## Contents of Volume 371, Number 6

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- Associative algebras for (logarithmic) twisted modules for a vertex operator algebra
- Yi-Zhi Huang and Jinwei Yang PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3747-3786

- Algebraic approximations to linear combinations of powers: An extension of results by Mahler and Corvaja–Zannier
- Avinash Kulkarni, Niki Myrto Mavraki and Khoa D. Nguyen PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3787-3804

- Non-optimal levels of a reducible mod $\ell$ modular representation
- Hwajong Yoo PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3805-3830

- On the complexity of torus knot recognition
- John A. Baldwin and Steven Sivek PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3831-3855

- On the trace of Schrödinger heat kernels and regularity of potentials
- Hart Smith PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3857-3875

- Cyclotomic quiver Hecke algebras and Hecke algebra of $G(r,p,n)$
- Salim Rostam PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3877-3916

- Potential theory of subordinate killed Brownian motion
- Panki Kim, Renming Song and Zoran Vondraček PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3917-3969

- Finite decomposition rank for virtually nilpotent groups
- Caleb Eckhardt, Elizabeth Gillaspy and Paul McKenney PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3971-3994

- Minimal free resolutions of monomial ideals and of toric rings are supported on posets
- Timothy B. P. Clark and Alexandre B. Tchernev PDF
- Trans. Amer. Math. Soc.
**371**(2019), 3995-4027

- Combinatorial description of the cohomology of the affine flag variety
- Seung Jin Lee PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4029-4057

- Existence, lifespan, and transfer rate of Ricci flows on manifolds with small Ricci curvature
- Fei He PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4059-4095

- Computing reflection length in an affine Coxeter group
- Joel Brewster Lewis, Jon McCammond, T. Kyle Petersen and Petra Schwer PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4097-4127

- Variance of the volume of random real algebraic submanifolds
- Thomas Letendre PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4129-4192

- Bilinear representation theorem
- Kangwei Li, Henri Martikainen, Yumeng Ou and Emil Vuorinen PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4193-4214

- Rigidity of circle polyhedra in the $2$-sphere and of hyperideal polyhedra in hyperbolic $3$-space
- John C. Bowers, Philip L. Bowers and Kevin Pratt PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4215-4249

- On the GIT quotient space of quintic surfaces
- Patricio Gallardo PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4251-4276

- Parafermion vertex operator algebras and $W$-algebras
- Tomoyuki Arakawa, Ching Hung Lam and Hiromichi Yamada PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4277-4301

- Rectifiability of the singular set of multiple-valued energy minimizing harmonic maps
- Jonas Hirsch, Salvatore Stuvard and Daniele Valtorta PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4303-4352

- Explicit Salem sets and applications to metrical Diophantine approximation
- Kyle Hambrook PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4353-4376

- Certain Liouville properties of eigenfunctions of elliptic operators
- Ari Arapostathis, Anup Biswas and Debdip Ganguly PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4377-4409

- Singular measure traveling waves in an epidemiological model with continuous phenotypes
- Quentin Griette PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4411-4458

- Pinned distance problem, slicing measures, and local smoothing estimates
- Alex Iosevich and Bochen Liu PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4459-4474

- Saturated null and meager ideal
- Ashutosh Kumar and Saharon Shelah PDF
- Trans. Amer. Math. Soc.
**371**(2019), 4475-4491