Initiation into research itself is facilitated by our Research Clusters, which provide an informal yet structured context in which faculty, postdocs, graduate students and advanced undergraduates can interact. The interaction can take many different forms, such as current literature seminars, working seminars with student participation, and specialized group research projects. Additionally, senior graduate students may report on thesis progress and outside speakers may be invited. Research clusters exist in core areas as well as interdisciplinary and emerging research areas. The following clusters are active:

• Algebra: Baker, Elman, Merkurjev, and Schacher
• Algebraic Geometry and Mathematical Physics: L. Chayes, Gieseker, M. Green, K. Liu and Varadarajan
• Analysis, Dynamical Systems, and Partial Differential Equations: Bertozzi, Eskin, Fattorini, Garnett, Gamelin, Kreiss, Perez-Marco, Ralston, Roberts, Tadmor, Tao, and Thiele
• Geometry and Topology: Brown, De Sapio, Edwards, R. Greene, G. Liu, Mess, Petersen, and White.
• Image Processing and Visualization: Bertozzi, Chan, Osher, and Vese. Image Processing Research Group Website
• Mathematical Logic: Hjorth, Martin, Moschovakis, and Neeman.
• Mathematics of Material Science: Anderson, Caflisch, and Osher. Materials Modeling Group Website
• Multiresolution Analysis: Anderson, Chan, Engquist, She, and Thiele
• Number Theory and Automorphic Forms: Blasius, Duke, Hida, and Rogawski. Number Theory Website
• Operator Algebras: Effros, Popa, Shlyakhtenko, and Takesaki
• Probability: L. Chayes, Liggett, Mountford, and Schonmann

Participating Seminars

Research Clusters are complemented by the vertical integration between faculty and graduate students in Participating Seminars. Special participating seminar courses (Math 296) introduce graduate students to contemporary research topics early in their graduate study.

• 296I: Participating Seminar: Functional Analysis (S. Popa)
• 296J: Participating Seminar: Applied Mathematics (S.J. Osher, L.A. Vese)
• 296J: Participating Seminar: Applied Mathematics (T. Chan)
• 296J: Participating Seminar: Applied Mathematics (L.A. Vese)
• 296J: Participating Seminar: Applied Mathematics (A. Bertozzi)
• 296K: Participating Seminar: Probability (M. Biskup)

Post-doctoral | Graduate | Undergraduate | Research Clusters | Lecture Series | UCLA Math Vigre Program

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