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Talks and Presentations

A Brief Survey on Debordering Paradigms and Its Recent Advances [slides][video].

A Brief Survey on Polynomial Identity Testing [slides].

Recent Advances in Polynomial Identity Testing [slides].

Unified Approach to Lower Bounds and Derandomization [slides].

Border rank, homogeneity and de-bordering paradigms in GCT [slides].

Polynomial Factorization: Recent advances, and challenges [slides].

From Hilbert's Entscheidungsproblem to Mulmuley's Geometric Complexity: Where algebra meets computation [slides].

On the border complexity of binomials (& more) [slides].

Power and limitation of border depth-3 algebraic circuits.

Exponential-gap fanin-hierarchy for border depth-3 circuits [slides][video].

Demystifying the Border depth-3 algebraic circuits [poster][slides][video]. 

Real \tau-Conjecture for Sum-of-squares: A Unified Approach to Lower Bound and Derandomization [slides]

A Largish Sum-of-Squares Implies Circuit Hardness and Derandomization [slides].     

From Sum-of-Squares (SOS) to hardness and derandomization [slides].

Lower bounds on the sum of 25th-powers of univariates lead to complete derandomization of PIT [slides][video]

Lower bound and Complexity Theory.                                                                    

A brief survey on univariate lower bounds.                                                                     

Some results on factoring and its applications.                                                                     

Discovering the roots: Uniform closure results for algebraic classes under factoring.           

Finding square-root mod p [slides].                                                                                    




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