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## High Dimensional Normality of Noisy Eigenvectors

- Jake Marcinek, H. Yau
- Mathematics, Computer ScienceCommunications in Mathematical Physics
- 15 May 2020

## Eigenvector Statistics of L\'{e}vy Matrices

- A. Aggarwal, P. Lopatto, Jake Marcinek
- Mathematics, Computer Science
- 21 February 2020

## Eigenvector statistics of Lévy matrices

- A. Aggarwal, P. Lopatto, Jake Marcinek
- Mathematics, Computer Science
- 1 May 2021

## An Improved Lower Bound for Sparse Reconstruction from Subsampled Hadamard Matrices

- Jarosław Błasiok, P. Lopatto, K. Luh, Jake Marcinek, Shravas Rao
- Computer ScienceIEEE 60th Annual Symposium on Foundations of…
- 28 March 2019

We give a short argument that yields a new lower bound on the number of subsampled rows from a bounded, orthonormal matrix necessary to form a matrix with the restricted isometry property. We show… Expand

## Comparison theorem for some extremal eigenvalue statistics

- B. Landon, P. Lopatto, Jake Marcinek
- MathematicsAnnals of Probability
- 25 December 2018

We introduce a method for the comparison of some extremal eigenvalue statistics of random matrices. For example, it allows one to compare the maximal eigenvalue gap in the bulk of two generalized… Expand

## Distribution of orders in number fields

- N. Kaplan, Jake Marcinek, Ramin Takloo-Bighash
- Mathematics
- 6 August 2014

AbstractIn this paper, we study the distribution of orders of bounded discriminants in number fields. We use the zeta functions introduced by Grunewald, Segal, and Smith. In order to carry out our… Expand

## Sparse Reconstruction from Hadamard Matrices: A Lower Bound

- Jarosław Błasiok, P. Lopatto, K. Luh, Jake Marcinek
- Computer ScienceArXiv
- 28 March 2019

## Counting Subrings of ${\mathbb Z}^n$ of finite index

- N. Kaplan, Jake Marcinek, Ramin Takloo-Bighash
- Mathematics
- 12 August 2010

In this article we investigate the number of subrings of $\Z^d$ using subring zeta functions and $p$-adic integration.

## Elliptic Curves and the Mordell-Weil Theorem

- Jake Marcinek
- Mathematics
- 2013

This paper introduces the notion of elliptic curves with an emphasis on elliptic curves defined over Q and their rational points. Some algebraic number theory and algebraic geometry is developed in… Expand

## KMS weights on higher rank buildings

- Jake Marcinek, M. Marcolli
- Mathematics
- 30 June 2015

We extend some of the results of Carey-Marcolli-Rennie on modular index invariants of Mumford curves to the case of higher rank buildings. We discuss notions of KMS weights on buildings, that… Expand