 level. At least 12 hours of elective course work must be formal course work, exclusive of independent study. Electives are chosen in consultation with the student's advisory committee and may be chosen from the suggested options: Discrete Mathematics, General Applied Mathematics, Mathematical Computer Tomography, Image Processing and Computer Graphics, Mathematical Finance, Mathematical Physics, Pure Mathematics, Data Science, and Mathematical Statistics. A list of elective course options can be obtained from the graduate program director. Courses that are taken outside the Mathematics department must be approved by both the adviser and graduate program director. These courses are selected in consultation with the student's advisory committee.

Dissertation

  • Earn at least 15 credits from the following types of courses: MAP 7980 - Dissertation Research 15 Credit Hours (minimum) After passing the candidacy examination and meeting the other requirements that are required for admission to candidacy, the student can register for Doctoral Dissertation (MAP 7980). A minimum of 15 Doctoral Dissertation credit hours are required for the degree.

Examinations

Qualifying examination.

  • The qualifying/comprehensive examination is based on the core course work. To continue in the PhD program, students must pass the examination at the PhD level. Two attempts are permitted. The examination will be administered twice a year: one in the Fall semester and the other in the Spring semester. To take the examination, students must have earned a "B" or better in each core course, must have a minimum grade point average of 3.0 (out of 4.0) in the program, or must obtain permission from the graduate program director. Students will normally take the examination after the first year and are expected to have passed it by the end of the second year of study, unless a written request for a postponement has been approved by the Graduate Committee at least two months before the examination date. The student must pass the Qualifying Examination in at most two attempts. It is strongly recommended that the student select a dissertation adviser by the completion of 18 credit hours of course work, and it is strongly recommended that the student works with the dissertation adviser to form a dissertation committee within two semesters of passing the Qualifying Examination.

Candidacy Examination

  • The Candidacy Examination consists of a written examination based on the materials from two selected two-semester sequence courses taken by the students. A committee formed or selected by the Graduate Committee or the graduate program director is responsible for preparing and grading the written examinations. Each sequence that is selected for the candidacy examination must be approved by the dissertation adviser, the dissertation committee, and the graduate program director. Students in the Financial Mathematics Track will ordinarily select one of the sequences for their candidacy examination to be MAP 5641/MAP6642 Financial Mathematics I and II, and MAP5612/MAP6616 Computational Methods for Financial Mathematics I and II. The Candidacy Examination can be attempted after passing the qualifying examination. The Candidacy Examination must be completed within three years after passing the qualifying examination. A student must successfully pass the Candidacy Examination within at most two attempts.

Admission to Candidacy

  • The following are required to be admitted to candidacy and enroll in dissertation hours: Completion of all course work, except for dissertation hours. Successful completion of the candidacy examination. The dissertation advisory committee is formed, consisting of approved graduate faculty and graduate faculty scholars. Submittal of an approved program of study.

Dissertation Proposal Examination

  • After passing the candidacy examination, the student will prepare a dissertation proposal and orally present it to the dissertation advisory committee for approval. The proposal will include a description of the research performed to date and an agenda for the research planned to be completed for the dissertation. In addition to standards of correctness, indicating a suitable level of mastery of the material of the area of the dissertation, and suitability of the proposed dissertation topic, the presentation must meet current standards for professional presentations within the discipline of mathematics. For the successful completion of the Dissertation Proposal Examination, the presentation must be judged as passing the requirements for the examination by the majority of the dissertation committee. This exam must be passed within 18 months of passing the candidacy examination and not later than the end of the sixth year of graduate study. A candidate must pass this examination within at most two attempts.

Dissertation Defense

  • Upon completion of a student's research, the student's committee schedules an oral defense of the dissertation. Most students complete the program within five years after obtaining their bachelor's degree. Students are expected to complete the dissertation in no more than seven years from the date of admission to the program.

Independent Learning

  • The required 15 credit hours of dissertation will provide ample opportunities for students to gain the independent learning experience through studying published research papers and deriving, on their own, new and meaningful research results.

Grand Total Credits: 75

Application requirements, financial information.

Graduate students may receive financial assistance through fellowships, assistantships, tuition support, or loans. For more information, see the College of Graduate Studies Funding website, which describes the types of financial assistance available at UCF and provides general guidance in planning your graduate finances. The Financial Information section of the Graduate Catalog is another key resource.

Fellowship Information

Fellowships are awarded based on academic merit to highly qualified students. They are paid to students through the Office of Student Financial Assistance, based on instructions provided by the College of Graduate Studies. Fellowships are given to support a student's graduate study and do not have a work obligation. For more information, see UCF Graduate Fellowships, which includes descriptions of university fellowships and what you should do to be considered for a fellowship.

