Anilatmaja Aryasomayajula

activity

20132026

most citedOn the Kaehler metrics over ${mathrm{Sym}^{d}(X)$

5 citations · 11 across the 21 of their papers we have counts for

collaborators

22 papers

math.NT2026

$L^{\infty}$ -norm bounds for Siegel--Jacobi cusp forms

Anilatmaja Aryasomayajula, Jürg Kramer, Anna-Maria von Pippich

In this article, we establish explicit and uniform $L^{\infty}$ -norm bounds for $L^{2}$ -normalized Siegel--Jacobi cusp forms of integral weight $k$ and index $m$ for the Siegel mod…

math.CV2025

Off-diagonal estimates of the Bergman kernel associated to Siegel varieties

Anilatmaja Aryasomayajula, Harinarayanan G

For $g \geq 2$ , let $Γ \subset Sp (2 g, R)$ be a discrete subgroup, which is either a cocompact subgroup or an arithmetic subgroup without torsion elements, and let $\m…

math.CV2024

Estimates and asymptotics of Teichmüller modular forms

Anilatmaja Aryasomayajula, Debasish Sadhukhan

In this article, we derive estimates of Teichmüller modular forms, and associated invariants. Let $M_{g}$ denote the moduli space of compact hyperbolic Riemann surfaces o…

math.CV2024

Estimates of automorphic forms on $SU (n, 1)$

Anilatmaja Aryasomayajula, Baskar Balasubramanyam

For $n \geq 2$ , let $Γ \subset SU ((n, 1), O_{K})$ be a torsion-free, finite-index subgroup, where $O_{K}$ denotes the ring of integers of a totally imaginary…

math.NT2024

Sup-norm bounds for Jacobi cusp forms

Anilatmaja Aryasomayajula, Jürg Kramer, Anna-Maria von Pippich

In this article, we give $L^{\infty}$ -norm bounds for the natural invariant norm of cusp forms of real weight $k$ and character $χ$ for any cofinite Fuchsian subgroup $Γ\subset\mat…

math.CV2023

Estimates of Bergman Kernels and Bergman metric on compact Picard surfaces

Anilatmaja Aryasomayajula, Dyuti Roy, Debasish Sadhukhan

Let $Γ \subset SU ((2, 1), C)$ be a torsion-free cocompact subgroup. Let $B^{2}$ denote the $2$ -dimensional complex ball endowed with the hyperbolic metric $…

math.CV2023★ 1 cited

Estimates of Kähler metrics on noncompact finite volume hyperbolic Riemann surfaces, and their symmetric products

Anilatmaja Aryasomayajula, Arijit Mukherjee

Let $X$ denote a noncompact finite volume hyperbolic Riemann surface of genus $g \geq 2$ , with only one puncture at $i \infty$ (identifying $X$ with its universal cover $H$ )…

math.NT2023

Estimates of Picard modular cusp forms

Anilatmaja Aryasomayajula, Bakar Balasubramanyam, Dyuti Roy

In this article, for $n \geq 2$ , we compute asymptotic, qualitative, and quantitative estimates of the Bergman kernel of Picard modular cusp forms associated to torsion-free, cocomp…

math.NT2022

Estimates of cusp forms for certain cocompact arithmetic subgroups

Anilatmaja Aryasomayajula, Baskar Balasubramanyam

In this article, we derive a sub convexity estimate of Hecke eigen cusp forms associated to certain cocompact arithmetic subgroups of SL(2,R). The main result can be considered as…

math.CV2019

Bergman kernel on Riemann surfaces and Kaehler metric on symmetric products

Anilatmaja Aryasomayajula, Indranil Biswas

Let $X$ be a compact hyperbolic Riemann surface equipped with the Poincaré metric. For any integer $k \geq 2$ , we investigate the Bergman kernel associated to the holomorphic Hermit…

math.CV2018

Estimates of the Bergman kernel on a hyperbolic Riemann surface of finite volume-II

Anilatmaja Aryasomayajula, Priyanka Majumder

In this article, we derive off-diagonal estimates of the Bergman kernel associated to the tensor-powers of the cotangent bundle defined on a hyperbolic Riemann surface of finite vo…

math.NT2018

Estimates of Fourier coefficients of integral and half-integral weight cusp forms associated to cofinite Fuchsian subgroups

