Soumya Das

activity

20092022

most citedDistinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

10 citations · 45 across the 22 of their papers we have counts for

collaborators

26 papers

math.AG2022

On the Covers of Orbifold Curves Preserving the Slope Stability under Pullback

Soumyadip Das

We completely characterize the covers of connected orbifold curves which preserve slope stability of vector bundles under the pullback morphism. More precisely, given a cover $f \c…

math.NT2022

Bounds for the Bergman kernel and the sup-norm of holomorphic Siegel cusp forms

Soumya Das, Hariram Krishna

We prove `polynomial in $k$ ' bounds on the size of the Bergman kernel for the space of holomorphic Siegel cusp forms of degree $n$ and weight $k$ . When $n = 1, 2$ our bounds agree wit…

math.NT2022★ 3 cited

Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average

Pramath Anamby, Soumya Das

We formulate a precise conjecture about the size of the $L^{\infty}$ -mass of the space of Jacobi forms on $H_{n} \times C^{g \times n}$ of matrix index $S$ of size $g$ .…

math.AG2022★ 1 cited

Galois Covers of Singular Curves in Positive Characteristics

Soumyadip Das

We study the étale fundamental groups of singular reduced connected curves defined over an algebraically closed field of arbitrary prime characteristic. It is shown that when the c…

math.AG2022

Genuinely ramified maps and stable vector bundles

Indranil Biswas, Soumyadip Das, A. J. Parameswaran

Let $f : X \to Y$ be a separable finite surjective map between irreducible normal projective varieties defined over an algebraically closed field, such that the correspondi…

math.AG2021

Stability of pullback of orbifold bundles

Soumyadip Das, Snehajit Misra

In this article, we study the behavior of the stability of pullback of a vector bundle under a finite morphism from a (not necessarily smooth) stacky curve to an orbifold curve. We…

math.AG2021★ 1 cited

Towards the Generalized Purely Wild Inertia Conjecture for product of Alternating and Symmetric Groups

Soumyadip Das

We obtain new evidence for the Purely Wild Inertia Conjecture posed by Abhyankar and for its generalization. We show that this generalized conjecture is true for any product of sim…

math.AG2020★ 4 cited

On the Inertia Conjecture and its generalizations

Soumyadip Das

Studying two point branched Galois covers of the projective line we prove the Inertia Conjecture for the Alternating groups $A_{p + 1}$ , $A_{p + 3}$ , $A_{p + 4}$ for any odd prime $p \eq…

math.NT2020

Jacobi forms and differential operators: odd weights

Soumya Das, Ritwik Pal

We show that it is possible to remove two differential operators from the standard collection of $m$ of them used to embed the space of Jacobi forms of \textit{odd} weight $k$ and…

math.NT2020

The first negative eigenvalue of Yoshida lifts

Soumya Das, Ritwik Pal

We prove that for any given $ε > 0$ , the first negative eigenvalue of the Yoshida lift $F$ of a pair of elliptic cusp forms $f, g$ having square-free levels (where $g$ has weight $2$ …

math.NT2020

Hecke-Siegel type threshold for square-free Fourier coefficients: an improvement

Pramath Anamby, Soumya Das

We prove that if $f$ is a non zero cusp form of weight $k$ on $Γ_{0} (N)$ with character $χ$ such that $N / (conductor χ)$ square-free, then there exists a square-free $n\ll_ε k^…

math.NT2020★ 1 cited

Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts

Pramath Anamby, Soumya Das

Using the amplification technique, we prove that `mass' of the pullback of the Saito-Kurokawa lift of a Hecke eigen form $g \in S_{2 k}$ is bounded by $k^{1 - \frac{1}{210} + ε}$ . This i…

math.NT2020★ 10 cited

Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

Pramath Anamby, Soumya Das

We prove that Hermitian cusp forms of weight $k$ for the Hermitian modular group of degree $2$ are determined by their Fourier coefficients indexed by matrices whose determinants a…

math.NT2020

On Fourier coefficients of elliptic modular forms $mod ℓ$ with applications to Siegel modular forms

Siegfried Böcherer, Soumya Das

We study several aspects of nonvanishing Fourier coefficients of elliptic modular forms $mod ℓ$ , partially answering a question of Bellaïche-Soundararajan concerning the asymp…

math.ST2020

On Construction of Higher Order Kernels Using Fourier Transforms and Covariance Functions

