| Publication | Date of Publication | Type |
|---|
| Horocyclic Brunn-Minkowski inequality | 2023-12-21 | Paper |
| Long lines in subsets of large measure in high dimension | 2023-11-20 | Paper |
| Linear extension operators for Sobolev spaces on radially symmetric binary trees | 2023-07-24 | Paper |
| The Slicing Problem by Bourgain | 2023-04-05 | Paper |
| Logarithmic bounds for isoperimetry and slices of convex sets | 2023-03-27 | Paper |
| Bourgain's slicing problem and KLS isoperimetry up to polylog | 2022-10-21 | Paper |
| A weak version of the $\varepsilon$-Dvoretzky conjecture for normed spaces | 2022-06-27 | Paper |
| Bourgain's slicing problem and KLS isoperimetry up to polylog | 2022-03-29 | Paper |
| Local tail bounds for polynomials on the discrete cube | 2021-12-27 | Paper |
| Rigidity of Riemannian embeddings of discrete metric spaces | 2021-10-29 | Paper |
| Discrete variants of Brunn-Minkowski type inequalities | 2021-08-17 | Paper |
| Spectral monotonicity under Gaussian convolution | 2021-07-20 | Paper |
| A coordinate-free proof of the finiteness principle for Whitney's extension problem | 2021-03-07 | Paper |
| Corrigendum to: ``A coordinate-free proof of the finiteness principle for Whitney's extension problem | 2021-03-07 | Paper |
| Chasing Nested Convex Bodies Nearly Optimally | 2021-02-02 | Paper |
| Unimodal value distribution of Laplace eigenfunctions and a monotonicity formula | 2020-09-03 | Paper |
| The Lower Bound for Koldobsky’s Slicing Inequality via Random Rounding | 2020-08-21 | Paper |
| Spectral gaps, symmetries and log-concave perturbations | 2020-05-11 | Paper |
| Complex Legendre duality | 2020-02-28 | Paper |
| Complex interpolation of \(\mathbb R\)-norms, duality and foliations | 2020-02-26 | Paper |
| One more proof of the Alexandrov-Fenchel inequality | 2019-10-30 | Paper |
| Extremal Kähler-Einstein metric for two-dimensional convex bodies | 2019-08-13 | Paper |
| Poisson processes and a log-concave Bernstein theorem | 2019-05-13 | Paper |
| Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets | 2019-01-16 | Paper |
| Some Open Problems in Asymptotic Geometric Analysis | 2018-11-02 | Paper |
| Estimates for moments of general measures on convex bodies | 2018-09-21 | Paper |
| Isotropic constants and Mahler volumes | 2018-06-22 | Paper |
| Remarks on curvature in the transportation metric | 2018-03-16 | Paper |
| An example related to the slicing inequality for general measures | 2018-02-13 | Paper |
| Affine hemispheres of elliptic type | 2018-01-09 | Paper |
| Book Review: Geometry of isotropic convex bodies | 2017-10-10 | Paper |
| Super-Gaussian Directions of Random Vectors | 2017-07-13 | Paper |
| Convex geometry and waist inequalities | 2017-04-11 | Paper |
| Optimal compression of approximate inner products and dimension reduction | 2016-10-02 | Paper |
| Discrete Curvature and Abelian Groups | 2016-06-03 | Paper |
| Lipschitz functions on the infinite-dimensional torus | 2016-02-18 | Paper |
| On the Oscillation Rigidity of a Lipschitz Function on a High-Dimensional Flat Torus | 2015-06-11 | Paper |
| Logarithmically-Concave Moment Measures I | 2015-06-11 | Paper |
| Book Review: Geometry of isotropic convex bodies | 2015-06-09 | Paper |
| Eigenvalue distribution of optimal transportation | 2015-05-12 | Paper |
| Moment measures | 2015-05-06 | Paper |
| Dimensionality and the stability of the Brunn-Minkowski inequality | 2015-04-21 | Paper |
| Concentration of measures supported on the cube | 2014-12-02 | Paper |
| Quantum one-way communication can be exponentially stronger than classical communication | 2014-06-05 | Paper |
| Poincaré inequalities and moment maps | 2013-07-24 | Paper |
| Variations on the Berry--Esseen Theorem | 2013-06-12 | Paper |
| Interpolations, Convexity and Geometric Inequalities | 2013-04-03 | Paper |
| Inner Regularization of Log-Concave Measures and Small-Ball Estimates | 2013-04-03 | Paper |
| Erratum to: ``Fitting a \(C^m\)-smooth function to data. II | 2012-11-22 | Paper |
| Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality | 2012-05-30 | Paper |
| Centroid bodies and the logarithmic Laplace transform - A unified approach | 2011-12-14 | Paper |
| Approximately gaussian marginals and the hyperplane conjecture | 2011-10-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3567820 | 2010-06-17 | Paper |
| On nearly radial marginals of high-dimensional probability measures | 2010-05-26 | Paper |
| An example related to Whitney extension with almost minimal \(C^m\) norm | 2009-10-13 | Paper |
| ECONOMICAL TORIC SPINES VIA CHEEGER'S INEQUALITY | 2009-09-29 | Paper |
| On the hyperplane conjecture for random convex sets | 2009-09-03 | Paper |
| A Berry-Esseen type inequality for convex bodies with an unconditional basis | 2009-09-02 | Paper |
| Fitting a \(C^m\)-smooth function to data. I. | 2009-07-14 | Paper |
| Fitting a \(C^m\)-smooth function to data. II | 2009-05-18 | Paper |
| On volume distribution in 2-convex bodies | 2008-09-03 | Paper |
| Pointwise estimates for marginals of convex bodies | 2008-04-22 | Paper |
| Uniform almost sub-Gaussian estimates for linear functionals on convex sets | 2008-02-05 | Paper |
| \(C^1\) extensions of functions and stabilization of Glaeser refinements | 2008-01-22 | Paper |
| Marginals of Geometric Inequalities | 2007-11-05 | Paper |
| A central limit theorem for convex sets | 2007-10-23 | Paper |
| Power-law estimates for the central limit theorem for convex sets | 2007-05-10 | Paper |
| Small ball probability and Dvoretzky's Theorem | 2007-04-23 | Paper |
| On convex perturbations with a bounded isotropic constant | 2007-02-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5490963 | 2006-09-26 | Paper |
| The Santaló point of a function, and a functional form of the Santaló inequality | 2006-07-10 | Paper |
| Geometry of log-concave functions and measures | 2005-11-14 | Paper |
| Rapid Steiner Symmetrization of Most of a Convex Body and the Slicing Problem | 2005-11-14 | Paper |
| Empirical processes and random projections | 2005-09-22 | Paper |
| Rate of convergence of geometric symmetrizations | 2005-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4664561 | 2005-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4664565 | 2005-04-05 | Paper |
| An isomorphic version of the slicing problem | 2005-02-22 | Paper |
| A geometric inequality and a low 𝑀-estimate | 2004-08-13 | Paper |
| \(5n\) Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball | 2004-01-26 | Paper |
| Isomorphic Steiner symmetrization | 2003-11-04 | Paper |
| A reduction of the slicing problem to finite volume ratio bodies. | 2003-09-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2702145 | 2002-04-01 | Paper |