Issue 1

- On the size of divergence sets for the Schroedinger equation with radial data by Jonathan Bennett, and Keith M. Rogers
- Carleman estimates and necessary conditions for the existence of waveguides by Luca Fanelli, Luis Vega, and Luis Escauriaza
- Negligible variation and the change of variables theorem by Vermont Rutherfoord, and Yoram Sagher
- Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications by Xinfu Chen, and Yuan Lou
- Orlicz-Hardy spaces associated with divergence operators on unbounded strongly Lipschitz domains of $\mathbb{R}^n$ by Dachun Yang, and Sibei Yang
- The average rank of elliptic $n$-folds by and Remke Kloosterman
- Poincar\'e duality and degrees of twisted Alexander polynomials by Taehee Kim, Stefan Friedl, and Takahiro Kitayama
- Semiclassical limit for mixed states with singular and rough potentials by Alessio Figalli, Marilena Ligabo, and Thierry Paul
- A sharpened Schwarz-Pick operatorial inequality for nilpotent operators by and Haykel Gaaya
- Higher order infinitesimal freeness by and Maxime Fevrier
- The Schwarz-Pick lemma for slice regular functions by Cinzia Bisi, and Caterina Stoppato
- Boundary value problems for harmonic functions on a domain in the Sierpinski gasket by Justin Owen, and Robert S. Strichartz
- Involutive isometries, eigenvalue bounds and a spectral property of Clifford tori by Alessandro Savo, and Bruno Colbois
- Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions by Plamen Djakov, and Boris Mityagin
- Local Hoelder continuity for doubly nonlinear parabolic equations by Tuomo Kuusi, Juhana Siljander, and Jose Miguel Urbano
- Wermer type sets and extension of CR functions by Tobias Harz, Nikolay Shcherbina, and Giuseppe Tomassini

- Transverse instability for periodic waves of KP-I and Schroedinger equations by Zevdzhan Hakkaev, Milena Stanislavova, and Atanas Stefanov
- Degree growth of monomial maps and McMullen's polytope algebra by Charles Favre, and Elizabeth Wulcan
- Unitary equivalence to truncated Toeplitz operators by Dan Timotin, Elizabeth Strouse, and Mohamed Zarrabi
- Comparison results for capacity by Manuel Ritore, Ana Hurtado, and Vicente Palmer
- On the differentiability of the solution to an equation with drift and fractional diffusion by and Luis Silvestre
- Random sequences and pointwise convergence of multiple ergodic averages by Nikos Frantzikinakis, Emmanuel Lesigne, and Mate Wierdl
- Analogs of principal series representations for Thompson's groups $F$ and $T$ by and Lukasz Garncarek
- Blow-up set for a semilinear heat equation and pointedness of the initial data by Kazuhiro Ishige, and Yohei Fujishima
- Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions by Vladimir Bolotnikov, and Joseph A. Ball
- Inflectional loci of scrolls over smooth, projective varieties by Raquel Mallavibarrena, Antonio Lanteri, and Ragni Piene
- Sharp $L^p$-bounds for a small perturbation of Burkholder's martingale transform by Nicholas Boros, Prabhu Janakiraman, and Alexander Volberg
- Spectra of integration operators and weighted square functions by Jose Angel Pelaez, and Alexandru Aleman
- Principal parts of operators in the $\bar{\partial}$-Neumann problem on strictly pseudoconvex non-smooth domains by Dariush Ehsani, and Ingo Lieb
- Curvature-adapted submanifolds of symmetric spaces by and Thomas Murphy
- The monophonic number of Cartesian product graphs by A.P. Santhakumaran, and S.V. Ullas Chandran
- Null quadrature domains and a free boundary problem for the Laplacian by Lavi Karp, and Avmir Margulis

- The Hardy-Littlewood maximal type operators between Banach function spaces by Mieczyslaw Mastylo, and Carlos Perez
- Dihedral coverings of trigonal curves by and Alex Degtyarev
- Critical points of Green's function and geometric function theory by Bjorn Gustafsson, and Ahmed Sebbar
- Resolution of singularities for a class of Hilbert modules by Shibananda Biswas, and Gadadhar Misra
- Sharp L^p estimates on BMO by Leonid Slavin, and Vasily Vasyunin
- On a move reducing the genus of a knot diagram by Kenji Daikoku, Keiichi Sakai, and Masamichi Takase
- Compact stable constant mean curvature surfaces in homogeneous 3-manifolds by Francisco Torralbo, and Francisco Urbano
- Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds by and Jingzhou Sun
- Global solvability of the Cauchy problem for the Landau-Lifshitz-Gilbert equation in higher dimensions by and Christof Melcher
- On Rees algebras and invariants for singularities over perfect fields by Ana Bravo, Mariluz Garcia-Escamilla, and Orlando E. Villamayor U.
- Splitting algebras and Schubert calculus by Dan Laksov, and Anders Thorup
- Rigid characterizations of pseudoconvex domains by Nikolai Nikolov, and Pascal J. Thomas
- A minimal surface with one limit end and unbounded curvature by and Martin Traizet
- Spectral distribution of the free Jacobi process by Nizar Demni, Tarek Hamdi, and Taoufik Hmidi
- Amenability properties of Rajchman algebras by and Mahya Ghandehari

