Publications
Please see below for a list of publications from CMSA postdocs and visitors, written with the support of the CMSA. The articles are arranged alphabetically by last name of the CMSA members.
A
- Formal power series for asymptotically hyperbolic Bach-flat metrics
- Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes
- Asymptotically flat extensions with charge
- Existence and Uniqueness of Stationary Solutions in 5-Dimensional Minimal Supergravity
- Positive mass theorem for initial data sets with corners along a hypersurface
- The Molecular Clock of Neutral Evolution Can Be Accelerated or Slowed by Asymmetric Spatial Structure
- Games among relatives revisited
- Inclusive Fitness Theorizing Invokes Phenomena That Are Not Relevant for the Evolution of Eusociality
B
C
- Strategy selection for arbitrary initial condition
- Universality of Ghirlanda-Guerra identities and spin distributions in mixed p-spin models
- Wright-Fisher diffusions for evolutionary games with death-birth updating
D
E
F
Xu-Qian Fan
- Phase transition layers for inhomogeneous Allen-Cahn equation
- The Continuum Limit of Causal Fermion Systems
- Dynamical Gravitational Coupling as a Modified Theory of General Relativity
- The Fermionic Signature Operator and Quantum States in Rindler Space-Time
- Self-Adjointness of the Dirac Hamiltonian for a Class of Non-Uniformly Elliptic Boundary Value Problems
G
H
- Counting of holomorphic orbi-spheres in P12,2,2,2 and determinant equations
- Finite Group Actions on Lagrangian Floer Theory
- Lagrangian Floer Potential of Orbifold Spheres
- Localized Mirror Functor for Lagrangian Immersions and Homological Mirror Symmetry for $\mathbb{P}^1_{a,b,c}$
- Incompressible limit of solutions of multidimensional steady compressible Euler equations
- Subsonic-sonic limit of approximate solutions to multidimensional steady Euler equations
I
J
- Lone Wolves in Competitive Equilibria
- Strategy-Proofness of Worker-Optimal Matching with Continuously Transferable Utility
K
- Calabi-Yau manifolds of affine type A and open Yau-Zaslow formula via SYZ mirror symmetry
- Geometric transitions and SYZ mirror symmetry
- Calabi-Yau threefolds of type K (I): Classification
- Calabi-Yau threefolds of type K (II): Mirror Symmetry
- Calabi-Yau threefolds with infinite fundamental group, Calabi-Yau Manifolds and their Moduli 2014, Proceedings of Symposia in Pure Mathematics
- Weil-Petersson geometry on the space of Bridgeland stability conditions
- A non-backtracking Pólya’s theorem
- Perfect State Transfer on Graphs with a Potential
- Pretty good quantum state transfer in symmetric spinnetworks via magnetic field
- Two conjectures on strong embeddings and 2-isomorphism for graphs
- 2D Seiberg-like dualities with an adjoint matter
- 2D Seiberg-like dualities for orthogonal gauge groups
- On 3d Seiberg-like Dualities with Two Adjoints
- Big Data and Big Cities: The Promises and Limitations of Improved Measures of Urban Life
- Computer vision uncovers predictors of physical urban change
- The growing problem of patent trolling
- Strategy-proofness of worker-optimal matching with continuously transferable utility
- Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers
- Liang Kong, “A theory of 2+1D fermionic topological orders and fermionic/bosonic topological orders with symmetries
Mrinal Kumar
- On Multilinear Forms: Bias, Correlation, and Tensor Rank
- On top fan-in vs formal degree for depth-3 arithmetic circuits
- Some Closure Results for Polynomial Factorization and Applications
- Unbalancing sets and an almost quadratic lower bound for syntactically multilinear arithmetic circuits
L
- Building blocks for generalized heterotic/F-theory duality
- Heterotic String Compactification and New Vector Bundles
- Relation between large dimension operators and oscillator algebra of Young diagrams
- Isogeny Orbits in a Family of Abelian Varieties
- On Consistency and Sparsity for Sliced Inverse Regression in High Dimensions
- Signed Support Recovery for Single Index Models in High-Dimensions
M
- Modular-type functions attached to mirror quintic Calabi–Yau varieties
- Quasi-modular forms attached to elliptic curves: Hecke operators
- Hodge Cycles for Cubic Hypersurfaces
- Distance bounds for graphs with some negative Bakry-Émery curvature
- Rigidity properties of the hypercube via Bakry-Émery curvature
- Ollivier-Ricci idleness functions of graphs
N
- Lq-Spectrum of Self-Similar Measures with Overlaps in the Absence of Second-Order Identities
