In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2017, vol. 2017, no. 725, p. 217-234
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In: Monatshefte für Mathematik, 2015, vol. 177, no. 1, p. 141-163
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In: Letters in Mathematical Physics, 2015, vol. 105, no. 10, p. 1427-1448
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In: Transactions of the American Mathematical Society, 2019, p. -
We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy $\R P^5$ has infinitely many path components. We also show that in each dimension $4k+1$ there are at least $2^{2k}$ homotopy $\R P^{4k+1}$s of pairwise distinct oriented diffeomorphism type for which the moduli space of metrics of positive Ricci curvature has infinitely many path components. Examples of...
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In: Advances in Mathematics, 2019, vol. 354, p. 106745
We study singular integral operators induced by 3-dimensional Calderón-Zygmund kernels in the Heisenberg group. We show that if such an operator is L2 bounded on vertical planes, with uniform constants, then it is also L2 bounded on all intrinsic graphs of compactly supported C1,α functions over vertical planes. In particular, the result applies to the operator R induced by the...
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In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2014, vol. 84, no. 1, p. 123-138
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In: Angiogenesis, 2014, vol. 17, no. 4, p. 779-804
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In: Geometriae Dedicata, 2014, vol. 169, no. 1, p. 323-341
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In: Proceedings of the National Academy of Sciences, 2019, vol. 116, no. 16, p. 7766–7771
Motivated by improvements in diffusing wave spectroscopy (DWS) for nonergodic, highly optically scattering soft matter and by cursory treatment of collective scattering effects in prior DWS microrheology experiments, we investigate the low-frequency plateau elastic shear moduli G′p of concentrated, monodisperse, disordered oil-in- water emulsions as droplets jam. In such experiments, the...
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In: Scientific Reports, 2018, vol. 8, no. 1, p. 10806
A little known, unculturable ascomycete, referred to as Phyllachora ambrosiae, can destroy the inflorescences of Ambrosia artemisiifolia, an invasive agricultural weed and producer of highly allergenic pollen. The fungus often remains undetectable in ragweed populations. This work was conducted to understand its origin and pathogenesis, a prerequisite to consider its potential as a biocontrol...
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