The department offers over 20 Graduate Teaching Assistantships every year on a competitive basis. A few Graduate Research Assistantships are also available for qualified students.

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» » » Prospective Doctoral Students

Can I study financial mathematics in the doctoral program?

Yes, we have previously had several theses on financial mathematics, written from an academic perspective.  Financial mathematics is one of many topics studied in the doctoral program.  However, students seeking a professional qualification in finance should also consider the .

 

Can I study applied mathematics in the doctoral program?

Theoretically, but such students would be better off in the .

 

I am applying in December to the doctoral program. Is it all right if I take the GRE on the November test date?

  Yes. Your GRE November test scores should become available by late December. You must file the rest of your online application on time, by the December deadline. Leave the GRE portion of the application blank (or enter your previous scores), but then update the application with your GRE scores immediately when you learn them. Also have an official score report sent to Columbia. If we receive the GRE scores by January 1, there should be no adverse consequences for your application.

 

Are both the GRE General Test and Mathematics Subject Test required for the application?

The GRE General Test is recommended, but not required. The GRE Mathematics Subject Test is required.* As above, you may apply prior to receiving the test results, provided you update your application immediately upon receiving the official scores. If we receive the GRE scores by January 1, there should be no adverse consequences for your application.

*Please Note: GRE Subject Exam scores are required of all applicants. However, in light of continued difficulties scheduling these exams, Fall 2024 applications without GRE Subject Exam scores will receive full consideration, provided all other application materials are received by the deadline.

 

Do you accept transfer students, and if so, do you accept transfer credits from their prior institutions?

  We welcome applications to the doctoral program from current graduate students. However, we treat them much the same as applications from current undergraduates. We want all Columbia doctoral students to take Columbia first-year courses and hence will not normally accept transfer credits. Rather, we would encourage students with a graduate record to choose from among our those which complement their prior study.


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Finance Requirements

I. preparation.

The study of financial economics requires a grasp of several types of basic mathematics. Students must enter with or very quickly acquire knowledge of the concepts and techniques of:

Topic Courses
Calculus
Linear Algebra
Statistics/Probability

It is strongly advised that students without a strong and recent background in calculus, linear algebra, or statistics come to Stanford in June to take courses to strengthen any weak areas.

Computer programming skills are necessary in coursework (as early as the first quarter of the first year) and in research. If students do not have adequate computer programming skills, they may wish to take a computer programming course before they arrive at Stanford, or take an appropriate Stanford computer science course while here.

II. Course Requirements

All required courses must be taken for a grade (not pass/fail or credit/no credit). Exceptions are made if the required course is offered pass/fail or credit/no credit only. Each course must be passed with a grade of P or B- or better. Substitutions of required courses require approval from the faculty liaison. Waiving a course requirement based on similar doctoral level course completed elsewhere requires the approval of the course instructor, faculty liaison, and the PhD Program Office.

Topic Courses
Economics
(3 courses)
Statistical Methods
(3 courses)
Finance Base Requirements
(5 courses)
Finance Specialization Requirements (2 Courses)

Students specialize in one of two tracks in finance research.

General Field Methods
(4 courses)

Students choose a minimum of two 2-course sequences from the alternative fields listed below. Courses may not be used to fulfill two general fields. In many cases, students interested in the field will want to take more than two of the suggested course in the field. 

*

III. Practicum

Students are required to sign up for either a research or teaching practicum each quarter of enrollment. Below is a description of the practicum requirements for Finance students.

During the student’s first year, the student will be assigned each quarter to work with a different faculty member. This assignment will involve mentoring and advising from the faculty member and RA work from the student. The purpose of new assignments each quarter is to give the student exposure to a number of different faculty members.

In subsequent years, the practicum will take the form of a research or teaching mentorship, where the student is expected to provide research or teaching support under the guidance and advice of a faculty member. Faculty assignments here will be made through informal discussions between faculty and students, and may be quarterly, or for the entire year.

For students of all years, one requirement to satisfy the practicum is that students regularly attend the Finance seminar. The only exception to this will be if there is a direct and unavoidable conflict between the seminar and necessary coursework.

IV. Summer Research Papers

All students in all years are expected to complete a research paper over the summer, and present this paper in the Fall quarter. A draft of this research paper should be submitted by the end of September to the field liaison. Students can continue to work on and improve their paper up to their presentation.

