[1] The quantization of gravity

[2] Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions

[3] Existence of Multi-dimensional Contact Discontinuities for the Ideal Compressible Magnetohydrodynamics

[4] A GLSM view on homological projective duality

[5] A note on phase transitions for the Smoluchowski equation with dipolar potential

[6] Morrey spaces in harmonic analysis

[7] The Principle of the Fermionic Projector

[8] Comments on AdS_2 Gravity

[9] A review of geometric, topological and graph theory apparatuses for the modeling and analysis of biomolecular data

[10] Calabi-Yau manifolds with isolated conical singularities

[11] A unified field theory II: Gravity interacting with a Yang-Mills and Higgs field

[12] Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy

[13] Quasi-local mass at the null infinity of the Vaidya spacetime

[14] Deriving a complete set of eigendistributions for a gravitational wave equation describing the quantized interaction of gravity with a Yang-Mills field in case the Cauchy hypersurface is non-compact

[15] The Continuum Limit of Causal Fermion Systems

[16] The quantization of a black hole

[17] BV quantization of the Rozansky-Witten model

[18] A simple approach for bubble modelling from multiphase fluid simulation

[19] Yang-Baxter relation planar algebras

[20] Time Reversal, SU(N) Yang-Mills and Cobordisms: Interacting Topological Superconductors/Insulators and Quantum Spin Liquids in 3+1D

[21] Mirror Symmetry for Plane Cubics Revisited

[22] A Path-Integral Approach to Bayesian Inference for Inverse Problems Using the Semiclassical Approximation

[23] Universal hierarchical structure of quasiperiodic eigenfunctions

[24] An efficient numerical algorithm for computing the positive dense spectrum of the transmission eigenvalue problem with complex media

[25] A New SU(2) Anomaly

[26] Cubic forms, anomaly cancellation and modularity

[27] Flow Field Modulation

[28] De Finetti theorems for braided parafermions

[29] Batalin-Vilkovisky quantization and the algebraic index

[30] A Minkowski type inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold

[31] Chiral Gravity in Three Dimensions

[32] Minkowski formulae and Alexandrov theorems in spacetime

[33] Twisted supergravity and its quantization

[34] A unified quantization of gravity and other fundamental forces of nature

[35] Conserved quantities in general relativity: from the quasi-local level to spatial infinity

[36] Non-Abelian Gauge Theories, Sigma Models, Higher Anomalies, Symmetries, and Cobordisms I: Classification of Higher-Symmetry Protected Topological States and Higher Anomalies via a generalized cobordism theory

[37] A Hierarchical Kinetic Theory of Birth, Death and Fission in Age-Structured Interacting Populations

[38] The Grothendieck Ring of a Family of Spherical Categories

[39] Equivalent descriptions of the Loewner energy

[40] Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond

[41] Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms

[42] Simulating Gaseous Fluids with Low and High Speeds

[43] Chiral Gravity, Log Gravity and Extremal CFT

[44] Uniqueness of non-linear ground states for fractional Laplacians in $${\mathbb{R}}$$

[45] Antisymmetric characters and Fourier duality

[46] The rest mass of an asymptotically Anti-de Sitter spacetime

[47] Tunneling Topological Vacua via Extended Operators: TQFT Spectra and Boundary Deconfinement in Various Dimensions

[48] Real-time High-fidelity Surface Flow Simulation

[49] The Kerr/CFT Correspondence

[50] On locally constructible spheres and balls

[51] Vertex algebras and quantum master equation

[52] LG/CY Correspondence for Elliptic Orbifold Curves via Modularity

[53] Quantized Graphs and Quantum Error Correction

[54] Parabolic Presentations of the Super Yangian Y(glM|N) Associated with Arbitrary 01-Sequences

[55] Heterotic String Compactifications and New Vector Bundles

[56] Observables and Microscopic Entropy of Higher Spin Black Holes

[57] Super McShane Identity

[58] Global Well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional Compressible Navier-Stokes equations

