Neeraj Kayal

Principal Researcher

출판물

자료 보기:

- Incorporating Token Importance in Multi-Vector Retrieval
  
  S. Archish, Ankit Garg, Kirankumar Shiragur, Neeraj Kayal
  
  November 2025
  
  Publication
- Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning
  
  Pritam Chandra, Ankit Garg, Neeraj Kayal, Kunal Mittal, Tanmay Sinha
  
  Electronic Colloquium on Computational Complexity, 2023 | November 2023
  
  DOI Publication
- Low-depth arithmetic circuit lower bounds via shifted partials
  
  Prashanth Amireddy, Ankit Garg, Neeraj Kayal, Chandan Saha, Bhargav Thankey
  
  Electronic Colloquium on Computational Complexity, 2022 | November 2022
  
  DOI Publication
- Learning sums of powers of low-degree polynomials in the non-degenerate case
  
  Ankit Garg, Neeraj Kayal, Chandan Saha
  
  2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) | April 2020, pp. 889-899
  
  DOI Publication Publication Publication
- An almost Cubic Lower Bound for Depth Three Arithmetic Circuits
  
  Neeraj Kayal, Chandan Saha, Sébastien Tavenas
  
  ICALP 2016 | July 2016
  
  DOI Publication Publication
- Multi-k-ic depth three circuit lower bound
  
  Neeraj Kayal, Chandan Saha
  
  Symposium on Theoretical Aspects of Computer Science (STACS) | March 2015
  
  Symposium on Theoretical Aspects of Computer Science (STACS)
  
  출판
- An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas
  
  Neeraj Kayal, Nutan Limaye, Chandan Saha, Srikanth Srinivasan
  
  Foundations of Computer Science (FOCS) | October 2014
  
  Invited to Special Issue of SICOMP journal
  
  출판
- A super-polynomial lower bound for regular arithmetic formulas.
  
  Neeraj Kayal, Chandan Saha, Ramprasad Saptharishi
  
  Symposium on Theory of Computing (STOC) | June 2014
  
  Symposium on Theory of Computing (STOC)
  
  출판
- Super-polynomial lower bounds for depth four homogeneous arithmetic formulas
  
  Neeraj Kayal, Nutan Limaye, Chandan Saha, Srikanth Srinivasan
  
  Symposium on Theory of Computing (STOC) | June 2014
  
  출판
- A selection of lower bounds for arithmetic circuits
  
  Neeraj Kayal, Ramprasad Saptharishi
  
  Special issue on the occassion of 60th Birthday of Somenath Biswas | 글쓴이 Springer Verlag | 2014 | Special issue on the occassion of 60th Birthday of Somenath Biswas edition
  
  출판
- Approaching the chasm at depth four
  
  Ankit Gupta, Pritish Kamath, Neeraj Kayal, Ramprasad Saptharishi
  
  Conference on Computational Complexity | June 2013
  
  Conference on Computational Complexity
  
  Best Paper Award
  
  출판
- Random Arithmetic Formulas can be Reconstructed Efficiently
  
  Ankit Gupta, Neeraj Kayal, Youming Qiao
  
  Conference on Computational Complexity | June 2013
  
  Invited to Special Issue of Computational Complexity journal
  
  출판 출판
- Arithmetic Circuits: A chasm at depth three
  
  Ankit Gupta, Pritish Kamath, Neeraj Kayal, Ramprasad Saptharishi
  
  Foundations of Computer Science (FOCS) | March 2013
  
  Invited to Special Issue of SICOMP journal
  
  출판
- Affine Projections of Polynomials
  
  Neeraj Kayal
  
  Symposium on Theory of Computing (STOC) | January 2012
  
  출판
- Reconstruction of Depth-4 Multilinear Circuits with Top Fan-in Two
  
  Ankit Gupta, Neeraj Kayal, Satya Lokam
  
  Symposium on Theory of Computing (STOC) | January 2012
  
  출판
- Efficient Reconstruction of Random Multilinear Formulas
  
  Neeraj Kayal, Ankit Gupta, Satya Lokam
  
  Foundations of Computer Science (FOCS) | October 2011
  
  출판
- On the Sum of Square Roots of Polynomials and related problems
  
  Neeraj Kayal, Chandan Saha
  
  Conference on Computational Complexity (CCC) | June 2011
  
  Invited to ToCT journal
  
  출판
- Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant
  
  Michael Forbes, Neeraj Kayal, Rajat Mittal, Chandan Saha
  
  April 2011
  
  출판
- Efficient algorithms for some special cases of the polynomial equivalence problem
  