For students completing their first year, the summer paper should demonstrate the mastery of a specific area in the literature together with the early development of a research idea in this area. The student will be expected to present this paper to a gathering of three Finance faculty members of the student’s choosing in October.

In all years after the first year, the summer research paper should be a well-developed research paper. (Well-developed does not mean completed – research is always presented as work in progress. Rather, it means that the work shows enough progress and development to merit a seminar presentation.) Students will then present their papers to the overall Finance faculty and PhD student body in scheduled talks over the Fall quarter. Student presentations will typically be 45 minutes, save for job market paper presentations, which will be a full hour and a half.

A passing grade on the paper at the end of the second year is one requirement for admission to candidacy. More generally, these presentations throughout all years will be a primary manner that faculty who are not advising the student become familiar with the student’s work, and will play a crucial role in the assessment of the student’s academic progress.

V. Field Exam

Students take the field exam in the summer after the first year. Material from the field exam will be based on required first year coursework. This includes required finance courses, as well as the required microeconomic and econometric classes. The primary purpose of the exam is to ascertain that students have learned the introductory material that is a necessary foundation for understanding and undertaking research in the field. Additionally, studying for the field exam will give students the opportunity to review and synthesize material across all their different first year courses. Students may be asked to leave the program if they fail the field exam, or may be allowed to retake the exam at the Faculty’s discretion. Students who fail the field exam two times will be required to leave the program.

VI. Teaching Requirement

One quarter of course assistantship or teaching practicum. This requirement must be completed prior to graduation.

VII. Finance Oral Exam

The finance oral exam takes place at the end of the spring quarter of the second year, in early June.

At the beginning of the spring quarter of the second year, the student meets with the liaison to determine three finance faculty members who will administer the exam. The student then meets with the selected faculty examiners to discuss a set of topics that will be covered in the finance oral exam. These topics will generally be chosen from coverage in the Finance PhD classes. An important component of the exam involves the student identifying a particular research area to discuss at the exam. The student will be expected to discuss major results in the literature related to this area and to identify important unresolved questions that need to be addressed. In addition the student will be expected to discuss how one or more of these questions might be addressed either theoretically or empirically. This discussion can be viewed as a preliminary step towards identifying the research project of the second year paper. The results from the finance oral exam plus the result from the second-year summer research paper (presented in the fall of 3rd year) and overall performance in the program are weighed in the decision to admit to candidacy.

VIII. Candidacy

Admission to candidacy for the doctoral degree is a judgment by the faculty of the student’s potential to successfully complete the requirements of the degree program. Students are required to advance to candidacy by September 1 before the start of their fourth year in the program.

IX. University Oral Exam

The university oral examination is a defense of the dissertation work in progress. The student orally presents and defends the thesis work in progress at a stage when it is one-half to two-thirds complete. The oral examination committee tests the student on the theory and methodology underlying the research, the areas of application and portions of the major field to which the research is relevant, and the significance of the dissertation research. Students are required to successfully complete the oral exams by September 1 before the start of their fifth year in the program.

X. Doctoral Dissertation

The doctoral dissertation is expected to be an original contribution to scholarship or scientific knowledge, to exemplify the highest standards of the discipline, and to be of lasting value to the intellectual community. The Finance faculty defer to the student’s Dissertation Reading Committee to provide general guidelines (e.g., number of chapters, length of dissertation) on the dissertation.

Typical Timeline

Years one & two.

  • Field Requirements
  • Directed Reading & Research
  • Advancement to Candidacy
  • Formulation of Research Topic
  • Annual Evaluation
  • Continued Research

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Financial Mathematics in United States

Endor

5  Financial Mathematics PhDs in United States

Mississippi State University

Financial Economics The Financial Economics program at Northwestern University is offered jointly by the Department of Economics... Northwestern University Evanston, Illinois, United States

Financial Economics The purpose of the Ph.D. program in Financial Economics at Carnegie Mellon University is to educate... Carnegie Mellon University Pittsburgh, Pennsylvania, United States

Complex Systems and Data Science The pan-disciplinary Ph.D. in Complex Systems and Data Science is housed in the College of Engineering and... The University of Vermont Burlington, Vermont, United States

Science and Mathematics Education The Graduate Group in Science and Mathematics Education (known informally as SESAME) at University of... University of California, Berkeley Berkeley, California, United States

Study in United States

The United States is home to some of the most prestigious universities and colleges in the world. With over 150 universities featured in international rankings, the U.S. has some of the best business schools, medical schools, and engineering schools. Universities and colleges in the U.S. are well known for academic flexibility and ways to customize your study experience with optional studies and extracurricular activities. Depending on where you will be studying, you will be able to visit iconic places like the Statue of Liberty, Empire State Building, Goldengate Bridge, The Grand Canyon, Mount Rushmore, Disney's Magic Kingdom Park, and much more.

