@article{9006,
  abstract     = {Cytoplasm is a gel-like crowded environment composed of various macromolecules, organelles, cytoskeletal networks, and cytosol. The structure of the cytoplasm is highly organized and heterogeneous due to the crowding of its constituents and their effective compartmentalization. In such an environment, the diffusive dynamics of the molecules are restricted, an effect that is further amplified by clustering and anchoring of molecules. Despite the crowded nature of the cytoplasm at the microscopic scale, large-scale reorganization of the cytoplasm is essential for important cellular functions, such as cell division and polarization. How such mesoscale reorganization of the cytoplasm is achieved, especially for large cells such as oocytes or syncytial tissues that can span hundreds of micrometers in size, is only beginning to be understood. In this review, we will discuss recent advances in elucidating the molecular, cellular, and biophysical mechanisms by which the cytoskeleton drives cytoplasmic reorganization across different scales, structures, and species.},
  author       = {Shamipour, Shayan and Caballero Mancebo, Silvia and Heisenberg, Carl-Philipp J},
  issn         = {18781551},
  journal      = {Developmental Cell},
  number       = {2},
  pages        = {P213--226},
  publisher    = {Elsevier},
  title        = {{Cytoplasm's got moves}},
  doi          = {10.1016/j.devcel.2020.12.002},
  volume       = {56},
  year         = {2021},
}

@article{9009,
  abstract     = {Recent advancements in live cell imaging technologies have identified the phenomenon of intracellular propagation of late apoptotic events, such as cytochrome c release and caspase activation. The mechanism, prevalence, and speed of apoptosis propagation remain unclear. Additionally, no studies have demonstrated propagation of the pro-apoptotic protein, BAX. To evaluate the role of BAX in intracellular apoptotic propagation, we used high speed live-cell imaging to visualize fluorescently tagged-BAX recruitment to mitochondria in four immortalized cell lines. We show that propagation of mitochondrial BAX recruitment occurs in parallel to cytochrome c and SMAC/Diablo release and is affected by cellular morphology, such that cells with processes are more likely to exhibit propagation. The initiation of propagation events is most prevalent in the distal tips of processes, while the rate of propagation is influenced by the 2-dimensional width of the process. Propagation was rarely observed in the cell soma, which exhibited near synchronous recruitment of BAX. Propagation velocity is not affected by mitochondrial volume in segments of processes, but is negatively affected by mitochondrial density. There was no evidence of a propagating wave of increased levels of intracellular calcium ions. Alternatively, we did observe a uniform increase in superoxide build-up in cellular mitochondria, which was released as a propagating wave simultaneously with the propagating recruitment of BAX to the mitochondrial outer membrane.},
  author       = {Grosser, Joshua A. and Maes, Margaret E and Nickells, Robert W.},
  issn         = {1573-675X},
  journal      = {Apoptosis},
  number       = {2},
  pages        = {132--145},
  publisher    = {Springer Nature},
  title        = {{Characteristics of intracellular propagation of mitochondrial BAX recruitment during apoptosis}},
  doi          = {10.1007/s10495-020-01654-w},
  volume       = {26},
  year         = {2021},
}

@article{9010,
  abstract     = {Availability of the essential macronutrient nitrogen in soil plays a critical role in plant growth, development, and impacts agricultural productivity. Plants have evolved different strategies for sensing and responding to heterogeneous nitrogen distribution. Modulation of root system architecture, including primary root growth and branching, is among the most essential plant adaptions to ensure adequate nitrogen acquisition. However, the immediate molecular pathways coordinating the adjustment of root growth in response to distinct nitrogen sources, such as nitrate or ammonium, are poorly understood. Here, we show that growth as manifested by cell division and elongation is synchronized by coordinated auxin flux between two adjacent outer tissue layers of the root. This coordination is achieved by nitrate‐dependent dephosphorylation of the PIN2 auxin efflux carrier at a previously uncharacterized phosphorylation site, leading to subsequent PIN2 lateralization and thereby regulating auxin flow between adjacent tissues. A dynamic computer model based on our experimental data successfully recapitulates experimental observations. Our study provides mechanistic insights broadening our understanding of root growth mechanisms in dynamic environments.},
  author       = {Ötvös, Krisztina and Marconi, Marco and Vega, Andrea and O’Brien, Jose and Johnson, Alexander J and Abualia, Rashed and Antonielli, Livio and Montesinos López, Juan C and Zhang, Yuzhou and Tan, Shutang and Cuesta, Candela and Artner, Christina and Bouguyon, Eleonore and Gojon, Alain and Friml, Jiří and Gutiérrez, Rodrigo A. and Wabnik, Krzysztof T and Benková, Eva},
  issn         = {14602075},
  journal      = {EMBO Journal},
  number       = {3},
  publisher    = {Embo Press},
  title        = {{Modulation of plant root growth by nitrogen source-defined regulation of polar auxin transport}},
  doi          = {10.15252/embj.2020106862},
  volume       = {40},
  year         = {2021},
}

