I am a member of Courant's Theoretical Computer Science Group. My work is in the areas of cryptography, quantum computation, and complexity theory. A main focus of my research is on latticebased cryptography, and specifically the Learning With Errors problem. I am also most interested in questions in biology, specifically in deciphering the premRNA splicing code.
Research
Theoretical computer science and cryptography: A main focus of our research is on latticebased cryptography, and specifically, the Learning With Errors (LWE) problem. Latticebased cryptography offers many advantages over traditional numbertheoretic cryptography, including its conjectured security against quantum computers, making it one of the leading candidates for postquantum (or quantumresistant) cryptography. It is also incredibly versatile, allowing the construction of advanced cryptographic protocols like fully homomorphic encryption.
Splicing code: Genes in our genome contain long "comments", known as introns, that are removed in a process called splicing shortly after the DNA gets transcribed into RNA. The sequence features that demarcate those introns are highly intricate and are known as the splicing code. In our lab, we are combining wet lab highthroughput experiments with machine learning analysis to gain insight into this remarkable process. We expect our results to have implications for diagnosis of genetic disorders and for RNA therapeutics.
Students
Ph.D.
 Min jae Song (with Joan Bruna)
 Shravas Rao (2018)
 Alexander Golovnev (2017, with Yevgeniy Dodis)
 Noah StephensDavidowitz (2017, with Yevgeniy Dodis)
 Klim Efremenko (2012, with Amnon TaShma)
 Ishay Haviv (2011)
 Avi BenAroya (2011, with Amnon TaShma)
 Iftah Gamzu (2010, with Yossi Azar)
 Ricky Rosen (2010, with Ran Raz)
MS
 Guy Moshkovitz (2011)
 Michal Moshkovitz (2010, joint with Amir Shpilka)
 Liron Schiff (2008)
 Lior Eldar (2008)
 Ishay Haviv (2006)
 Ricky Rosen (2005)
Postdocs
 Young Kun Ko, joint with Subhash Khot (Ph.D. 2018, Princeton)
 Euiwoong Lee, joint with Subhash Khot (Ph.D. 2017, CMU)
 Omri Weinstein (Ph.D. 2015, Princeton; assistant professor, Columbia)
 Aravindan Vijayaraghavan (Ph.D. 2013, Princeton; assistant professor, Northwestern)
 Anindya De (Ph.D. 2013, UC Berkeley; assistant professor, Northwestern)
 Jop Briët, joint with Assaf Naor (Ph.D. 2011, CWI, Amsterdam; researcher, CWI, Amsterdam)
 Daniel Dadush, joint with Assaf Naor (Ph.D. 2012, Georgia Tech; researcher, CWI, Amsterdam)
 Divesh Aggarwal, joint with Yevgeniy Dodis (Ph.D. 2012, ETH Zurich; assistant professor, NUS)
 Vadim Lyubashevsky (Ph.D. 2008, UC San Diego; researcher in IBM Zurich)
 Dan Gutfreund (Ph.D. 2005, Hebrew University; researcher in IBM Cambridge)
Teaching
 Basic Algorithms, Fall 2019
 Quantum Computation, Fall 2019
Funding
Short Bio
Oded Regev is a professor in the Courant Institute of Mathematical Sciences of New York University. Prior to joining NYU, he was affiliated with Tel Aviv University and the École Normale Supérieure, Paris under the French National Centre for Scientific Research (CNRS). He received his Ph.D. in computer science from Tel Aviv University in 2001. He is the recipient of a European Research Council (ERC) Starting Grant in 2008, the 2018 Gödel Prize, the 2019 Simons Investigator award, as well as best paper awards in STOC 2003 and Eurocrypt 2006. His main research areas include theoretical computer science, cryptography, quantum computation and complexity theory. A main focus of his research is in the area of latticebased cryptography, where he introduced several key concepts, including the Learning with Errors (LWE) problem and the use of Gaussian measures.
Professional activities
 Organizer and cofounder of TCS+, an online seminar series in theoretical computer science, accessible to the widest possible audience, and ensuring a carbonfree dissemination of ideas across the globe.
