# Research

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

## Journals

Journals

*Optimal Affine Invariant Smooth Minimization Algorithms**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

Conferences

*Network Pricing: How to Induce Optimal Flows Under Strategic Link Operators**Fast, Deterministic and Sparse Dimensionality Reduction**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

Submitted

*Lower Bounds for Parallel and Randomized Convex Optimization**(with J. Diakonikolas), 2018*

## Theses

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

Popular Exposition

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

## Collaborators

Collaborators

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

Gábor Braun, Roberto Cominetti, José Correa, Alexandre d’Aspremont, Daniel Dadush, Jelena Diakonikolas, 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