@article{9020,
  abstract     = {We study dynamics and thermodynamics of ion transport in narrow, water-filled channels, considered as effective 1D Coulomb systems. The long range nature of the inter-ion interactions comes about due to the dielectric constants mismatch between the water and the surrounding medium, confining the electric filed to stay mostly within the water-filled channel. Statistical mechanics of such Coulomb systems is dominated by entropic effects which may be accurately accounted for by mapping onto an effective quantum mechanics. In presence of multivalent ions the corresponding quantum mechanics appears to be non-Hermitian. In this review we discuss a framework for semiclassical calculations for the effective non-Hermitian Hamiltonians. Non-Hermiticity elevates WKB action integrals from the real line to closed cycles on a complex Riemann surfaces where direct calculations are not attainable. We circumvent this issue by applying tools from algebraic topology, such as the Picard-Fuchs equation. We discuss how its solutions relate to the thermodynamics and correlation functions of multivalent solutions within narrow, water-filled channels. },
  author       = {Gulden, Tobias and Kamenev, Alex},
  issn         = {1099-4300},
  journal      = {Entropy},
  number       = {1},
  publisher    = {MDPI},
  title        = {{Dynamics of ion channels via non-hermitian quantum mechanics}},
  doi          = {10.3390/e23010125},
  volume       = {23},
  year         = {2021},
}

@phdthesis{9022,
  abstract     = {In the first part of the thesis we consider Hermitian random matrices. Firstly, we consider sample covariance matrices XX∗ with X having independent identically distributed (i.i.d.) centred entries. We prove a Central Limit Theorem for differences of linear statistics of XX∗ and its minor after removing the first column of X. Secondly, we consider Wigner-type matrices and prove that the eigenvalue statistics near cusp singularities of the limiting density of states are universal and that they form a Pearcey process. Since the limiting eigenvalue distribution admits only square root (edge) and cubic root (cusp) singularities, this concludes the third and last remaining case of the Wigner-Dyson-Mehta universality conjecture. The main technical ingredients are an optimal local law at the cusp, and the proof of the fast relaxation to equilibrium of the Dyson Brownian motion in the cusp regime.
In the second part we consider non-Hermitian matrices X with centred i.i.d. entries. We normalise the entries of X to have variance N −1. It is well known that the empirical eigenvalue density converges to the uniform distribution on the unit disk (circular law). In the first project, we prove universality of the local eigenvalue statistics close to the edge of the spectrum. This is the non-Hermitian analogue of the TracyWidom universality at the Hermitian edge. Technically we analyse the evolution of the spectral distribution of X along the Ornstein-Uhlenbeck flow for very long time
(up to t = +∞). In the second project, we consider linear statistics of eigenvalues for macroscopic test functions f in the Sobolev space H2+ϵ and prove their convergence to the projection of the Gaussian Free Field on the unit disk. We prove this result for non-Hermitian matrices with real or complex entries. The main technical ingredients are: (i) local law for products of two resolvents at different spectral parameters, (ii) analysis of correlated Dyson Brownian motions.
In the third and final part we discuss the mathematically rigorous application of supersymmetric techniques (SUSY ) to give a lower tail estimate of the lowest singular value of X − z, with z ∈ C. More precisely, we use superbosonisation formula to give an integral representation of the resolvent of (X − z)(X − z)∗ which reduces to two and three contour integrals in the complex and real case, respectively. The rigorous analysis of these integrals is quite challenging since simple saddle point analysis cannot be applied (the main contribution comes from a non-trivial manifold). Our result
improves classical smoothing inequalities in the regime |z| ≈ 1; this result is essential to prove edge universality for i.i.d. non-Hermitian matrices.},
  author       = {Cipolloni, Giorgio},
  issn         = {2663-337X},
  pages        = {380},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Fluctuations in the spectrum of random matrices}},
  doi          = {10.15479/AT:ISTA:9022},
  year         = {2021},
}