Is United States the right place for you?

Take the test and find out which country is your best fit.

Explore your Financial Mathematics degree

Financial Mathematics degrees prepare students for applying mathematical methods for solving problems in the field of Finance. Financial Math students use tools like Probability, Statistics, Stochastic Processes, and Economic Theory to predict and plan for the dynamics of financial markets. Graduate careers include investment banking, hedge funds, consulting, brokerage houses, and more.

Is Financial Mathematics the best for you?

Take the test and find out if Financial Mathematics is the right path for you.

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Financial Mathematics Graduate Programs in America

1-25 of 68 results

MIT Sloan School of Management

  • Cambridge, MA ·
  • Massachusetts Institute of Technology ·
  • Graduate School
  • · Rating 4.9 out of 5   10 reviews

Massachusetts Institute of Technology ,

Graduate School ,

CAMBRIDGE, MA ,

10 Niche users give it an average review of 4.9 stars.

Featured Review: Master's Student says I am an incoming MBA student to MIT Sloan. The application and enrollment process has been incredibly informative. I’ve been able to network with numerous current students and have worked on mapping... .

Read 10 reviews.

Princeton University

  • Princeton, NJ ·
  • · Rating 4.33 out of 5   3 reviews

PRINCETON, NJ ,

3 Niche users give it an average review of 4.3 stars.

Featured Review: Master's Student says The best part of the Princeton University mechanical engineering graduate degree is the excellent faculty that teach the courses. They are incredibly knowledgeable and also very willing to help... .

Read 3 reviews.

Owen Graduate School of Management

  • Nashville, TN ·
  • Vanderbilt University ·
  • · Rating 4.4 out of 5   5 reviews

Vanderbilt University ,

NASHVILLE, TN ,

5 Niche users give it an average review of 4.4 stars.

Featured Review: Master's Student says I attend my first semester in the fall of 2024. My experience so far has been amazing. I cannot wait until I start my experience. .

Read 5 reviews.

University of Dallas

  • Graduate School ·
  • · Rating 4.11 out of 5   9

Jack Welch College of Business and Technology

  • Sacred Heart University ·
  • FAIRFIELD, CT
  • · Rating 5 out of 5   3

Bentley University McCallum Graduate School of Business

  • WALTHAM, MA
  • · Rating 4.71 out of 5   21

Olin Business School

  • St. Louis, MO ·
  • Washington University in St. Louis ·
  • · Rating 4 out of 5   7 reviews

Washington University in St. Louis ,

ST. LOUIS, MO ,

7 Niche users give it an average review of 4 stars.

Featured Review: Master's Student says The enrolment process was an absolute pleasure. Being able to sit in on classes and interact with faculty and students was a fantastic opportunity. It gave me a real feel for the academic dynamic and... .

Read 7 reviews.

Chicago Booth School of Business

  • Chicago, IL ·
  • University of Chicago ·
  • · Rating 4.86 out of 5   14 reviews

University of Chicago ,

CHICAGO, IL ,

14 Niche users give it an average review of 4.9 stars.

Featured Review: Master's Student says My academic experience at the Chicago Booth Executive MBA program has been exceptionally enriching. The program's rigorous curriculum, combined with interactive class discussions and real-world case... .

Read 14 reviews.

Marshall School of Business

  • Los Angeles, CA ·
  • University of Southern California ·
  • · Rating 4.71 out of 5   17 reviews

University of Southern California ,

LOS ANGELES, CA ,

17 Niche users give it an average review of 4.7 stars.

Featured Review: Current Master's student says Marshall is a fantastic business program. So far, my academic experience has been nothing short of fantastic. I have never enjoyed school before, but almost every class I have learned new,... Marshall has clubs for almost every industry, so depending on your industry of interest, Marshall has clubs to prepare you for interviews and get you great exposure, and they're a great way to... Marshall is still relatively underrepresented in minority categories like women and people of color, but from my understanding, they are working to improve those numbers. .

Read 17 reviews.

  • Find college scholarships

Whiting School of Engineering

  • Baltimore, MD ·
  • Johns Hopkins University ·
  • · Rating 4.83 out of 5   12 reviews

Johns Hopkins University ,

BALTIMORE, MD ,

12 Niche users give it an average review of 4.8 stars.

Featured Review: Master's Student says Just starting now but the onboarding process is great! The student orientation was very helpful and the school has an amazing network. .

