Research Areas


Algebra and Number Theory

Algebra, Algebraic Groups, Algebraic Geometry, Analytic Number Theory, Arithmetic Geometry, Moonshine, Modular forms, Vertex Algebra

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Analysis & Differential Geometry

Differential geometry, applied analysis, partial differential equations, complex analysis, geometric function theory, spectral theory, and mathematical physics.

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Biomedical Informatics

Biomedical informatics leverages virtually all areas of biomedical, computational, physical and social science. Research groups include cancer, clinical phenotyping, mHealth, healthcare analytics, human genetics, high-throughput drug discovery, infectious diseases, neurosciences, pathology, radiology and real-time streaming health analytics, among others.

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Center for Language and Information Research (CLIR)

We study computational linguistics, and develop new techniques for natural language processing, information retrieval and web search and text mining.
Related Links:
Mind & Language Lab
IR Lab

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Data and Networked Systems

We research how to build and improve scalable distributed systems, databases and networking to support the collection, analysis and understanding of large volumes of data.

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Data Mining and Machine Learning

We study algorithms and methods for finding patterns and insights in data to build more intelligent and effective systems.

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Databases and Information Management

We work on storage, organization, management and retrieval of medical, public health, web and biological data.
Related Links:
AIMS Lab
IR Lab

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Discrete Mathematics & Theoretical Computer Science

Ordered combinatorial and algebraic structures, theory of computation, circuit complexity, geometric algorithms, approximation algorithms, graph theory, hypergraphs, ramsey theory, combinatorics, extremal graph theory, approximation algorithms, combinatorial optimization, polyhedral combinatorics, mathematical programming, combinatorial scientific computing.

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Distributed Computing Laboratory

Metacomputing, distributed systems, collaboration technologies, and networking. Current projects are focusing on self-organizing frameworks for cooperative resource-sharing and collaboration group communication in the context of peer-to-peer networks.

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Imaging Informatics

Development of methods for labeling anatomic and micro-anatomic structures found in images, systems software and techniques for management and analysis of very large image data, and techniques and software tools for sharing this labeling information in a computational grid architecture. Computational methods for large-scale image processing, in particular, image deblurring, image reconstruction, image registration.

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Numerical Analysis & Scientific Computing

Numerical Linear Algebra, Numerical Optimization, Numerical Partial Differential Equations, Numerical Methods for Inverse Problems, Image Processing, Geophysics, Computational Fluid Dynamics, Numerical Methods for Complex Networks, Parallel and Distributed Computing.

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