Shivam Nadimpalli

Hello! I am a C.L.E. Moore Instructor of Mathematics (≈ departmental postdoc) at MIT.

I completed my PhD in the theory group at Columbia, where I was extremely fortunate to be advised by Rocco Servedio and Mihalis Yannakakis.

Email: Office: 2-376

I am on the academic job market in 2026–27, seeking faculty positions beginning in Fall 2027.

Research

My research lies at the interface of high-dimensional geometry, probability, and theoretical computer science. I am interested in understanding when and how structure in high-dimensional settings (such as convexity, low-dimensionality, or sparsity) can be efficiently recognized and exploited. My work develops efficient algorithms as well as mathematical foundations for core questions in complexity theory, learning theory, statistics, and property testing.

Selected Papers

Optimal Sparsification of Gaussian ProcessesShivam Nadimpalli(Preprint)

Gaussian Approximation of Convex Sets by Intersections of HalfspacesAnindya De, Shivam Nadimpalli, and Rocco ServedioFOCS 2024

Optimal Non-Adaptive Tolerant Junta Testing via Local EstimatorsShivam Nadimpalli and Shyamal PatelSTOC 2024

On the Pauli Spectrum of QAC0Shivam Nadimpalli, Natalie Parham, Francisca Vasconcelos, and Henry YuenSTOC 2024   QIP 2024

Quantitative Correlation Inequalities via Semigroup InterpolationAnindya De, Shivam Nadimpalli, and Rocco ServedioProbab. Theory Related Fields 2022

Service

Miscellaneous

I enjoy being outdoors, cooking, and staring at my cat.