Read 12 reviews.

The Graduate School of Arts & Sciences - University of Virginia

  • Charlottesville, VA ·
  • University of Virginia ·
  • · Rating 4 out of 5   1 review

University of Virginia ,

CHARLOTTESVILLE, VA ,

1 Niche users give it an average review of 4 stars.

Featured Review: Alum says Very good in some areas, excellent in other areas, many academic choices available in all areas of study .

Read 1 reviews.

College of Sciences - Georgia Institute of Technology

  • Atlanta, GA ·
  • Georgia Institute of Technology ·
  • · Rating 5 out of 5   1 review

Georgia Institute of Technology ,

ATLANTA, GA ,

1 Niche users give it an average review of 5 stars.

Featured Review: Other says Georgia Tech is among the top colleges you can attend. My journey there had its highs and lows, but looking back, every experience contributed significantly to my growth. A piece of advice I'd offer... .

Haas School of Business

  • Berkeley, CA ·
  • University of California - Berkeley ·
  • · Rating 5 out of 5   3 reviews

Blue checkmark.

University of California - Berkeley ,

BERKELEY, CA ,

3 Niche users give it an average review of 5 stars.

Featured Review: Master's Student says I am a new EWMBA admit at Haas and so far the experience has been fantastic! It's a close-knit community of intellectual, humble, and talented working professionals. The entire team of program directors, admissions officers, etc. are SO willing to help! .

Tandon School of Engineering

  • Brooklyn, NY ·
  • New York University ·
  • · Rating 4.73 out of 5   15 reviews

New York University ,

BROOKLYN, NY ,

15 Niche users give it an average review of 4.7 stars.

Featured Review: Master's Student says As a bioinformatics master's student at the NYU Tandon School of Engineering, I've had the opportunity to explore the fascinating intersection of biology and computer science. The program has... The faculty at Tandon are experienced and supportive, and I've had the chance to collaborate with fellow students on exciting research projects. The interdisciplinary nature of bioinformatics has... Overall, my experience at NYU Tandon has been enriching, and I look forward to applying the knowledge and skills acquired during my master's program to contribute meaningfully to the field of... .

Read 15 reviews.

Leonard N. Stern School of Business

  • New York, NY ·
  • · Rating 4.82 out of 5   28 reviews

NEW YORK, NY ,

28 Niche users give it an average review of 4.8 stars.

Featured Review: Master's Student says As a part-time MBA candidate at NYU Stern, I'm deeply impressed by the program's blend of academic rigor and practical application. The faculty, industry leaders in their own right, provide... .

Read 28 reviews.

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  • Public Administration Graduate Programs

Carroll School of Management

  • Chestnut Hill, MA ·
  • Boston College ·
  • · Rating 5 out of 5   2 reviews

Boston College ,

CHESTNUT HILL, MA ,

2 Niche users give it an average review of 5 stars.

Featured Review: Master's Student says I am currently enrolled in the part time, professional evening MBA program. So far it has brought me to communicate with like minded individuals and the professors truly want to see you succeed so... .

Read 2 reviews.

College of Natural Sciences

  • Austin, TX ·
  • University of Texas - Austin ·

University of Texas - Austin ,

AUSTIN, TX ,

Questrom School of Business

  • Boston, MA ·
  • Boston University ·
  • · Rating 4.29 out of 5   7 reviews

Boston University ,

BOSTON, MA ,

7 Niche users give it an average review of 4.3 stars.

Featured Review: Master's Student says Boston University's MBA program transformed me. Faculty, experts in their fields, nurtured my learning. A diverse student body broadened my perspective. Experiential learning honed skills and... .

College of Liberal Arts & Sciences - University of Illinois

  • Urbana, IL ·
  • University of Illinois Urbana-Champaign ·

University of Illinois Urbana-Champaign ,

URBANA, IL ,

Lally School of Management

  • Rensselaer Polytechnic Institute ·

Rensselaer Polytechnic Institute ,

College of Arts and Sciences - University of Miami

  • Coral Gables, FL ·
  • University of Miami ·
  • · Rating 4.67 out of 5   6 reviews

University of Miami ,

CORAL GABLES, FL ,

6 Niche users give it an average review of 4.7 stars.

Featured Review: Master's Student says I am in graduate school and needed something online but also wanted something that was going to challenge me and provide me with a step further than my undergrad school provided. I compared many MPA... .

Read 6 reviews.

