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<h2>cvgmt weekly bulletin</h2>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/978/'>Figalli</a></p>
<p><b>New papers by:</b> <a href='/person/6273/' >Melillo</a>, <a >Parker</a>, <a >Terracini</a>, <a href='/person/260/' >Goldman</a>, <a href='/person/1304/' >Mészáros</a>, <a href='/person/2715/' >Bessas</a>, <a href='/person/4262/' >Reggiani</a>, <a href='/person/5030/' >Pignatelli</a>, <a href='/person/5544/' >Prade</a>, <a >Schiattarella</a>, <a href='/person/2808/' >Carbotti</a>, <a href='/person/5296/' >Deutsch</a>, <a >Rodiac</a>, <a href='/person/4538/' >Donati</a>, <a href='/person/71/' >Guarino Lo Bianco</a>, <a href='/person/200/' >Briani</a>, <a >Henao</a>, <a >Mora-Corral</a>, <a href='/person/4323/' >Brusca</a>, <a href='/person/5230/' >Voglino</a>, <a href='/person/5234/' >Scalabrino</a>, <a href='/person/5235/' >Trifone</a>, <a href='/person/116/' >Barchiesi</a>, <a href='/person/1394/' >Cristoferi</a>, <a href='/person/119/' >Novaga</a>, <a href='/person/2680/' >Tortone</a>, <a href='/person/2681/' >Vita</a></p>
<p><b>Modified papers by:</b> <a href='/person/642/'>Squassina</a>, <a >Terracini</a>, <a href='/person/3845/'>De Masi</a>, <a >Chambolle</a>, <a href='/person/141/'>Pinamonti</a>, <a >Cecchin</a>, <a href='/person/5263/'>Decio</a>, <a href='/person/3477/'>Gallo</a>, <a >Bartolucci</a>, <a >Hu</a>, <a href='/person/26/'>Stepanov</a>, <a href='/person/3610/'>Merlino</a>, <a href='/person/1820/'>Jevnikar</a>, <a href='/person/2207/'>Pasqualetto</a>, <a href='/person/166/'>Morini</a>, <a href='/person/3881/'>Brena</a>, <a href='/person/3628/'>Rossi</a>, <a href='/person/4141/'>Kubin</a>, <a href='/person/3502/'>Bulanyi</a>, <a href='/person/4142/'>De Gennaro</a>, <a >Aghili</a>, <a >Di Pietro</a>, <a >Rodiac</a>, <a href='/person/184/'>Davoli</a>, <a href='/person/3128/'>Goffi</a>, <a href='/person/58/'>De Lellis</a>, <a href='/person/194/'>Stefanelli</a>, <a href='/person/578/'>Mosconi</a>, <a href='/person/4807/'>Carducci</a>, <a href='/person/200/'>Briani</a>, <a href='/person/1227/'>Rizzi</a>, <a href='/person/76/'>Marchese</a>, <a href='/person/973/'>Ruffini</a>, <a >Wei</a>, <a >Yang</a>, <a href='/person/336/'>Velichkov</a>, <a >Henao</a>, <a >Mora-Corral</a>, <a href='/person/4600/'>Bossio</a>, <a >Guo</a>, <a >Karagodin</a>, <a href='/person/1644/'>Almi</a>, <a href='/person/109/'>Mennucci</a>, <a href='/person/4973/'>Talluri</a>, <a href='/person/2930/'>Tasso</a>, <a href='/person/116/'>Barchiesi</a>, <a >Ishii</a>, <a href='/person/2680/'>Tortone</a>, <a href='/person/2681/'>Vita</a>, <a >Birindelli</a>, <a href='/person/5245/'>Gambicchia</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/1086/'>77th British Mathematical Colloquium</a></b><br />
Mon 30 March 2026 - Thu 2 April 2026<br />
Cardiff University<br />
</p></li>
<li><p>
<b><a href='/event/1090/'>Spring School on Weak Optimal Transport, Wasserstein Barycenters and Applications</a></b><br />
Mon 30 March 2026 - Thu 2 April 2026<br />
Université de Toulon (France)<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Mon 30 March 2026</h3><ul>
<li><p>
BANG (Bridging ANalysis & Geometry) online seminar
organized by Esther Cabezas-Rivas & Salvador Moll (Universitat de València)<br />
Alessio Figalli (ETH Zurich): <b><a href='/seminar/978/'>The De Giorgi Conjecture for the Free Boundary Allen–Cahn Equation</a></b><br />
, 11:00<br />
</p>
<div style="font-size: smaller;"><p>The Allen–Cahn equation is known to approximate minimal surfaces. This connection led to the conjecture that global stable solutions of the Allen–Cahn equation should be one-dimensional in dimensions up to seven. If true, this statement would imply the celebrated De Giorgi conjecture for monotone solutions.