Anilatmaja Aryasomayajula

Let $\G\subset \mathrm{SL}_{2}(\R)$ be a cofinite Fuchsian subgroup, and let $i \infty$ be a cusp of $\G$. For $k \in Z_{\geq 0}$ , let $\Sk$ denote the complex vector space of cusp f…

math.NT2017

Estimates of automorphic forms over quaternion algebras

Anilatmaja Aryasomayajula, Baskar Balasubramanyam

In this article, using methods from geometric analysis and theory of heat kernels, we derive qualitative estimates of automorphic cusp forms defined over quaternion algebras. Using…

math.CV2017

Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume

Anilatmaja Aryasomayajula, Priyanka Majumder

In this article, we derive off-diagonal estimates of the Bergman kernel associated to tensor- products of the cotangent line bundle defined over a hyperbolic Riemann surface of fin…

math.DG2016★ 5 cited

On the Kaehler metrics over ${mathrm{Sym}^{d}(X)$

Anilatmaja Aryasomayajula, Indranil Biswas, Archana S. Morye +1

Let $X$ be a compact connected Riemann surface of genus $g$ , with $g \geq 2$ . For each $d < η (X)$ , where $η (X)$ is the gonality of $X$ , the symmetric product $Sym^{d} (X)$ embed…

math.NT2015

Estimates of Hilbert modular cusp forms of half-integral and integral weight

Anilatmaja Aryasomayajula

Let $Γ$ be a cocompact, discrete, and irreducible subgroup of $PSL_{2} (R)^{n}$ . Let $ν$ be a unitary character of $Γ$ . For $k\in1\slash 2\,\mathbb{Z}$, let $\sknu…

math.NT2015

Heat kernels, Bergman kernels, and cusp forms

Anilatmaja Aryasomayajula

In this article, we describe a geometric method to study cusp forms, which relies on heat kernel and Bergman kernel analysis. This new approach of applying techniques coming from a…

math.NT2015

Heat kernel approach for sup-norm bounds for cusp forms of integral and half integral weight

Anilatmaja Aryasomayajula

In this article, using the heat kernel approach from \cite{bouche}, we derive sup-norm bounds for cusp forms of integral and half integral weight. Let $Γ\subset \mathrm{PSL}_{2}(\m…

math.NT2014

A relation of cusp forms and Maass forms on product of hyperbolic Riemann orbisurfaces of finite volume

Anilatmaja Aryasomayajula

In 2006, in a paper published in Compositio, titled "Bounds on canonical Green's functions", J. Jorgenson and J. Kramer proved a certain key identity which relates the two natural…

math.NT2014

Bounds for canonical Green's function at cusps

Anilatmaja Aryasomayajula

In this article, we derive bounds for the canonical Green's function defined on a noncompact hyperbolic Riemann surface, when evaluated at two inequivalent cusps.

math.NT2014★ 1 cited

Bounds for Green's functions on noncompact hyperbolic Riemann orbisurfaces of finite volume

Anilatmaja Aryasomayajula

In 2006, in a paper published in Compositio titled "Bounds on canonical Green's functions", J. Jorgenson and J. Kramer derived bounds for the canonical Green's function and the hyp…

math.NT2013★ 4 cited

Extension of a key identity

Anilatmaja Aryasomayajula

In this article, we extend a certain key identity proved by J. Jorgenson and J. Kramer for compact hyperbolic Riemann surfaces to noncompact hyperbolic Riemann orbisurfaces of fini…

L∞-norm bounds for Siegel--Jacobi cusp forms

Off-diagonal estimates of the Bergman kernel associated to Siegel varieties

Estimates and asymptotics of Teichmüller modular forms

Estimates of automorphic forms on SU(n,1)

Sup-norm bounds for Jacobi cusp forms

Estimates of Bergman Kernels and Bergman metric on compact Picard surfaces

Estimates of Kähler metrics on noncompact finite volume hyperbolic Riemann surfaces, and their symmetric products

Estimates of Picard modular cusp forms

Estimates of cusp forms for certain cocompact arithmetic subgroups

Bergman kernel on Riemann surfaces and Kaehler metric on symmetric products

Estimates of the Bergman kernel on a hyperbolic Riemann surface of finite volume-II

Estimates of Fourier coefficients of integral and half-integral weight cusp forms associated to cofinite Fuchsian subgroups

Estimates of automorphic forms over quaternion algebras

Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume

On the Kaehler metrics over ${mathrm{Sym}^{d}(X)$

Estimates of Hilbert modular cusp forms of half-integral and integral weight

Heat kernels, Bergman kernels, and cusp forms

Heat kernel approach for sup-norm bounds for cusp forms of integral and half integral weight

A relation of cusp forms and Maass forms on product of hyperbolic Riemann orbisurfaces of finite volume

Bounds for canonical Green's function at cusps

Bounds for Green's functions on noncompact hyperbolic Riemann orbisurfaces of finite volume

Extension of a key identity

$L^{\infty}$ -norm bounds for Siegel--Jacobi cusp forms

Estimates of automorphic forms on $SU (n, 1)$