Dedman College of Humanities and Sciences

  • Dallas, TX ·
  • Southern Methodist University ·

Southern Methodist University ,

DALLAS, TX ,

Tulane University School of Science and Engineering

  • New Orleans, LA ·
  • Tulane University ·

Tulane University ,

NEW ORLEANS, LA ,

Featured Review: Master's Student says I am currently in the materials science and engineering 4+1 program which will allow me to earn my MS in one year instead of two. There are some really amazing professors here despite the department... .

Babson College

  • Babson Park, MA ·
  • · Rating 4.57 out of 5   14 reviews

BABSON PARK, MA ,

14 Niche users give it an average review of 4.6 stars.

Featured Review: Master's Student says So far my academic experience has been good at Babson college. The instructors are available and willing to go out of their way to answer any questions you have and make sure that you are comfortable... .

College of Science and Engineering - University of Minnesota Twin Cities

  • Minneapolis, MN ·
  • University of Minnesota Twin Cities ·
  • · Rating 4 out of 5   2 reviews

University of Minnesota Twin Cities ,

MINNEAPOLIS, MN ,

2 Niche users give it an average review of 4 stars.

Featured Review: Doctoral Student says I started graduate school at UMN during the height of the COVID pandemic. Despite not being able to go to classes in person or get into the lab, the UMN community has been very inclusive and I have... .

The Ohio State University College of Arts and Sciences

  • Columbus, OH ·
  • The Ohio State University ·

The Ohio State University ,

COLUMBUS, OH ,

Featured Review: Graduate Student says Not a bad place, good reputation but the College is cutting funds every year. Cutting funds within sociales sciences and humanities has been a problem that the college face every year. .

NC State College of Sciences

  • Raleigh, NC ·
  • North Carolina State University ·

North Carolina State University ,

RALEIGH, NC ,

Charles V. Schaefer, Jr. School of Engineering & Science

  • Hoboken, NJ ·
  • Stevens Institute of Technology ·

Stevens Institute of Technology ,

HOBOKEN, NJ ,

Illinois Institute of Technology

  • CHICAGO, IL
  • · Rating 4.38 out of 5   39

Lehigh University

  • BETHLEHEM, PA
  • · Rating 4.45 out of 5   22

University of North Texas

  • · Rating 4.6 out of 5   134

Showing results 1 through 25 of 68

Smart. Open. Grounded. Inventive. Read our Ideas Made to Matter.

Which program is right for you?

MIT Sloan Campus life

Through intellectual rigor and experiential learning, this full-time, two-year MBA program develops leaders who make a difference in the world.

A rigorous, hands-on program that prepares adaptive problem solvers for premier finance careers.

A 12-month program focused on applying the tools of modern data science, optimization and machine learning to solve real-world business problems.

Earn your MBA and SM in engineering with this transformative two-year program.

Combine an international MBA with a deep dive into management science. A special opportunity for partner and affiliate schools only.

A doctoral program that produces outstanding scholars who are leading in their fields of research.

Bring a business perspective to your technical and quantitative expertise with a bachelor’s degree in management, business analytics, or finance.

A joint program for mid-career professionals that integrates engineering and systems thinking. Earn your master’s degree in engineering and management.

An interdisciplinary program that combines engineering, management, and design, leading to a master’s degree in engineering and management.

Executive Programs

A full-time MBA program for mid-career leaders eager to dedicate one year of discovery for a lifetime of impact.

This 20-month MBA program equips experienced executives to enhance their impact on their organizations and the world.

Non-degree programs for senior executives and high-potential managers.

A non-degree, customizable program for mid-career professionals.

PhD Program in Finance

2023-24 curriculum outline.

The MIT Sloan Finance Group offers a doctoral program specialization in Finance for students interested in research careers in academic finance. The requirements of the program may be loosely divided into five categories: coursework, the Finance Seminar, the general examination, the research paper, and the dissertation. Attendance at the weekly Finance Seminar is mandatory in the second year and beyond and is encouraged in the first year.  During the first two years, students are engaged primarily in coursework, taking both required and elective courses in preparation for their general examination at the end of the second year.  Students are required to complete a research paper by the end of their fifth semester, present it in front of the faculty committee and receive a passing grade.  After that, students are required to find a formal thesis advisor and form a thesis committee by the end of their eighth semester. The Thesis Committee should consist of at least one tenured faculty from the MIT Sloan Finance Group.

Required Courses

The following set of required courses is designed to furnish each student with a sound and well-rounded understanding of the theoretical and empirical foundations of finance, as well as the tools necessary to make original contributions in each of these areas. Finance PhD courses (15.470, 15.471, 15.472, 15.473, 15.474) in which the student does not receive a grade of B or higher must be retaken.

