caltech applied math phd

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•  Joel A. Tropp
• Algorithms that work
• User-friendly theory
• Inspiring courses
• Community service

Joel A. Tropp is Steele Family Professor of Applied & Computational Mathematics at the California Institute of Technology . His research centers on applied mathematics, machine learning, data science, numerical algorithms, and random matrix theory. Some of his best-known contributions include matching pursuit algorithms , randomized SVD algorithms , and matrix concentration inequalities .

Prof. Tropp attained the Ph.D. degree in Computational Applied Mathematics at the University of Texas at Austin in 2004, and he joined Caltech in 2007. He won the PECASE in 2008, and he was recognized as a Highly Cited Researcher in Computer Science each year from 2014–2018. He is co-founder and Section Editor of the SIAM Journal on Mathematics of Data Science ( SIMODS ), and he was co-chair of the inaugural 2020 SIAM Conference on the Mathematics of Data Science . Prof. Tropp was elected SIAM Fellow in 2019 and IEEE Fellow in 2020.

Download high-resolution headshot . Photo credit: Stacey Adams Photo .

Curriculum Vitæ

• Short CV — February 2024
• Publication list — February 2024
• List of talks — February 2024

Coordinates

Write contact card

• Name: Joel A. Tropp
• Email: --> [email protected]
• Web: https://tropp.caltech.edu/
• Phone: --> +1.626.395.5957
• Office: Annenberg Center , Room 307
• Mail: --> Annenberg Center MC 305-16, Caltech, 1200 E. California Blvd., Pasadena, CA 91125-5000
• Title: Steele Family Professor of Applied & Computational Mathematics
• Department: Computing and Mathematical Sciences (CMS)
• Division: Engineering and Applied Sciences (EAS)
• Institution: California Institute of Technology (Caltech)

• Publications

Andrew Stuart has research interests in applied and computational mathematics, and is interested in particular in the question of how to optimally combine complex mechanistic models with data. He joined Caltech in 2016 as Bren Professor of Computing and Mathematical Sciences, after 17 years as Professor of Mathematics at the University of Warwick (1999--2016). Prior to that he was on the faculty in The Departments of Computer Science and Mechanical Engineering at Stanford University (1992--1999), and in the Mathematics Department at Bath University (1989--1992). He obtained his PhD from the Oxford University Computing Laboratory in 1986, and held postdoctoral positions in Mathematics at Oxford University and at MIT in the period 1986--1989

• Research Group

Mathematics

Areas of Research

Students in mathematics have the opportunity to work in many fields of current research. The main active areas of research by the faculty include the following:

• Algebra. Finite group theory, algebraic groups, representation theory, symmetric functions, algebraic K-theory.
• Algebraic Geometry. Moduli spaces, birational geometry, Hodge theory, Calabi-Yau varieties, arithmetic geometry.
• Analysis. Classical real and complex analysis, harmonic analysis, functional analysis and operator theory, orthogonal polynomials; complex, smooth, and random dynamical and Hamiltonian systems, fractals, integrable systems, partial differential equations.
• Combinatorics. Combinatorial designs and matrix theory, coding theory, extremal set theory.
• Geometry and Topology. Low-dimensional topology, hyperbolic geometry, geometric group theory and foliations; symplectic geometry and topology, topological gauge theory, knot theory, and their interface with theoretical physics.
• Mathematical Logic. Set theory and its interactions with analysis, combinatorics, dynamical systems, and model theory.
• Mathematical Physics. Schrödinger operators, random matrices.
• Noncommutative Geometry.
• Number Theory. Algebraic number theory, automorphic forms, Shimura varieties, Galois representations, and L-functions.

Physical Facilities

The mathematics department is housed in the Ronald and Maxine Linde Hall of Mathematics and Physics and the W.K. Kellogg Radiation Laboratory. In addition to offices for the faculty and graduate students, there are classrooms, conference rooms, discussion areas, a lecture hall, and a lounge for informal gatherings of the students and staff. The mathematics collection is housed nearby in the Sherman Fairchild Library.