[59] The linear stability of the Schwarzschild solution to gravitational perturbations

[60] Solitary waves bifurcated from Bloch-band edges in two- dimensional periodic media

[61] Binlinear identities and Hirota's bilinear forms for an extended Kadomtsev-Petviashvili hierarchy

[62] Higher dimensional generalizations of twistor spaces

[63] Warped $rm AdSsb 3$ black holes

[64] The second order upper bound for the ground energy of a Bose gas

[65] A Weak gravity conjecture for scalar field theories

[66] Weak gravity conjecture in the asymptotical dS and AdS background

[67] Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media

[68] The global non-linear stability of the Kerr–de Sitter family of black holes

[69] Multiple-fluid SPH Simulation Using a Mixture Model

[70] Gromov--Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda Hierarchies

[71] Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

[72] Transport information geometry I: Riemannian calculus on probability simplex

[73] The quantization of a Kerr-AdS black hole

[74] B-branes and supersymmetric quivers in 2d

[75] The quantization of gravity: The quantization of the full Einstein equations

[76] Identifiability of Age-Dependent Branching Processes from Extinction Probabilities and Number Distributions

[77] A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime

[78] New Boundary Conditions for AdS3

[79] A proposal for nonabelian (0,2) mirrors

[80] Recent advances in determinant quantum Monte Carlo

[81] The Spectrum of Strings on Warped AdS_3 x S^3

[82] Non-Abelian String and Particle Braiding in Topological Order: Modular SL(3,Z) Representation and 3+1D Twisted Gauge Theory

[83] Nonhexagonal lattices from a two species interacting system

[84] A Wozniakowski, and AM Jaffe, Quon 3D language for quantum information

[85] A One loop problem of the matrix big bang model

[86] Applying quantum gravity to cosmology

[87] A unified quantization of gravity and other fundamental forces of nature implies a big bang on the quantum level

[88] Rigidity and minimizing properties of quasi-local mass

[89] Detecting topology change via correlations and entanglement from gauge/gravity correspondence

[90] Graph duality as an instrument of Gauge-String correspondence

[91] Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold

[92] On the formation of trapped surfaces

[93] Quasilocal angular momentum and center of mass in general relativity

[94] Quasi-local energy with respect to a static spacetime

[95] Mirror symmetry for exceptional unimodular singularities

[96] Target Identification Using Dictionary Matching of Generalized Polarization Tensors

[97] Finite W -Superalgebras and Truncated Super Yangians

[98] Bogoliubov theory in the Gross–Pitaevskii limit

[99] Reconstruction of a persistent random walk from exit time distributions

[100] Hessian metric via transport information geometry

[101] Un-twisting the NHEK with spectral flows

[102] The quantum development of an asymptotically Euclidean Cauchy hypersurface

[103] Proof of an entropy conjecture for Bloch coherent spin states and its generalizations

[104] The Kerr-Fermi Sea

[105] Random band matrices in the delocalized phase, II: Generalized resolvent estimates

[106] Multiphase SPH Simulation for Interactive Fluids and Solids

[107] On the proof of the positive mass conjecture in general relativity

[108] On rationality for C_2-cofinite vertex operator algebras

[109] Persistence of freeness for Lie pseudogroup actions

[110] Proof of the positive mass theorem. II

[111] Pairwise Force SPH Model for Real-Time Multi-Interaction Applications

[112] Generalized Gravitational Entropy for Warped Anti-de Sitter Space

[113] Unwinding Short-Range Entanglement

[114] Microscopics of Extremal Kerr from Spinning M5 Branes

[115] Shock waves and cosmological matrix models

[116] Black Hole Superradiance From Kerr/CFT

[117] Structure Constants from Modularity in Warped CFT

[118] On the validity of the definition of angular momentum in general relativity

