- On the existence of algebraically natural proofs

with Prerona Chatterjee, C Ramya, Ramprasad Saptharishi and Anamay Tengse - A polynomial degree bound on the defining equations of non-rigid matrces and small linear circuits

with Ben Lee Volk - Monotone circuit lower bounds from robust sunflowers

with Bruno Pasqualotto Cavalar and Benjamin Rossman - A quadratic lower bound for algebraic branching programs and formulas

with Prerona Chatterjee, Adrian She and Ben Lee Volk

Subsumes the results in an earlier version of this paper. - Schur polynomials do not have small formulas if the determinant doesn't!

with Prasad Chaugule, Nutan Limaye, Chandra Kanta Mohapatra, Adrian She and Srikanth Srinivasan - Hardness randomness tradeoffs for algebraic computation (a survey)

with Ramprasad Saptharishi - Derandomization from algebraic hardness: Treading the borders

with Zeyu Guo, Ramprasad Saptharishi and Noam Solomon

Subsumes and improves upon some of the results in an earlier version with Ramprasad Saptharishi and Noam Solomon. - Lower bounds for matrix factorization

with Ben Lee Volk - Closure of VP under taking factors: a short and simple proof

with Chi-Ning Chao and Noam Solomon - Towards optimal depth reductions for syntactically multilinear circuits

with Rafael Oliveira and Ramprasad Saptharishi - Near optimal bootstrapping for hitting sets for algebraic models

with Ramprasad Saptharishi and Anamay Tengse - On multilinear forms : bias, correlation, and tensor rank

with Abhishek Bhrushundi, Prahladh Harsha, Pooya Hatami and Swastik Kopparty - On the power of border of depth-3 arithmetic circuits

This version improves upon the bounds in an earlier version (with a slightly different title) - Some closure results for polynomial factorization and applications

with Chi-Ning Chou and Noam Solomon - Unbalancing sets and an almost quadratic lower bound for syntactically multilinear arithmetic circuits

with Noga Alon and Ben Lee Volk

Subsumes and improves upon some of the results in an earlier paper with Ben Lee Volk - A quadratic lower bound for homogeneous algebraic branching programs
- Towards an algebraic natural proofs barrier via polynomial identity testing

with Joshua Grochow, Mike Saks and Shubhangi Saraf - Finer separations between shallow arithmetic circuits

with Ramprasad Saptharishi - The Chasm at Depth Four, and Tensor Rank : Old results, new insights

with Suryajith Chillara, Ramprasad Saptharishi and V Vinay - Functional lower bounds for arithmetic circuits and connections to boolean circuit complexity

with Michael A. Forbes and Ramprasad Saptharishi - Arithmetic circuits with locally low algebraic rank

with Shubhangi Saraf - An exponential lower bound for homogeneous depth-5 circuits over finite fields

with Ramprasad Saptharishi - Sums of products of polynomials in few variables : lower bounds and polynomial identity testing

with Shubhangi Saraf - Efficient indexing of necklaces and irreducible polynomials over finite fields

with Swastik Kopparty and Mike Saks - On the power of homogeneous depth 4 arithmetic circuits

with Shubhangi Saraf - Superpolynomial lower bounds for general homogeneous depth 4 arithmetic circuits

with Shubhangi Saraf - The limits of depth reduction for arithmetic formulas: It's all about the top fan-in

with Shubhangi Saraf - Lower bounds for depth 4 homogenous circuits with bounded top fanin

with Shubhangi Saraf - Arithmetic circuit lower bounds via
maximum-rank of partial derivative matrices

with Gaurav Maheshwari and Jayalal Sarma - Faster parameterized algorithms for deletion to split graphs

with Esha Ghosh, Sudeshna Kolay, Pranabendu Misra, Fahad Panolan, Ashutosh Rai and M.S Ramanujan - Approximation algorithms for node deletion problems on bipartite graphs with finite forbidden subgraph characterization

with Sounaka Mishra, N. Safina Devi and Saket Saurabh