Master of Science in Mathematics and Applied Statistics

At California State University Long Beach

The Department of Mathematics & Statistics at CSULB offers four Master of Science programs .

Teaching & Graduate Assistantships provide students with funding and with college teaching experience.

Graduates have found employment in both technical and academic workplaces. Many have obtained tenure-track community college professorships. Others have gone on to PhD programs.

MS in Mathematics, General Option

Study and explore concepts in areas including analysis, algebra, topology, and geometry, as well as the   deep connections between and among these subjects.

MS in Mathematics, Option in Applied Mathematics

Study applied math methods with an emphasis on computational skills.

MS in Mathematics, Option in Mathematics Education for Secondary School Teachers

A flexible program that includes coursework in mathematics and in mathematics education research & theory.

MS in Applied Statistics

Using conceptual foundations and statistical software packages ( SAS , R , and Python ), students are trained to analyze real world data appropriately and communicate their findings effectively. The tools learnt here will open the door for careers in data science and analytics, or prepare you for a PhD in a variety of related fields.

More Information & Application Instructions

Apply for Teaching and Graduate Assistantships

Contact Us with Questions

Dr. John Brevik, Pure Mathematics Graduate Advisor, [email protected]

Dr. Paul Sun, Applied Math Graduate Advisor, [email protected]

Dr. Xuhui Li, Mathematics Education Graduate Advisor, [email protected]

Dr. Kagba Suaray, Statistics Graduate Advisor, [email protected]

30 Best universities for Mechanical Engineering in Moscow, Russia

Updated: February 29, 2024

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• Computer Science
• Engineering
• Environmental Science
• Liberal Arts & Social Sciences
• Mathematics

Below is a list of best universities in Moscow ranked based on their research performance in Mechanical Engineering. A graph of 269K citations received by 45.8K academic papers made by 30 universities in Moscow was used to calculate publications' ratings, which then were adjusted for release dates and added to final scores.

We don't distinguish between undergraduate and graduate programs nor do we adjust for current majors offered. You can find information about granted degrees on a university page but always double-check with the university website.

1. Moscow State University

For Mechanical Engineering

2. Bauman Moscow State Technical University

3. National Research University Higher School of Economics

4. Moscow Aviation Institute

5. N.R.U. Moscow Power Engineering Institute

6. National Research Nuclear University MEPI

7. National University of Science and Technology "MISIS"

8. Moscow Institute of Physics and Technology

9. Moscow State Technological University "Stankin"

10. RUDN University

11. Moscow Polytech

12. Moscow State University of Railway Engineering

13. Finance Academy under the Government of the Russian Federation

14. Moscow Medical Academy

15. Russian State University of Oil and Gas

16. mendeleev university of chemical technology of russia.

17. Russian National Research Medical University

18. Plekhanov Russian University of Economics

19. National Research University of Electronic Technology

20. Moscow State Pedagogical University

21. Russian Presidential Academy of National Economy and Public Administration

22. State University of Management

23. Moscow State Institute of International Relations

24. Russian State Geological Prospecting University

25. russian state agricultural university.

26. New Economic School

27. Moscow State Technical University of Civil Aviation

28. Russian State University for the Humanities

29. Russian State Social University

30. Moscow State Linguistic University

Universities for Mechanical Engineering near Moscow

Engineering subfields in moscow.

Best Global Universities for Mechanical Engineering in Russia

These are the top universities in Russia for mechanical engineering, based on their reputation and research in the field. Read the methodology »

To unlock more data and access tools to help you get into your dream school, sign up for the  U.S. News College Compass !

Here are the best global universities for mechanical engineering in Russia

Tomsk polytechnic university.

See the full rankings

• Clear Filters
• # 74 in Best Universities for Mechanical Engineering
• # 879 in Best Global Universities  (tie)