deepapaikar/SC_Katz_5k huggingface dataset:
Internships and STEM-OPT 
Gain industry experience in major companies, startups and the YU Innovation Lab through internships in the financial capital of the world -- New York -- that count toward your degree.
Read more on the curriculum page or speak with an adviser.
Yeshiva University's master's in mathematics is a STEM-approved degree.
International students may be eligible for up to 36 months of Optional Practical Training (OPT).
The program also offers several opportunities for Curricular Practical Training (CPT).
At a Glance
30-credit Master of Arts

Full-time or part-time

On campus in New York City

Evening courses so that you can work full-time while completing your degree

Leading industry expert faculty

Small classes where you ll get the attention you deserve
PhD in mathematics
The Ph.D. in Mathematical Sciences at Yeshiva University emphasizes the many facets of complex systems, with the latter taking abstract or concrete forms such as financial markets, biological systems, quantum materials, meta-materials, fluids, plasmas, networks and big data.
The tools of analysis pursued and developed by department faculty include topological, geometrical and functional analysis; optimization theory; complexity theory; partial differential equations of elliptic, hyperbolic and mixed type; noncommutative geometry; operator algebras; risk theory; and ergodic theory.
The Ph.D. program offers three tracks: 

Track I: Three years of study for students who enter with 60 credits of graduate coursework 
Track II: Four years of study for students who enter with 30 credits of graduate coursework 
Track III: Five years of study for students who enter with no previous graduate coursework 
A Ph.D. in mathematics is the first step to a job in materials science, dynamical systems, complex systems, and more.
Students graduating from our Ph.D. program are prepared to pursue mathematics at the highest levels, as research mathematicians, university professors or applied mathematicians in business, industry or government.
YU has an exceptional tradition and legacy in mathematical physics and an impressive track record of training research mathematicians.
Famous alumni include Hillel Furstenberg (Abel Prize in Mathematics 2020), Benjamin Weiss, Michael Aizenman and Charles Peskin.
We also leverage our excellent locations in midtown and uptown Manhattan to provide our students with internships, to build connections, and to land competitive jobs within and outside of academia.
According to the U.S. Bureau of Labor Statistics, median salaries as of 2019 for jobs with a Ph.D. were: actuary ($108,350); postsecondary education administrator ($95,410); mathematician and statistician ($92,030); operations research analyst ($84,810); and postsecondary mathematics and science teacher ($73,690).
Generous scholarships and financial aid are available for a limited time.
Come to New York City to study and network with the best.
Apply now!
Program Highlights
Solid and rigorous foundations built with real-world applications in mind

Guided journeys from abstract to concrete and from general to ultra-specialized mathematics

Hands-on experience with modern tools of analysis, including numerical techniques and software training

Immersive research experiences supported by external funding

Internships and STEM-OPT
Gain industry experience in major companies, startups and the YU Innovation Lab through internships in the financial capital of the world “ New York “ that count toward your degree.
Read more on the curriculum page or speak with an adviser.
Yeshiva University's Ph.D. in mathematics is a STEM-approved degree.
At a Glance
66-credit doctorate (36 credits above master s)

Full-time or part-time

On-campus in New York City

Evening courses so that you can work full-time while completing your degree


Nationally and internationally recognized faculty

Small classes where you ll get the attention you deserve
Overview
Our Ph.D. program, based in New York City, follows an apprenticeship model, in which students work on a research project over multiple semesters under the close guidance of a mentor.Because we are a small Ph.D. program, we can pay maximum attention to all our students.
Course of Study
Track I (three-year course of study): 

Sample course of study for a student who enters with 60 credit-hours of graduate course work: 

Advanced Qualifying Examination is taken
MAT 705, repeated six times over three years
Track II (four-year course of study): 

Sample course of study for a student who enters with an M.A.
in Mathematics from Yeshiva University (30 credits): 

First Year:

First semester: 9 credits of special topics
Second semester: 9 credits of special topics
Advanced Qualifying Examination is taken
Second, Third and Fourth Years: 

MAT 705 is taken for six semesters
Track III (five-year course of study): 

Sample course of study for a student who enters the program with a B.A.
in Mathematics: 

First Year: 

