# 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
- Geometric Inequalities for Quasi-Local Masses
- A localized spacetime Penrose inequality and horizon detection with quasi-local mass
- Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space
- Stable Surfaces and Free Boundary Marginally Outer Trapped Surfaces
- A Minkowski inequality for Horowitz-Myers geon
- Rich Extra Dimensions Are Hidden Inside Black Holes

- 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**

- The Doran-Harder-Thompson conjecture for toric complete intersections
- Geometric Variations of Local Systems and Elliptic Surfaces

**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**

**Xinqi Gong**

**H**

- Counting of holomorphic orbi-spheres in P
^{1}_{2,2,2,2}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

- On the Theory of Implicit Deep Learning: Global Convergence with Implicit Layers
- How Does Mixup Help With Robustness and Generalization?
- Graphmix: Regularized training of graph neural networks for semi-supervised learning
- A Recipe for Global Convergence Guarantee in Deep Neural Networks
- When and How Mixup Improves Calibration
- CAC: A Clustering Based Framework for Classification
- Towards Domain-Agnostic Contrastive Learning
- Tailoring: encoding inductive biases by optimizing unsupervised objectives at prediction time

- 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

- Geometry and analysis of the Yang-Mills-Higgs-Dirac model
- Super $J$-holomorphic Curves: Construction of the Moduli Space

- 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
- Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility
- Collusion in Markets with Syndication
- Patent Trolls: Evidence from Targeted Firms
- Full Substitutability
- Ridesharing with Driver Location Preferences
- Optimizing Reserves in School Choice: A Dynamic Programming Approach
- Allocation for Social Good: Auditing Mechanisms for Utility Maximization
- Reserve Design: Unintended Consequences and The Demise of Boston’s Walk Zones
- A Theory of Intergenerational Mobility
- Strategy-Proofness of Worker-Optimal Matching with Continuously Transferable Utility
- Orienteering for Electioneering
- “Troll” Check? A Proposal for Administrative Review of Patent Litigation
- Computer Vision Uncovers Predictors of Physical Urban Change
- The Parable of the Auctioneer: Complexity in Paul R. Milgrom’s Discovering Prices
- Good Markets (Really Do) Make Good Neighbors
- An Invitation to Market Design
- Stable and Strategy-Proof Matching with Flexible Allotments
- Redistribution through Markets
- Stability, Strategy-Proofness, and Cumulative Offer Mechanisms
- Chain Stability in Trading Networks
- Taxation in Matching Markets
- Comparative Statics for Size-Dependent Discounts in Matching Markets
- To Thine Own Self Be True? Incentive Problems in Personalized Law
- Lone Wolves in Competitive Equilibria

- 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
- Global Shifted Potentials for Moduli Spaces of Sheaves on Calabi Yau Four-Folds
- Shifted Symplectic Structures on aDerived Quot-Stacks
- Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes
- Higher rank flag sheaves on Surfaces and Vafa-Witten invariants
- Super $J$-holomorphic Curves: Construction of the Moduli Space
- Super quantum cohomology I: Super stable maps of genuszero with Neveu-Schwarz punctures
- Elliptic stable envelopes and hypertoric loop spaces
- Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds II (the stable locus)
- Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces

- 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
- Geometry of Twisted Kahler-Einstein Metrics and Collapsing
- Ricci-flat Metrics and Dynamics on K3 Surfaces
- Collapsing Calabi-Yau Manifolds
- Diameter Bounds for Degenerating Calabi-Yau Manifolds
- Smooth Asymptotics for Collapsing Calabi-Yau Manifolds
- Canonical Currents and Heights for K3 Surfaces

**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
- A New SU(2) Anomaly
- Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory
- Higher Anomalies, Higher Symmetries, and Cobordisms I: Classification of Higher-Symmetry-Protected Topological States and Their Boundary Fermionic/Bosonic Anomalies via a Generalized Cobordism Theory
- Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon
- Strong planar subsystem symmetry-protected topological phases and their dual fracton orders
- Higher Anomalies, Higher Symmetries, and Cobordisms II: Applications to Quantum Gauge Theories
- Higher Anomalies, Higher Symmetries, and Cobordisms III: QCD Matter Phases Anew
- Non-Abelian Gauged Fractonic Matter Field Theory: New Sigma Models, Superfluids and Vortices
- Higher-Rank Non-Abelian Tensor Field Theory: Higher-Moment or Subdimensional Polynomial Global Symmetry, Algebraic Variety, Noether’s Theorem, and Gauge
- Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms and Dynamical Constraints via Cobordisms
- Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
- Gene-mating dynamic evolution theory: fundamental assumptions, exactly solvable models and analytic solutions
- Gene-mating dynamic evolution theory II: global stability of N-gender-mating polyploid systems
- Non-Liquid Cellular States
- Unwinding Fermionic SPT Phases: Supersymmetry Extension
- Boundary supersymmetry of 1+1 d fermionic SPT phases

- 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

**Tianqi Wu**

**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