*Position: *Senior Reseach Scientist, Professor University
"Politehnica" Bucharest.

*Date of birth:* June 7, 1952

*Place of birth:* Brasov, Romania

*Marital status: *Married, one daughter (born 1977)

*Phone:* Mobile: +40722729035

Office: +40-23196511

*Education:*

1976-1982
Institute of Mathematical Statistics of the Romanian Academy

Adviser: Dr. Marius Iosifescu

Ph.D in Mathematics, May 1981

1975-1976
Postgraduate Studies, University of Bucharest, Certificate of
Specialization

in Mathematical Analysis

1971-1975 University of Bucharest, Honours Diploma (MS) in Mathematics, June 1975

*Languages: *English, French (DALF 1995), German,
Russian
(reading only), Romanian

*Short term visiting positions:*

2007 Visting Professor, University of Illinois at Urbana-Champaign (Fall)

1997
Associate Visiting Professor, University of Iowa (Fall)

1993
Visiting Scholar, Indiana University, Bloomington (Spring Semester)

1992
Associate Visiting Professor, University of Iowa (Fall Semester)

1981,
1985
Steklov Institute, Sankt Petersburg, Russia (two one-month research
stages)

1981
I.H.E.S France, Visiting Scholar (two months)

1980
Moscow University (one month reseach stage)

*Employment:*

1990-
Senior Research Scientist, Institute of Mathematics of the Romanian
Academy

2001-
Professor, University "Politehnica" Bucharest

1986-1990
Research Scientist, Institute for Agricultural Machines, Bucharest

1979-1986
Research Scientist, Department of Mathematics of INCREST, Bucharest and

Associate Lecturer in Mathematics, University of Bucharest

1976-1979
Teacher in Mathematics, 18th High School, Bucharest

*Areas of Research Interest:*

Ergodic Theory: Pointwise ergodic theorems for contractions in L_1
spaces,
entropy of dynamical

systems, Markow partitions;
statistical mechanics (analytical number theory methods);

Operator Theory: Invariant subspaces, Macaev norms, Brown techniques;

Operator Algebras: Non-commutative probability theory (free random
variables);

Problem solving, combinatorics.

*Other Professional Activities:*

Coach Romanian Team for the International Mathematical Olympiad 1976-1979, 1996-1998, 2000-present;

Leader of the Romanian Team for the International Mathematical Olympiads 2002-2006;

Prezident of the Board of the National Mathematical Olympiad 2002-prezent;

Member of AMS and the Society of Romanian Mathematicians;

Member of the Board of the "THETA" Foundation (the editor of the Journal of Operator Theory);

Member of the Organizing Committee of the International Conference in Operator Theory, 1980-1996;

Editor of the Proceedings of the International Conference in Operator Theory, Theta Foundation, 1998, 2000;

Editor: Bulletin Mathematique de la Societe de Sciences Mathematiques de Roumanie.

*Participation in Scientific Meetings (with given talks):*

International Conference on Operator Theory (Bucuresti and Timisoara: 1977-2000);

International Conference on Operator Algebras (Neptun 1980, Busteni 1982, Craiova 1989, Constanta 2001);

International Seminars on Functional Analysis (Czech Republic: 1980, 1981, 1983);

International Conference on Operator Ideals (Leipzig 1986, Gotha 1985);

Winter Conference on Abstract Analysis (Srni, Czech Republic, 1986);

International Symposium on Chaotic Dynamical Systems (Utrecht, 1990);

The Great Plains Operator Theory Conference (Iowa 1992, Boulder 1993).

French - Romanian Mathematical Conference, Perpignan, 2003

*Colloquium Talks:*

The Institute of Mathematics of the Czechoslovac Academy (Prague,
1982);

University of Bordeaux (1981, 1991);

Steklov Institute (1985);

Iowa University (Des Moines, 1997)

French-Romanian Seminar in Applied Mathematics, Perpignan, September
2002

Congress of Romanian Mathematicians, June 2007;

Fullerton University, Los Angeles, October 2007;

University of Maryland at Baltimore County, November 2007;

University of Illinois, November and December 2007

*Teaching:*

__University of Bucharest:__

Spectral Theory for Operators in Hilbert Spaces (upper-undergraduate
level) 1980-1987

Ergodic Theory (graduate level), 1983-1986, 1994

Measure Theory (undergraduate level) 1982-1986, 1995-1996

Functional Analysis, 1986-1989.

__University "Politehnica" Bucharest:__

Calculus for Engineers, 1991-prezent

__University of Iowa:__

Vector Calculus for Engineers, 1992, 1997

Introductory Calculus, 1992.

Differential Equations, University of Illinois, Fall 2007

Hobbies:

skiing, table-tennis (quite professional), guitar (tabs), history

*Publications:*

__Books:____
__

**Applications of Ergodic Theory**, Editura Tehnica, Bucharest,
1989
(in Romanian);

**Introduction in Mathematical Analysis, **Editura Matrix,
Bucharest, first volume 1997, second volume 1999-2001 (in Romanian,
with
Andrei Halanay and Dan Timotin).

