Mathematics

Projects

Projects per year

2006 2024

• 37 Active
• 82 Finished

Projects per year

Search results

• Active

  Algebraic and geometric methods for clustering and classification

  Singer, A.

  Air Force Office of Scientific Research

  9/1/20 → 8/31/23

  Project: Research project

  • Algebraic Methods
  • Clustering

• Higher dimensional algebraic varieties: geometry and arithmetic

  Ascher, K. B.

  NSF - National Science Foundation

  7/15/20 → 6/30/23

  Project: Research project

  • Algebraic Variety
  • High-dimensional

• NSF-BSF: Modern Techniques for Signal Reconstruction from Moments

  Singer, A.

  NSF - National Science Foundation

  7/15/20 → 6/30/24

  Project: Research project

  • Signal reconstruction

• Distribution of Roots of Random Functions

  Nguyen, O. T. H.

  NSF - National Science Foundation

  7/1/20 → 6/30/23

  Project: Research project

  • Random Function
  • Roots

• Geometric variational problems and scalar curvature

  Li, C.

  NSF - National Science Foundation

  7/1/20 → 6/30/23

  Project: Research project

  • curvature
  • scalars

• Stability of solitons and long-term dynamics of fluids

  Ionescu, A. D.

  NSF - National Science Foundation

  7/1/20 → 6/30/23

  Project: Research project

  • fluid

• Beyond stability of black holes in general relativity

  Rodnianski, I.

  NSF - National Science Foundation

  7/1/20 → 6/30/23

  Project: Research project

  • relativity

• Smooth 4-manifold topology, 3-manifold group actions on R, the Heegaard Tree and low volume hyperbolic 3-manifolds

  Gabai, D.

  NSF - National Science Foundation

  7/1/20 → 6/30/23

  Project: Research project

  • Hyperbolic 3-manifold
  • 4-manifold
  • Group Action
  • Topology

• Reconstruction of heterogeneous and small macromolecules by cyro-EM

  Singer, A.

  NIH NIGMS

  6/1/20 → 3/31/24

  Project: Research project

• Three-Dimensional Manifolds, Heegaard Floer Homology and Knot Theory

  Szabo, Z.

  NSF - National Science Foundation

  9/1/19 → 8/31/22

  Project: Research project

  • Heegaard Floer Homology
  • Knot Theory
  • Three-dimensional

• Analytic Methods in Hydrodynamic and Wave Turbulence

  Buckmaster, T. J.

  NSF - National Science Foundation

  9/1/19 → 8/31/22

  Project: Research project

  • hydrodynamics
  • turbulence
  • method

• Random, computational and statistical processes on networks

  Sly, A. M.

  NSF - National Science Foundation

  9/1/19 → 8/31/22

  Project: Research project

  • Random process

• Singularities and Black Holes in General Relativity

  Shlapentokh-Rothman, Y. M.

  NSF - National Science Foundation

  7/1/19 → 6/30/22

  Project: Research project

  • relativity

• Constructions and Decompositions in Graph Theory

  Seymour, P.

  Air Force Office of Scientific Research

  7/1/19 → 6/30/22

  Project: Research project

  • Graph theory
  • Decompose

• L-values, Special Cycles, and Euler Systems

  Skinner, C. M.

  NSF - National Science Foundation

  7/1/19 → 6/30/24

  Project: Research project

• Problems and Methods in Extremal Combinatorics

  Alon, N. M.

  NSF - National Science Foundation

  7/1/19 → 6/30/22

  Project: Research project

  • Extremal Combinatorics

• Moduli of Varieties of General Type

  Kollar, J.

  NSF - National Science Foundation

  7/1/19 → 6/30/24

  Project: Research project

  • Modulus

• BIGDATA: F: Collaborative Research: Moment Methods for Big Data: Modern Theory, Algorithms, and Applications

  Singer, A.

  NSF - National Science Foundation

  10/1/18 → 9/30/21

  Project: Research project

• On the Mathematical Theory of Black Holes

  Klainerman, S.

  NSF - National Science Foundation

  9/1/18 → 8/31/21

  Project: Research project

• Geometry, Analysis and Variational Methods

  Coda Marques, F.

  NSF - National Science Foundation

  8/1/18 → 7/31/21

  Project: Research project

  • geometry

• Arithmetic intersection on Shimura Varieties and Properties of Abelian Varieties

  Tang, Y.

  NSF - National Science Foundation

  7/1/18 → 6/30/21

  Project: Research project

  • Shimura Varieties
  • Abelian Variety
  • Intersection

• Number Theory, Representation Theory, and Arithmetic Geometry

  Bhargava, M.

  NSF - National Science Foundation

  7/1/18 → 6/30/23

  Project: Research project

  • Number theory
  • Representation Theory

• Global existence and Computer-Assisted Proofs of Singularities in Incompressible Fluids

  Gomez-Serrano, J. & Ionescu, A. D.

  NSF - National Science Foundation

  7/1/18 → 6/30/21

  Project: Research project

  • Computer-assisted Proof
  • Incompressible Fluid
  • Global Existence
  • Singularity

• Forbidding Induced Subgraphs: Structure and Properties

  Chudnovsky, M.

  NSF - National Science Foundation

  7/1/18 → 6/30/21

  Project: Research project

• Diophantine Analysis: From Structured to Random

  Sarnak, P. C.