M.A.
course work (15 credits per semester)
Basic Qualifying Examination is taken, and Master of Arts is awarded
Second Year:

First semester: 9 credits of special topics
Second semester: 9 credits of special topics
Advanced Qualifying Examination is taken
Third, Fourth and Fifth Years: 

MAT 705 is taken for six semesters

Mathematical Sciences, PhD
Except as noted, all courses are 3 credits.
With the exception of Topics courses and
Problem seminars, the first semester of any two-semester course will comprise a survey
of the important topics in the course.
The second semester, offered only upon sufficient
student demand, will consist of a deeper treatment of topics covered in the first
semester.
Elementary Theory of Numbers
MAT 5115
Divisibility, congruence, quadratic reciprocity, elementary results in quadratic forms,
diophantine equations, and rational approximation to irrationals.
Applications to
cryptology and data security.
Linear Algebra
MAT 5117
Vector spaces, basis, dimension, direct sums, factor spaces; linear transformations,
functionals, dual spaces, matrices, determinants; systems of linear equations;
diagonalization, normal and canonical forms, elementary divisors; bilinear and quadratic
forms; inner products, euclidean and unitary space, orthogonal and symmetric matrices;
tensors and exterior algebra.
Applications to Markov chains and linear regression.
Introduction to Analysis
MAT 5118
A survey of analytic methods which are of practical significance for applications, as well
as the mathematical foundations, contexts, and limitations of those methods.
Functions of a Complex Variable
MAT 5127
Integration and differentiation in the complex domain.
Cauchy's Theorem, Cauchy
Integral Formula, Laurent expansion, residues.
Elements of conformal mapping, special
functions, series and product representations.
Problem Seminar
MAT 5200, 5201
Students are trained in applying their knowledge in various areas to the solution of
specific problems arising in industrial and technological applications of mathematics:
operations management, risk theory, shock wave theory, atomic force microscopy,
materials science.
Ordinary Differential Equations
MAT 5209
Differential and integral equations in the real domain; existence and stability theory,
Sturm-Liouville problem for linear equations, techniques of solution for special classes.
Differential and integral equations in the complex domain; equations of Fuchsian type
and special functions; transform methods.
Transition to chaos.
Partial Differential Equations I, II, III
MAT 5210, 5211, 5215
Introduction to the theory of partial differential equations of second order.
Problem of
Cauchy, boundary value problems of potential theory, variational principles.
Equations
of mixed type.
Applications to finance, geometry, plasma, and gas dynamics.
Functional Analysis I, II
MAT 5230, 5231
Banach and Hilbert spaces, linear functionals, Hahn-Banach theorem, dual spaces,
linear operators, closed graph theorem, Riesz theory for compact operators, spectral
theory.
Algebra
MAT 5253
Sets, Boolean algebra, cardinal numbers.
Groups, rings and ideals, integral domains,
fields, algebraic number fields, Galois theory, combinatorics.
Diverse applications to
computer science.
Topics in Probability Theory I, II
MAT 5256, 5257
Probability and risk measures.
Applications to financial decision-making, operations
management, and the theory of gambling.
Random walks, Brownian motion, fractional
Brownian motion , white noise processes, Markov chains, Markov processes, time
series, convexity methods.
Nonperiodic cycles and processes with memory.
Topics in Geometry
MAT 5258
Synthetic geometry.
Projective spaces.
Elements of algebraic geometry.
Applications
are chosen from computer graphics, finite-element analysis, geometrical optics, and the
theory of caustics.
Differential and Riemannian Geometry I, II
MAT 5259, 5260
Classical differential geometry of curves and surfaces in space.
Intrinsic geometry on a
surface.
Tensor calculus with applications to geometry in n dimensions.
Elements of
geometric analysis (harmonic maps).
Applications to special and general relativity.
Topics in Modern Differential Geometry
MAT 5261
Definition and elementary properties of Lie groups and Lie algebras; vector bundles and
connections.
Morse theory.
Elements of Hodge theory.
Applications to high-energy
physics and gauge-field theory.
Topology I, II
MAT 5262, 5263
A rigorous introductory treatment of point-set topology, differential topology, homotopy
and homology.
Functions of a Real Variable
MAT 5265
Fundamentals of real analysis and applications.
Lebesgue measure and integral.
Integrals on sigma algebras.
Probability measures.
Introduction to Hilbert spaces and
LP-spaces.
Applications to Fourier series and to Fourier and more general transforms.
Mathematical Statistics
MAT 5266
Development of statistical models as corollaries of theorems in probability, and a
rigorous presentation of topics related to the practice of statistics and data analysis.
Convex Optimization
MAT 5267
Convex analysis in finite dimensions; linear programming; convex optimization with
constraints; vector (multi-criteria) optimization problems from theoretical and
computational perspectives.
Applications to finance and economics, including convex
risk measures, portfolio optimization and utility maximization problems.
Data Science: Fundamentals and Applications
MAT 5270
Statistical and computational fundamentals that form the basis for contemporary data
science applications in biomedical science, finance and other cognate 'big data'
disciplines are introduced.
Core components include data exploration, data modeling,
the use of data mining technologies and application examples.
Course material will be
complemented by hands-on programming experience, using the iPython programming
environment, to allow the class to gain a hands-on experience of data science analytics.
Applied Data Science: Contexts and Methodologies
MAT 5272
Examination of exemplar data science publications from the domains of biomedical
science, quantitative finance, geoscience and the astronomical sciences.
Topics and Problems in Analysis
MAT 5301, 5302
Techniques of problem-solving and estimation, and related concepts in real and
complex analysis.
An introduction to working analysis in distinction to theoretical
analysis.
Financial and engineering applications are emphasized.
Topics in Partial Differential Equations I, II
MAT 5310, 5311
General theory of linear partial differential equations.
Semilinear, quasilinear, and fully
nonlinear equations.
Variational theory.
Cauchy and boundary value problems,
Estimates and regularity of solutions.
Topics will be chosen from contemporary
application to geometry, finance, continuum mechanics, plasma physics, and
engineering.
Mathematical Logic and Computability Theory
MAT 5312
Boolean logics, truth functions, quantification theory, Turing machines.
Horn algebras,
lattices, quasivarities.
Applications to computer science and, in particular, artificial
intelligence.
Readings in Mathematical Logic
MAT 5315
Topics to be arranged, depending on the interests and backgrounds of the students.
Given only by arrangement with the instructor.
Readings in Linear/Modern Algebra
MAT 5317
Topics to be arranged, depending on the interests and backgrounds of the students.
Given only by arrangement with the instructor.
Complex Systems
MAT 5320
Nonlinear and fractal time series; computational methods; applications include
econophysics, fractal statistics, and neural physics.
Topics in Functional Analysis
MAT 5330, 5331
Hilbert and Banach spaces, operator theory.
Applications.
Fourier Analysis
MAT 5365
Fourier integrals.
Applications to signal processing, imaging science, time series
analysis, and the theory of waves.
Graduate Seminar
MAT 5931, 5932
Faculty-supervised reading/research on a topic in contemporary mathematics.
Readings in Analysis
MAT 6401, 6402