@article{9036,
  abstract     = {In this short note, we prove that the square root of the quantum Jensen-Shannon divergence is a true metric on the cone of positive matrices, and hence in particular on the quantum state space.},
  author       = {Virosztek, Daniel},
  issn         = {0001-8708},
  journal      = {Advances in Mathematics},
  keywords     = {General Mathematics},
  number       = {3},
  publisher    = {Elsevier},
  title        = {{The metric property of the quantum Jensen-Shannon divergence}},
  doi          = {10.1016/j.aim.2021.107595},
  volume       = {380},
  year         = {2021},
}

@article{9037,
  abstract     = {We continue our study of ‘no‐dimension’ analogues of basic theorems in combinatorial and convex geometry in Banach spaces. We generalize some results of the paper (Adiprasito, Bárány and Mustafa, ‘Theorems of Carathéodory, Helly, and Tverberg without dimension’, Proceedings of the Thirtieth Annual ACM‐SIAM Symposium on Discrete Algorithms (Society for Industrial and Applied Mathematics, San Diego, California, 2019) 2350–2360) and prove no‐dimension versions of the colored Tverberg theorem, the selection lemma and the weak  𝜀 ‐net theorem in Banach spaces of type  𝑝>1 . To prove these results, we use the original ideas of Adiprasito, Bárány and Mustafa for the Euclidean case, our no‐dimension version of the Radon theorem and slightly modified version of the celebrated Maurey lemma.},
  author       = {Ivanov, Grigory},
  issn         = {14692120},
  journal      = {Bulletin of the London Mathematical Society},
  number       = {2},
  pages        = {631--641},
  publisher    = {London Mathematical Society},
  title        = {{No-dimension Tverberg's theorem and its corollaries in Banach spaces of type p}},
  doi          = {10.1112/blms.12449},
  volume       = {53},
  year         = {2021},
}

@article{9038,
  abstract     = {Layered materials in which individual atomic layers are bonded by weak van der Waals forces (vdW materials) constitute one of the most prominent platforms for materials research. Particularly, polar vdW crystals, such as hexagonal boron nitride (h-BN), alpha-molybdenum trioxide (α-MoO3) or alpha-vanadium pentoxide (α-V2O5), have received significant attention in nano-optics, since they support phonon polaritons (PhPs)―light coupled to lattice vibrations― with strong electromagnetic confinement and low optical losses. Recently, correlative far- and near-field studies of α-MoO3 have been demonstrated as an effective strategy to accurately extract the permittivity of this material. Here, we use this accurately characterized and low-loss polaritonic material to sense its local dielectric environment, namely silica (SiO2), one of the most widespread substrates in nanotechnology. By studying the propagation of PhPs on α-MoO3 flakes with different thicknesses laying on SiO2 substrates via near-field microscopy (s-SNOM), we extract locally the infrared permittivity of SiO2. Our work reveals PhPs nanoimaging as a versatile method for the quantitative characterization of the local optical properties of dielectric substrates, crucial for understanding and predicting the response of nanomaterials and for the future scalability of integrated nanophotonic devices. },
  author       = {Aguilar-Merino, Patricia and Álvarez-Pérez, Gonzalo and Taboada-Gutiérrez, Javier and Duan, Jiahua and Prieto Gonzalez, Ivan and Álvarez-Prado, Luis Manuel and Nikitin, Alexey Y. and Martín-Sánchez, Javier and Alonso-González, Pablo},
  issn         = {20794991},
  journal      = {Nanomaterials},
  number       = {1},
  publisher    = {MDPI},
  title        = {{Extracting the infrared permittivity of SiO2 substrates locally by near-field imaging of phonon polaritons in a van der Waals crystal}},
  doi          = {10.3390/nano11010120},
  volume       = {11},
  year         = {2021},
}

