activity
20092024
most citedA unitary test of the Ratios Conjecture

19 citations · 37 across the 6 of their papers we have counts for

collaborators

8 papers

math.AG2024★ 1 cited

Classification of simple 0-dimensional isolated complete intersection singularities

Thuy Huong Pham, Gerhard Pfister, Gert-Martin Greuel

The aim of this article is the classification of simple 0-dimensional isolated complete intersection singularities in positive characteristic. As usual, a singularity is called sim…

math.AG2020

A note on finite determinacy of matrices

Thuy Huong Pham, Pedro Macias Marques

In this note, we give a necessary and sufficient condition for a matrix A in M to be finitely G-determined, where M is the ring of 2 x 2 matrices whose entries are formal power ser…

math.AG2017

Algorithms for group actions in arbitrary characteristic and a problem in singularity theory

Gert-Martin Greuel, Thuy Huong Pham

We consider the actions of different groups G on the space M of m x n matrices with entries in the formal power series ring K[[x1,..., xs]], K an arbitrary field. G acts on M by an…

math.AG2017★ 17 cited

Finite determinacy of matrices and ideals

Gert-Martin Greuel, Thuy Huong Pham

The main aim of this paper is to characterize ideals I in the power series ring R=K[[x1,...,xs]] that are finitely determined up to contact equivalence by proving that this is the…

math.AG2016

On finite determinacy for matrices of power series

Gert-Martin Greuel, Thuy Huong Pham

Let be the ring of formal power series with maximal ideal over a field of arbitrary characteristic. On the ring of mat…

math.AG2013

Mather-Yau Theorem in Positive Characteristic

Gert-Martin Greuel, Thuy Huong Pham

The well-known Mather-Yau theorem says that the isomorphism type of the local ring of an isolated complex hypersurface singularity is determined by its Tjurina algebra. It is also…

math.PR2010

Distribution of Eigenvalues of Highly Palindromic Toeplitz Matrices

Steven Jackson, Steven J. Miller, Thuy Pham

Consider the ensemble of real symmetric Toeplitz matrices whose entries are i.i.d random variables chosen from a fixed probability distribution p of mean 0, variance 1 and finite h…

math.NT2009★ 19 cited

A unitary test of the Ratios Conjecture

John Goes, Steven Jackson, Steven J. Miller +4

The Ratios Conjecture of Conrey, Farmer and Zirnbauer predicts the answers to numerous questions in number theory, ranging from n-level densities and correlations to mollifiers to…