Pure and Applied Mathematics Quarterly

ISSN Print 1558-8599  ISSN Online 1558-8602

4 issues per year


Piotr T. Chruściel (University of Vienna)

Zhengwei Liu (Harvard University)

Eduard Looijenga (Tsinghua University)

Valentino Tosatti (Northwestern University)

Xiaokui Yang (Tsinghua University)

Publisher’s Advisor

Shing-Tung Yau (Harvard University)

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Accepted Papers Currently Awaiting Publication

For IssueSeq.TitleAuthor(s)Date of Acceptance
--A density theorem for asymptotically hyperbolic initial data

Mattias Dahl

Anna Sakovich

2021 Apr 18
--A Fully-Nonlinear Flow and Quermassintegral Inequalities in the Sphere

ChuanQiang Chen

Pengfei Guan

Junfang Li

Julian Scheuer

2021 Jun 28
--A note on finite determinacy of matrices

Thuy Huong Pham

Pedro Macias Marques

--A note on the Simpson correspondence for semistable Higgs bundles

Ya Deng

--A view on elliptic integrals from primitive forms

Kyoji Saito

--Abstract Noncommutative Fourier Series on $\Gamma \setminus SE(2)$

Gregory Chirikjian

Arash Ghaani Farashahi

2020 Nov 16
--Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discretely decomposability

Toshiyuki Kobayashi

2020 May 13
--Almost duality for Saito structure and complex reflection groups II: the case of Coxeter and Shephard groups

Yukiko Konishi

Satoshi Minabe

--Analytic and rational sections of relative semi-abelian varieties

Pietro Corvaja

Junjiro Noguchi

Umberto Zannier

2020 Jul 30
--Angle deformation of Kähler–Einstein edge metrics on Hirzebruch surfaces

Yanir A. Rubinstein

Kewei Zhang

2020 Nov 24
--Associated varieties for real reductive groups

Jeffrey Adams

David A. Vogan

2021 Mar 22
--Basic estimates for the generalized $\partial$-complex

Friedrich Haslinger

2021 Jul 22
--Bergman bundles and applications to the geometry of compact complex manifolds

Jean-Pierre Demailly

2021 Apr 11
--Bergman kernels for Paley–Wiener spaces and Nazarov's proof of the Bourgain–Milman theorem.

Bo Berndtsson

2020 Dec 13
--Bergman-Calabi diastasis and K\"ahler metric of constant holomorphic sectional curvature

Robert Xin Dong

Bun Wong

2021 Aug 24
--Branching laws for discrete series of some affine symmetric spaces

Bent Ørsted

Birgit E. Speh

2019 Oct 14
--Categorification of Legendrian knots

Tatsuki Kuwagaki

--Cohomology jump loci of quasi-compact Kähler manifolds

Nero Budur

Botong Wang

--Compactness of Kähler–Ricci solitons on Fano manifolds

Bin Guo

Duong H. Phong

Jian Song

Jacob Sturm

2020 Aug 23
--Connectedness of Milnor Fibres and Stein factorization of compactifiable holomorphic functions

Helmut Hamm

--Critical points of master functions and Mkdv hierarchy of type c(1) n

Alexander Varchenko

Tyler Woodruff

--Curve counting on A_n x C^2

Yalong Cao

--Discrete Morse Theory on digraphs

Yong Lin

Chong Wang

Shing-Tung Yau

2021 May 25
--Eigenvalue sum estimates for lattice subgraphs

Frank Bauer

Gábor Lippner

2021 Sep 13
--Entropy of Bergman measures of a toric Kähler manifold

Pierre Flurin

Steve Zelditch

2020 Aug 6
--Even sets of nodes and Gauss genus theory

Arnaud Beauville

2021 Jun 28
--Factorization algebras and abelian CS/WZW-type correspondences

Brian R. Williams

Owen Gwilliam

Eugene Rabinovich

2021 Jul 13
--From conjugacy classes in the Weyl group to semisimple conjugacy classes

Jeffrey Adams

Xuhua He

Sian Nie

2020 Mar 26
--Generalization of the Weierstrass ℘ function and Maass lifts of weak Jacobi forms

Hiroki Aoki

--Geometry of Prym varieties for certain bielliptic curves of genus three and five