First Year - Summer

Math Camp begins on the second Monday in August. 

First Year - Fall Semester

14.121/14.122 Micro Theory I/II

14.451/14.452 Macro Theory I/II ( strongly recommended)

14.380/14.381 — Statistics/Applied Econometrics

15.470 — Asset Pricing

First Year - Spring Semester

14.123/14.124 Micro Theory III/IV

14.453/14.454 Macro Theory III/IV (strongly recommended)

14.382 – Econometrics

15.471 – Corporate Finance

Second Year - Fall Semester

15.472 — Advanced Asset Pricing

  14.384 — Time-Series Analysis or  14.385 — Nonlinear Econometric Analysis  (Enrolled students receive a one-semester waiver from attending the Finance Seminar due to a scheduling conflict)

15.475 — Current Research in Financial Economics

Second Year - Spring Semester

15.473 — Advanced Corporate Finance

 15.474 — Current Topics in Finance (strongly encouraged to take multiple times)

15.475 — Current Research in Financial Economics

Recommended Elective Courses

Beyond these required courses, students are expected to enroll in elective courses determined by their primary area of interest. There are two informal “tracks” in Financial Economics: Corporate Finance and Asset Pricing. Recommended electives are designed to deepen the student's grasp of material that will be central to the writing of his/her dissertation. Students also have the opportunity to take courses at Harvard University. There is no formal requirement to select one track or another, and students are free to take any of the electives.

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PhD Profile for Mathematical Finance

Imperial College London Imperial College London

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Mathematical Finance

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  • Department of Mathematics

Maths Finance homepage

The  Mathematical Finance Section  of the  Department of Mathematics  at Imperial College London , is devoted to  research  on mathematical modeling and computational methods in finance. It is the largest research group in Mathematical Finance in the UK and is recognized as one of the world's leading research groups in this field.

Maths Finance homepage

Research conducted in the Mathematical Finance section focuses on the quantitative modeling of financial markets and mathematical tools and theories - probability, statistics, partial differential equations, optimization, simulation - which underpin this modeling process. Recent research efforts have also focused on issues relevant to industry and regulatory issues such as counterparty credit risk, funding valuation, collateral modeling, central clearing of over-the-counter (OTC) derivatives, liquidity risk management, collateral transformation, the impact of new regulations on risk, multiple-curve term structure models and novel, holistic approaches to the modeling of financial risks and systemic risk.

Our research is disseminated through the  Imperial College Mathematical Finance Working Paper Series .

Postgraduate Opportunities

The Mathematical Finance section offers PhD research opportunities , which trains highly skilled candidates towards research careers in academia and industry. PhD students are supported by public or private sources of funding and  work on a wide range of topics in stochastic analysis, mathematical modeling of finance and computational finance. Some PhD projects are carried out in collaboration with industry sponsors. We are a founding partner of the London Graduate School in Mathematical Finance which provides an array of research-oriented courses for PhD students at participating institutions.

The Mathematical Finance section also offers an  MSc , designed to prepare graduates with a prior training in mathematics, science or engineering for careers as quantitative analysts in the financial services industry.

Welcome to the Math PhD program at Harvard University and the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Learn more about Harvard’s Math community and our statement on diversity and inclusion.

The Harvard Griffin GSAS Office of Equity, Diversity, Inclusion & Belonging offers student affinity groups for graduate students and many other resources.

The Harvard University Office for Gender Equity has dedicated GSAS Title IX resource coordinators who work with and support graduate students.

open. The application deadline is December 15, 2021. -->

The application deadline for fall 2024 admission has passed. Applications for fall 2025 admission will open in September 2024.

For information on admissions and financial support, please visit the Harvard Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Harvard Griffin GSAS is committed to ensuring that our application fee does not create a financial obstacle. Applicants can determine eligibility for a fee waiver by completing a series of questions in the Application Fee section of the application. Once these questions have been answered, the application system will provide an immediate response regarding fee waiver eligibility.

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Discover more about postgraduate research

PhD Financial Mathematics / Overview

Year of entry: 2024

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The standard academic entry requirement for this PhD is an upper second-class (2:1) honours degree in a discipline directly relevant to the PhD (or international equivalent) OR any upper-second class (2:1) honours degree and a Master’s degree at merit in a discipline directly relevant to the PhD (or international equivalent).

Other combinations of qualifications and research or work experience may also be considered. Please contact the admissions team to check.

