## Publications by Our Graduate Students

(2014) A Boundary Value Problem for Integrodifference Population Models with Cyclic Kernels Discrete and Continuous Dynamical Systems Series B 19 10 3191-3207 | ||

(2015) Reflection groups of the quadratic form -px_0^2+x_1^2+...+x_n^2 Publicacions MatemÃ tiques 14 | ||

(2014) Persistent homology for metric measure spaces, and robust statistics for hypothesis testing and confidence intervals Foundations of Computational Mathematics | ||

(2013) On the Topological and Uniform Structure of Diversities Journal of Function Spaces and Applications 2013 Article ID 675057 | ||

(2013) Congruences for Ramanujan's f and omega functions via generalized Borcherds products The Ramanujan Journal (to appear) | ||

(2012) On the regularity of the free boundary in the optimal partial transport problem for general cost functions preprint | ||

(2013) A quantitative log-Sobolev inequality for a two parameter family of functions Int. Math. Res. Not. IMRN, to appear | ||

(2013) Free boundary regularity in the optimal partial
transport problem J. Funct. Anal., 264 (2013), no. 11, 2497-2528 | ||

(2013) A sharp stability result for the relative isoperimetric inequality inside convex cones J. Geom. Anal., 23 (2013), no. 2, 938-969 | ||

(2012) On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian Submitted | ||

(2012) Hawking mass and local rigidity of minimal two-spheres in three-manifolds Submitted | ||

(2012) On the blow-up of four dimensional Ricci flow singularities J. Reine Angew. Math. To appear. | ||

(2012) Periodic orbits in the concentric circular restricted four-body problem and their invariant manifolds Physica D, to appear | ||

(2011) Estimates for the Square Variation of Partial Sums of Fourier Series and their Rearrangements Journal of Functional Analysis, to appear | ||

(2010) Restriction Estimates for the Paraboloid Over Finite Fields Proc. Amer. Math. Soc., to appear | ||

(2011) Time-dependent scattering theory for ODE's and applications to reaction dynamics J. Phys. A: Math. Theor. 44 (2011) 195101. | ||

(2011) Perturbation and Numerical Methods for Computing the Minimal Average Energy To appear in Networks and Heterogeneous Media | ||

(2010) On the Structure of Sets of Large Doubling European Journal of Combinatorics 32 (2011) 688-708 | ||

(2010) Error Estimates for Generalized Barycentric Interpolation Accepted to Advances in Computational Mathematics | ||

(2009) Resonance sequences and focal decomposition Israel Journal of Mathematics 170 269-284 | ||

(2011) Rank gradient in co-final towers of certain Kleinian groups submitted (arxiv) | ||

(2011) A Comparison Principle for a Sobolev Gradient Semi-flow Communications on Pure and Applied Analysis 10 1 69-91 | ||

(2010) Stability of First Order ODEs with Colored Noise Forcing Submitted | ||

(2010) Regularity for non-local almost minimal boundaries and applications Submitted (arxiv preprint) | ||

(2010) Five lectures on optimal transportation: Geometry, regularity and applications Submitted (arxiv preprint) | ||

(2011) Aleksandrov-Bakelman-Pucci Type Estimates For Integro-Differential Equations Submitted (arxiv preprint) | ||

(2009) Optimal regularity for the Signorini Problem Calculus of Variations and Partial Differential Equations 36 533-546 | ||

(2010) Commensurability classes containing three knot complements Algebraic & Geometric Topology 10 2 663-677 | ||

(2010) An Improved Upper Bound for the Sum-free Subset Constant J. Integer Seq. 13 (2010), no. 8, Article 10.8.3, 15 pp | ||

(2009) A Classification of Additive Symmetric 2-Cocycles Illinois Journal of Mathematics 53 4 983-1017 | ||

(2011) Non-negative Ricci curvature on closed manifolds under Ricci flow Proc. Amer. Math. Soc. | ||

(2011) Complementary Space for Enhanced Uncertainty and Dynamics Visualization Chapter in Topological Methods in Data Analysis and Visualization: Theory, Algorithms and Applications | ||

(2009) Topology Based Selection and Curation of Level Sets Chapter in Topology-Based Methods In Visualization 45-58 | ||

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