  NSF - National Science Foundation

  7/1/18 → 6/30/23

  Project: Research project

• Induced Subgraphs and Coloring

  Seymour, P.

  NSF - National Science Foundation

  7/1/18 → 6/30/21

  Project: Research project

• Fitting Smooth Functions and Manifolds to Data, and Related Problems of Control Theory

  Fefferman, C. L.

  Air Force Office of Scientific Research

  2/21/18 → 2/20/23

  Project: Research project

  • Smooth Manifold
  • Control Theory
  • Smooth function

• Fourier Analysis and Partial Differential Equations

  Fefferman, C. L.

  NSF - National Science Foundation

  9/1/17 → 8/31/21

  Project: Research project

  • Fourier analysis
  • Partial differential equations

• Machine Learning via Dynamical Systems

  E, W.

  Office of Naval Research - MA

  9/1/17 → 8/31/21

  Project: Research project

  • Dynamical systems
  • Machine learning

• Modern Tools for Classification and Clustering

  Singer, A.

  Air Force Office of Scientific Research

  8/1/17 → 7/31/21

  Project: Research project

• Alan T. Waterman Award

  Pardon, J. V.

  NSF - National Science Foundation

  7/18/17 → 7/31/22

  Project: Research project

• Heegaard Diagrams and Holomorphic Disks

  Ozsvath, P. S.

  NSF - National Science Foundation

  7/1/17 → 6/30/21

  Project: Research project

  • Heegaard Diagram

• Topics in Arithmetic Geometry: Moduli Varieties, L-functions, Arakelov Theory and Their Interactions and Applications

  Zhang, S.

  NSF - National Science Foundation

  7/1/17 → 6/30/21

  Project: Research project

  • Arakelov Theory
  • L-function
  • Modulus
  • Interaction

• Hyperbolic Geometry, Heegaard Surfaces, Foliation/Lamination Theory and Smooth Four Dimensional Topology

  Gabai, D.

  NSF - National Science Foundation

  7/1/16 → 6/30/21

  Project: Research project

  • Lobachevskian geometry
  • Lamination
  • Foliation
  • Topology

• Long Term Regularity of Solutions of Fluid Models

  Ionescu, A. D.

  NSF - National Science Foundation

  7/1/16 → 6/30/21

  Project: Research project

  • Fluid Model
  • Regularity of Solutions
  • Term

• CAREER: New Techniques for High Dimensional Systems

  Marcus, A. W.

  NSF - National Science Foundation

  6/1/16 → 5/31/21

  Project: Research project

• RTG: Geometry and Topology at Princeton

  Ozsvath, P. S.

  NSF - National Science Foundation

  9/1/15 → 8/31/21

  Project: Research project

  • topology
  • geometry
• Finished

  Geometric Invariance and Partial Differential Equations

  Chang, S. A.

  NSF - National Science Foundation

  1/1/18 → 12/31/18

  Project: Research project

  • Invariance
  • Partial differential equation

• Complex Systems and Boundary Interactions

  Constantin, P.

  NSF - National Science Foundation

  9/15/17 → 8/31/20

  Project: Research project

  • Large scale systems

• Analytic Methods in Hydrodynamic and Wave Turbulence

  Buckmaster, T. J.

  NSF - National Science Foundation

  9/1/17 → 4/30/19

  Project: Research project

  • hydrodynamics
  • turbulence
  • method

• Effective boundedness results in algebraic geometry

  Di Cerbo, G.

  NSF - National Science Foundation

  8/16/17 → 7/31/20

  Project: Research project

  • Algebraic Geometry
  • Boundedness

• The Nonlinear Stability of Black Holes and the Structure of Spacetime Singularities in General Relativity

  Rodnianski, I.

  NSF - National Science Foundation

  8/1/17 → 7/31/20

  Project: Research project

  • relativity

• Low-dimensional Topology Via Bordered Floer Theory

  Hanselman, J.

  NSF - National Science Foundation

  7/15/17 → 6/30/20

  Project: Research project

  • topology

• Spectral Properties of Random Band Matrices and Related Questions

  Shcherbyna, T.

  NSF - National Science Foundation

  7/1/17 → 8/31/20

  Project: Research project

  • Band matrix
  • Random Matrices
  • Spectral Properties

• CAREER: Stochastic Processes and Embeddings on Networks

  Sly, A. M.

  NSF - National Science Foundation

  7/1/17 → 7/31/20

  Project: Research project

• Colaborative Research: Tractable Non-convex Optimization

  Boumal, N.

  NSF - National Science Foundation

  7/1/17 → 6/30/20

  Project: Research project

• Graph Coloring Questions

  Seymour, P.

  Office of Naval Research - MA

  6/1/17 → 5/31/18

  Project: Research project

• Low Dimensional Topology and Holomorphic Disks

  Szabo, Z.

  NSF - National Science Foundation

  9/1/16 → 8/31/20

  Project: Research project

  • Topology

• Coloring Perfect Graphs

  Chudnovsky, M.

  Army Research Office - NC

  7/18/16 → 9/17/20

  Project: Research project

  • Perfect Graphs
  • Colouring

• Geometry and Analysis of Differentiable Manifolds

  Chang, S. A.

  NSF - National Science Foundation

  7/1/16 → 8/31/20

  Project: Research project

  • Differentiable Manifolds