Calendar

09.04.2019

Public lecture

Arranged by: Section III, Biological and Medical Sciences  Lecture: Doc. Jan Pokorný: The Neglected Role of Vegetation in Distributing Solar Energy and Shaping Climate

23.04.2019

Meeting

2nd segment: arranged by Section I, Mathematics and Physical Sciences Lecture: Prof. RNDr. Martin Loebl, CSc. (Charles University Faculty of Mathematics and Physics): “Paths”The lecture is to be held on 23 April 2019 from 4:00 pm in rooms 205 and 206 of the Czech Academy of Sciences building, Národní 3, Prague 1.

20. – 21.05.2019

XXV AGM

20. 5 Karolinum – all day, evening: Vila Lanna21. 5. CAS building, all day

Krajíček Jan

Prof., RNDr., DrSc.
Born June 18, 1960 in Prague

  • Member of Learned Society since 2004

Educational and professional preparation

  • 1985, RNDr., Charles University;
  • 1990, CSc., Czechoslovak Academy of Sciences;
  • 1993, DrSc., AS CR;
  • 2002, Associate Professor, CU;
  • 2004, Professor of Mathematical Logic, CU;

Employment and academic positions

  • 1985-present, Academy of Sciences;
  • 2000-present, Charles University;
  • 1988-89, 1990-91, visiting professor, University of Illinois (Urbana-Champaign);
  • 1993, visiting professor (six months), University of Toronto;
  • 1997-99, visiting scholar, Oxford University;
  • 2004 (Spring term), member, Institute for Advanced Study, Princeton.
  • 2006 and 2012 (Spring terms), senior visiting fellow, Isaac Newton Institute, Cambridge.

Membership and positions in international organizations and societies

  • Association for Symbolic Logic Concilium (1999-2001 Council, 2002-2005 Committee on Logic in Europe, 2006-present Committe on Prizes and Awards)
  • Member, American Mathematical Society
  • 2009-present, Panel Member for the ERC Advanced Grant evaluation
  • Member, editorial boards, Annals of Pure and Applied Logic, Notre Dame Journal of Formal Logic, Archive for Mathematical Logic, and Mathematical Methods in Computer Science
  • over the years, member of program/organization committees of over 30 international conferences

Notable awards

  • 1994, Award, young scientific workers, AS CR
  • 1998, Award, Minister of Education, Youth and Sports (for Science)
  • 2010, Award of the Academy of Sciences of the Czech Republic

Selected publications

  • J. Krajíček: On the Number of Steps in Proofs. Annals of Pure and Applied Logic 41(2), 153-178, (1989)
  • J. Krajíček, P. Pudlák and G. Takeuti: Bounded Arithmetic and the Polyno-mial Hierarchy, Annals of Pure and Applied Logic 52, 143-153, (1991).
  • J. Krajíček: Fragments of Bounded Arithmetic and Bounded Query Classes, Transactions of the AMS 338(2), 587-598, (1993).
  • J. Krajíček: Lower Bounds to the Size of Constant-Depth Propositional Proofs. J. of Symbolic Logic 59(1), 73-86, (1994).
  • J. Krajíček, P. Pudlák and A. Woods: An Exponential Lower Bound to the Size of Bounded Depth Frege Proofs of the Pigeonhole principle. Random Structures and Algorithms 7(1), 15-39,(1995).
  • P. Beame, R. Impagliazzo, J. Krajíček, T. Pitassi and P. Pudlák: Lower bounds on Hilbert.s Nullstellensatz and propositional proofs. Proceedings of the London Mathematical Society 73(3), 1-26, (1996).
  • J. Krajíček: Interpolation theorems, lower bounds for proof systems, and independence results for bounded arithmetic. J. of Symbolic Logic, 62(2), 457-486, (1997).
  • J. Krajíček a P. Pudlák: Some consequences of cryptographical conjectures for S12 and EF. Information and Computation 140 (1), 82-94, (1998).
  • J. Krajíček: Dual weak pigeonhole principle, pseudo-surjective functions, and provability of circuit lower bounds, J. of Symbolic Logic, 69(1), 265-286, (2004).
  • J. Krajíček: An exponential lower bound for a constraint propagation proof system based on ordered binary decision diagrams, J. of Symbolic Logic, 73(1), 227-237, (2008).
  • J. Krajíček: Bounded arithmetic, propositional logic, and complexity theory, Cambridge University Press, 1995.
  • J. Krajíček: Forcing with random variables and proof complexity, Cambridge University Press, 2011.

reference to the website »

Back to the list of articles

News

14.03.19

Invitation to a Learned Society plenary lecture open to the public

The Learned Society warmly invites you to a lecture by Prof. RNDr. Martin Loebl, CSc. (Charles University Faculty of Mathematics and Physics): “Paths”
The lecture is to be held on 23 April 2019 from 4:00 pm in rooms 205 and 206 of the Czech Academy of Sciences building, Národní 3, Prague 1.

10.03.19

Declaration of support for the student climate strikes

Declaration by the below signed members of the Learned Society and other scientists giving their support for the 15 March 2019 student climate strikes
Declaration (PDF, 36 kB)

04.02.19

Invitation to a Learned Society plenary lecture open to the public

The Learned Society warmly invites you to a lecture by PharmDr. Jitka Palich Fučíková (2nd Faculty of Medicine and Motol University Hospital): “Immunotherapy: the Present and Future”. The lecture is to be held on 19 February 2019 from 4.00 pm in Rooms 205 and 206 of the Czech Academy of Sciences building, Národní 3, Prague 1.