Andreas Malmendier

Adrian Clingher

Tanush Tony Shaska

2021 Sep 13
--Harmonic analysis on $\mathsf{GL}_n$ over finite fields

Shamgar Gurevich

Roger Howe

2020 Aug 12
--Holomorphic feedforward networks

Michael Douglas

2021 May 3
--Holomorphic mappings between hyperquadrics with positive signature

Xiaojun Huang

Ming Xiao

2021 Jul 13
--Hopf–Hecke algebras, infinitesimal Cherednik algebras and Dirac cohomology

Johannes Flake

Siddhartha Sahi

2020 Sep 13
--Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of $C^2$

Eric Bedford

Lorenzo Guerini

John Smillie

2020 Nov 16
--Immaculate line bundles on toric varieties

Klaus Altmann

Jarosław Buczyński

Lars Kastner

Anna-Lena Winz

--Invariants of the Weyl group of type A(2) 2l

Kenji Iohara

Yoshihisa Saito

--Kohn-Rossi Cohomology and Complex Plateau Problem

Xiankui Meng

Stephen S. T. Yau

2020 Dec 29
--Lines, conics, and all that

Ciro Ciliberto

Mikhail Zaidenberg

2020 Mar 23
--Localizations for Quiver Hecke algebras

Masaki Kashiwara

Myungho Kim

Se-jin Oh

Euiyong Park

2020 Dec 25
--Meromorphic connections in filtered A∞ categories

Hiroshi Ohta

Fumihiko Sanda

--Modular forms from the Weierstrass functions

Hiroki Aoki

Kyoji Saito

--Moishezon Morphisms

János Kollár

2021 Jun 30
--On Calabi–Yau fractional complete intersections

Tsung-Ju Lee

Bong H. Lian

Shing-Tung Yau

2020 Sep 29
--On multiple cover formula for local K3 gerbes

Yunfeng Jiang

Hsian-Hua Tseng

2021 Oct 8
--On refined count of rational tropical curves

Eugenii Shustin

--On squares of Hecke eigenforms

Winfried Kohnen

2021 May 25
--On subregular slices of the elliptic Grothendieck-Springer resolution

Dougal Davis

2021 Sep 24
--On the adjoint action of the group of symplectic diffeomorphisms

László Lempert

2021 Sep 29
--On the almost generic covers of the projective plane

Viktor Stepanovich Kulikov

--On the area formulas of inscribed polygons in classical geometry

Yohei Komori

Runa Umezawa

Takuro Yasui

--On the BV structure on the Cohomology of Moduli space

Sümeyra Sakallı

Alexander A. Voronov

--On the Kähler-Ricci flow on Fano manifolds

Bin Guo

Duong H. Phong

Jacob Sturm

2021 Apr 15
--On the Levi problem on Kaehler manifolds under the negativity of canonical bundles on the boundary

Takeo Ohsawa

2021 Mar 11
--On the orbifold Euler characteristics of dual invertible polynomials with non-abelian symmetry groups

Wolfgang Ebeling

Sabir Medgidovich Gusein-Zade

--On the sum of Ricci curvatures for weighted graphs

Shuliang Bai

An Huang

Linyuan Lu

Shing-Tung Yau

2020 Jun 19
--On the topology of elliptic singularities

András Némethi

János Nagy

--Open Gromov-Witten Invariants and Mirror Maps for Semi-Fano Toric Manifolds

Kwokwai Chan

Siu-Cheong Lau

Naichung Conan Leung

Hsian-Hua Tseng

--Optimization results for sphere maps

John P. D'Angelo

2021 May 25
--Parametrization simple irreducible curve singularities in arbitrary characteristic

Hong-Duc Nguyen

--Quantization of continuum Kac–Moody algebras

Francesco Sala

Andrea Appel

--Residual finiteness for central extensions of lattices in PU(n,1) and negatively curved projective varieties

Matthew Stover

Domingo Toledo

2021 Sep 18
--Ricci-flat 5-regular graphs

Heidi Lei

Shuliang Bai

2021 Sep 29
--Roots of Bernstein-Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci

Morihiko Saito

--Schubert structure operators and $K_T^*(G/B)$

Rebecca Goldin

Allen Knutson

2021 Jun 21
--Shuffle algebras and perverse sheaves

Mikhail M. Kapranov

Vadim Schechtman

--Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$

Siqi Fu

Mei-Chi Shaw

2021 Apr 22
--Sums of CR and projective dual CR functions

David Eugene Barrett

Dusty Edward Grundmeier

2021 Aug 13
--Symmetry algebras of polynomial models in complex dimension three

Martin Kolář

2021 Aug 30
--The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms

Reebhu Bhattacharyya

Daniel Matthew Burns

Ernesto Lupercio

Alejandro Uribe

2021 Sep 13
--The geometry of generalized Lamé equation, III: One-to-one of the Riemann–Hilbert correspondence

Zhijie Chen

Ting-Jung Kuo

Chang-Shou Lin

2021 Feb 2
--The Isoperimetric Problem in Riemannian Optical Geometry

Henri P. Roesch

Marcus C. Werner

--the local and global versions of the Whittaker category

Dennis Gaitsgory

--The real Fourier-Mukai transform of Cayley cycles

Kotaro Kawai

Hikaru Yamamoto

2021 Jun 30
--The road to GGP

Benedict H. Gross

2021 Jan 19
--The sharp Gevrey Kotake–Narasimhan theorem with an elementary proof

David S. Tartakoff

2021 Mar 9
--Trace ideals, normalization chains, and endomorphism rings

Eleonore Faber

--Unitary representations, L2 Dolbeault cohomology, and weakly symmetric pseudo-Riemannian nilmanifolds

Joseph A. Wolf

2019 Oct 24
--Vanishing Theorem of Kohn–Rossi Cohomology Class and Rigidity of Sasakian Space Form

Der-Chen Chang

Shu-Cheng Chang

Ting-Jung Kuo

Chien Lin

2021 Jan 19