@article{9046,
  author       = {Römhild, Roderich and Andersson, Dan I.},
  issn         = {15537374},
  journal      = {PLoS Pathogens},
  number       = {1},
  publisher    = {Public Library of Science},
  title        = {{Mechanisms and therapeutic potential of collateral sensitivity to antibiotics}},
  doi          = {10.1371/journal.ppat.1009172},
  volume       = {17},
  year         = {2021},
}

@article{9047,
  abstract     = {This work analyzes the latency of the simplified successive cancellation (SSC) decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang. It is shown that, unlike conventional successive cancellation decoding, where latency is linear in the block length, the latency of SSC decoding is sublinear. More specifically, the latency of SSC decoding is O(N1−1/μ) , where N is the block length and μ is the scaling exponent of the channel, which captures the speed of convergence of the rate to capacity. Numerical results demonstrate the tightness of the bound and show that most of the latency reduction arises from the parallel decoding of subcodes of rate 0 or 1.},
  author       = {Mondelli, Marco and Hashemi, Seyyed Ali and Cioffi, John M. and Goldsmith, Andrea},
  issn         = {15582248},
  journal      = {IEEE Transactions on Wireless Communications},
  number       = {1},
  pages        = {18--27},
  publisher    = {IEEE},
  title        = {{Sublinear latency for simplified successive cancellation decoding of polar codes}},
  doi          = {10.1109/TWC.2020.3022922},
  volume       = {20},
  year         = {2021},
}

@article{9048,
  abstract     = {The analogy between an equilibrium partition function and the return probability in many-body unitary dynamics has led to the concept of dynamical quantum phase transition (DQPT). DQPTs are defined by nonanalyticities in the return amplitude and are present in many models. In some cases, DQPTs can be related to equilibrium concepts, such as order parameters, yet their universal description is an open question. In this Letter, we provide first steps toward a classification of DQPTs by using a matrix product state description of unitary dynamics in the thermodynamic limit. This allows us to distinguish the two limiting cases of “precession” and “entanglement” DQPTs, which are illustrated using an analytical description in the quantum Ising model. While precession DQPTs are characterized by a large entanglement gap and are semiclassical in their nature, entanglement DQPTs occur near avoided crossings in the entanglement spectrum and can be distinguished by a complex pattern of nonlocal correlations. We demonstrate the existence of precession and entanglement DQPTs beyond Ising models, discuss observables that can distinguish them, and relate their interplay to complex DQPT phenomenology.},
  author       = {De Nicola, Stefano and Michailidis, Alexios and Serbyn, Maksym},
  issn         = {1079-7114},
  journal      = {Physical Review Letters},
  keywords     = {General Physics and Astronomy},
  number       = {4},
  publisher    = {American Physical Society},
  title        = {{Entanglement view of dynamical quantum phase transitions}},
  doi          = {10.1103/physrevlett.126.040602},
  volume       = {126},
  year         = {2021},
}