- Spectral Asymptotics of One-Dimensional Fractal Laplacians In the Absence of Second-Order Identities
- Two-sided sub-Gaussian estimates of heat kernals on intervals for self-similar measures with overlaps
- Heat Kernels on Forms of Defined on a Subgraph of a Complete Graph
- Estimates for Sums and Gaps of Eigenvalues of Laplacians on Measure Spaces
P
Q
R
- Lone Wolves in Competitive Equilibria
- Strategy-Proofness of Worker-Optimal Matching with Continuously Transferable Utility
S
- Noether’s second theorem and Ward identities for gauge symmetries
- Residual Local Supersymmetry and the Soft Gravitino
- “Soft Black Hole Absorption Rates as Conservation Laws
- Atiyah class and sheaf counting on local Calabi Yau fourfolds
- Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds
- Localized Donaldson-Thomas theory of surfaces
- On topological approach to local theory of surfaces in Calabi-Yau threefolds
- Nested Hilbert schemes on surfaces: Virtual fundamental class
- Stable pairs on nodal K3 fibrations
- Vertical D4-D2-D0 Bound States on K 3 Fibrations and Modularity
- Donaldson-Thomas Invariants of 2-Dimensional sheaves inside threefolds and modular forms
- Stacky GKM Graphs and Orbifold Gromov-Witten Theory
- Localized Donaldson-Thomas theory of surfaces
- Hilbert Schemes, Donaldson-Thomas Theory, Vafa-Witten and Seiberg Witten Theories
- An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrodinger equation
- Arm events in two-dimensional invasion percolation
- On the chemical distance in critical percolation
- On the Chemical Distance in Critical Percolation II
- On the Spectrum of Random Anti-symmetric and Tournament Matrices
- Strict inequality for the chemical distance exponent in two-dimensional critical percolation
T
- Multi-cellularity without cooperation
- The multi-tier structure of patterning networks increases access to positional information
- Only accessible information is useful: insights from gradient-mediated patterning
- Theoretical ecology without species
- The Aleksandrov-Bakelman-Pucci estimate and the Calabi-Yau equation
- The Monge-Ampère equation for non-integrable almost complex structures
- Nakamaye’s theorem on complex manifolds
- Regularity of envelopes in Kähler classes
- Restricted volumes on Kähler manifolds
- Smooth and Rough Positive Currents
- Higher-order estimates for collapsing Calabi-Yau Metrics
- Kummer Rigidity for K3 Surface Automorphism vis Ricci-Flat Metrics
U
- Complexified path integrals, exact saddles and supersymmetry
- Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence
V
- Colliding waves on a string in AdS3
- Segmented strings from a different angle
- Segmented strings coupled to a B-field
Sergiy Verstyuk
W
- Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions
- Quantum Statistics and Spacetime Surgery
- Tunneling Topological Vacua via Extended Operators: TQFT, Deconfined Domain Walls and Long-Range Entanglement in Various Dimensions
- New Higher Anomalies, SU(N) Yang-Mills Gauge Theory and ℂℙN−1 Sigma Model
- Non-Abelian Gauge Theories, Sigma Models, Higher Anomalies, Symmetries, and Cobordisms
- Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
- Higher Symmetry-Extension, Symmetry-Enriched TQFT and Adjoint QCD4
- Adjoint QCD4, Symmetry-Enriched TQFT and Higher Symmetry-Extension
- Quantum Yang-Mills 4d Theory and Time-Reversal Symmetric 5d Higher-Gauge TQFT: Anyonic-String/Brane Braiding Statistics to Topological Link Invariants
- A New SU(2) Anomaly
- Initial Layer and Relaxation Limit of Non-Isentropic Compressible Euler Equations with Damping
- Regularity Structure, Vorticity Layer and Convergence Rates of Inviscid Limit of Free Surface Navier-Stokes Equations with or without Surface Tension
- Full Regularity and Well-Posedness of the Nonlinear Unsteady Prandtl Equations with Robin or Dirichlet Boundary Condition
X
Y
- ADE String Chains and Mirror Symmetry
- Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
- Chiral algebra of Argyres-Douglas theory from M5 brane
- Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality
- M-strings in thermodynamic limit: Seiberg-Witten geometry
- Superconformal Index, BPS Monodromy and Chiral Algebras
- Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
- Symmetry Enrichment in Three-Dimensional Topological Phases
Z
- Global Solutions to the Gas-Vacuum Interface Problem of Isentropic Compressible Inviscid Flows with Damping in Spherically Symmetric Motions and Physical Vacuum
- On the Free Surface Motion of Highly Subsonic Heat-conducting Inviscid Flows
- On Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem