Ph.D. in Mathematics Making the World Smarter, Safer and Healthier Request More Info Attend an Info Session Contact Us Artificial Intelligence Biotechnology Computer Science Cybersecurity Data Analytics and Visualization Digital Marketing and Media Mathematics Occupational Therapy Physician Assistant Physics Speech-Language Pathology Eligible for STEM-OPT Learn from Leading Research Faculty QS Rankings #63 University in the U.S. Forbes Top 50 in Research in U.S. Universities Ph.D. in Mathematical Sciences66-credit doctorate (36 credits above master’s) I On-Campus in New York City I Full-Time or Part-TimeThe Ph.D. in Mathematical Sciences at Â鶹´«Ă˝Ół» offers training and research opportunities in traditional areas of mathematics as well as in interdisciplinary applications of mathematics. Students in the program can specialize in (i) pure and applied mathematics, or (ii) computational science. Faculty research include areas such as dynamical systems, celestial mechanics, dynamical astronomy and astrophysics, partial differential equations, geometric analysis, algebra, combinatorics, mathematical physics, network science, operator theory, spectral analysis, quantum field theory, mathematics of finance, computational topology, biostatistics, machine learning, computer vision, manifold learning. Students graduating from our Ph.D. program are prepared to pursue mathematics at the highest levels, in colleges and universities, government, healthcare, research and development. 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 Besides coursework, students are required to pass a qualifying exam and to complete a doctoral thesis on original research.Â鶹´«Ă˝Ół» 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 access to many seminars and conferences in the New York metropolitan area, to facilitate internships with major companies, and to develop connections and land in competitive jobs within or outside of academia. According to the U.S. Bureau of Labor Statistics, the annual wage as of 2022 for jobs in mathematics: actuary ($113,990); postsecondary education administrator ($99,940); mathematician and statistician ($99.960); operations research analyst ($85,720); and postsecondary mathematics and science teacher ($80,840).Various scholarships and financial aid are available. A limited number of teaching and research assistantships, which include a tuition waiver and a stipend, are available on a competitive basis. Program Highlights Exciting research projects such as on the fractional Laplacian, chaos theory, energy harvesting, solar system and galactic dynamics, black holes, big-bang singularity, financial bubbles, topological insulators. Engagement in research leading to publications in peer-review journals and participation in national and international conferences. Building a robust theoretical foundation, proficiency in applying mathematics to real-world problems, and mastery of computational abilities. Opportunities to develop pedagogical skills through teaching courses, recitations, and computer labs. External funding opportunities through the NSF, NIH, NASA, Simons Foundation, Sloan Foundation, Keck Foundation, and other funding agencies. Students can take graduate courses at the CUNY-Graduate Center through a cooperation agreement. Full Program Breakdown Ph.D. in Mathematical Sciences66-credit doctorate (36 credits above master’s) I On-Campus in New York City I Full-Time or Part-TimeThe Ph.D. in Mathematical Sciences at Â鶹´«Ă˝Ół» offers training and research opportunities in traditional areas of mathematics as well as in interdisciplinary applications of mathematics. Students in the program can specialize in (i) pure and applied mathematics, or (ii) computational science. Faculty research include areas such as dynamical systems, celestial mechanics, dynamical astronomy and astrophysics, partial differential equations, geometric analysis, algebra, combinatorics, mathematical physics, network science, operator theory, spectral analysis, quantum field theory, mathematics of finance, computational topology, biostatistics, machine learning, computer vision, manifold learning. Students graduating from our Ph.D. program are prepared to pursue mathematics at the highest levels, in colleges and universities, government, healthcare, research and development. 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 Besides coursework, students are required to pass a qualifying exam and to complete a doctoral thesis on original research.Â鶹´«Ă˝Ół» 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 access to many seminars and conferences in the New York metropolitan area, to facilitate internships with major companies, and to develop connections and land in competitive jobs within or outside of academia. According to the U.S. Bureau of Labor Statistics, the annual wage as of 2022 for jobs in mathematics: actuary ($113,990); postsecondary education administrator ($99,940); mathematician and statistician ($99.960); operations research analyst ($85,720); and postsecondary mathematics and science teacher ($80,840).Various scholarships and financial aid are available. A limited number of teaching and research assistantships, which include a tuition waiver and a stipend, are available on a competitive basis. Program Highlights Exciting research projects such as on the fractional Laplacian, chaos theory, energy harvesting, solar system and galactic dynamics, black holes, big-bang singularity, financial bubbles, topological insulators. Engagement in research leading to publications in peer-review journals and participation in national and international conferences. Building a robust theoretical foundation, proficiency in applying mathematics to real-world problems, and mastery of computational abilities. Opportunities to develop pedagogical skills through teaching courses, recitations, and computer labs. External funding opportunities through the NSF, NIH, NASA, Simons Foundation, Sloan Foundation, Keck Foundation, and other funding agencies. Students can take graduate courses at the CUNY-Graduate Center through a cooperation agreement. Swipe to learn more! Ph.D. in Mathematical Sciences66-credit doctorate (36 credits above master’s) I On-Campus in New York City I Full-Time or Part-TimeThe Ph.D. in Mathematical Sciences at Â鶹´«Ă˝Ół» offers training and research opportunities in traditional areas of mathematics as well as in interdisciplinary applications of mathematics. Students in the program can specialize in (i) pure and applied mathematics, or (ii) computational science. Faculty research include areas such as dynamical systems, celestial mechanics, dynamical astronomy and astrophysics, partial differential equations, geometric analysis, algebra, combinatorics, mathematical physics, network science, operator theory, spectral analysis, quantum field theory, mathematics of finance, computational topology, biostatistics, machine learning, computer vision, manifold learning. Students graduating from our Ph.D. program are prepared to pursue mathematics at the highest levels, in colleges and universities, government, healthcare, research and development. 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 Besides coursework, students are required to pass a qualifying exam and to complete a doctoral thesis on original research.Â鶹´«Ă˝Ół» 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 access to many seminars and conferences in the New York metropolitan area, to facilitate internships with major companies, and to develop connections and land in competitive jobs within or outside of academia. According to the U.S. Bureau of Labor Statistics, the annual wage as of 2022 for jobs in mathematics: actuary ($113,990); postsecondary education administrator ($99,940); mathematician and statistician ($99.960); operations research analyst ($85,720); and postsecondary mathematics and science teacher ($80,840).Various scholarships and financial aid are available. A limited number of teaching and research assistantships, which include a tuition waiver and a stipend, are available on a competitive basis. Exciting research projects such as on the fractional Laplacian, chaos theory, energy harvesting, solar system and galactic dynamics, black holes, big-bang singularity, financial bubbles, topological insulators. Engagement in research leading to publications in peer-review journals and participation in national and international conferences. Building a robust theoretical foundation, proficiency in applying mathematics to real-world problems, and mastery of computational abilities. Opportunities to develop pedagogical skills through teaching courses, recitations, and computer labs. External funding opportunities through the NSF, NIH, NASA, Simons Foundation, Sloan Foundation, Keck Foundation, and other funding agencies. Students can take graduate courses at the CUNY-Graduate Center through a cooperation agreement. Internships and STEM-OPT Gain industry experience in major companies, startups and the Â鶹´«Ă˝Ół» 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. Â鶹´«Ă˝Ół»'s Ph.D. 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). Interested in this program? Apply Now! Program Links Curriculum Faculty Research Student Life Mission and Goals Learn More Admissions & Financial Aid Graduate Admissions katzgrad@yu.edu 646-592-4753 General Inquiries katz@yu.edu Join our Community Knowledge Requirements Successful incoming students to the Ph.D. program have mathematical skills, which is often demonstrated by a master's degree and a strong master's thesis. Exceptional students may be admitted to the program without a master's degree and can earn an M.A. degree in mathematics while pursuing their Ph.D. studies. Those applicants must meet admissions requirements for both the M.A. and Ph.D. programs. Most of our students have an undergraduate degree or other experience in economics, mathematics, computer science, physics, chemistry, engineering and similar quantitative majors. Some students also come from finance and behavioral sciences so long as they’ve taken several mathematics courses. The faculty believe it's academically important to include students from a variety of different backgrounds and with a diverse set of experiences. Prerequisites include one course in multivariate calculus (Calculus 3), one course in linear algebra and one course in statistics/probability with a grade of B or better. Application Information Visit Graduate Admissions for up-to-date application requirements and deadlines. Questions?  if you have questions about your qualifications, financial aid opportunities and financing your graduate degree. We can do a preliminary transcript review and discuss your admissions and financing options with the Katz School.  Tuition, Financial Aid and Scholarships The Office of Student Finance maintains current tuition and fees for all graduate programs. All applicants are automatically considered for the program. You do not need to submit any additional information. Learn More Graduate Admissions katzgrad@yu.edu 646-592-4753 General Inquiries katz@yu.edu Join our Community Admissions & Financial Aid Knowledge Requirements Successful incoming students to the Ph.D. program have mathematical skills, which is often demonstrated by a master's degree and a strong master's thesis. Exceptional students may be admitted to the program without a master's degree and can earn an M.A. degree in mathematics while pursuing their Ph.D. studies. Those applicants must meet admissions requirements for both the M.A. and Ph.D. programs. Most of our students have an undergraduate degree or other experience in economics, mathematics, computer science, physics, chemistry, engineering and similar quantitative majors. Some students also come from finance and behavioral sciences so long as they’ve taken several mathematics courses. The faculty believe it's academically important to include students from a variety of different backgrounds and with a diverse set of experiences. Prerequisites include one course in multivariate calculus (Calculus 3), one course in linear algebra and one course in statistics/probability with a grade of B or better. Application Information Visit Graduate Admissions for up-to-date application requirements and deadlines. Questions?  