 Theory of Computing (Associate EditorinChief)
 Program committee member in STOC 2004, CCC 2005, TCC 2007, ANTS 2008, STOC 2008, CCC 2009, STOC 2010, STOC 2012
Selected Publications

A Reverse Minkowski Theorem (link)
Oded Regev, Noah StephensDavidowitz
STOC 2017 
Towards Strong Reverse Minkowskitype Inequalities for Lattices (link)
Daniel Dadush, Oded Regev
FOCS 2016 
Counterexamples to a conjecture of Woods (link)
Oded Regev, Uri Shapira, Barak Weiss
Duke J Math 
Recovering Short Generators of Principal Ideals in Cyclotomic Rings (link)
Ronald Cramer, Léo Ducas, Chris Peikert, Oded Regev
EUROCRYPT 2016 
Tight Hardness of the Noncommutative Grothendieck Problem (link)
Jop Briët, Oded Regev, Rishi Saket
FOCS 2015 
Solving the Shortest Vector Problem in 2^n Time via Discrete Gaussian Sampling (link)
Divesh Aggarwal, Daniel Dadush, Oded Regev, Noah StephensDavidowitz
STOC 2015 
On the Lattice Isomorphism Problem (link)
Ishay Haviv, Oded Regev
SODA 2014 
Classical Hardness of Learning with Errors (link)
Zvika Brakerski, Adeline Langlois, Chris Peikert, Oded Regev, Damien Stehlé
STOC 2013 
Efficient rounding for the noncommutative Grothendieck inequality (link)
Assaf Naor, Oded Regev, and Thomas Vidick
STOC 2013 
Locally decodable codes and the failure of cotype for projective tensor products (link)
Jop Briët, Assaf Naor, Oded Regev
Electronic Research Announcements in Mathematical Sciences 19 (2012) 120130 
Quantum XOR Games (link)
Thomas Vidick, Oded Regev
CCC 2013 
Elementary Proofs of Grothendieck Theorems for Completely Bounded Norms (link)
Thomas Vidick, Oded Regev
Journal of Operator Theory 
Entropybased Bounds on Dimension Reduction in L_{1} (link)
Oded Regev
Israel Journal of Mathematics 
Quantum OneWay Communication can be Exponentially Stronger Than Classical Communication (link,pptx)
Bo'az Klartag, Oded Regev
STOC 2011 
An Optimal Lower Bound on the Communication Complexity of GapHammingDistance (link,pptx)
Amit Chakrabarti, Oded Regev
STOC 2011 
The Learning with Errors Problem (pdf,ppt)
Oded Regev
Invited survey in CCC 2010 
Lattice Enumeration using Extreme Pruning
Nicolas Gama, Phong Q. Nguyen, Oded Regev
Eurocrypt 2010 
On Ideal Lattices and Learning with Errors Over Rings (pdf,link)
Vadim Lyubashevsky, Chris Peikert, Oded Regev
Eurocrypt 2010 
No Strong Parallel Repetition with Entangled and Nonsignaling Provers (link)
Julia Kempe, Oded Regev
CCC 2010 
Latticebased Cryptography (pdf)
Daniele Micciancio, Oded Regev
Book chapter in Postquantum Cryptography, D. J. Bernstein and J. Buchmann (eds.), Springer (2008) 
Unique Games with Entangled Provers are Easy (link,ppt)
Julia Kempe, Oded Regev, Ben Toner
SIAM Journal on Computing 39(7), pp. 32073229, 2010. Preliminary version in Proc. of FOCS 2008 
Simulating Quantum Correlations with Finite Communication (link,ppt)
Oded Regev, Ben Toner
SIAM Journal on Computing 39(4), pp. 15621580, 2009. Preliminary version in Proc. of FOCS 2007 
On the Complexity of Lattice Problems with Polynomial Approximation Factors (ps,pdf)
Oded Regev
Survey paper prepared for the LLL+25 conference. Appears in this book 
Tensorbased Hardness of the Shortest Vector Problem to within Almost Polynomial Factors (link)
Ishay Haviv, Oded Regev
Theory of Computing 8(23), pp. 513531, 2012. Preliminary version in STOC 2007 
Latticebased Cryptography (ps,pdf,ppt)
Oded Regev
Tutorial given in CRYPTO 2006 
Learning a Parallelepiped: Cryptanalysis of GGH and NTRU Signatures (pdf,ppt)
Phong Q. Nguyen, Oded Regev
Eurocrypt 2006 
On the Hardness of Satisfiability with Bounded Occurrences in the PolynomialTime Hierarchy (ps,pdf)
Ishay Haviv, Oded Regev, Amnon TaShma
Theory of Computing 3(3), pp. 4560, 2007. 
Conditional Hardness for Approximate Coloring (pdf)
Irit Dinur, Elchanan Mossel, Oded Regev
SIAM Journal on Computing 39(3), pp. 843873, 2009. Preliminary version in Proc. of STOC 2006 
On Lattices, Learning with Errors, Random Linear Codes, and Cryptography (pdf,ppt)
Oded Regev
Journal of the ACM 56(6), article 34, 2009. Preliminary version in Proc. of STOC 2005 
The Complexity of the Local Hamiltonian Problem (link)
Julia Kempe, Alexei Kitaev, Oded Regev
SIAM Journal on Computing 35(5), pp. 10701097, 2006. Preliminary version in Proc. of FSTTCS 2004 
A Subexponential Time Algorithm for the Dihedral Hidden Subgroup Problem with Polynomial Space (link)
Oded Regev

Worstcase to Averagecase Reductions based on Gaussian Measures (ps,pdf)
Daniele Micciancio, Oded Regev
SIAM Journal on Computing 37(1) pp. 267302, 2007. Preliminary version in Proc. of FOCS 2004 
Randomised Nearest Neighbour Lower Bound (pdf)
Amit Chakrabarti, Oded Regev
SIAM Journal on Computing 39(5) pp. 19191940, 2010. Preliminary version in Proc. of FOCS 2004 
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation (link)
Dorit Aharonov, Wim van Dam, Julia Kempe, Zeph Landau, Seth Lloyd, Oded Regev
SIAM Journal on Computing 37(1) pp. 166194, 2007. Preliminary version in Proc. of FOCS 2004 
New Lattice Based Cryptographic Constructions (psgz,pdf,ppt)
Oded Regev
Journal of the ACM 51(6), pp. 899942, 2004. Preliminary version in Proc. of STOC 2003 
Vertex Cover Might be Hard to Approximate to within 2ε (ps,pdf)
Subhash Khot, Oded Regev
Journal of Computer and System Sciences 74(3), pp. 335349, 2008. Preliminary version in Proc. of CCC 2003
Personal
 My brother is behind Flytrex, a drone delivery company
 The arXiv Abstract Generator