</p>
<p>Motivated by the geometric nature of the Allen–Cahn equation, Jerison has advocated for more than a decade that a free-boundary formulation provides a more natural framework for approximating minimal surfaces. This perspective leads to studying the above conjecture in the free-boundary setting.
</p>
<p>In recent joint work with Chan, Fernández-Real, and Serra, we classify all stable global solutions to the one-phase Bernoulli free-boundary problem in three dimensions. As a consequence, we show that global stable solutions to the free-boundary Allen–Cahn equation in three dimensions are one-dimensional.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Mészáros, Parker:</b> <a href='/paper/7607/'>Existence Theory for a Cross-Diffusion System with Independent Drifts: Mixing Dynamics</a></p>
<p><b> Terracini, Tortone, Vita:</b> <a href='/paper/7608/'>A priori Hölder estimates for equations degenerating on nodal sets</a></p>
<p><b> Carbotti:</b> <a href='/paper/7609/'>A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials</a></p>
<p><b> Barchiesi, Henao, Mora-Corral, Rodiac:</b> <a href='/paper/7610/'>A Lavrentiev phenomenon in the neo-Hookean model</a></p>
<p><b> Briani:</b> <a href='/paper/7611/'>On Hamilton Jacobi equations with time measurable Hamiltonians posed on a 1-dimensional junction</a></p>
<p><b> Goldman, Novaga, Prade:</b> <a href='/paper/7612/'>Young's law for a nonlocal isoperimetric model of charged capillarity droplets</a></p>
<p><b> Brusca, Donati, Scalabrino, Trifone, Voglino:</b> <a href='/paper/7613/'>$Γ$-convergence of convolution-type functionals for free discontinuity problems</a></p>
<p><b> Melillo, Reggiani:</b> <a href='/paper/7614/'>Cohesive Membranes under determinant constraints</a></p>
<p><b> Bessas, Guarino Lo Bianco, Schiattarella:</b> <a href='/paper/7615/'>Generalized BMO-type seminorms and vector-valued Sobolev functions</a></p>
<p><b> Cristoferi, Deutsch, Pignatelli:</b> <a href='/paper/7616/'>Low regularity potentials in heterogeneous Cahn--Hilliard functionals</a></p>
<h2>Modified Papers</h2>
<p><b> Aghili, Di Pietro, Ruffini:</b> <a href='/paper/4695/'>An hp-Hybrid High-Order method for variable diffusion on general meshes</a></p>
<p><b> De Masi:</b> <a href='/paper/5057/'>Rectifiability of the free boundary for varifolds</a></p>
<p><b> Brena, Pasqualetto, Pinamonti:</b> <a href='/paper/5826/'>Sobolev and BV functions on $\mathrm{RCD}$ spaces via the short-time behaviour of the heat kernel</a></p>
<p><b> Guo, Karagodin, Stepanov:</b> <a href='/paper/6002/'>Optimal functional product quantization</a></p>
<p><b> Barchiesi, Henao, Mora-Corral, Rodiac:</b> <a href='/paper/6268/'>A relaxation approach to the minimisation of the neo-Hookean energy in 3D</a></p>
<p><b> Davoli, Stefanelli:</b> <a href='/paper/6343/'>Level sets of solutions to the stationary Hamilton-Jakobi equation are John regular</a></p>
<p><b> Terracini, Tortone, Vita:</b> <a href='/paper/6531/'>A priori regularity estimates for equations degenerating on nodal sets</a></p>
<p><b> Brena, Decio:</b> <a href='/paper/6626/'>Unique continuation for area minimizing currents</a></p>
<p><b> Bossio, Rizzi, Rossi:</b> <a href='/paper/6750/'>Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups</a></p>
<p><b> Birindelli, Briani, Ishii:</b> <a href='/paper/6778/'>Test function approach to fully nonlinear equations in thin domains</a></p>
<p><b> Gallo, Mosconi, Squassina:</b> <a href='/paper/6842/'>Power law convergence and concavity for the logarithmic Schrödinger equation</a></p>
<p><b> Almi, Davoli, Kubin, Tasso:</b> <a href='/paper/6844/'>On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case</a></p>