  Neeraj Kayal
  
  Symposium on Discrete Algorithms (SODA) | January 2011
  
  출판
- Partial Derivatives in Arithmetic Complexity and beyond
  
  Xi Chen, Neeraj Kayal, Avi Wigderson
  
  Foundations and Trends in Theoretical Computer Science | January 2010
  
  출판
- Blackbox Polynomial Identity Testing for Depth 3 Circuits
  
  Neeraj Kayal, Shubhangi Saraf
  
  Foundations of Computer Science (FOCS) | January 2009
  
  Foundations of Computer Science (FOCS)
  
  출판 출판
- Factoring Groups Efficiently
  
  Neeraj Kayal, Timur Nezhmetdinov
  
  International Colloquium on Automata, Languages and Programming (ICALP) | January 2009
  
  ISBN: 978-3-642-02926-4
  
  출판 출판
- The complexity of the annihilating polynomial
  
  Neeraj Kayal
  
  Conference on Computational Complexity (CCC) | January 2009
  
  출판
- Complexity of Ring Morphism Problems
  
  Neeraj Kayal, Nitin Saxena
  
  Computational Complexity | June 2006, 제 15 권: pp. 342-390
  
  Invited to Special Issue of Computational Complexity Journal
  
  출판 출판
- Derandomizing some algebraic and number-theoretic algorithms
  
  Neeraj Kayal
  
  January 2006
  
  January 2006
  
  출판 출판
- Solvability of a System of Bivariate Polynomial Equations over a Finite Field
  
  Neeraj Kayal
  
  International Colloquium on Automata, Languages and Programming (ICALP) | July 2005
  
  ISBN: 3-540-27580-0
  
  Best Student Paper Award
  
  출판 출판
- Primes is in P
  
  Manindra Agrawal, Neeraj Kayal, Nitin Saxena
  
  Annals of Mathematics | June 2004, 제 160 권: pp. 781-793
  
  Godel Prize, Fulkerson Prize
  
  출판

- Incorporating Token Importance in Multi-Vector Retrieval
  
  S. Archish, Ankit Garg, Kirankumar Shiragur, Neeraj Kayal
  
  November 2025
  
  Publication
- Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning
  
  Pritam Chandra, Ankit Garg, Neeraj Kayal, Kunal Mittal, Tanmay Sinha
  
  Electronic Colloquium on Computational Complexity, 2023 | November 2023
  
  DOI Publication
- Low-depth arithmetic circuit lower bounds via shifted partials
  
  Prashanth Amireddy, Ankit Garg, Neeraj Kayal, Chandan Saha, Bhargav Thankey
  
  Electronic Colloquium on Computational Complexity, 2022 | November 2022
  
  DOI Publication
- Learning sums of powers of low-degree polynomials in the non-degenerate case
  
  Ankit Garg, Neeraj Kayal, Chandan Saha
  
  2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) | April 2020, pp. 889-899
  
  DOI Publication Publication Publication
- Multi-k-ic depth three circuit lower bound
  
  Neeraj Kayal, Chandan Saha
  
  Symposium on Theoretical Aspects of Computer Science (STACS) | March 2015
  
  Symposium on Theoretical Aspects of Computer Science (STACS)
  
  출판
- An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas
  
  Neeraj Kayal, Nutan Limaye, Chandan Saha, Srikanth Srinivasan
  
  Foundations of Computer Science (FOCS) | October 2014
  
  Invited to Special Issue of SICOMP journal
  
  출판
- Super-polynomial lower bounds for depth four homogeneous arithmetic formulas
  
  Neeraj Kayal, Nutan Limaye, Chandan Saha, Srikanth Srinivasan
  
  Symposium on Theory of Computing (STOC) | June 2014
  
  출판
- A super-polynomial lower bound for regular arithmetic formulas.
  