@phdthesis{9056,
  abstract     = {In this thesis we study persistence of multi-covers of Euclidean balls and the geometric structures underlying their computation, in particular Delaunay mosaics and Voronoi tessellations. The k-fold cover for some discrete input point set consists of the space where at least k balls of radius r around the input points overlap. Persistence is a notion that captures, in some sense, the topology of the shape underlying the input. While persistence is usually computed for the union of balls, the k-fold cover is of interest as it captures local density,
and thus might approximate the shape of the input better if the input data is noisy. To compute persistence of these k-fold covers, we need a discretization that is provided by higher-order Delaunay mosaics. We present and implement a simple and efficient algorithm for the computation of higher-order Delaunay mosaics, and use it to give experimental results for their combinatorial properties. The algorithm makes use of a new geometric structure, the rhomboid tiling. It contains the higher-order Delaunay mosaics as slices, and by introducing a filtration
function on the tiling, we also obtain higher-order α-shapes as slices. These allow us to compute persistence of the multi-covers for varying radius r; the computation for varying k is less straight-foward and involves the rhomboid tiling directly. We apply our algorithms to experimental sphere packings to shed light on their structural properties. Finally, inspired by periodic structures in packings and materials, we propose and implement an algorithm for periodic Delaunay triangulations to be integrated into the Computational Geometry Algorithms Library (CGAL), and discuss the implications on persistence for periodic data sets.},
  author       = {Osang, Georg F},
  issn         = {2663-337X},
  pages        = {134},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Multi-cover persistence and Delaunay mosaics}},
  doi          = {10.15479/AT:ISTA:9056},
  year         = {2021},
}

@article{9073,
  abstract     = {The sensory and cognitive abilities of the mammalian neocortex are underpinned by intricate columnar and laminar circuits formed from an array of diverse neuronal populations. One approach to determining how interactions between these circuit components give rise to complex behavior is to investigate the rules by which cortical circuits are formed and acquire functionality during development. This review summarizes recent research on the development of the neocortex, from genetic determination in neural stem cells through to the dynamic role that specific neuronal populations play in the earliest circuits of neocortex, and how they contribute to emergent function and cognition. While many of these endeavors take advantage of model systems, consideration will also be given to advances in our understanding of activity in nascent human circuits. Such cross-species perspective is imperative when investigating the mechanisms underlying the dysfunction of early neocortical circuits in neurodevelopmental disorders, so that one can identify targets amenable to therapeutic intervention.},
  author       = {Hanganu-Opatz, Ileana L. and Butt, Simon J. B. and Hippenmeyer, Simon and De Marco García, Natalia V. and Cardin, Jessica A. and Voytek, Bradley and Muotri, Alysson R.},
  issn         = {1529-2401},
  journal      = {The Journal of Neuroscience},
  keywords     = {General Neuroscience},
  number       = {5},
  pages        = {813--822},
  publisher    = {Society for Neuroscience},
  title        = {{The logic of developing neocortical circuits in health and disease}},
  doi          = {10.1523/jneurosci.1655-20.2020},
  volume       = {41},
  year         = {2021},
}

@unpublished{9082,
  abstract     = {Acquired mutations are sufficiently frequent such that the genome of a single cell offers a record of its history of cell divisions. Among more common somatic genomic alterations are loss of heterozygosity (LOH). Large LOH events are potentially detectable in single cell RNA sequencing (scRNA-seq) datasets as tracts of monoallelic expression for constitutionally heterozygous single nucleotide variants (SNVs) located among contiguous genes. We identified runs of monoallelic expression, consistent with LOH, uniquely distributed throughout the genome in single cell brain cortex transcriptomes of F1 hybrids involving different inbred mouse strains. We then phylogenetically reconstructed single cell lineages and simultaneously identified cell types by corresponding gene expression patterns. Our results are consistent with progenitor cells giving rise to multiple cortical cell types through stereotyped expansion and distinct waves of neurogenesis. Compared to engineered recording systems, LOH events accumulate throughout the genome and across the lifetime of an organism, affording tremendous capacity for encoding lineage information and increasing resolution for later cell divisions. This approach can conceivably be computationally incorporated into scRNA-seq analysis and may be useful for organisms where genetic engineering is prohibitive, such as humans.},
  author       = {Anderson, Donovan J. and Pauler, Florian and McKenna, Aaron and Shendure, Jay and Hippenmeyer, Simon and Horwitz, Marshall S.},
  booktitle    = {bioRxiv},
  publisher    = {Cold Spring Harbor Laboratory},
  title        = {{Simultaneous identification of brain cell type and lineage via single cell RNA sequencing}},
  doi          = {10.1101/2020.12.31.425016},
  year         = {2021},
}