Full entry requirements

Apply online

In your application you’ll need to include:

  • The name of this programme
  • Your research project title (i.e. the advertised project name or proposed project name) or area of research
  • Your proposed supervisor’s name
  • If you already have funding or you wish to be considered for any of the available funding
  • A supporting statement (see 'Advice to Applicants for what to include)
  • Details of your previous university level study
  • Names and contact details of your two referees.

Programme options

Full-time Part-time Full-time distance learning Part-time distance learning
PhD Y Y N N

Programme description

Opportunities for PhD research are available in a range of Financial Mathematics research topics or Mathemathics research areas . For more information, please see advice on choosing a project or find out more about specific projects . Please contact the relevant individual members of staff for information about a specific project, or get in touch with the  Postgraduate Admissions Tutor .

Students may enter our graduate programme in Mathematical Finance by initially taking our taught M.Sc. course over 1 year. This, subject to satisfactory progress, can lead to admission to the PhD programme.

For entry in the academic year beginning September 2024, the tuition fees are as follows:

  • PhD (full-time) UK students (per annum): Band A £4,786; Band B £7,000; Band C £10,000; Band D £14,500; Band E £24,500 International, including EU, students (per annum): Band A £28,000; Band B £30,000; Band C £35,500; Band D £43,000; Band E £57,000
  • PhD (part-time) UK students (per annum): Band A £2393; Band B £3,500; Band C £5,000; Band D £7,250; Band E 12,250 International, including EU, students (per annum): Band A £14,000; Band B £15,000; Band C £17,750; Band D £21,500; Band E £28,500

Further information for EU students can be found on our dedicated EU page.

The programme fee will vary depending on the cost of running the project. Fees quoted are fully inclusive and, therefore, you will not be required to pay any additional bench fees or administration costs.

All fees for entry will be subject to yearly review and incremental rises per annum are also likely over the duration of the course for Home students (fees are typically fixed for International students, for the course duration at the year of entry). For general fees information please visit the postgraduate fees page .

Always contact the Admissions team if you are unsure which fees apply to your project.

Scholarships/sponsorships

There are a range of scholarships, studentships and awards at university, faculty and department level to support both UK and overseas postgraduate researchers.

To be considered for many of our scholarships, you’ll need to be nominated by your proposed supervisor. Therefore, we’d highly recommend you discuss potential sources of funding with your supervisor first, so they can advise on your suitability and make sure you meet nomination deadlines.

For more information about our scholarships, visit our funding page or use our funding database to search for scholarships, studentships and awards you may be eligible for.

Contact details

Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality.  Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .

Programmes in related subject areas

Use the links below to view lists of programmes in related subject areas.

  • Mathematics

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The University of Manchester is regulated by the Office for Students (OfS). The OfS aims to help students succeed in Higher Education by ensuring they receive excellent information and guidance, get high quality education that prepares them for the future and by protecting their interests. More information can be found at the OfS website .

You can find regulations and policies relating to student life at The University of Manchester, including our Degree Regulations and Complaints Procedure, on our regulations website .

phd in mathematical finance

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PhD in Mathematical Finance

I applied to a PhD program in Applied Mathematics, but was accepted to the PhD program in Mathematical Finance instead. It seems that one professor found my background in control theory and signal processing attractive.

The school I was accepted to is great, I'd be getting a decent amount of funding and my potential advisor seems to be a nice guy. However, I'm concerned about having the word "finance" in my degree. My fear is that it could pigeonhole me to academic positions in business schools after graduation (where most of the former students of my potential advisors have gone). My original goal was to become a professor in a math/engineering department or a researcher in a tech company after my PhD, and I doubt that a PhD in Mathematical Finance would help me to get that.

Does anybody knows where do people with PhDs in Mathematical Finance end up going?

  • mathematics

Rodrigo de Azevedo's user avatar

  • 1 Wherever they want. People are unlikely to turn you down for a job based solely on your degree title. If most of your PhD work is on control theory and signal processing, then your publications, CV and cover letter when applying for your desired jobs will make it clear that you're a good candidate. –  astronat supports the strike Commented Jan 3, 2021 at 8:47

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phd in mathematical finance

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    The Mathematical Finance section offers PhD research opportunities, which trains highly skilled candidates towards research careers in academia and industry. PhD students are supported by public or private sources of funding and work on a wide range of topics in stochastic analysis, mathematical modeling of finance and computational finance. ...

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  23. PhD in Mathematical Finance

    1. I applied to a PhD program in Applied Mathematics, but was accepted to the PhD program in Mathematical Finance instead. It seems that one professor found my background in control theory and signal processing attractive. The school I was accepted to is great, I'd be getting a decent amount of funding and my potential advisor seems to be a ...