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

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

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

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

[5] Universal hierarchical structure of quasiperiodic eigenfunctions

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

[7] Quantized Graphs and Quantum Error Correction

[8] Yang-Baxter relation planar algebras

[9] Antisymmetric characters and Fourier duality

[10] A Mathematical Picture Language Project

[11] Reflection Positivity and Levin-Wen Models

[12] De Finetti theorems for braided parafermions

[13] Quantum tunneling on graphs

[14] Quon language: surface algebras and Fourier duality

[15] Holographic software for quantum networks

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

[17] Constructive simulation and topological design of protocols

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

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

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

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

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

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

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

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

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

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

[28] Ising model with Curie-Weiss perturbation

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

[30] Quantum sheaf cohomology on Grassmannians

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

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

[33] A GLSM view on homological projective duality

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

[35] Quantum sheaf cohomology and duality of flag manifolds

[36] A rigorous derivation of multicomponent diffusion laws

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

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

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

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

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

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

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

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

[45] On ribbon categories for singlet vertex algebras

[46] Direct limit completions of vertex tensor categories

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

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

[49] Gluing vertex algebras

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

[51] Tensor categories for vertex operator superalgebra extensions

[52] Regularized Integrals on Riemann Surfaces and Modular Forms

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

[54] Equivalent descriptions of the Loewner energy

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

[56] Cubic forms, anomaly cancellation and modularity

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

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

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

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

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

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

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

[64] Nonhexagonal lattices from a two species interacting system

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

[66] Hessian metric via transport information geometry

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

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

[69] Graph invariant from ideas in quantum field theory

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

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

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

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

[74] Quasilocal energy-momentum at null infinity

[75] SeibergWitten Differential via Primitive Forms

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

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

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

[79] Some recent progress in classical general relativity

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

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

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

[83] 4d N= 2 SCFT and singularity theory Part III: Rigid singularity

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

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

[86] New definition of quasilocal mass and its positivity

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

[88] D-type fiber-base duality

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

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

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

[92] ADE string chains and mirror symmetry

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

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

[95] K stability and stability of chiral ring

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

[97] Einstein manifolds with zero Ricci curvature

[98] Non-Khler SYZ mirror symmetry

[99] New N= 2 dualities

[100] 4d N= 2 SCFT from complete intersection singularity

[101] Yukawa couplings on quintic threefolds

[102] 4d N= 2 SCFT and singularity theory Part II: Complete intersection

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

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

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

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

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

[108] Non-Khler Calabi-Yau manifolds

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

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

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

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

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

[114] New Heterotic Non-Kahler Geometries

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

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

[117] A note on ODEs from mirror symmetry

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

[119] 4d N= 2 SCFT and singularity theory Part I: Classification

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

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

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

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

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

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

[126] Positivity of quasi-local mass II

[127] Duality and Fibrations on G_2 Manifolds

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

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

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

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

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

[133] Obstructions to the existence of SasakiEinstein metrics

[134] Topological string partition functions as polynomials

[135] The existence of supersymmetric string theory with torsion

[136] Arithmetic properties of mirror map and quantum coupling

[137] Positivity of quasilocal mass

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

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

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

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

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

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

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

[145] Local mirror symmetry: calculations and interpretations

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

[147] SasakiEinstein manifolds and volume minimisation

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

[149] Proof of the positive mass theorem. II

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

[151] Mirror symmetry is T-duality

[152] Localization and conjectures from string duality

[153] Gravitational anomaly cancellation and modular invariance

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

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

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

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

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

[159] Bogoliubov theory in the Gross–Pitaevskii limit

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

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

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

[163] Geometry of hyper-Khler connections with torsion

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

[165] A geometric Iwatsuka type effect in quantum layers

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

[167] Quantum graphs with the Bethe-Sommerfeld property

[168] Quantum graphs with vertices of a preferred orientation

[169] Aharonov and Bohm versus Welsh eigenvalues

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

[171] Semiclassical bounds in magnetic bottles

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

[173] Spectrum of a dilated honeycomb network

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

[175] On Ramond Decorations

[176] N=2 super-Teichmuller theory

[177] Structure Constants from Modularity in Warped CFT

[178] Correlation Functions of Warped CFT

[179] Super McShane Identity

[180] 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

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

[182] Boundary Degeneracy of Topological Order

[183] Schrodinger Fermi Liquids

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

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

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

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

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

[189] Unwinding Short-Range Entanglement

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

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

[192] A New SU(2) Anomaly

[193] Weak null singularities in general relativity

[194] Applying quantum gravity to cosmology

[195] Trace class estimates and applications

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

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

[198] Calabi-Yau manifolds with isolated conical singularities

[199] Batalin-Vilkovisky quantization and the algebraic index

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[215] Mirror symmetry for exceptional unimodular singularities

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

[217] Shock waves and cosmological matrix models

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

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

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

[221] A Weak gravity conjecture for scalar field theories

[222] Quantizing strings in de Sitter space

[223] Reheating and cosmic string production

[224] Chiral Gravity in Three Dimensions

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

[226] Warped $rm AdSsb 3$ black holes

[227] The Kerr/CFT Correspondence

[228] Chiral Gravity, Log Gravity and Extremal CFT

[229] Black Hole Superradiance From Kerr/CFT

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

[231] The Kerr-Fermi Sea

[232] Microscopics of Extremal Kerr from Spinning M5 Branes

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

[234] Warped AdS3/Dipole-CFT Duality

[235] Un-twisting the NHEK with spectral flows

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

[237] Chiral Liouville Gravity

[238] New Boundary Conditions for AdS3

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

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

[241] An axial gauge ansatz for higher spin theories

[242] Comments on AdS_2 Gravity

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

[244] Modifications to Holographic Entanglement Entropy in Warped CFT

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

[246] Heterotic String Compactifications and New Vector Bundles

[247] Higher dimensional generalizations of twistor spaces

[248] Symplectic Cohomologies on Phase Space

[249] From Atiyah Classes to Homotopy Leibniz Algebras