Personal information:

Name: Dénes Petz
Date of Birth:  April 8, 1953
Place of Birth: Budapest
Office Address A: Department of Mathematical Analysis, Budapest University of Technology and Economics,
Egry József u. 2, H. ép, 226,  H-1521 Budapest XI; Hungary
Tel: 36-1-4633175, Fax: 36-1-4633172
Office Address B: Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13-15, H-1053 Budapest, Hungary,
Fax: 36-1-4838300

Education and Degrees:

1989:  Qualification ``Doctor of the Mathematical Sciences'' received from the Hungarian Academy of Sciences (Thesis: Stochastical Aspects of Operator Algebras)

1982:  Qualification ``Candidate of the Mathematical Sciences'' received from the Hungarian Academy of Sciences (Thesis: Reduction Theory of Operator Algebras) 

1979:  PhD from the Eötvös University of Budapest

1977:   MSc from the Eötvös University of Budapest

Employment:

2008- : professor of mathematics at the Eötvös University
2004- :  research professor at the Alfréd Rényi Mathematical Institute of the Hungarian Academy of Science

1998-2002:  vice dean of the Faculty of Natural Sciences of the Budapest University of Technology and Economics

1996-2004: vice director of Mathemtical Institute of the Budapest University of Technology and Economics

1996-1999, 2002-2006: chair, Department for Mathemtical Analysis at the Budapest University of Technology and Economics,

1992-: full professor of mathematics at the Budapest University of Technology and Economics

1990-1995: head of Section for Functional Analysis at the Mathematical Institute of the Hungarian Academy of Sciences 1982-1989: researcher at the Mathematical Institute of the Hungarian Academy of Sciences

Honours:

2009: Albert Szent-Györgyi Prize of the Ministry of Education
2008: Research Prize of the Hungarian Academy of Sciences

1997-2001: Széchenyi Professorship

1998: Farkas Bolyai Prize of the Hungarian Academy of Sciences

1997: Canon Fellow at the Science University of Tokyo (Japan)

1988: Prize for Young Scientists awarded by the Hungarian Academy of Sciences

1985-86: Alexander von Humboldt Fellowship

1982: Géza Grünwald Memorial Prize awarded by the János Bolyai Mathematical Society of Hungary

Editorial works:

Editor of  Open Systems & Information Dynamics

Editor of  Infinite Dimensional Analysis, Quantum Probability and Related Topics

Editor of   Studia Mathematica Hungarica
Associate editor of Periodica Mathematica Hungarica

Editor of the Journal on Mathematical Physics

Conferences organized:

2008:  Information and Communication, Budapest
2007:  Session  Organizer of  28th Conference of Quantum Probability, Mexico
2006:  Von Neumann Workshop, Budapest
2003:  Von Neumann Centennial Conference, Budapest, main organizer.
2003: Session Organizer (Quantum Information Theory and Operator Algebras), ICMP 2003, Lisboa.
2002:  School on Random Matrices, Levico, main organizer
2000: Probability and Operator Algebras with Applications in Mathematical Physics, Erdős Research Center
2000: Workshop on Analysis held in Budapest,
1999:  Conferences for the memory of Béla Szőkefalvi-Nagy and György Alexits held in Szeged and in Budapest
1984: Random Fields and Statistical Mechanics, Kõszeg Hungary

Membership in international scientific committees in recent years:

QUANTUM PROBABILITY, INFORMATION AND CONTROL SYMPOSIUM, Nottigham 15-22 July, 2006, member  of Scientific Advisary Committe
Quantum Probability, Greiswald, March 27-31 2006, member  of Scientific Committe
8th WORKSHOP: NON-COMMUTATIVE HARMONIC ANALYSIS, Bedlewo, 2005, member  of Scientific Committe

Fejér-Riesz conference, Eger, 2005, member of Program Committe

Teaching experience:

Undergraduate courses on ordinary differential equations, introductory probability, functional analysis, mesure theory; graduate courses on mathematical foundations of quantum mechanics and operator algebras. Ph. D. students in mathematical physics, random matrices and free probability. Ph.D. courses in mathematical physics, free probability and quantum information theory.

Recent invited presentations:

2008: Workshop on Statistical-Mechanical Informatics, Sendai, Japan.
2006: Noncommutative Day, Imperial College, London, December
2006: DMV Minisymposium: Mathematische Physik und Informationstheorie,  Bonn, September
2006:  A course in the School on Theory and Technology in Quantum Information, Communication  and Cryptography,  June, Trieste
2006: Large Deviations, The Centre for Mathematical Physics,  The University of Queensland,  March.
2005:  Large deviation results for random matrices, TU Braunschweig, July.
2005: Large deviations for functions of two random projections, Workshop on non-commutative harmonic analysis, Bedlevo, August
2005: Large deviations, Mathematical Physics Days, Leuven, September
2005: Sufficiency in quantum statistical inference, Workshop on Random Matrices and Free Probability, Sendai, October
2005: Large deviations, RIMS, Kyoto, October
2005: Means of positive matrices}, Osaka University, October
2005: Information geometry and quantum statistical inference, Conference IGAIA2,  Tokyo, December
2004: From the Monotonicity of Quantum Relative Entropy to SSA and Sufficiency, Quantum Information Geometry, McMaster University, Hamilton, Canada, May.

2004: Free transportation cost inequalities via random matrix approximation, Random Matrices and Probability, Warwick, UK, May.

