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

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

[5] Tensor categories for vertex operator superalgebra extensions

[6] A GLSM view on homological projective duality

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

[8] Calabi-Yau manifolds with isolated conical singularities

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

[10] An sl_2-type tensor category for the Virasoro algebra at central charge 25 and applications

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

[12] 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

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

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

[15] New Boundary Conditions for AdS3

[16] Morrey spaces in harmonic analysis

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

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

[19] Twisted supergravity and its quantization

[20] The Kerr/CFT Correspondence

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

[22] Warped $rm AdSsb 3$ black holes

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

[24] Hessian metric via transport information geometry

[25] Mirror Symmetry for Plane Cubics Revisited

[26] The effect of free boundary conditions on the Ising model in high dimensions

[27] Batalin-Vilkovisky quantization and the algebraic index

[28] Yang-Baxter relation planar algebras

[29] Direct limit completions of vertex tensor categories

[30] Heterotic String Compactifications and New Vector Bundles

[31] On ribbon categories for singlet vertex algebras

[32] Chiral Gravity in Three Dimensions

[33] Universal hierarchical structure of quasiperiodic eigenfunctions

[34] Cubic forms, anomaly cancellation and modularity

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

[36] Geometry of hyper-Khler connections with torsion

[37] Equivalent descriptions of the Loewner energy

[38] Ising model with Curie-Weiss perturbation

[39] Vertex algebras and quantum master equation

[40] Super McShane Identity

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

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

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

[44] Chiral Gravity, Log Gravity and Extremal CFT

[45] Exponential decay for the near-critical scaling limit of the planar Ising model

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

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

[48] The Principle of the Fermionic Projector

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

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

[51] Comments on AdS_2 Gravity

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

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

[54] 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

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

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

[57] Construction and Classification of Symmetry-Protected Topological Phases in Interacting Fermion Systems

[58] On the tensor structure of modules for compact orbifold vertex operator algebras

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

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

[61] Unwinding Short-Range Entanglement

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

[63] The quantization of a black hole

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

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

[66] Minkowski formulae and Alexandrov theorems in spacetime

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

[68] A New SU(2) Anomaly

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

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

[71] Quantized Graphs and Quantum Error Correction

[72] De Finetti theorems for braided parafermions

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

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

[75] BV quantization of the Rozansky-Witten model

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

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

[78] The Continuum Limit of Causal Fermion Systems

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

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

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

[82] From Atiyah Classes to Homotopy Leibniz Algebras

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

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

[85] Nonhexagonal lattices from a two species interacting system

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

[87] Flow Field Modulation

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

[89] Topological Quantum Field Theory for Abelian Topological Phases and Loop Braiding Statistics in (3+1)-Dimensions

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

[91] Gluing vertex algebras

[92] Radiative transfer and diffusion limits for wave field correlations in locally shifted random media

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

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

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

[96] Antisymmetric characters and Fourier duality

[97] Black Hole Superradiance From Kerr/CFT

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

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

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

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

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

[103] Recent advances in determinant quantum Monte Carlo

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

[105] Boundary Degeneracy of Topological Order

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

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

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

[109] 4d N= 2 SCFT and singularity theory Part I: Classification

[110] On locally constructible spheres and balls

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

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

[113] Vertex algebraic intertwining operators among generalized Verma modules for affine Lie algebras

[114] Higher dimensional generalizations of twistor spaces

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

[116] Regularized Integrals on Riemann Surfaces and Modular Forms

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

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

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

[120] A Weak gravity conjecture for scalar field theories

[121] Conserved quantities on asymptotically hyperbolic initial data sets

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

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

[124] Transition probabilities of normal states determine the Jordan structure of a quantum system

