Russell Impagliazzo

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Russell Graham Impagliazzo
Russell Impagliazzo at the DIMACS Workshop on Cryptography.jpg
Russell Impagliazzo at the DIMACS Workshop on Cryptography, July 2016.
Alma mater Wesleyan University; University of California, Berkeley
Known forResults in computational complexity theory
Scientific career
Thesis Pseudo-random Generators for Probablistic Algorithms and for Cryptography  (1992)
Doctoral advisor Manuel Blum
Website https://cseweb.ucsd.edu//~russell/

Russell Graham Impagliazzo [1] is a professor of computer science at the University of California, San Diego, specializing in computational complexity theory. [2]

Contents

Education

Impagliazzo received a BA in mathematics from Wesleyan University. [3] He obtained a doctorate from the University of California, Berkeley in 1992. His advisor was Manuel Blum. [1] He joined the faculty of UCSD in 1989, [4] having been a postdoc there from 1989 to 1991. [3]

Contributions

Impagliazzo's contributions to complexity theory include:

Five worlds of complexity theory

Impagliazzo is well-known for proposing the "five worlds" of computational complexity theory, reflecting possible states of the world around the P versus NP problem. [16]

  1. Algorithmica: P = NP;
  2. Heuristica: P is not NP, but NP problems are tractable on average;
  3. Pessiland: there are NP problems that are hard on average, but no one-way functions;
  4. Minicrypt: one-way functions exist, but public-key cryptography does not;
  5. Cryptomania: public-key cryptography exists.

Understanding which world we live in is still a key motivating question in complexity theory and cryptography. [17]

Awards

Impagliazzo has received the following awards:

References

  1. 1 2 "Russell Impagliazzo - The Mathematics Genealogy Project". mathgenealogy.org. Retrieved 2021-08-30.
  2. ↑ "Russell Impagliazzo's". cseweb.ucsd.edu. Retrieved 2021-08-30.
  3. 1 2 3 "Russell Impagliazzo | Simons Institute for the Theory of Computing". simons.berkeley.edu. Retrieved 2021-08-30.
  4. 1 2 3 4 "Faculty Profile | Jacobs School of Engineering". jacobsschool.ucsd.edu. Retrieved 2021-08-30.
  5. ↑ HÅstad, Johan; Impagliazzo, Russell; Levin, Leonid A.; Luby, Michael (1999). "A Pseudorandom Generator from any One-way Function" (PDF). SIAM Journal on Computing. 28 (4): 1364–1396. doi:10.1137/S0097539793244708. ISSN   0097-5397.
  6. ↑ Impagliazzo, Russell (1995). "Hard-core distributions for somewhat hard problems". Proceedings of IEEE 36th Annual Foundations of Computer Science. Proceedings of IEEE 36th Annual Foundations of Computer Science. pp. 538–545. doi:10.1109/SFCS.1995.492584. ISBN   0-8186-7183-1 . Retrieved 30 August 2021.
  7. ↑ Beame, Paul; Impagliazzo, Russell; Krajíček, Jan; Pitassi, Toniann; Pudlák, Pavel (1996). "Lower Bounds on Hilbert's Nullstellensatz and Propositional Proofs". Proceedings of the London Mathematical Society. s3-73 (1): 1–26. doi:10.1112/plms/s3-73.1.1. ISSN   1460-244X.
  8. ↑ Kabanets, Valentine; Impagliazzo, Russell (2004-12-01). "Derandomizing Polynomial Identity Tests Means Proving Circuit Lower Bounds". Computational Complexity. 13 (1): 1–46. doi:10.1007/s00037-004-0182-6. ISSN   1420-8954. S2CID   12451799.
  9. ↑ Impagliazzo, Russell; Wigderson, Avi (1997-05-04). "P = BPP if E requires exponential circuits". Proceedings of the twenty-ninth annual ACM symposium on Theory of computing - STOC '97. El Paso, Texas, USA: Association for Computing Machinery. pp. 220–229. doi:10.1145/258533.258590. ISBN   978-0-89791-888-6. S2CID   18921599.
  10. ↑ Impagliazzo, Russell (2003-04-28). "Hardness as randomness: a survey of universal derandomization". arXiv: cs/0304040 .
  11. ↑ Carmosino, Marco L.; Impagliazzo, Russell; Kabanets, Valentine; Kolokolova, Antonina (2015). Garg, Naveen; Jansen, Klaus; Rao, Anup; Rolim, José D. P. (eds.). "Tighter Connections between Derandomization and Circuit Lower Bounds". Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2015). Leibniz International Proceedings in Informatics (LIPIcs). 40. Dagstuhl, Germany: Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik: 645–658. doi: 10.4230/LIPIcs.APPROX-RANDOM.2015.645 . ISBN   978-3-939897-89-7.
  12. ↑ Barak, B.; Impagliazzo, R.; Wigderson, A. (2004). "Extracting Randomness Using Few Independent Sources". 45th Annual IEEE Symposium on Foundations of Computer Science. pp. 384–393. doi:10.1109/FOCS.2004.29. ISBN   0-7695-2228-9. S2CID   7063583.
  13. ↑ Impagliazzo, Russell; Paturi, Ramamohan (2001-03-01). "On the Complexity of k-SAT". Journal of Computer and System Sciences. 62 (2): 367–375. doi: 10.1006/jcss.2000.1727 . ISSN   0022-0000.
  14. ↑ Lokshtanov, Daniel; Marx, Dániel; Saurabh, Saket (October 2011). "Lower Bounds based on the Exponential Time Hypothesis". Bulletin of the EATCS: 41–71. CiteSeerX   10.1.1.942.6217 .
  15. ↑ Williams, Virginia V. (2015). Hardness of Easy Problems: Basing Hardness on Popular Conjectures such as the Strong Exponential Time Hypothesis (PDF). 10th International Symposium on Parameterized and Exact Computation. pp. 17–29. doi: 10.4230/LIPIcs.IPEC.2015.17 .
  16. ↑ Impagliazzo, Russell (April 17, 1995). "A Personal View of Average-Case Complexity".
  17. ↑ Klarreich, Erica (April 18, 2022). "Which Computational Universe Do We Live In?". Quanta.
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