2004: From the Monotonicity of Quantum Relative Entropy to SSA and Sufficiency, Nottingham University, UK, May.

2004: From the Monotonicity of Quantum Relative Entropy to SSA and Sufficient Coarse-grainings, Entanglement, Information \& Noise, Krzyzowa, Poland, June.

2004: Some transportation cost inequalities. An application of large deviation results for random matrices, 25th QP Conference on Quantum Probability and Related Topics, Bedlevo, Poland, June.

2004: Equality conditions for strong subadditivity of the von Neumann entropy, School of Physics, University of Quinsland, Brisbane, August.

2004: Free analogue of transportation cost inequalities, Workshop on Free probability theory, October 9 - 14, Banff

2004: Truncated random unitary matrices, 3rd Sendai Workshop ``Free Probability and Random Matrices'', Japan, October

2004: Perturbed Wigner matrices and a conjecture, 3rd Sendai Workshop ``Free Probability and Random Matrices'', Japan, October

2004: Sufficient statistical inference in quantum mechanics, Quantum Statistics - Quantum Measurements, Estimation and Related Topics, 15 - 19 November, Cambridge.

2004: Large deviation results for the eigenvalue density of some random matrices and applications, University of Munich, November.

2003: Perturbation of Wigner matrices and a conjecture, MaPhySto conference, Danmark, January.

2003: On subadditivity of quantum entropy, Eurandom, Eindhoven, May.

2003: On subadditivity of quantum entropy, Mathematical Physics Days, Leuven, June.

2003: Sufficiency of quantum coarse-grainings, ZiF, Bielefeld, July.

2003: Subadditivity of quantum entropy and relation to quantum Markov states, Quantum Levy Processes, Levico, October.

2003: Saturation of an entropy bound and quantum Markov states, ICQI03 IIAS, Kyoto, November.

2003: Eigenvalue density of large random unitaries and their truncation, Japan, November.

2003: Monotonicity of quantum relative entropy revisited, Tohoku University, Sendai, November.

2003: The scientific heritage of John von Neumann, Tokyo University of Sciences, November, Tokyo.

2002: Quantum source coding and state compression. Dublin, March.

2002: ``Information geometry and its applications'' Pescara, July 1-5.

2002: Perturbation of Wigner matrices and a conjecture}, London, December.

2001:Quantum Probability Workshop, invited speaker, Levico (Italy)

2000: invited review speaker of the HP Labs-Microsoft Research Workshop ``Random Matrices, Percolations and Ques'', Bristol (England)

2000: invited speaker of the conference ``Noncommutativce Geometry and Probability'', held at Nottingham Trent University (England)

2000: invited speaker of the conference ``Disordered Systems'', held at King's College, London (England)

2000: Mathematical Physics Days at Leuven University (Belgium)

2000: speaker in the meeting of the American Mathematical Society, held at the University of Lowell (USA)

2000: invited speaker in the Quantum Information Theory conference, held at Nagoya University (Japan)

2000: Workshop on Free Probability Theory, IHP (Paris (France)

1999: invited speaker of the Workshop on Stochastics and Quantum Physics, MaPhySto, Aarhus University (Danmark)

1999: Lectures at the University of Udine and SISSA in Trieste (Italy)

1999: invited lecturer of the School on Free Probability at Odense University (Danmark)

1999: Workshop on Operator Algebras and Free Probability (The Erwin Scr\"odinger International Institute for Mathematical Physics, Wien)

1999:  Infinite Dimensional Analysis and Quantum Probability, invited speaker, Levico (Italy)

1999:  Introductory Workshop in Random Matrix Models and Their Applications (Mathematical Science Research Institute, Berkeley)

1998: Workshop on Quantum Probabilty (Siegmundsburg, Germany)

1998: Operator Theory Confrence (Timisoara, Romania)
1998: Infinite Dimensional Analysis and Quantum Probability, invited speaker, Levico (Italy)
1997: Lectures at Nagoya University, Ochanomizu University, Research Institute for Mathematical Sciences at Kyoto University (Japan) 1997: Recent Trends in Infinite Dimensional Non-commutative Analysis, (Kyoto, Japan), invited speaker
1997: Infinite Dimensional Analysis and Quantum Probability (Rome, Italy)
1997: Geometry in Science (Aarhus University, Denmark), invited speaker
1997: Seminar talk at Odense University (Denmark)

1997: The 1997 Georgia Tech - UAB International Conference on Differential Equations and Mathematical Physics, Atlanta (USA)

1997: Quantum Communications, Computing and Measurements, Hakone (Japan), invited speaker

1996: Workshop on linear algebra, Bled (Slovenia)

1996: Mathematical Physics Days, Leuven University (Belgium), invited speaker

1996: Semester on Operator Theory, Banach Center, Warshaw (Poland), invited speaker

1996: Quantum Probability, Trento (Italy),

1996: Seminar talk, Department of Physics of Harvard University (USA)

Monographs:

D. Petz,  An invitation to the algebra of the canonical commutation relation, Leuven University Press, Leuven, 1990.
M. Ohya and D. Petz, Quantum Entropy and Its Use, Springer-Verlag, Heidelberg, 1993. Second edition 2004.
F. Hiai and D. Petz, The semicircle law, free random variables and entropy, American Mathematical Society, Providence, 2000
Petz Dénes, Lineáris Analízis (in Hungarian), Akadémiai Kiadó, Budapest, 2002.
D. Petz, Quantum information theory and quantum statistics, Springer, 2008.