[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] A GLSM view on homological projective duality

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

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

[6] Morrey spaces in harmonic analysis

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

[8] Calabi-Yau manifolds with isolated conical singularities

[9] Comments on AdS_2 Gravity

[10] The Principle of the Fermionic Projector

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

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

[13] 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

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

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

[16] Cubic forms, anomaly cancellation and modularity

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

[18] 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

[19] A New SU(2) Anomaly

[20] Yang-Baxter relation planar algebras

[21] The quantization of a black hole

[22] BV quantization of the Rozansky-Witten model

[23] Mirror Symmetry for Plane Cubics Revisited

[24] The Continuum Limit of Causal Fermion Systems

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

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

[27] Batalin-Vilkovisky quantization and the algebraic index

[28] Universal hierarchical structure of quasiperiodic eigenfunctions

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

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

[31] Chiral Gravity in Three Dimensions

[32] Twisted supergravity and its quantization

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

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

[35] De Finetti theorems for braided parafermions

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

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

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

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

[40] Minkowski formulae and Alexandrov theorems in spacetime

[41] Flow Field Modulation

[42] Chiral Gravity, Log Gravity and Extremal CFT

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

[44] Equivalent descriptions of the Loewner energy

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

[46] Super McShane Identity

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

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

[49] The Kerr/CFT Correspondence

[50] On locally constructible spheres and balls

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

[52] Antisymmetric characters and Fourier duality

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

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

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

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

[57] Vertex algebras and quantum master equation

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

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

[60] Recent advances in determinant quantum Monte Carlo

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

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

[63] Quantized Graphs and Quantum Error Correction

[64] Warped $rm AdSsb 3$ black holes

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

[66] Simulating Gaseous Fluids with Low and High Speeds

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

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

[69] Nonhexagonal lattices from a two species interacting system

[70] Heterotic String Compactifications and New Vector Bundles

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

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

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

[74] A Weak gravity conjecture for scalar field theories

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

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

[77] New Boundary Conditions for AdS3

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

[79] Higher dimensional generalizations of twistor spaces

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

[81] Hessian metric via transport information geometry

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

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

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

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

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

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

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

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

[90] Bogoliubov theory in the Gross–Pitaevskii limit

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

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

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

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

[95] Proof of the positive mass theorem. II

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

[97] Shock waves and cosmological matrix models

[98] On the formation of trapped surfaces

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

[100] Mirror symmetry for exceptional unimodular singularities

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

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

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

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

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

[106] Finite W -Superalgebras and Truncated Super Yangians

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

[108] Applying quantum gravity to cosmology

[109] Tensor categories for vertex operator superalgebra extensions

[110] Unwinding Short-Range Entanglement

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

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

[113] Direct limit completions of vertex tensor categories

[114] Un-twisting the NHEK with spectral flows

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

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

[117] The Kerr-Fermi Sea

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

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

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

[121] From Atiyah Classes to Homotopy Leibniz Algebras

[122] Conserved quantities on asymptotically hyperbolic initial data sets

[123] Black Hole Superradiance From Kerr/CFT

[124] Geometry of hyper-Khler connections with torsion

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

[126] Microscopics of Extremal Kerr from Spinning M5 Branes

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

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

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

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

[131] Persistence of freeness for Lie pseudogroup actions

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

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

[134] Structure Constants from Modularity in Warped CFT

[135] Ising model with Curie-Weiss perturbation

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

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

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

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

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

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

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

[143] Trace class estimates and applications

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

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

[146] Weak null singularities in general relativity

[147] Quantizing strings in de Sitter space

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

[149] Infima of superharmonic functions

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

[151] Multiphase SPH Simulation for Interactive Fluids and Solids

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

[153] Chiral Liouville Gravity

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

[155] Conserved Quantities of harmonic asymptotic initial data sets

[156] N=2 super-Teichmuller theory

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

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

[159] Rigidity around Poisson submanifolds

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

[161] On Ramond Decorations

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

[163] Symplectic Cohomologies on Phase Space

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

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

[166] Schrodinger Fermi Liquids

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

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

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

[170] Warped AdS3/Dipole-CFT Duality

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

[172] Gluing vertex algebras

[173] Boundary Degeneracy of Topological Order

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

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

[176] Equidistribution of points via energy

[177] Discrete KP equation with self-consistent sources

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

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

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

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

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

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

[184] Mirror symmetry is T-duality

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

[186] Obstructions to the existence of SasakiEinstein metrics

[187] 4d N= 2 SCFT and singularity theory Part III: Rigid singularity

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

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

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

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

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

[193] Modifications to Holographic Entanglement Entropy in Warped CFT

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

[195] Local mirror symmetry: calculations and interpretations

[196] Arithmetic properties of mirror map and quantum coupling

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

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

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

[200] Morphing Based on Strain Field Interpolation

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

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

[203] SasakiEinstein manifolds and volume minimisation

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

[205] An axial gauge ansatz for higher spin theories

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

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

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

[209] New N= 2 dualities

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

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

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

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

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

[215] On ribbon categories for singlet vertex algebras

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

[217] Quon language: surface algebras and Fourier duality

[218] Quantum Statistics and Spacetime Surgery

[219] Correlation Functions of Warped CFT

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

[221] Quantum sheaf cohomology on Grassmannians

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

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

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

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

[226] The existence of supersymmetric string theory with torsion

[227] 4d N= 2 SCFT and singularity theory Part II: Complete intersection

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

[229] Graph invariant from ideas in quantum field theory

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

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

[232] Regularized Integrals on Riemann Surfaces and Modular Forms

[233] D-type fiber-base duality

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

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

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

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

[238] SeibergWitten Differential via Primitive Forms

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

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

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

[242] Positivity of quasi-local mass II

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

[244] Reheating and cosmic string production

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

[246] Topological string partition functions as polynomials

[247] Non-Khler SYZ mirror symmetry

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

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

[250] Duality and Fibrations on G_2 Manifolds

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

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

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

[254] Aharonov and Bohm versus Welsh eigenvalues

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

[256] Non-Khler Calabi-Yau manifolds

[257] Localization and conjectures from string duality

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

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

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

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

[262] Quasilocal energy-momentum at null infinity

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

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

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

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

[267] Quantum graphs with the Bethe-Sommerfeld property

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

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

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

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

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

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

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

[275] K stability and stability of chiral ring

[276] ADE string chains and mirror symmetry

[277] 4d N= 2 SCFT and singularity theory Part I: Classification

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

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

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

[281] Quantum graphs with vertices of a preferred orientation

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

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

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

[285] Gravitational anomaly cancellation and modular invariance

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

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

[288] Some recent progress in classical general relativity

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

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

[291] Positivity of quasilocal mass

[292] A Mathematical Picture Language Project

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

[294] New Heterotic Non-Kahler Geometries

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

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

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

[298] New definition of quasilocal mass and its positivity

[299] Quantum sheaf cohomology and duality of flag manifolds

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

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

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

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

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

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

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

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

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

[309] Spectrum of a dilated honeycomb network

[310] A note on ODEs from mirror symmetry

[311] Constructive simulation and topological design of protocols

[312] Einstein manifolds with zero Ricci curvature

[313] Quantum tunneling on graphs

[314] A rigorous derivation of multicomponent diffusion laws

[315] Holographic software for quantum networks

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

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

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

[319] Reflection Positivity and Levin-Wen Models

[320] 4d N= 2 SCFT from complete intersection singularity

[321] Semiclassical bounds in magnetic bottles

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

[323] Yukawa couplings on quintic threefolds

[324] A geometric Iwatsuka type effect in quantum layers

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

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

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