# Research

**Disclaimer:** The links below are under paywall, but most of my publications are freely available on ArXiv.

## Journals

*Lower Bounds on the Oracle Complexity of Nonsmooth Convex Optimization via Information Theory**New Upper Bounds on the Density of Translative Packings of Three-Dimensional Convex Bodies with Tetrahedral Symmetry**On Lower Complexity Bounds for Large-Scale Smooth Convex Optimization*(with A. Nemirovski). Journal of Complexity, 31(1), pp. 1-14, 2015*Network Congestion Control with Markovian Multipath Routing*

## Conferences

*Statistical Query Algorithms for Mean Vector Estimation and Stochastic Convex Optimization**Open Problem: The Oracle Complexity of Convex Optimization in Nonstandard Settings*. COLT 2015 Proceedings*Network Congestion Control with Markovian Multipath Routing*

## Submitted

*Fast, Deterministic and Sparse Dimensionality Reduction*(with D. Dadush and N. Olver), 2017*Network Pricing: How to Induce Optimal Flows Under Strategic Link Operators*(with J. Correa, T. Lianeas, E. Nikolova and M. Schröder), 2017*An Optimal Affine Invariant Smooth Minimization Algorithm*

## Theses

*Information, Complexity and Structure in Convex Optimization*. Ph.D. Thesis, Georgia Inst. of Technology, 2015*Un Modelo de Equilibrio para Ruteo y Control de Flujo en Redes de Comunicaciones*(in Spanish). Mathematical Engineering thesis, Universidad de Chile, 2010

## Popular Exposition

*Congested Roads**Traffic Congestion Models*(with P. Kleer). Introductory articles for The Network Pages, 2015

## Collaborators

I have been extremely fortunate to work with the following colleagues:

Gábor Braun, Roberto Cominetti, José Correa, Alexandre d’Aspremont, Daniel Dadush, Maria Dostert, Vitaly Feldman, Martin Jaggi, Thanasis Lianeas, Arkadi Nemirovski, Evdokia Nikolova, Fernando M. de Oliveira Filho, Neil Olver, Sebastian Pokutta, Marc Schröder, Frank Vallentin and Santosh Vempala