  Neeraj Kayal, Chandan Saha, Ramprasad Saptharishi
  
  Symposium on Theory of Computing (STOC) | June 2014
  
  Symposium on Theory of Computing (STOC)
  
  출판
- A selection of lower bounds for arithmetic circuits
  
  Neeraj Kayal, Ramprasad Saptharishi
  
  Special issue on the occassion of 60th Birthday of Somenath Biswas | 글쓴이 Springer Verlag | 2014 | Special issue on the occassion of 60th Birthday of Somenath Biswas edition
  
  출판
- Approaching the chasm at depth four
  
  Ankit Gupta, Pritish Kamath, Neeraj Kayal, Ramprasad Saptharishi
  
  Conference on Computational Complexity | June 2013
  
  Conference on Computational Complexity
  
  Best Paper Award
  
  출판
- Random Arithmetic Formulas can be Reconstructed Efficiently
  
  Ankit Gupta, Neeraj Kayal, Youming Qiao
  
  Conference on Computational Complexity | June 2013
  
  Invited to Special Issue of Computational Complexity journal
  
  출판 출판
- Arithmetic Circuits: A chasm at depth three
  
  Ankit Gupta, Pritish Kamath, Neeraj Kayal, Ramprasad Saptharishi
  
  Foundations of Computer Science (FOCS) | March 2013
  
  Invited to Special Issue of SICOMP journal
  
  출판
- Affine Projections of Polynomials
  
  Neeraj Kayal
  
  Symposium on Theory of Computing (STOC) | January 2012
  
  출판
- On the Sum of Square Roots of Polynomials and related problems
  
  Neeraj Kayal, Chandan Saha
  
  Conference on Computational Complexity (CCC) | June 2011
  
  Invited to ToCT journal
  
  출판
- Efficient algorithms for some special cases of the polynomial equivalence problem
  
  Neeraj Kayal
  
  Symposium on Discrete Algorithms (SODA) | January 2011
  
  출판
- Blackbox Polynomial Identity Testing for Depth 3 Circuits
  
  Neeraj Kayal, Shubhangi Saraf
  
  Foundations of Computer Science (FOCS) | January 2009
  
  Foundations of Computer Science (FOCS)
  
  출판 출판
- Factoring Groups Efficiently
  
  Neeraj Kayal, Timur Nezhmetdinov
  
  International Colloquium on Automata, Languages and Programming (ICALP) | January 2009
  
  ISBN: 978-3-642-02926-4
  
  출판 출판
- Complexity of Ring Morphism Problems
  
  Neeraj Kayal, Nitin Saxena
  
  Computational Complexity | June 2006, 제 15 권: pp. 342-390
  
  Invited to Special Issue of Computational Complexity Journal
  
  출판 출판
- Derandomizing some algebraic and number-theoretic algorithms
  
  Neeraj Kayal
  
  January 2006
  
  January 2006
  
  출판 출판
- Solvability of a System of Bivariate Polynomial Equations over a Finite Field
  
  Neeraj Kayal
  
  International Colloquium on Automata, Languages and Programming (ICALP) | July 2005
  
  ISBN: 3-540-27580-0
  
  Best Student Paper Award
  
  출판 출판
- Primes is in P
  
  Manindra Agrawal, Neeraj Kayal, Nitin Saxena
  
  Annals of Mathematics | June 2004, 제 160 권: pp. 781-793
  
  Godel Prize, Fulkerson Prize
  
  출판
- Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning
  
  Pritam Chandra, Ankit Garg, Neeraj Kayal, Kunal Mittal, Tanmay Sinha
  
  Electronic Colloquium on Computational Complexity, 2023 | November 2023
  
  DOI Publication
- Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning
  
  Pritam Chandra, Ankit Garg, Neeraj Kayal, Kunal Mittal, Tanmay Sinha
  
  Electronic Colloquium on Computational Complexity, 2023 | November 2023
  
  DOI Publication
- Learning sums of powers of low-degree polynomials in the non-degenerate case
  