[119] Weak null singularities in general relativity

[120] From Atiyah Classes to Homotopy Leibniz Algebras

[121] Alternating Arm Exponents for the Critical Planar Ising Model

[122] Comment on `Cosmological Topological Massive Gravitons and Photons'

[123] Frequency domain analysis of fluctuations of mRNA and protein copy numbers within a cell lineage: theory and experimental validation

[124] D-brane Construction of the 5D NHEK Dual

[125] A fast selected inversion algorithm for Green's function calculation in many-body quantum Monte Carlo simulations

[126] Quantum Yang-Mills 4d Theory and Time-Reversal Symmetric 5d Higher-Gauge TQFT: Anyonic-String/Brane Braiding Statistics to Topological Link Invariants

[127] Some low dimensional evidence for the weak gravity conjecture

[128] Quantizing strings in de Sitter space

[129] On shifted super Yangians and a class of finite W -superalgebras

[130] Trace class estimates and applications

[131] Infima of superharmonic functions

[132] Geometry of hyper-Khler connections with torsion

[133] A network flow model for the genesis and migration of gas phase

[134] Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature

[135] A classification of semilocal vortices in a Chern-Simons theory.

[136] Chiral Liouville Gravity

[137] Parabolic Presentations of the Super Yangian Y (glM|N)

[138] Conserved Quantities of harmonic asymptotic initial data sets

[139] Conserved quantities on asymptotically hyperbolic initial data sets

[140] On topological approach to local theory of surfaces in Calabi-Yau threefolds

[141] Evolution of angular momentum and center of mass at null infinity

[142] Weighted estimates for the Laplacian on the cubic lattice

[143] N=2 super-Teichmuller theory

[144] Actual Morphing: A phsical-based approach for blending two 2D/3D shapes

[145] The quantization of gravity: Quantization of the Hamilton equations

[146] Impurity-induced antiferromagnetic domains in the periodic Anderson model

[147] \mathcal{W} symmetry and integrability of higher spin black holes

[148] On Ramond Decorations

[149] Ribbon tensor structure on the full representation categories of the singlet vertex algebras

[150] Rigidity around Poisson submanifolds

[151] The dynamics of gas‑bubble formation at saturated conditions in porous media flow

[152] Warped AdS3/Dipole-CFT Duality

[153] A Robust Proof of the Instability of Naked Singularities of a Scalar Field in Spherical Symmetry

[154] Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy

[155] Macroscopic models of collective motion and self-organization

[156] Symplectic Cohomologies on Phase Space

[157] Global bifurcation of steady gravity water waves with critical layers

[158] Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin

[159] Generalized Gravitational Entropy for Warped Anti-de Sitter Space

[160] Convergence analysis of the particle method for the Camassa-Holm equation

[161] Discrete KP equation with self-consistent sources

[162] Equidistribution of points via energy

[163] A lower bound on the ground state energy of dilute Bose gas

[164] Macroscopic limits and phase transition in a system of self-propelled particles

[165] Direct limit completions of vertex tensor categories

[166] Evaluating small sphere limit of the Wang-Yau quasi-local energy

[167] Argyres-Douglas matter and N= 2 dualities

[168] Proof of the positive mass theorem. 2.

[169] Modifications to Holographic Entanglement Entropy in Warped CFT

[170] Schrodinger Fermi Liquids

[171] Symmetry-protected many-body Aharonov-Bohm effect

[172] Boundary Degeneracy of Topological Order

[173] Free Energies of Dilute Bose Gases: Upper Bound

[174] Morphing Based on Strain Field Interpolation

[175] Adjoint QCD4, Deconfined Critical Phenomena, Symmetry-Enriched Topological Quantum Field Theory, and Higher Symmetry-Extension

[176] Ising model with Curie-Weiss perturbation

[177] Ground state energy of the low density Hubbard model

[178] The Lieb-Liniger model as a limit of dilute bosons in three dimensions

[179] Arithmetic properties of mirror map and quantum coupling

[180] On semisimplicity of module categories for finite non-zero index vertex operator subalgebras