<p><b> Birindelli, Briani, Ishii:</b> <a href='/paper/6889/'>Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition</a></p>
<p><b> Bulanyi:</b> <a href='/paper/6922/'>On the equivalence of static and dynamic weak optimal transport</a></p>
<p><b> Mennucci:</b> <a href='/paper/6945/'>Some fundamental results on Probabilities and Stochastic Processes in Infinite Dimensional Spaces and Manifolds</a></p>
<p><b> Brena, Decio, De Lellis:</b> <a href='/paper/7012/'>Remarks and Conjectures on Stationary Varifolds</a></p>
<p><b> Brena:</b> <a href='/paper/7134/'>Instability of the fundamental group for non-collapsed Ricci-limits</a></p>
<p><b> Gambicchia, Merlino, Ruffini, Talluri:</b> <a href='/paper/7146/'>Barycentric stability of nonlocal perimeters: the convex case</a></p>
<p><b> Chambolle, De Gennaro, Morini:</b> <a href='/paper/7150/'>Elementary discrete diffusion/redistancing schemes for the mean curvature flow</a></p>
<p><b> Carducci, Tortone:</b> <a href='/paper/7185/'>Smoothness and stability in the Alt-Phillips problem</a></p>
<p><b> Bartolucci, Hu, Jevnikar, Wei, Yang:</b> <a href='/paper/7247/'>A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions</a></p>
<p><b> Cecchin, Goffi:</b> <a href='/paper/7295/'>Convergence rates for the vanishing viscosity approximation of fully nonlinear, non-convex, second-order Hamilton-Jacobi equations via nonlinear convolutions</a></p>
<p><b> Tortone, Velichkov:</b> <a href='/paper/7355/'>Vectorial Bernoulli Problems and Free Boundary Systems</a></p>
<p><b> De Masi, Marchese:</b> <a href='/paper/7606/'>Lipschitz solvability of prescribed Jacobian and divergence for singular measures</a></p>
<h2>Open Positions</h2>
<p><a href="/position/1102/">ERC Postdoc position at Bocconi University, Milan</a> (deadline: Sun 29 March 2026)</p>
<p><a href="/position/1105/">PhD positions at the University of Bologna</a> (deadline: Mon 30 March 2026)</p>
<p><a href="/position/1109/">Postdoctoral position at IST Lisbon</a> (deadline: Mon 30 March 2026)</p>
<p><a href="/position/1094/">Call of interest - Post Doc positions in Trento [BRIDGE FIS-project]</a> (deadline: Tue 31 March 2026)</p>
<p><a href="/position/1103/">Postdoc position in sub-Riemannian geometry at SISSA</a> (deadline: Tue 31 March 2026)</p>
<p><a href="/position/1099/">Tenure-Track Position for Applied Analysis in Linz</a> (deadline: Wed 1 April 2026)</p>
<p><a href="/position/1106/">One postdoctoral position in Analysis (one year, Lisbon, Portugal)</a> (deadline: Wed 1 April 2026)</p>
<p><a href="/position/1097/">ERC Postdoc position at Bocconi University, Milan</a> (deadline: Sun 5 April 2026)</p>
<p><a href="/position/1107/">Expressions of interest for postdoc positions - FIS3 GEMS</a> (deadline: Sun 5 April 2026)</p>
<p><a href="/position/1104/">Assistant/Associate Professor in Mathematics in Jyväskylä</a> (deadline: Mon 6 April 2026)</p>
<p><a href="/position/1100/">Postdoc position in Calculus of Variations/PDE at IMPAN, Warsaw</a> (deadline: Wed 8 April 2026)</p>
<p><a href="/position/1108/">1-3 Postdoctoral positions at Jyväskylä</a> (deadline: Wed 15 April 2026)</p>
<p><a href="/position/1110/">PhD positions at Mathematics Münster</a> (deadline: Wed 15 April 2026)</p>
<p><a href="/position/1082/">Call expressions of interest for Professor in Mathematics at Università di Padova</a> (deadline: Thu 30 April 2026)</p>
<p><b>(new)</b> <a href="/position/1111/">Two-year postdoctoral position in Calc. Var and PDEs in Prague</a> (deadline: Thu 30 April 2026)</p>
<p><b>(new)</b> <a href="/position/1112/">Postdoc position in nonlinear analysis and functional inequalities in Madrid</a> (deadline: Thu 30 April 2026)</p>
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