  Ankit Garg, Neeraj Kayal, Chandan Saha
  
  2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) | April 2020, pp. 889-899
  
  DOI Publication Publication Publication
- An almost Cubic Lower Bound for Depth Three Arithmetic Circuits
  
  Neeraj Kayal, Chandan Saha, Sébastien Tavenas
  
  ICALP 2016 | July 2016
  
  DOI Publication Publication
- Reconstruction of Depth-4 Multilinear Circuits with Top Fan-in Two
  
  Ankit Gupta, Neeraj Kayal, Satya Lokam
  
  Symposium on Theory of Computing (STOC) | January 2012
  
  출판
- Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant
  
  Michael Forbes, Neeraj Kayal, Rajat Mittal, Chandan Saha
  
  April 2011
  
  출판
- Efficient algorithms for some special cases of the polynomial equivalence problem
  
  Neeraj Kayal
  
  Symposium on Discrete Algorithms (SODA) | January 2011
  
  출판
- The complexity of the annihilating polynomial
  
  Neeraj Kayal
  
  Conference on Computational Complexity (CCC) | January 2009
  
  출판
- Derandomizing some algebraic and number-theoretic algorithms
  
  Neeraj Kayal
  
  January 2006
  
  January 2006
  
  출판 출판
- Efficient Reconstruction of Random Multilinear Formulas
  
  Neeraj Kayal, Ankit Gupta, Satya Lokam
  
  Foundations of Computer Science (FOCS) | October 2011
  
  출판
- Partial Derivatives in Arithmetic Complexity and beyond
  
  Xi Chen, Neeraj Kayal, Avi Wigderson
  
  Foundations and Trends in Theoretical Computer Science | January 2010
  
  출판

- Incorporating Token Importance in Multi-Vector Retrieval
  
  S. Archish, Ankit Garg, Kirankumar Shiragur, Neeraj Kayal
  
  November 2025
  
  Publication
- Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning
  
  Pritam Chandra, Ankit Garg, Neeraj Kayal, Kunal Mittal, Tanmay Sinha
  
  Electronic Colloquium on Computational Complexity, 2023 | November 2023
  
  DOI Publication
- Low-depth arithmetic circuit lower bounds via shifted partials
  
  Prashanth Amireddy, Ankit Garg, Neeraj Kayal, Chandan Saha, Bhargav Thankey
  
  Electronic Colloquium on Computational Complexity, 2022 | November 2022
  
  DOI Publication
- Learning sums of powers of low-degree polynomials in the non-degenerate case
  
  Ankit Garg, Neeraj Kayal, Chandan Saha
  
  2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) | April 2020, pp. 889-899
  
  DOI Publication Publication Publication
- Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant
  
  Michael Forbes, Neeraj Kayal, Rajat Mittal, Chandan Saha
  
  April 2011
  
  출판
- Partial Derivatives in Arithmetic Complexity and beyond
  
  Xi Chen, Neeraj Kayal, Avi Wigderson
  
  Foundations and Trends in Theoretical Computer Science | January 2010
  
  출판
- Complexity of Ring Morphism Problems
  
  Neeraj Kayal, Nitin Saxena
  
  Computational Complexity | June 2006, 제 15 권: pp. 342-390
  
  Invited to Special Issue of Computational Complexity Journal
  
  출판 출판
- Primes is in P
  
  Manindra Agrawal, Neeraj Kayal, Nitin Saxena
  
  Annals of Mathematics | June 2004, 제 160 권: pp. 781-793
  
  Godel Prize, Fulkerson Prize
  
  출판
- An almost Cubic Lower Bound for Depth Three Arithmetic Circuits
  
  Neeraj Kayal, Chandan Saha, Sébastien Tavenas
  
  ICALP 2016 | July 2016
  
  DOI Publication Publication
- Multi-k-ic depth three circuit lower bound
  
  Neeraj Kayal, Chandan Saha
  
  Symposium on Theoretical Aspects of Computer Science (STACS) | March 2015
  
  Symposium on Theoretical Aspects of Computer Science (STACS)
  
  출판
- An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas
  
  Neeraj Kayal, Nutan Limaye, Chandan Saha, Srikanth Srinivasan
  
  Foundations of Computer Science (FOCS) | October 2014
  
  Invited to Special Issue of SICOMP journal
  
  출판
- Super-polynomial lower bounds for depth four homogeneous arithmetic formulas
  
  Neeraj Kayal, Nutan Limaye, Chandan Saha, Srikanth Srinivasan
  
  Symposium on Theory of Computing (STOC) | June 2014
  
  출판
- A super-polynomial lower bound for regular arithmetic formulas.
  