Reading course for doctoral students..Variable credit.
Readings in Algebra/Geometry
MAT 6431, 6432

Reading course for doctoral students.Variable credit.
Readings in Mathematics
MAT 6451, 6452

Reading course for doctoral students..Variable credit.
Thesis Preparation
MAT 7705

Prerequisite: a grade of Pass on the Advanced Qualifying Examination..Variable credit.
YESHIVA UNIVERSITY
GRADUATE PROGRAM IN MATHEMATICAL SCIENCES
TOPICS FOR THE PHD QUALIFYING EXAMINATION
The qualifying examination in mathematical sciences covers three areas:
(I) Real Analysis
(II) Complex Analysis
(III) Research Area
For the first two areas, a list of topics is below.
Also, a list of sample exercises
for the two areas is provided.
The actual exercises asked on the exam will be
different from the sample exercises; being able to solve the sample exercises is
not sufficient for the exam preparation.
The third exam area pertains to the research subject that the student intends
to undertake, and should be established between the student and the student s
adviser.
The student shall request and be provided with a list of topics on the
research area and a bibliography from the faculty adviser, in order to prepare
for this part of the qualifying examination.
The examination is oral and is usually administered by the candidate's advisory committee.
The examination on the first two areas is usually administered
together, and the examination on the third area is in usually administered separately.
The possible grades on the examination are Pass and Fail.
The qualifying
examination may be retaken once.
A second failure will result in dismissal from
the program.
Welcome to Yeshiva University Residence Life!
To apply for on-campus housing for the 2023-2024 academic year, please log into the Yeshiva University Housing Portal with your YU username and password.
For further questions or help with your application, please email wilfreslife@yu.edu.
Please note, the housing application closed on Tuesday, May 16, 2023.
Requirement

The university policy requires all new students to reside in university housing for their first 2 semesters on campus.
This policy is designed to help the new students to engage with the YU community and the supportive resources on campus.
If after your first 2 semesters, you decide not to live in university housing, please exercise discretion when selecting your apartment and roommates.
The university will not monitor or bear any responsibility for any non-university housing.
Eligibility

To qualify for university housing on the Wilf Campus, you must:

Be enrolled in one of the Jewish studies divisions and enrolled for at least 12 credits each semester in either Yeshiva College or Sy Syms School of Business.
Or be a full-time Rabbi Isaac Elchanan Theological Seminary (RIETS) student.
Semicha students are eligible to live in University Housing until the conclusion of the four years of residency at RIETS.
Summer semesters do not count against this requirement.
Agree to live in accordance with halachic [Jewish law] norms and Torah ideals and allow common sense, good judgment, and courtesy to govern your actions at all times.
Housing Timeline:

Wednesday, April 26, 2023: Housing application opens

Tuesday, May 16, 2023: Housing application closes

Friday, July 7, 2023: Building assignments distributed 

Friday, July 21, 2023: Acceptance/Denial of building assignment is due

Monday, August 7, 2023: Last day to cancel a housing reservation for a 100% refund except for $300 deposit.
Tuesday, August 22 & Wednesday, August 23, 2023 : Move-in for new students

Wednesday, August 23, 2023: Orientation for new students

Sunday, August 27, 2023: Move-in for returning students

Monday, August 28, 2023: First day of classes

Wednesday, September 13, 2023: Last day to withdraw with 75% refund

Wednesday, September 20, 2023: Last day to withdraw with 50% refund

Wednesday, September 27, 2023: Last day to withdraw with 25% refund

Move In
Before you arrive on campus, please make sure you have:

 ˘ Made your financial arrangements with the Office of Student Finance
 ˘ Sent your MMR/meningitis immunization form to yuhealthcenter@yu.edu
 ˘ Sent an ID photo to yucardpix@yu.edu

You will be given your room assignment when you arrive on campus.
YU ID Card

Your YU ID Card is used to gain access to all YU buildings and YU shuttles, serves as your dining card for on and off campus purchases, and functions as your library card.
Please email a photo of yourself to be used to prepare your ID in advance of your arrival using the following guidelines:

Picture should be a front facing picture of you alone and should be taken from the chest up.
No hats, bandanas or dark sunglasses.
The picture should be taken in front of a solid color background.
Smiling is encouraged.
Please send your JPEG formatted picture (most smartphones send JPEG) to yucardpix@yu.edu.
Be sure to include your legal name, your YU ID number (800XXXXXX), and the school you are enrolled in (Stern College for Women, Sy Syms School of Business, Yeshiva College, or Katz School).
When you arrive on campus, you will need to present a driver's license or other photo identification to retrieve your ID.
We look forward to welcoming you to campus!
The Wilf Campus has three residence halls: Morgenstern Hall, Muss Hall, and Rubin Hall.
Each has a unique atmosphere and set of amenities.
Scroll through the sidebar to decide which residence hall is right for you.
Application Schedule 2023-2024
Keep track of important dates and deadlines for the housing application, move in, and refunds for the 2023-2024 academic year.
Resident Advisors
Your resident advisor ” RA ” will ease your transition to college life.
With his door often open, he is your first resource for answering questions, making referrals, and resolving issues.
He'll be able to offer tips on everything from study habits to subway directions, from campus activities to restaurant suggestions.
Get to know your RA

