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## Noncommutative Geometry: Its Applications to Geometry and Analysis

Noncommutative Geometry: Its Applications to Geometry and Analysis (Xiang Tang, Geometric Analysis Program, NSF). This group studies various problems in geometry using noncommutative geometric tools.

## Algebraic, topological and enumerative combinatorics

Algebraic, topological and enumerative combinatorics (John Shareshian, Algebra, number theory, and combinatorics Program, NSF).

## Statistical Aggregation in Massive Data Environments

Statistical Aggregation in Massive Data Environments (Nan Lin, Statistics Program, NSF).

## Collaborative research in geometric numerical analysis

Collaborative research in geometric numerical analysis (Ari Stern, Simons). The cross-disciplinary topic of geometric numerical analysis lies at the intersection of geometry, analysis, and computation.

## Algebraic Cycles, Hodge Theory, and Arithmetic

Hodge theory, algebraic cycles, and arithmetic (Matt Kerr, Algebra and Number Theory Program, NSF).

## Problems in Function Theory and Operator Theory

Problems in Function Theory and Operator Theory (Richard Rochberg, Analysis Program, NSF).

## Operator Theory and Complex Analysis

Operator Theory and Complex Analysis (John McCarthy, Analysis Program, NSF).