@article{9093,
  abstract     = {We employ the Gross-Pitaevskii equation to study acoustic emission generated in a uniform Bose gas by a static impurity. The impurity excites a sound-wave packet, which propagates through the gas. We calculate the shape of this wave packet in the limit of long wave lengths, and argue that it is possible to extract properties of the impurity by observing this shape. We illustrate here this possibility for a Bose gas with a trapped impurity atom -- an example of a relevant experimental setup. Presented results are general for all one-dimensional systems described by the nonlinear Schrödinger equation and can also be used in nonatomic systems, e.g., to analyze light propagation in nonlinear optical media. Finally, we calculate the shape of the sound-wave packet for a three-dimensional Bose gas assuming a spherically symmetric perturbation.},
  author       = {Marchukov, Oleksandr and Volosniev, Artem},
  issn         = {2542-4653},
  journal      = {SciPost Physics},
  number       = {2},
  publisher    = {SciPost Foundation},
  title        = {{Shape of a sound wave in a weakly-perturbed Bose gas}},
  doi          = {10.21468/scipostphys.10.2.025},
  volume       = {10},
  year         = {2021},
}

@article{9094,
  abstract     = {Dendritic cells (DCs) are crucial for the priming of naive T cells and the initiation of adaptive immunity. Priming is initiated at a heterologous cell–cell contact, the immunological synapse (IS). While it is established that F-actin dynamics regulates signaling at the T cell side of the contact, little is known about the cytoskeletal contribution on the DC side. Here, we show that the DC actin cytoskeleton is decisive for the formation of a multifocal synaptic structure, which correlates with T cell priming efficiency. DC actin at the IS appears in transient foci that are dynamized by the WAVE regulatory complex (WRC). The absence of the WRC in DCs leads to stabilized contacts with T cells, caused by an increase in ICAM1-integrin–mediated cell–cell adhesion. This results in lower numbers of activated and proliferating T cells, demonstrating an important role for DC actin in the regulation of immune synapse functionality.},
  author       = {Leithner, Alexander F and Altenburger, LM and Hauschild, R and Assen, Frank P and Rottner, K and TEB, Stradal and Diz-Muñoz, A and Stein, JV and Sixt, Michael K},
  issn         = {1540-8140},
  journal      = {Journal of Cell Biology},
  number       = {4},
  publisher    = {Rockefeller University Press},
  title        = {{Dendritic cell actin dynamics control contact duration and priming efficiency at the immunological synapse}},
  doi          = {10.1083/jcb.202006081},
  volume       = {220},
  year         = {2021},
}

@article{9097,
  abstract     = {Psoriasis is a chronic inflammatory skin disease clinically characterized by the appearance of red colored, well-demarcated plaques with thickened skin and with silvery scales. Recent studies have established the involvement of a complex signalling network of interactions between cytokines, immune cells and skin cells called keratinocytes. Keratinocytes form the cells of the outermost layer of the skin (epidermis). Visible plaques in psoriasis are developed due to the fast proliferation and unusual differentiation of keratinocyte cells. Despite that, the exact mechanism of the appearance of these plaques in the cytokine-immune cell network is not clear. A mathematical model embodying interactions between key immune cells believed to be involved in psoriasis, keratinocytes and relevant cytokines has been developed. The complex network formed of these interactions poses several challenges. Here, we choose to study subnetworks of this complex network and initially focus on interactions involving TNFα, IL-23/IL-17, and IL-15. These are chosen based on known evidence of their therapeutic efficacy. In addition, we explore the role of IL-15 in the pathogenesis of psoriasis and its potential as a future drug target for a novel treatment option. We perform steady state analyses for these subnetworks and demonstrate that the interactions between cells, driven by cytokines could cause the emergence of a psoriasis state (hyper-proliferation of keratinocytes) when levels of TNFα, IL-23/IL-17 or IL-15 are increased. The model results explain and support the clinical potentiality of anti-cytokine treatments. Interestingly, our results suggest different dynamic scenarios underpin the pathogenesis of psoriasis, depending upon the dominant cytokines of subnetworks. We observed that the increase in the level of IL-23/IL-17 and IL-15 could lead to psoriasis via a bistable route, whereas an increase in the level of TNFα would lead to a monotonic and gradual disease progression. Further, we demonstrate how this insight, bistability, could be exploited to improve the current therapies and develop novel treatment strategies for psoriasis.},
  author       = {Pandey, Rakesh and Al-Nuaimi, Yusur and Mishra, Rajiv Kumar and Spurgeon, Sarah K. and Goodfellow, Marc},
  issn         = {20452322},
  journal      = {Scientific Reports},
  publisher    = {Springer Nature},
  title        = {{Role of subnetworks mediated by TNF α, IL-23/IL-17 and IL-15 in a network involved in the pathogenesis of psoriasis}},
  doi          = {10.1038/s41598-020-80507-7},
  volume       = {11},
  year         = {2021},
}

