| 2019 | FOCS | Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes. | Peter Brgisser, Cole Franks, Ankit Garg, Rafael Mendes de Oliveira, Michael Walter, Avi Wigderson |
| 2019 | FOCS | More Barriers for Rank Methods, via a "numeric to Symbolic" Transfer. | Ankit Garg, Visu Makam, Rafael Mendes de Oliveira, Avi Wigderson |
| 2019 | ICALP | Towards Optimal Depth Reductions for Syntactically Multilinear Circuits. | Mrinal Kumar, Rafael Mendes de Oliveira, Ramprasad Saptharishi |
| 2018 | FOCS | Efficient Algorithms for Tensor Scaling, Quantum Marginals, and Moment Polytopes. | Peter Brgisser, Cole Franks, Ankit Garg, Rafael Mendes de Oliveira, Michael Walter, Avi Wigderson |
| 2018 | STOC | Operator scaling via geodesically convex optimization, invariant theory and polynomial identity testing. | Zeyuan Allen-Zhu, Ankit Garg, Yuanzhi Li, Rafael Mendes de Oliveira, Avi Wigderson |
| 2017 | FOCS | Much Faster Algorithms for Matrix Scaling. | Zeyuan Allen-Zhu, Yuanzhi Li, Rafael Mendes de Oliveira, Avi Wigderson |
| 2017 | SODA | Locally Testable and Locally Correctable Codes Approaching the Gilbert-Varshamov Bound. | Sivakanth Gopi, Swastik Kopparty, Rafael Mendes de Oliveira, Noga Ron-Zewi, Shubhangi Saraf |
| 2017 | STOC | Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling. | Ankit Garg, Leonid Gurvits, Rafael Mendes de Oliveira, Avi Wigderson |
| 2016 | FOCS | A Deterministic Polynomial Time Algorithm for Non-commutative Rational Identity Testing. | Ankit Garg, Leonid Gurvits, Rafael Mendes de Oliveira, Avi Wigderson |