[1] Gauss-manin connection in disguise: genus two curves

[2] Bounded gaps between primes

[3] Shtukas and the Taylor expansion of L-functions

[4] Companions on Artin stacks

[5] Weight Distributions of a Class of Cyclic Codes with Arbitrary Number of Nonzeros in Quadratic Case

[6] Triple product formula and the subconvexity bound of triple product l-function in level aspect

[7] Brandt matrices and theta series over global function fields

[8] A prismatic approach to (φ,Ĝ )-modules and F-crystals

[9] About the strong EULER-GOLDBACH conjecture

[10] On the Siegel-Weil formula over function fields

[11] Levy-Khintchin Theorem for best simultaneous Diophantine approximations

[12] The Breuil-Mézard conjecture for non-scalar split residual representations

[13] Log-algebraic identities on Drinfeld modules and special L-values

[14] Gross-Schoen cycles and Dualising sheaves

[15] LLL and stochastic sandpile models

[16] Noether's problem for cyclic groups of prime order

[17] On Rankin triple product L-functions over function fields: central critical values

[18] Parity and symmetry in intersection and ordinary cohomology

[19] Hasse-Witt matrices, unit roots and period integrals

[20] Genus periods, genus points and congruent number problem

[21] Automorphic period and the central value of Rankin-Selberg L-function

[22] Multiplicity one for the mod $p$ cohomology of Shimura curves: the tame case

[23] The big de Rham–Witt complex

[24] Kronecker limit formula over global function fields

[25] Arithmetic of Shimura curves

[26] The Petersson/Kuznetsov trace formula with prescribed local ramifications

[27] Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity

[28] Admissible pairing on a curve

[29] Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups

[30] A subspace theorem for subvarieties

[31] Doubling Constructions and Tensor Product L-Functions: the linear case

[32] Hankel Determinants, Pade Approximations, and Irrationality Exponents

[33] The arithmetic Hodge index theorem for adelic line bundles

[34] Modularity of open Gromov-Witten potentials of elliptic orbifolds

[35] On metaplectic forms over function fields

[36] Linear relations among double zeta values in positive characteristic

[37] On the structure of some p-adic period domains

[38] $p$-adic logarithmic forms and a problem of Erdős

[39] Critical points of the classical Eisenstein series of weight two

[40] Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions

[41] Congruent Numbers and Heegner Points

[42] Waldspurger formula over function fields

[43] G^-local systems on smooth projective curves are potentially automorphic

[44] On divisors of Lucas and Lehmer numbers

[45] Distributions in Algebraic Dynamics

[46] Bessel F-isocrystals for reductive groups

[47] Towards a Dynamical Manin–Mumford Conjecture

[48] On the arithmetic transfer conjecture for exotic smooth formal moduli spaces

[49] On derivatives of Siegel-Eisenstein series over global function fields

[50] On cuspidality of global Arthur packets for symplectic groups

[51] On multiple polylogarithms in characteristic $p$: $v$-adic vanishing versus $\infty$-adic Eulerian

[52] An effective criterion for Eulerian multizeta values in positive characteristic

[53] Positive line bundles on arithmetic surfaces

[54] Weil representation and arithmetic fundamental lemma

[55] Small points and adelic metrics

[56] Linear independence of monomials of multizeta values in positive characteristic

[57] On the distribution of Jacobi sums

[58] Generic abelian varieties with real multiplication are not Jacobians

[59] On arithmetic fundamental lemmas

[60] P-adic families of automorphic forms over some unitary Shimura varieties

[61] On the Local Converse Theorem for p-adic GLn

[62] On central critical values of rankin-type l-functions over global function fields

[63] On some generalized Rapoport-Zink spaces

[64] When Kloosterman sums meet Hecke eigenvalues

[65] An application of a theorem of Emerton to mod p representations of GL_2

[66] A strong multiplicity one theorem for SL(2)

[67] Arthur parameters and cuspidal automorphic modules of classical groups

[68] Uniformity in Mordell-Lang for curves

[69] Square-free values of$f$($p$),$f$cubic

[70] Random matrices: Universality of local eigenvalue statistics

[71] Iwasawa Main Conjecture for Non-ordinary Modular Forms

[72] On finite Carlitz multiple polylogarithms

[73] Heights of Heegner cycles and derivatives of L-series

[74] IWASAWA Main Conjecture for Supersingular Elliptic curves

[75] Algebraic independence of periods and logarithms of Drinfeld modules. With an appendix by Brian Conrad.

[76] A weak kernel formula for Bessel functions

[77] Equidistribution of CM-Points on Quaternion Shimura Varieties

[78] Equidistribution of small points on abelian varieties

[79] Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties

[80] On the polynomial sharp upper estimate conjecture in 7-dimensional simplex

[81] On minima of sum of theta functions and application to Mueller-Ho Conjecture

[82] Genus Zero Modular Functions

[83] Almost Totally Complex Points on Elliptic Curves

[84] Heights of Kudla–Rapoport divisors and derivatives of L-functions

[85] Characterization of a class of planar self-affine tile digit sets

[86] Zeros of the deformed exponential function

[87] On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing

[88] Gross-Zagier formula for GL(2) II

[89] Anderson-Thakur polynomials and multizeta values in positive characteristic.