[181] Tensor categories for vertex operator superalgebra extensions

[182] Multi-kink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF theory

[183] Calabi-Yau four-folds for M-and F-theory compactifications

[184] A Unified Particle System Framework for Multi-Phase, Multi-Material Visual Simulations

[185] An axial gauge ansatz for higher spin theories

[186] Irreducibility of the Fermi variety for discrete periodic Schr\"odinger operators and embedded eigenvalues

[187] A geometric construction of representations of the Berezin-Toeplitz quantization

[188] Tensor structure on the Kazhdan-Lusztig category for affine gl(1|1)

[189] Gluing vertex algebras

[190] The theory of superstring with flux on non-Khler manifolds and the complex Monge-Ampere equation

[191] Structure of Virasoro tensor categories at central charge 13−6p−6/p for integers p>1

[192] Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations

[193] Obstructions to the existence of SasakiEinstein metrics

[194] Correlation Functions of Warped CFT

[195] Emergence of step flow from atomistic scheme of epitaxial growth in 1+1 dimensions

[196] Evaluating small sphere limit of the wangyau quasi-local energy

[197] Elliptic operators with honeycomb symmetry: Dirac points, Edge States and Applications to Photonic Graphene

[198] The energy and the linear momentum of space-times in general relativity

[199] BPS states, string duality, and nodal curves on K3

[200] The ground state energy of dilute Bose gas in potentials with positive scattering length

[201] Twisted Gauge Theory Model of Topological Phases in Three Dimensions

[202] Bosonic Anomalies, Induced Fractional Quantum Numbers and Degenerate Zero Modes: the anomalous edge physics of Symmetry-Protected Topological States

[203] Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces

[204] Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity

[205] Symmetry-protected topological phases with charge and spin symmetries: response theory and dynamical gauge theory in 2D, 3D and the surface of 3D

[206] Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation

[207] 4d N= 2 SCFT and singularity theory Part III: Rigid singularity

[208] Mirror symmetry is T-duality

[209] D-type fiber-base duality

[210] Quantum Statistics and Spacetime Surgery

[211] Quantum sheaf cohomology on Grassmannians

[212] Decay of solutions of the wave equation in the Kerr geometry

[213] New N= 2 dualities

[214] Mordell-Weil Torsion, Anomalies, and Phase Transitions

[215] Reheating and cosmic string production

[216] Small resolutions of SU (5)-models in F-theory

[217] Chiral algebra of Argyres-Douglas theory from M5 brane. preprint

[218] On the bound states of magnetic Laplacians on wedges

[219] The existence of supersymmetric string theory with torsion

[220] Connectedness of the boundary in the AdS/CFT correspondence

[221] Graph invariant from ideas in quantum field theory

[222] Regularized Integrals on Riemann Surfaces and Modular Forms

[223] Special polynomial rings, quasi modular forms and duality of topological strings

[224] Aharonov and Bohm versus Welsh eigenvalues

[225] Absence of zero energy states in reduced SU (N) 3d supersymmetric Yang Mills theory

[226] Local mirror symmetry: calculations and interpretations

[227] Entanglement and mixed states of Young tableau states in gauge/gravity correspondence

[228] Positivity of quasi-local mass II

[229] Quon language: surface algebras and Fourier duality

[230] Coherent state superpositions, entanglement and gauge/gravity correspondence

[231] Twisted modules and G-equivariantization in logarithmic conformal field theory

[232] Airy equation for the topological string partition function in a scaling limit

[233] Nontrivial Azumaya noncommutative schemes, morphisms therefrom, and their extension by the sheaf of algebras of differential operators: D-branes in a B-field

[234] Adiabatic isometric mapping algorithm for embedding 2-surfaces in Euclidean 3-space

[235] SasakiEinstein manifolds and volume minimisation