Soumya Das, Subhajit Dutta, Radhenduhska Srivastava

In this paper, we show that a suitably chosen covariance function of a continuous time, second order stationary stochastic process can be viewed as a symmetric higher order kernel.…

math.NT2020

Large Hecke eigenvalues and an Omega result for non Saito--Kurokawa lifts

Pramath Anamby, Soumya Das, Ritwik Pal

We prove a result on the distribution of Hecke eigenvalues, $μ_{F} (p^{r})$ (for $r = 1, 2$ or $3$ ) of a non Saito--Kurokawa lift $F$ of degree $2$ . As a consequence, we obtain an Omega re…

math.AG2019★ 2 cited

Local Oort groups and the isolated differential data criterion

Huy Dang, Soumyadip Das, Kostas Karagiannis +2

It is conjectured that if k is an algebraically closed field of characteristic p > 0, then any branched G-cover of smooth projective k-curves where the "KGB" obstruction vanishes a…

math.NT2018★ 6 cited

Petersson norms of not necessarily cuspidal Jacobi modular forms and applications

Siegfried Bocherer, Soumya Das

We extend the usual notion of Petersson inner product on the space of cuspidal Jacobi forms to include non-cuspidal forms as well. This is done by examining carefully the relation…

math.NT2018

On fundamental Fourier coefficients of Siegel modular forms

Siegfried Bocherer, Soumya Das

We prove that if $F$ is a non-zero (possibly non-cuspidal) vector-valued Siegel modular form of any degree, then it has infinitely many non-zero Fourier coefficients which are inde…

math.AG2017★ 6 cited

On The Inertia Conjecture for Alternating group Covers

Soumyadip Das, Manish Kumar

The wild part of Abhyankar's Inertia Conjecture for a product of certain Alternating groups is shown for any algebraically closed field of odd characteristic. For $d$ a multiple of…

math.NT2014★ 9 cited

Simultaneous nonvanishing of Dirichlet $L$ -functions and twists of Hecke-Maass L-functions

Soumya Das, Rizwanur Khan

We prove that given a Hecke-Maass form $f$ for $SL (2, Z)$ and a sufficiently large prime $q$ , there exists a primitive Dirichlet character $χ$ of conductor $q$ such…

math.NT2013

On a convolution series attached to a Siegel Hecke cusp form of degree 2

Soumya Das, Winfried Kohnen, Jyoti Sengupta

We prove that the "naive" convolution Dirichlet series D_2(s) attached to a degree 2 Siegel Hecke cusp form F, has a pole at s=1. As an application, we write down the asymptotic fo…

math.NT2013

L^\infty norms of holomorphic modular forms in the case of compact quotient

Soumya Das, Jyoti Sengupta

We prove a sub-convex estimate for the sup-norm of $L^{2}$ -normalized holomorphic modular forms of weight $k$ on the upper half plane, with respect to the unit group of a quaternion…

math.NT2009★ 2 cited

Some aspects of Hermitian Jacobi forms

Soumya Das

We introduce a certain differential (heat) operator on the space of Hermitian Jacobi forms of degree 1, show it's commutation with certain Hecke operators and use it to construct a…

On the Covers of Orbifold Curves Preserving the Slope Stability under Pullback

Bounds for the Bergman kernel and the sup-norm of holomorphic Siegel cusp forms

Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average

Galois Covers of Singular Curves in Positive Characteristics

Genuinely ramified maps and stable vector bundles

Stability of pullback of orbifold bundles

Towards the Generalized Purely Wild Inertia Conjecture for product of Alternating and Symmetric Groups

On the Inertia Conjecture and its generalizations

Jacobi forms and differential operators: odd weights

The first negative eigenvalue of Yoshida lifts

Hecke-Siegel type threshold for square-free Fourier coefficients: an improvement

Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts

Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients

On Fourier coefficients of elliptic modular forms modℓ with applications to Siegel modular forms

On Construction of Higher Order Kernels Using Fourier Transforms and Covariance Functions

Large Hecke eigenvalues and an Omega result for non Saito--Kurokawa lifts

Local Oort groups and the isolated differential data criterion

Petersson norms of not necessarily cuspidal Jacobi modular forms and applications

On fundamental Fourier coefficients of Siegel modular forms

On The Inertia Conjecture for Alternating group Covers

Simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke-Maass L-functions

On a convolution series attached to a Siegel Hecke cusp form of degree 2

L^\infty norms of holomorphic modular forms in the case of compact quotient

Some aspects of Hermitian Jacobi forms

On Fourier coefficients of elliptic modular forms $mod ℓ$ with applications to Siegel modular forms

Simultaneous nonvanishing of Dirichlet $L$ -functions and twists of Hecke-Maass L-functions