[90] On the averaged Colmez conjecture

[91] Taylor coefficients of t-motivic multiple zeta values and explicit formulae

[92] Sharp upper estimate of geometric genus and coordinate-free characterization of isolated homogeneous hypersurface singularities

[93] Equir´epartition des petits points

[94] A Local-Global Equality on Every Affine Variety Admitting Points in An Arbitrary Rank-One Subgroup of a Global Function Field

[95] On the density of abelian l-extensions

[96] Heights of Heegner points on Shimura curves

[97] Invertible lattices

[98] The Jacquet–Langlands Correspondence via Twisted Descent

[99] On the distribution of multivariate Jacobi sums

[100] Riemann’s zeta-function and the divisor problem. III

[101] A G_2-period of a Fourier coefficient of an Eisenstein series on E_6

[102] A remark on a converse theorem of Cogdell and Piatetski-Shapiro

[103] A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers

[104] On the sharp polynomial upper estimate conjecture in eight-dimensional simplex

[105] Arthur parameters and Fourier coefficients for automorphic forms on symplectic groups

[106] A local trace formula for the generalized Shalika model

[107] Heights in families of abelian varieties and the Geometric Bogomolov Conjecture

[108] Completed prismatic F-crystals and crystalline Zp-local systems

[109] Representations of mock theta functions

[110] Elliptic curves, L-functions, and CM-points

[111] A product of tensor product L-functions of quasi-split classical groups of Hermitian type

[112] Theta series and function field analogue of Gross formula

[113] Gross-Zagier formula for GL2

[114] Geometric reductivity at Archimedean places

[115] Erratum to “The primes contain arbitrarily long polynomial progressions”

[116] The Gross-Kohnen-Zagier Theorem over Totally Real Fields

[117] A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function

[118] Multiplicities of cohomological automorphic forms on $\mathrm{GL}_2$ and mod $p$ representations of $\mathrm{GL}_2(\mathbb{Q}_p)$

[119] On Kronecker terms over global function fields

[120] Multiplicity one theorem for the Ginzburg-Rallis model: The tempered case

[121] On Shuffle of Double Eisenstein series in positive characteristic

[122] Average values of higher moments of quadratic l-functions over rational function fields

[123] Torsion points, Pell’s equation, and integration in elementary terms

[124] An asymptotic formula for the primitive of Hardy’s function

[125] The Drinfeld symmetric space and local Langlands correspondence II

[126] A transcendental dynamical degree

[127] The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One

[128] On the residue method for period integrals

[129] A relative Szemerédi theorem

[130] On a number-theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman–de Bruijn function

[131] Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture

[132] Distribution of almost division points.

[133] Baker-Schmidt theorem for Hausdorff dimensions in finite characteristic

[134] M\"{o}bius disjointness for a class of exponential functions

[135] The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

[136] The geometric Bogomolov conjecture

[137] Periods and distribution of cycles on Hilbert modular varieties

[138] The Birch and Swinnerton-Dyer Conjecture For Q-Curves and Oda's Period Relations

[139] Equidistribution of expanding translates of curves and Diophantine approximation on matrices

[140] The Drinfeld symmetric space and local Langlands correspondence I

[141] Heegner points on modular curves

[142] Small points and Arakelov theory

[143] A conjecture based on Somos-4 sequence and its extension

[144] On a conjecture of Furusho over function fields

[145] On the existence of curves with prescribed a-number

[146] Some analytic aspects of automorphic forms on GL(2) of minimal type

[147] Positive line bundles on arithmetic varieties

[148] Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples

[149] An explicit Gross-Zagier formula related to the Sylvester Conjecture

[150] Meromorphic quasi-modular forms and their L-functions

[151] Analogues of Iwasawa’s μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic Z_2 -extension

[152] New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

[153] L-packets of quasisplit GSp(2n) and GO(2n)

[154] Heights and reductions of semi-stable varieties

[155] Generating functions of planar polygons from homological mirror symmetry of elliptic curves

[156] Disjointness of M\"{o}bius from asymptotically periodic functions

[157] Quadratic twists of χ_0(14)

[158] Geometry of algebraic points

[159] Ainf has uncountable Krull dimension

[160] Waldspurger's period integral for newforms

[161] The holomorphic kernel of the Rankin-Selberg convolution

[162] Cuspidal part of an Eisenstein series restricted to an index 2 subfield

[163] Triple product formula and mass equidistribution on modular curves of level N

[164] A Classical Family of Elliptic Curves having Rank One and the 2-Primary Part of their Tate-Shafarevich Group Non-Trivial

[165] Non-vanishing theorems for central L-values of some elliptic curves with complex multiplication

[166] Classical Iwasawa theory and infinite descent on a family of abelian varieties

[167] A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit Sp(N) and O(N)

[168] On the focus order of planar polynomial differential equations

[169] Mass equidistribution on the torus in the depth aspect

[170] Sup norm on PGL_n in depth aspect