@article{9098,
  abstract     = {We study properties of the volume of projections of the n-dimensional
cross-polytope $\crosp^n = \{ x \in \R^n \mid |x_1| + \dots + |x_n| \leqslant 1\}.$ We prove that the projection of $\crosp^n$ onto a k-dimensional coordinate subspace has the maximum possible volume for k=2 and for k=3.
We obtain the exact lower bound on the volume of such a projection onto a two-dimensional plane. Also, we show that there exist local maxima which are not global ones for the volume of a projection of $\crosp^n$ onto a k-dimensional subspace for any n>k⩾2.},
  author       = {Ivanov, Grigory},
  issn         = {0012365X},
  journal      = {Discrete Mathematics},
  number       = {5},
  publisher    = {Elsevier},
  title        = {{On the volume of projections of the cross-polytope}},
  doi          = {10.1016/j.disc.2021.112312},
  volume       = {344},
  year         = {2021},
}

@article{9099,
  abstract     = {We show that on an Abelian variety over an algebraically closed field of positive characteristic, the obstruction to lifting an automorphism to a field of characteristic zero as a morphism vanishes if and only if it vanishes for lifting it as a derived autoequivalence. We also compare the deformation space of these two types of deformations.},
  author       = {Srivastava, Tanya K},
  issn         = {14208938},
  journal      = {Archiv der Mathematik},
  number       = {5},
  pages        = {515--527},
  publisher    = {Springer Nature},
  title        = {{Lifting automorphisms on Abelian varieties as derived autoequivalences}},
  doi          = {10.1007/s00013-020-01564-y},
  volume       = {116},
  year         = {2021},
}

@article{9100,
  abstract     = {Marine environments are inhabited by a broad representation of the tree of life, yet our understanding of speciation in marine ecosystems is extremely limited compared with terrestrial and freshwater environments. Developing a more comprehensive picture of speciation in marine environments requires that we 'dive under the surface' by studying a wider range of taxa and ecosystems is necessary for a more comprehensive picture of speciation. Although studying marine evolutionary processes is often challenging, recent technological advances in different fields, from maritime engineering to genomics, are making it increasingly possible to study speciation of marine life forms across diverse ecosystems and taxa. Motivated by recent research in the field, including the 14 contributions in this issue, we highlight and discuss six axes of research that we think will deepen our understanding of speciation in the marine realm: (a) study a broader range of marine environments and organisms; (b) identify the reproductive barriers driving speciation between marine taxa; (c) understand the role of different genomic architectures underlying reproductive isolation; (d) infer the evolutionary history of divergence using model‐based approaches; (e) study patterns of hybridization and introgression between marine taxa; and (f) implement highly interdisciplinary, collaborative research programmes. In outlining these goals, we hope to inspire researchers to continue filling this critical knowledge gap surrounding the origins of marine biodiversity.},
  author       = {Faria, Rui and Johannesson, Kerstin and Stankowski, Sean},
  issn         = {14209101},
  journal      = {Journal of Evolutionary Biology},
  number       = {1},
  pages        = {4--15},
  publisher    = {Wiley},
  title        = {{Speciation in marine environments: Diving under the surface}},
  doi          = {10.1111/jeb.13756},
  volume       = {34},
  year         = {2021},
}