  Neeraj Kayal, Chandan Saha, Ramprasad Saptharishi
  
  Symposium on Theory of Computing (STOC) | June 2014
  
  Symposium on Theory of Computing (STOC)
  
  출판
- Approaching the chasm at depth four
  
  Ankit Gupta, Pritish Kamath, Neeraj Kayal, Ramprasad Saptharishi
  
  Conference on Computational Complexity | June 2013
  
  Conference on Computational Complexity
  
  Best Paper Award
  
  출판
- Random Arithmetic Formulas can be Reconstructed Efficiently
  
  Ankit Gupta, Neeraj Kayal, Youming Qiao
  
  Conference on Computational Complexity | June 2013
  
  Invited to Special Issue of Computational Complexity journal
  
  출판 출판
- Arithmetic Circuits: A chasm at depth three
  
  Ankit Gupta, Pritish Kamath, Neeraj Kayal, Ramprasad Saptharishi
  
  Foundations of Computer Science (FOCS) | March 2013
  
  Invited to Special Issue of SICOMP journal
  
  출판
- Reconstruction of Depth-4 Multilinear Circuits with Top Fan-in Two
  
  Ankit Gupta, Neeraj Kayal, Satya Lokam
  
  Symposium on Theory of Computing (STOC) | January 2012
  
  출판
- Affine Projections of Polynomials
  
  Neeraj Kayal
  
  Symposium on Theory of Computing (STOC) | January 2012
  
  출판
- Efficient Reconstruction of Random Multilinear Formulas
  
  Neeraj Kayal, Ankit Gupta, Satya Lokam
  
  Foundations of Computer Science (FOCS) | October 2011
  
  출판
- On the Sum of Square Roots of Polynomials and related problems
  
  Neeraj Kayal, Chandan Saha
  
  Conference on Computational Complexity (CCC) | June 2011
  
  Invited to ToCT journal
  
  출판
- Efficient algorithms for some special cases of the polynomial equivalence problem
  
  Neeraj Kayal
  
  Symposium on Discrete Algorithms (SODA) | January 2011
  
  출판
- Blackbox Polynomial Identity Testing for Depth 3 Circuits
  
  Neeraj Kayal, Shubhangi Saraf
  
  Foundations of Computer Science (FOCS) | January 2009
  
  Foundations of Computer Science (FOCS)
  
  출판 출판
- Factoring Groups Efficiently
  
  Neeraj Kayal, Timur Nezhmetdinov
  
  International Colloquium on Automata, Languages and Programming (ICALP) | January 2009
  
  ISBN: 978-3-642-02926-4
  
  출판 출판
- The complexity of the annihilating polynomial
  
  Neeraj Kayal
  
  Conference on Computational Complexity (CCC) | January 2009
  
  출판
- Solvability of a System of Bivariate Polynomial Equations over a Finite Field
  
  Neeraj Kayal
  
  International Colloquium on Automata, Languages and Programming (ICALP) | July 2005
  
  ISBN: 3-540-27580-0
  
  Best Student Paper Award
  
  출판 출판
- A selection of lower bounds for arithmetic circuits
  
  Neeraj Kayal, Ramprasad Saptharishi
  
  Special issue on the occassion of 60th Birthday of Somenath Biswas | 글쓴이 Springer Verlag | 2014 | Special issue on the occassion of 60th Birthday of Somenath Biswas edition
  
  출판
- Derandomizing some algebraic and number-theoretic algorithms
  
  Neeraj Kayal
  
  January 2006
  
  January 2006
  
  출판 출판

Neeraj Kayal

출판물

Incorporating Token Importance in Multi-Vector Retrieval

Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning

Low-depth arithmetic circuit lower bounds via shifted partials

Learning sums of powers of low-degree polynomials in the non-degenerate case

An almost Cubic Lower Bound for Depth Three Arithmetic Circuits

Multi-k-ic depth three circuit lower bound

An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas

A super-polynomial lower bound for regular arithmetic formulas.