if you have questions about your qualifications, financial aid opportunities and financing your graduate degree. We can do a preliminary transcript review and discuss your admissions and financing options with the Katz School.  Tuition, Financial Aid and Scholarships The Office of Student Finance maintains current tuition and fees for all graduate programs. All applicants are automatically considered for the program. You do not need to submit any additional information. Meet our Faculty Advancing understanding of dynamical systems for sustainable energy and space science. Learn more about Dr. Gidea's work in the Complex Systems Lab.— Dr. Marian Gidea, Professor and Director, Graduate Programs in Mathematical Sciences Meet our Students Current PhD Students Atreish RamlakhanClaudia Maria Schmidt Te Li Irit TzemahEliyahou AmsellemLiteshwar RaoEllie AustinSamuel AkingbadeBo TongMatthew FriedAaron ShulmanAriella MermelsteinAshikur NobelLakshmikar Reddy PolamreddyDachao SunIan ChigadaFnu Paryukti Brief expository on Hamiltonian systems. — Dr. Samuel Akingbade '24 Program News Welcome to Mathematics at Â鶹´«Ă˝Ół» M.A. and Ph.D. programs on-campus in New York City. Welcome to Mathematics at Â鶹´«Ă˝Ół» Study Finds Planets Can Be Trapped in Sun's Orbit Read more about Edward Belbruno's study Study Finds Planets Can Be Trapped in Sun's Orbit Objects from interstellar space, such as rogue planets and asteroids, can become permanently trapped in the Sun’s orbit as a result of the combined gravitational effects of the Sun and the entire Milky Way galaxy, according to a study by researchers in the Katz School’s Mathematical Sciences program and at NASA.Read the story in the Katz School blog. NSF Grant to Fund Study of Energy Harvesting Devices Read more about Marian Gidea's work NSF Grant to Fund Study of Energy Harvesting Devices The research, “,” is supported by a three-year $300,000 National Science Foundation grant, which was awarded in July to investigate dynamical systems, including applications to energy harvesting, celestial mechanics and space mission design. . Student Modeling Unusual Kind of Natural Energy Read more about Samuel Akingbade Student Modeling Unusual Kind of Natural Energy With the help of an NSF grant, Katz School mathematics Ph.D. candidate Samuel Akingbade is researching the mathematical possibility of continuously capturing energy derived from small amounts of vibration in human and natural activity.Read the entire story in the Katz blog. NSF Study Measures Gravity on Asteroids Read about the research's connection to spacecraft NSF Study Measures Gravity on Asteroids Three Katz School mathematics and physics researchers have developed a theoretical framework for predicting the possible shapes and gravitational fields of asteroids.Read the story here. Â鶹´«Ă˝Ół» Ranked 68th in Best National Universities Read more about Â鶹´«Ă˝Ół»â€™s rankings Â鶹´«Ă˝Ół» Ranked 68th in Best National Universities Â鶹´«Ă˝Ół» ranks 68th among National Universities and 33rd in Best Value Schools in the 2022 edition of U.S. News & World Report’s Best Colleges. Welcome to Mathematics at Â鶹´«Ă˝Ół» M.A. and Ph.D. programs on-campus in New York City. Welcome to Mathematics at Â鶹´«Ă˝Ół» Study Finds Planets Can Be Trapped in Sun's Orbit Read more about Edward Belbruno's study Study Finds Planets Can Be Trapped in Sun's Orbit Objects from interstellar space, such as rogue planets and asteroids, can become permanently trapped in the Sun’s orbit as a result of the combined gravitational effects of the Sun and the entire Milky Way galaxy, according to a study by researchers in the Katz School’s Mathematical Sciences program and at NASA.Read the story in the Katz School blog. NSF Grant to Fund Study of Energy Harvesting Devices Read more about Marian Gidea's work NSF Grant to Fund Study of Energy Harvesting Devices The research, “,” is supported by a three-year $300,000 National Science Foundation grant, which was awarded in July to investigate dynamical systems, including applications to energy harvesting, celestial mechanics and space mission design. . Student Modeling Unusual Kind of Natural Energy Read more about Samuel Akingbade Student Modeling Unusual Kind of Natural Energy With the help of an NSF grant, Katz School mathematics Ph.D. candidate Samuel Akingbade is researching the mathematical possibility of continuously capturing energy derived from small amounts of vibration in human and natural activity.Read the entire story in the Katz blog. NSF Study Measures Gravity on Asteroids Read about the research's connection to spacecraft NSF Study Measures Gravity on Asteroids Three Katz School mathematics and physics researchers have developed a theoretical framework for predicting the possible shapes and gravitational fields of asteroids.Read the story here. Â鶹´«Ă˝Ół» Ranked 68th in Best National Universities Read more about Â鶹´«Ă˝Ół»â€™s rankings Â鶹´«Ă˝Ół» Ranked 68th in Best National Universities Â鶹´«Ă˝Ół» ranks 68th among National Universities and 33rd in Best Value Schools in the 2022 edition of U.S. News & World Report’s Best Colleges.
