Geodesic

Aspects of Calabi–Yau Integrable and Hitchin Systems
Coadjoint Orbits of Lie Algebras and Cartan Class
Note on Character Varieties and Cluster Algebras
Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
Solution of an Open Problem about Two Families of Orthogonal Polynomials
Open Problems for Painlevé Equations
Supersingular Elliptic Curves and Moonshine
Homogeneous Real $(2,3,5)$ Distributions with Isotropy
On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
Studying Deformations of Fuchsian Representations with Higgs Bundles
Decomposition of some Witten–Reshetikhin–Turaev Representations into Irreducible Factors
The Kashaev Equation and Related Recurrences
Block-Separation of Variables: a Form of Partial Separation for Natural Hamiltonians
Generalised Umbral Moonshine
A Geometric Approach to the Concept of Extensivity in Thermodynamics
The $q$-Borel Sum of Divergent Basic Hypergeometric Series ${}_r\varphi_s(a;b;q,x)$
Ghostpeakons and Characteristic Curves for the Camassa–Holm, Degasperis–Procesi and Novikov Equations
Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space
Linear Representations and Frobenius Morphisms of Groupoids
Braid Group Action on Affine Yangian
Almost Lie Algebroids and Characteristic Classes
On a Yang–Mills Type Functional
$\tau$-Functions, Birkhoff Factorizations and Difference Equations
On Higgs Bundles on Nodal Curves
A Solvable Deformation of Quantum Mechanics
Contravariant Form on Tensor Product of Highest Weight Modules
A Short Guide to Orbifold Deconstruction
Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice
The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
A Self-Dual Integral Form of the Moonshine Module
A Family of $\mathrm{GL}_r$ Multiplicative Higgs Bundles on Rational Base
Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3
$p$-Adic Properties of Hauptmoduln with Applications to Moonshine
Jacobian Conjecture via Differential Galois Theory
An Introduction to Higgs Bundles via Harmonic Maps
Construction of Intertwining Operators between Holomorphic Discrete Series Representations
Generalised Darboux–Koenigs Metrics and 3-Dimensional Superintegrable Systems
The Laurent Extension of Quantum Plane: a Complete List of $U_q(\mathfrak{sl}_2)$-Symmetries
Higgs Bundles and Geometric Structures on Manifolds
Duality between Final-Seed and Initial-Seed Mutations in Cluster Algebras
Hecke Operators on Vector-Valued Modular Forms
Classification of Rank 2 Cluster Varieties
A Note on Spectral Triples on the Quantum Disk
A Variational Perspective on Continuum Limits of ABS and Lattice GD Equations
Lax Representations for Separable Systems from Benenti Class
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin
Rational KdV Potentials and Differential Galois Theory
Invariants in Separated Variables: Yang–Baxter, Entwining and Transfer Maps
Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers
On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
De Rham 2-Cohomology of Real Flag Manifolds
BPS Spectra, Barcodes and Walls
Orthogonal Dualities of Markov Processes and Unitary Symmetries
Interpolations between Jordanian Twists Induced by Coboundary Twists
Differential Galois Theory and Isomonodromic Deformations
Invariant Nijenhuis Tensors and Integrable Geodesic Flows
Ricci Flow and Volume Renormalizability
Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification
Third Homology of some Sporadic Finite Groups
Wavepackets on de Sitter Spacetime
Loop Equations for Gromov–Witten Invariant of $\mathbb{P}^1$
Integrable Modifications of the Ito–Narita–Bogoyavlensky Equation
Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
Lagrangian Grassmannians and Spinor Varieties in Characteristic Two
Multiparameter Schur $Q$-Functions Are Solutions of the BKP Hierarchy
Scalar Products in Twisted XXX Spin Chain. Determinant Representation
Ergodic Decomposition for Inverse Wishart Measures on Infinite Positive-Definite Matrices
Vertex Models and Spin Chains in Formulas and Pictures
Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations
Holomorphic Distributions and Connectivity by Integral Curves of Distributions
Stratified Bundles on Curves and Differential Galois Groups in Positive Characteristic
Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles
A Kähler Compatible Moyal Deformation of the First Heavenly Equation
Combinatorial Expressions for the Tau Functions of $q$-Painlevé V and III Equations
Twisted de Rham Complex on Line and Singular Vectors in $\widehat{{\mathfrak{sl}_2}}$ Verma Modules
Momentum Sections in Hamiltonian Mechanics and Sigma Models
Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras
The Transition Function of $G_2$ over $S^6$
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
A Note on the Derivatives of Isotropic Positive Definite Functions on the Hilbert Sphere
One Parameter Family of Jordanian Twists
Collective Heavy Top Dynamics
Knapp–Stein Type Intertwining Operators for Symmetric Pairs II. – The Translation Principle and Intertwining Operators for Spinors
Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
The Ramificant Determinant
On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations
Variations for Some Painlevé Equations
Symplectic Frieze Patterns
Quasi-Polynomials and the Singular $[Q,R]=0$ Theorem
Locally Nilpotent Derivations of Free Algebra of Rank Two
Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators
Three-Dimensional Mirror Self-Symmetry of the Cotangent Bundle of the Full Flag Variety
Bi-Hamiltonian Systems in (2+1) and Higher Dimensions Defined by Novikov Algebras
Cohomology of Restricted Filiform Lie Algebras ${\mathfrak m}_2^\lambda(p)$
The Real Jacobi Group Revisited
Fun Problems in Geometry and Beyond
Exact Bohr–Sommerfeld Conditions for the Quantum Periodic Benjamin–Ono Equation
Higher Rank Relations for the Askey–Wilson and $q$-Bannai–Ito Algebra
Picard–Vessiot Extensions of Real Differential Fields
Commuting Ordinary Differential Operators and the Dixmier Test