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

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

[127] Conserved Quantities of harmonic asymptotic initial data sets

[128] Proof of the positive mass theorem. II

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

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

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

[132] Simulating Gaseous Fluids with Low and High Speeds

[133] Weak null singularities in general relativity

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

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

[136] Finite W -Superalgebras and Truncated Super Yangians

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

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

[139] Bogoliubov theory in the Gross–Pitaevskii limit

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

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

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

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

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

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

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

[147] Quon language: surface algebras and Fourier duality

[148] Multiphase SPH Simulation for Interactive Fluids and Solids

[149] On the formation of trapped surfaces

[150] Mirror symmetry for exceptional unimodular singularities

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

[152] Schrodinger Fermi Liquids

[153] New N= 2 dualities

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

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

[156] Structure Constants from Modularity in Warped CFT

[157] The Kerr-Fermi Sea

[158] Towards a complete classification of non-chiral topological phases in 2D fermion systems

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

[160] Discrete KP equation with self-consistent sources

[161] Applying quantum gravity to cosmology

[162] Quantum sheaf cohomology on Grassmannians

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

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

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

[166] Trace class estimates and applications

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

[168] Mirror symmetry is T-duality

[169] Computing Classification of Interacting Fermionic Symmetry-Protected Topological Phases Using Topological Invariants

[170] Shock waves and cosmological matrix models

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

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

[173] Mirror maps, modular relations and hypergeometric series II

[174] SasakiEinstein manifolds and volume minimisation

[175] N=2 super-Teichmuller theory

[176] Arithmetic properties of mirror map and quantum coupling

[177] Infima of superharmonic functions

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

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

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

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

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

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

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

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

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

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

[188] Energy-momentum surface density and quasilocal mass in general relativity

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

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

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

[192] Linear and nonlinear electromagnetic waves in modulated honeycomb media

[193] Microscopics of Extremal Kerr from Spinning M5 Branes

[194] Un-twisting the NHEK with spectral flows

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

[196] Persistence of freeness for Lie pseudogroup actions

[197] A note on ODEs from mirror symmetry

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

[199] On Ramond Decorations

[200] Exactly solvable lattice models for interacting electronic insulators in two dimensions

[201] D-branes and Azumaya/matrix noncommutative differential geometry, II: Azumaya/matrix supermanifolds and differentiable maps therefrom--with a view toward dynamical fermionic D

[202] K stability and stability of chiral ring

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

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

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

[206] 4d N= 2 SCFT and singularity theory Part III: Rigid singularity

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

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

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

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

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

[212] Warped AdS3/Dipole-CFT Duality

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

[214] Einstein manifolds with zero Ricci curvature

[215] Graph invariant from ideas in quantum field theory

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

[217] Local mirror symmetry: calculations and interpretations

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

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

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

[221] More Toda-like (0,2) mirrors

[222] A Mathematical Picture Language Project

[223] Quantum graphs with the Bethe-Sommerfeld property

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

[225] Positivity of quasi-local mass II

[226] Quantizing strings in de Sitter space

[227] Local law of addition of random matrices on optimal scale

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

[229] Chiral Liouville Gravity

[230] Symplectic Cohomologies on Phase Space

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

[232] Rigidity around Poisson submanifolds

[233] Positivity of the Bondi mass in Bondi's radiating spacetimes

[234] SeibergWitten Differential via Primitive Forms

[235] Reflection Positivity and Levin-Wen Models

[236] Equidistribution of points via energy

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

[238] Quantum Statistics and Spacetime Surgery

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

[240] Towards a Complete Classification of Symmetry-Protected Topological Phases for Interacting Fermions in Three Dimensions and a General Group Supercohomology Theory

[241] An axial gauge ansatz for higher spin theories

[242] Obstructions to the existence of SasakiEinstein metrics

[243] Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint

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

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

[246] D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck

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

[248] Morphing Based on Strain Field Interpolation

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

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

[251] Finiteness of subfamilies of Calabi-Yau n-folds over curves with maximal length of Yukawa-coupling

[252] Modifications to Holographic Entanglement Entropy in Warped CFT

[253] D-type fiber-base duality

[254] Quasilocal energy-momentum at null infinity

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

[256] D5 elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory

[257] Invariant solutions to the Strominger system on complex Lie groups and their quotients

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

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

[260] Non-Khler Calabi-Yau manifolds

[261] Reheating and cosmic string production

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

[263] The electromagnetic Christodoulou memory effect and its application to neutron star binary mergers