- The Toeplitz corona problem for algebras of multipliers on a Nevanlinna-Pick space by Ryan Hamilton, and Mrinal Raghupathi
- The Poletsky-Rosay theorem on singular complex spaces by Barbara Drinovec Drnovsek, and Franc Forstneric
- Curvature densities of self-similar sets by Jan Rataj, and Martina Zahle
- Nonexistence of traveling waves for a nonlocal Gross--Pitaevskii equation by and Andre de Laire
- Weighted estimates in a limited range with applications to the Bochner-Riesz operators by Maria J. Carro, Javier Duoandikoetxea, and Maria Lorente
- Minimizing the mass of the codimension two skeleton of convex, unit volume polyhedra by and Ryan C. Scott
- Quantitative uniqueness for Schroedinger operator by and Laurent Bakri
- Algebraic properties of the module of slice regular functions in several quaternionic variables by Fabrizio Colombo, Irene Sabadini, and Daniele Struppa
- The critical locus for complex Henon maps by and Tanya Firsova
- Killing potentials with geodesic gradients on Kaehler surfaces by and Andrzej Derdzinski
- Two-ended hypersurfaces with $H_r=0$ by Henrique Araujo, and Maria Luiza Leite
- Convergence in shape of Steiner symmetrizations by Gabriele Bianchi, Almut Burchard, Paolo Gronchi, and Aljosa Volcic

- Small BGK waves and nonlinear Landau damping (higher dimensions) by Zhiwu Lin, and Chongchun Zeng
- Large vorticity stable solutions to the Ginzburg-Landau Equations by Andres Contreras, and Sylvia Serfaty
- B\"ottcher Coordinates by Xavier Buff, Adam Epstein, and Sarah Koch
- A decomposition for Hardy martingales by and Paul Muller
- Solutions to a free boundary problem of fluid-structure interaction by Igor Kukavica, and Amjad Tuffaha
- On compound vortices in a two-component Ginzburg-Landau functional by Stan Alama, Lia Bronsard, and Petru Mironescu
- On reduced amalgamated free products of C*-algebras and the MF property by and Jonas Seebach
- Conductor Sobolev-type estimates and isocapacitary inequalities by Joan Cerda, Joaquim Martin, and Pilar Silvestre
- Geometric configurations in the ring of integers modulo p^{ell} by David Covert, Alex Iosevich, and Jonathan Pakianathan
- Non-radial singular solutions of Lane-Emden equations in $R^N$ by E.N. Dancer, Zongming Guo, and Juncheng Wei
- Dissipative models generalizing the 2D Navier-Stokes and the Surface Quasi-Geostrophic Equations by Dongho Chae, Peter Constantin, and Jiahong Wu

- Degenerate characteristic directions for maps tangent to the identity by and Liz Vivas
- The Ap-Ainfty inequality for general Calderon-Zygmund operators by Tuomas P Hytonen, and Michael Lacey
- On instability for the quintic nonlinear Schrodinger equation of some approximate periodic solutions by Jeremy Marzuola, and Scipio Cuccagna
- Buffon's needle landing near Besicovitch irregular self-similar sets by Matthew Bond, and Alexander Volberg
- Projective hulls and characterizations of meromorphic functions by John Anderson, Joseph Cima, Norman Levenberg, and Thomas Ransford
- Dispersive estimates for Schroedinger operators with measure-valued potentials in R^3 by and Michael Goldberg
- On the operator space $OUMD$ property for the column Hilbert space $C$ by and Yanqi Qiu
- Global solutions to the heat flow for $m$-harmonic maps and regularity by Verena Boegelein, Frank Duzaar, and Christoph Scheven
- On partial regularity of steady-state solutions to the 6D Navier-Stokes equations by Hongjie Dong, and Robert M. Strain
- Spacefilling curves and phases of the Loewner equation by Joan Lind, and Steffen Rohde
- Lorentzian varifolds and applications to relativistic strings by Giovanni Bellettini, Matteo Novaga, and Giandomenico Orlandi