University Meal Plan Info
All students living on campus are required to enroll in a meal plan each semester.
Meal plans allow students to use their dining cards in the various on campus cafeterias.
Students may add funds at any time.
To learn more about dining, check out Dining Services or, to see the financial breakdown, visit Student Finance.
Student Organization Information
Using YU Marks and Creating Club Logos
These guidelines are intended to protect and control the use of the University's logos and marks.
While the University is proud to identify its student organizations and clubs as valued members of our community, it must be clear to the University community and to the public at large what is part of the University, which goods/services originate from the University, and which do not.
Council Logos and Promotion Guidelines
Give credit where credit is due and use the relevant council logos on your event flyers.
There are also promotion guidelines for events that are co-sponsored by outside organizations.
Please note: University policy is to generally not permit recording of student club events due to privacy and other considerations.
The Beren Campus Student Government (BCSG), serves the entire student body at the Yeshiva University Beren Campus.
The BCSG offers a wide variety of events in order to cater to the diverse interests on campus.
There are over 150 clubs, ranging from the Psychology Club to the Cookies for Kindness, from the Bowling Society to the Environmental Club, and everything in between.
While the clubs coordinate student run programs, the BCSG also strives to unite the Beren Campus and build a community.
The BCSG is the voice of the students, creating and developing events and projects for which there is an interest.
If what you are looking for does not exist, create it!
Take advantage of all of the incredible opportunities here and get involved!
The Yeshiva Student Union ("YSU") is the presiding body of student government, representing every student at Yeshiva University.
The YSU board plans and implements school-wide events and promotes and enables club activities.
The YSU board members serve as advocates for the entire undergraduate student body.
In a university with a diverse student body, the YSU board aims to serve all groups within Yeshiva University fairly.
In addition, the YSU board serves the various other boards on campus, maintaining open lines of communication and encouraging cooperation within the Student Council.
The YSU board, along with the Student Council, acts as a liaison to the university administration.
The goal of YSU is to infuse the Yeshiva University experience with enthusiasm and excitement, creating a vibrant and fun environment for all students.
Student Organization of Yeshiva, also known as SOY, focuses on fulfilling the religious needs of Yeshiva University's Wilf Campus Students.
SOY is determined to fulfill its mission to create a comfortable Jewish environment, filled with Torah learning and religious life on campus, as well as to serve the greater YU community and support Torah and religiously oriented activities.
As representatives of a diverse student body - whether it's the Mechina program, the IBC program, the SBMP program, the MYP program or RIETS - it is our goal to create a unified atmosphere of Torah and Jewish identity on campus.
SOY's goal is to facilitate each student's opportunity to maximize his own unique religious experience.
At the end of the day, the Yeshiva College/ Sy Syms School of Business Student body can rely on SOY to create the religious, educational and experiential opportunities that they hope to experience while attending Yeshiva University.
The Yeshiva College Student Association (YCSA) represents the students of Yeshiva College.
It aims to maximize the potential of each student by enhancing their experience at Yeshiva College and the Yeshiva University Community.
YCSA coordinates and encourages all student activities within the scope of Yeshiva College, providing for the promotion of students' interests.
YCSA oversees more than thirty clubs, ranging from the Economics Club to the Physics Club, from the student publication The Clarion to the Student Holocaust Education Movement.
Furthermore, YCSA works closely with the Yeshiva Student Union, Student Organization of Yeshiva and Syms School of Business Student Council on the Wilf campus, as well as SCWSC on the Beren campus, creating, planning and implementing university-wide events for all students to enjoy.
Additionally, YCSA provides a voice for the students, working closely with the administration in all matters affecting the welfare of the student body.
We encourage all students to take advantage of the incredible opportunities that Yeshiva College presents and to get involved in the various aspects of student life.
The Sy Syms School of Business Student Council is dedicated to promoting and representing the interests of the Sy Syms student body.
By implementing a wide range of academic and social activities, the council seeks to aid in the development of future business leaders as well as to provide students with the opportunity to network and develop professional relationships.
The Student Council facilitates student involvement through workshops/clubs, speakers, networking opportunities and site visits.
The council works with administration, faculty, staff and school committees to ensure that students feel free to express their ideas, interests and suggestions.