Super-polynomial lower bounds for depth four homogeneous arithmetic formulas

A selection of lower bounds for arithmetic circuits

Approaching the chasm at depth four

Random Arithmetic Formulas can be Reconstructed Efficiently

Arithmetic Circuits: A chasm at depth three

Affine Projections of Polynomials

Reconstruction of Depth-4 Multilinear Circuits with Top Fan-in Two

Efficient Reconstruction of Random Multilinear Formulas

On the Sum of Square Roots of Polynomials and related problems

Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant

Efficient algorithms for some special cases of the polynomial equivalence problem

Partial Derivatives in Arithmetic Complexity and beyond

Blackbox Polynomial Identity Testing for Depth 3 Circuits

Factoring Groups Efficiently

The complexity of the annihilating polynomial

Complexity of Ring Morphism Problems

Derandomizing some algebraic and number-theoretic algorithms

Solvability of a System of Bivariate Polynomial Equations over a Finite Field

Primes is in P

Incorporating Token Importance in Multi-Vector Retrieval

Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning

Low-depth arithmetic circuit lower bounds via shifted partials

Learning sums of powers of low-degree polynomials in the non-degenerate case

Multi-k-ic depth three circuit lower bound

An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas

Super-polynomial lower bounds for depth four homogeneous arithmetic formulas

A super-polynomial lower bound for regular arithmetic formulas.

A selection of lower bounds for arithmetic circuits

Approaching the chasm at depth four

Random Arithmetic Formulas can be Reconstructed Efficiently

Arithmetic Circuits: A chasm at depth three

Affine Projections of Polynomials

On the Sum of Square Roots of Polynomials and related problems

Efficient algorithms for some special cases of the polynomial equivalence problem

Blackbox Polynomial Identity Testing for Depth 3 Circuits

Factoring Groups Efficiently

Complexity of Ring Morphism Problems

Derandomizing some algebraic and number-theoretic algorithms

Solvability of a System of Bivariate Polynomial Equations over a Finite Field

Primes is in P

Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning

Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning

Learning sums of powers of low-degree polynomials in the non-degenerate case

An almost Cubic Lower Bound for Depth Three Arithmetic Circuits

Reconstruction of Depth-4 Multilinear Circuits with Top Fan-in Two

Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant

Efficient algorithms for some special cases of the polynomial equivalence problem

The complexity of the annihilating polynomial

Derandomizing some algebraic and number-theoretic algorithms

Efficient Reconstruction of Random Multilinear Formulas

Partial Derivatives in Arithmetic Complexity and beyond

Incorporating Token Importance in Multi-Vector Retrieval

Learning Arithmetic Formulas in the Presence of Noise: A General Framework and Applications to Unsupervised Learning

Low-depth arithmetic circuit lower bounds via shifted partials

Learning sums of powers of low-degree polynomials in the non-degenerate case

Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant

Partial Derivatives in Arithmetic Complexity and beyond

Complexity of Ring Morphism Problems

Primes is in P

An almost Cubic Lower Bound for Depth Three Arithmetic Circuits

Multi-k-ic depth three circuit lower bound

An Exponential Lower Bound for Homogeneous Depth Four Arithmetic Formulas

Super-polynomial lower bounds for depth four homogeneous arithmetic formulas

A super-polynomial lower bound for regular arithmetic formulas.

Approaching the chasm at depth four

Random Arithmetic Formulas can be Reconstructed Efficiently

Arithmetic Circuits: A chasm at depth three

Reconstruction of Depth-4 Multilinear Circuits with Top Fan-in Two

Affine Projections of Polynomials

Efficient Reconstruction of Random Multilinear Formulas