** Mathematics (Algebra and Analysis), Textbooks for the XIth grade,
with M. Becheanu, M. Baluna, B. Enescu, A. Vernescu, Curtea Veche, 2001
**

__Refered Mathematical Papers__:

1. with H. Bercovici and Dan Timotin, Some Generalisations of Functions
Defined in L(H), *Studii*

*Cercet. Mat., *2, 1975, 131-156.

2. A Remark on Chacon's Ergodic Theorem, *Rev. Roum. Math. Pures
Appl., *21, 1976, 521-522.

3. A Remark on the Ergodic Theorem with Mixed Conditions, *Rev.
Roum.
Math. Pures Appl.*, 22,

1977, 321-326.

4. with C. Foias, An ergodic formula appearing in a biological omology
problem (in Romanian),

*Studii Cercet. Mat.,* 5, 1977, 499-506.

5. On the ergodic theorem of Ornstein and Brunel for nonpositive
operators,
*Rev. Roum. Math.*

*Pures Appl.*, 1979, 235-239.

6. An extension of the Chacon-Ornstein ergodic theorem, **Invariant
Subspaces and Other Topics,**

Birkhauser Verlag, Basel, 1982, 456-459.

7. On Akcoglu's Ergodic Theorem, *Stud. Cercet. Mat.,* 5,
1985,457-459.

8. Ergodic Theorems in sigma-lattice cones, *Rend. Circ. Mat. Palermo*,
II, 14, 1987, 439-446

9. On the subaditive ergodic theorem, *Stud. Cercet. Mat.*, 47,
1995, 405-408.

10. A perturbed ergodic theorm, Proc. Amer. Math. Soc.,128,5,1377-1380,
2000.

11. On the singular values of some integral operators I. The Voltera
operator, Bull. Math. Soc. Sci. Math. Roum., 43(91), 1, 2000.

12. An elemetary proof of a theorem of Bernstein, Bull. Math. Soc. Sci.
Math. Roum., 43(91), 2, 145-148, 2000.

13. Snooker and Farey numbers, Preprint IMAR, 15/2000.

14. with F. Boca and A. Zaharescu, Quantitative results for the
trajectories of a billiard in a rectangle

15. On the convergence of some partial sums and a contest problem, GMA
19(68), 2001.

16. Irreducible polynomials and derivatives, Elemente der Mathematik,
56(2001), 170-172.

17. **MR2028172**
**(2004m:37065)** Boca,
F. P.; Gologan,
R. N.; Zaharescu,
A. The average length of a trajectory in a certain billiard in a
flat two-torus.
*New York J. Math.*
9 (2003), 303--330

**18. ****MR1949149**
**(2004c:11021)** Boca,
Florin P.; Zaharescu,
Alexandru; Gologan,
Radu N. On the index of Farey sequences.
*Q. J. Math.* ** 53 ** (2002),
no. 4, 377--391.

**19. ****MR2004979**
**(2004f:37007)** Boca,
Florin P.; Gologan,
Radu N.; Zaharescu,
Alexandru The statistics of the trajectory of a certain billiard in
a flat two-torus.
*Comm. Math. Phys.* ** 240 ** (2003),
no. 1-2, 53--73.

20. A formula for the metric entropy, Math. Reports, 2(52), 2000,
295-298.

21. **MR2075397**
**(2005b:82074)** Boca,
Florin P.; Gologan,
Radu N.; Zaharescu,
Alexandru Sur le modèle du gaz de Lorentz périodique.
(French) [On the periodic Lorentz gas model]
*An. Univ. Craiova Ser. Mat. Inform.* ** 30 **
(2003),
no. 1, 63--70.

22. with A. Gheondea: On a class of piecewise functiona, Bull. Math.
Soc. Sci. Math. Roum, 44(92), 4(2001). __
__

Other Mathematical Papers and papers in preparation:

**Pointwise Ergodic Theorems (MS), University of Bucharest,
1975.
The isomorphism theorem for Bernoulli shifts, University of Bucharest,
1976.
The ergodic theory for Markov processes (PhD thesis) 1981.
Markov partitions for a class of endomorphisms which expand distances,
Preprint INCREST 72,
1980.
Radius of interaction in a Z^2-lattice model, Preprint INCREST, 70,
1982.
Macaev norms and Toeplitz operators, preliminary version, Grant
3035/1997,
MCT.
An elementary proof of the central limit theorem in free probability
theory, in preparation.
On complex polynomials, in "Ten lectures in elementary mathematics",
Romanian Mathematical
Society, 1998.
**

**Elementary combinatorics and optimization, in preparation.
Two lemmas in real analysis that give results in geometri combinatorics (Written version of the talk given at the Congress of Romanian Mathematicians);
with F. Boca, The Lorentz gas in a honeycomb. I
(On the distribution of the free path length of the Lorentz gas
in a honeycomb. I), Preprint University of Illinois, 2207
**