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Publications

Listed by year, newest first. Coauthors are listed alphabetically.

TikZ code for the diagrams is available on GitHub.

2026

  • Tight lower bounds for algebraic communication and applications

    with Manon Blanc, Magnus Rahbek Dalgaard Hansen, Nutan Limaye, and Meena Mahajan

    Manuscript

    Submitted, 2026

  • Lower Bounds in Algebraic Complexity via Symmetry and Homomorphism Polynomials

    with Benedikt Pago and Tim Seppelt

    STOC 2026 Symposium on Theory of Computing

  • On Closure Properties of Read-Once Oblivious Algebraic Branching Programs

    with Robert Andrews, Jules Armand, Magnus Hansen, Nutan Limaye, Srikanth Srinivasan, and Sébastien Tavenas

    ITCS 2026 Innovations in Theoretical Computer Science

    HALG 2026 · Highlights of Algorithms · Poster presentation

2025

  • A primer on the closure of algebraic complexity classes under factoring

    with C. S. Bhargav and Nitin Saxena

    Survey

    RTCA 2025 · Recent Trends in Computer Algebra · To appear in the proceedings

  • Monotone Bounded-Depth Complexity of Homomorphism Polynomials

    with C. S. Bhargav, Shiteng Chen, and Radu Curticapean

    MFCS 2025 Mathematical Foundations of Computer Science

  • Treading the Borders for Explicitness, Circuit Factoring, and Identity Testing

    PhD thesis

    CSE, IIT Kanpur, 2025

2024

  • Learning the coefficients: A presentable version of border complexity and applications to circuit factoring

    with C. S. Bhargav and Nitin Saxena

    STOC 2024 Symposium on Theory of Computing

  • Lower Bounds for the Sum of Small-Size Algebraic Branching Programs

    with C. S. Bhargav and Nitin Saxena

    TAMC 2024 Theory and Applications of Models of Computation

    TCS Theoretical Computer Science Invited to the special issue

2021

  • Demystifying the border of depth-3 algebraic circuits

    with Pranjal Dutta and Nitin Saxena

    FOCS 2021 Foundations of Computer Science

    SICOMP SIAM Journal on Computing Invited to the special issue

  • Deterministic identity testing paradigms for bounded top-fanin depth-4 circuits

    with Pranjal Dutta and Nitin Saxena

    CCC 2021 Computational Complexity Conference

    ToC 2026 Theory of Computing To appear