Avishay Tal

Hi, I'm Avishay, a postdoctoral scholar hosted by Omer Reingold at Stanford's theory group

Between September 2015 and July 2017 I was a postdoctoral researcher in the CSDM group at the Institute for Advanced Study and a scientist in the Simons Collaboration on Algorithms and Geometry.

In September 2015, I received my PhD from the Weizmann Institute of Science, under the guidance of Ran Raz. Before that, I was an MSc student at the Technion under the guidance of Amir Shpilka. I feel fortunate to have had both Amir and Ran as my mentors.


Main Research Interests:
  • Computational Complexity, 
  • Analysis of Boolean Functions, 
  • Circuit and Formula Lower Bounds, 
  • Query Complexity, 
  • Pseudorandomness, 
  • Learning, 
  • Combinatorics, 
  • and the connections between Algorithms and Lower Bounds. 

My Curriculum Vitae (updated: March 2018).


Contact Information

Address: Stanford University, William Gates Building, 353 Serra Mall, Wing 4B MC: 9045, Stanford, CA 94305
E-mail: avishay "dot" tal "at" gmail.com


Publications

Pseudorandom Generators for Width-3 Branching Programs
PDF
joint with Raghu Meka and Omer Reingold.
[Oded's choices]

Oracle Separation of BQP and PH
PDF
joint with Ran Raz.
[Computational Complexity Blog] [Shtetl-Optimized] [Windows on Theory]
[New Scientist] [Quanta] [The Hindu]

Improved Pseudorandomness for Unordered Branching Programs through Local Monotonicity
PDF
joint with Eshan Chattopadhyay, Pooya Hatami and Omer Reingold.
STOC, 2018.

Extractor-Based Time-Space Lower Bounds for Learning
PDF
joint with Sumegha Garg and Ran Raz.
STOC, 2018.

On Constant-Depth Canonical Boolean Circuits for Computing Multilinear Functions
PDF
joint with Oded Goldreich.

The Choice and Agreement Problems of a Random Function
PDF
joint with Or Meir.
Information Processing Letters, Volume 133, 2018.

Pseudorandom Generators for Low Sensitivity Functions
PDF
joint with Pooya Hatami.
ITCS, 2018.

Robust Sensitivity
PDF
joint with Shachar Lovett and Jiapeng Zhang.
SODA, 2018.

Lower Bounds for 2-Query LCCs over Large Alphabet
PDF
joint with Arnab Bhattacharyya and Sivakanth Gopi.
RANDOM, 2017.

Tight Bounds on The Fourier Spectrum of AC0
PDF Slides
CCC, 2017.
[Oded's choices]

The Bipartite Formula Complexity of Inner-Product is Quadratic
PDF
STOC, 2017 (merged with "Computing Requires Larger Formulas than Approximating").

Computing Requires Larger Formulas than Approximating
PDF Slides TCS+ Talk
STOC, 2017 (merged with "The Bipartite Formula Complexity of Inner-Product is Quadratic").
[Oded's choices]

Time-Space Hardness of Learning Sparse Parities
PDF Slides
joint with Gillat Kol and Ran Raz.
STOC, 2017.

Low-Sensitivity Functions from Unambiguous Certificates
PDF
joint with Shalev Ben-David and Pooya Hatami.
ITCS, 2017.

Degree and Sensitivity: Tails of Two Distributions
PDF
joint with Parikshit Gopalan, Rocco Servedio and Avi Wigderson.
(a preliminary version of this paper by Gopalan, Servedio and Wigderson appeared in CCC, 2016).

On the Sensitivity Conjecture
PDF Slides
ICALP, 2016.

#SAT Algorithms from Shrinkage
PDF

Matrix Rigidity of Random Toeplitz Matrices
PDF Journal-version Slides (STOC) Slides (longer version)
joint with Oded Goldreich.
Computational Complexity, 2016 (preliminary version in STOC, 2016).

Shrinkage of De Morgan Formulae by Spectral Techniques
PDF Slides
FOCS, 2014.

On Fractional Block Sensitivity
PDF Journal-version
joint with Raghav Kulkarni.
CJTCS, 2016.

Two Structural Results for Low Degree Polynomials and Applications
PDF Video (IAS) Slides (RANDOM)
joint with Gil Cohen.
RANDOM, 2015.
An implementation of the algorithm suggested in Theorem 4.1.

On the Structure of Boolean Functions with Small Spectral Norm
PDF
joint with Amir Shpilka and Ben lee Volk.
Computational Complexity, 2015 (preliminary version in ITCS, 2014).

Improved Average-Case Lower Bounds for De Morgan Formula Size
PDF Journal-version Slides
joint with Ilan Komargodski and Ran Raz.
SICOMP, 2017 (preliminary version in FOCS, 2013).

Properties and Applications of Boolean Function Composition
PDF Slides
ITCS, 2013. (Best Student Paper)
[Oded's choices]

On the Degree of Univariate Polynomials Over the Integers
PDF Journal-version
joint with Gil Cohen and Amir Shpilka.
Combinatorica, 2016 (preliminary version in ITCS, 2012).

On The Minimal Fourier Degree of Symmetric Boolean Functions
PDF  Journal-version  Slides  Amir@MSR
joint with Amir Shpilka.
Combinatorica, 2014 (preliminary version in CCC, 2011).
[Richard Lipton's Blog Post]  [2]