[264] C= 2 rational toroidal conformal field theories via the Gauss product

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

[266] The existence of supersymmetric string theory with torsion

[267] Correlation Functions of Warped CFT

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

[269] Smooth static solutions of the Einstein-Yang/Mills equations

[270] Time-periodic solutions of the Einsteins field equations III: physical singularities

[271] A new model for elliptic fibrations with a rank one Mordell-Weil group: I. Singular fibers and semi-stable degenerations

[272] Quantum sheaf cohomology and duality of flag manifolds

[273] The theory of superstring with flux on non-Khler manifolds and the complex Monge-Ampere equation. 2006

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

[275] An integral spectral representation of the propagator for the wave equation in the Kerr geometry

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

[277] The interaction of Dirac particles with non-abelian gauge fields and gravity-black holes

[278] Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordstrm black hole background

[279] Duality and Fibrations on G_2 Manifolds

[280] A Continuous Family of Equilibria in Ferromagnetic Media are Ground States

[281] ADE string chains and mirror symmetry

[282] Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut

[283] A rigorous treatment of energy extraction from a rotating black hole

[284] 4d N= 2 SCFT and singularity theory Part II: Complete intersection

[285] The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry

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

[287] Non-Khler SYZ mirror symmetry

[288] Holographic software for quantum networks

[289] Quantum tunneling on graphs

[290] Topological string partition functions as polynomials

[291] The Candelas-de la Ossa-Green-Parkes formula

[292] D0-brane realizations of the resolution of a reduced singular curve

[293] Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-Grothendieck

[294] Existence of black hole solutions for the Einstein-Yang/Mills equations

[295] A rigorous derivation of multicomponent diffusion laws

[296] Null asymptotics of solutions of the EinsteinMaxwell equations in general relativity and gravitational radiation

[297] Non-Abelian Three-Loop Braiding Statistics for 3D Fermionic Topological Phases

[298] Localization and conjectures from string duality

[299] Branes, bundles and attractors: Bogomolov and beyond, 2006

[300] An estimate of the gap of the first two eigenvalues in the Schrdinger operator

[301] New Heterotic Non-Kahler Geometries

[302] Non-Existence of Black Hole Solutions for a Spherically Symmetric, Static EinsteinDiracMaxwell System

[303] Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills Equations with complete fermion shells

[304] Existence of supersymmetric Hermitian metrics with torsion on non-Khler manifolds

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

[306] Gravitational anomaly cancellation and modular invariance

[307] Conserved quantities in general relativity: from the quasi-local level to spatial infinity.(2013)

[308] Aharonov and Bohm versus Welsh eigenvalues

[309] On the existence of bound states in asymmetric leaky wires

[310] Spectrum of a dilated honeycomb network

[311] Some recent progress in classical general relativity

[312] Deformations with Maximal Supersymmetries Part 1: On-shell Formulation

[313] Constructive simulation and topological design of protocols

[314] Surveys in differential geometry: differential geometry inspired by string theory

[315] An Estimate of the Gap of the First Two Eigenvalues in the Schr\" odinger Operator

[316] A family of quantum graph vertex couplings interpolating between different symmetries

[317] Prime density triangle -A mathematical framework deriving nuclear magic numbers, shell gap and subshell structures

[318] Quantum graphs with vertices of a preferred orientation

[319] New definition of quasilocal mass and its positivity

[320] Positivity of quasilocal mass

[321] Three-fold Weyl points in the Schrödinger operator with periodic potentials

[322] 4d N= 2 SCFT from complete intersection singularity

[323] Time-periodic solutions of the Einsteins field equations II: geometric singularities

[324] Semiclassical bounds in magnetic bottles

[325] Yukawa couplings on quintic threefolds

[326] Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics

[327] A geometric Iwatsuka type effect in quantum layers

[328] Smooth static solutions of the Einstein/Yang-Mills equations

[329] Exponential-polynomial root means derived from the prime density triangle: an elementary approach to √m