G. O. S. Ekhaguere

PICTURE

Born: 23 May, 1947

Birthplace: Benin City, Edo State, Nigeria

B.S. (1971) Physics University of Ibadan, Nigeri; D.I.C. (1974) in Mathematical Physics Imperial College of Science & Technology

, he earned a Ph.D.
(1976) Mathematical Physics University of London

thesis:

Area of Research Interest: Mathematical Physics; Noncommutative Stochastic Analysis; *-Algebras

Professor Ekhaguere's high academic ability was evident at an early age, when he won the competitive five-year scholarship of the Western Region of Nigeria tenable in the prestigious Immaculate Conception College (ICC), Benin City in 1961. He completed his secondary school education with a First Division Certificate in 1965. He was awarded a scholarship in 1966 by the ICC for his Higher School Certificate (HSC) education (1966-67). Best known among his friends and colleagues simply as Gos, he gained admission into the University of Ibadan, Nigeria (West Africa) for his undergraduate studies in 1968. In 1971, he earned a Bachelor of Science degree with Honors in Physics. He then proceeded to the Imperial College of Science & Technology (now Imperial College of Science, Technology & Medicine) London where he earned the Diploma of Imperial College (D.I.C.) in Mathematical Physics in 1974. In 1976, he earned a Ph.D. in Mathematical Physics from the University of London (Bedford College).

Professor Ekhaguere was a Subdean, Faculty of Science, University of Ibadan(1981-82); Head, Department of Mathematics, University of Ibadan (1993-96), and Member of the University of Ibadan Governing Council (1995-97). Since 1995, he is the Vice-President of the Nigerian Mathematical Society. He is a Full Professor of Mathematics (since 1988) on the faculty of the University of Ibadan. He can be reached at gose@aau.org.

Professor has served or is currently serving as Secretary of The Nigerian Association of Mathematical Physics (1979-90), member of the Editorial Board of the Journal of Nigerian Mathematical Society (1992-), member of the Editorial Board of the Journal of the Nigerian Association of Mathematical Physics (1979-), member of the Editorial Board of the Journal of Science Research (Faculty of Science, University of Ibadan) (1993-), and a Course Instructor at the National Mathematical Centre, Abuja (1989-). He has participated in several International Congresses of Mathematicians organized by the International Mathematical Union (IMU), including the last one held in August 1998 in Berlin, Germany.

**AWARDS**

Western (later Mid-Western) Nigeria Scholar (1961-65)

University of Ibadan Scholar (1969-71)

Cocoa Marketing Board Scholar (1969-71)

Mid-Western Nigeria Scholar (1971-76)

Sponsorship of the Volkswagen-Stiftung (July 1985 - September
1985)

Sponsorship of the Deutsche Forschungstemeinschaft (November 1988)

Sponsorship of the Japanese Society for the Promotion of Science
(August 1990)

Sponsorship of the Commemorative Association for the Japan World
Exposition (1970) (August 1990)

Sponsorship of the Swedish Agency for Research Cooperation with
Developing Countries (September 1990 - November 1990; September
1992 - December 1992; September 1995 - November 1995)

Associate of the International Centre for Theoretical Physics,
Trieste, Italy (1989 - 1995)

Sponsorship of the Forschungsinstitut für Mathematik, Eidgenossische
Technische Hochschule (ETH), Zürich, Switzerland (August
1994)

Fellow of the Alexander von Humboldt Foundation, Germany (*Wiedereinladung*)
(August 1994 - December 1994)

Visit to the Technische Universitat, Berlin to participate in the International Congress of Mathematicians in Berlin, Germany (August 1998).

**VISITS TO FOREIGN INSTITUTIONS OUTSIDE AFRICA**

Fellow of the Alexander von Humboldt Foundation at the Institüt
für Theoretische Physik, University of Göttingen, Göttingen,
Germany (August 1983 - June 1985)

Visiting Professor at the Institute of Theoretical Physics, University
of Wroclaw, Poland (May, 1985)

Visiting Professor at BiBoS Forschungszentrum, University of Bielefeld,
Bielefeld, Germany, (July 1985 - September 1985)

Visiting Professor at the Sonderforschungsbereich 123 University
of Heidelberg, Heidelberg, Germany (October, 1988)

Visiting Professor at the Sonderforschungsbereich 253, Bochum-Dusseldorf
Essen, University of Bochum, Germany (November 1988)

Visiting Professor at the Arnold-Sommerfield-Institute for Mathematical
Physics, Technical University of Clausthal-Zellerfeld, West Germany
(last week of November, 1988)

Visiting Associate Scientist at the International Centre for Theoretical
Physics, Trieste, Italy (October - December, 1990)

Visiting Associate Scientist at the International Centre for Theoretical
Physics, Trieste, Italy (September - December 1992)

Visiting Scientist at the Centro Matematica Vito Volterra, Universita'
di Roma II (Tor Vergata), Rome, Italy (December, 1992)

Visiting Professor at the Forschungsinstitut für Mathematik,
Eidgenössische Technische Hoschschule (ETH), Zürich,
Switzerland (August 1994)

Visiting Fellow of the Alexander von Humboldt Foundation at the
University of Heidelberg, Germany (August - September, 1994)

Association of African Universities Visiting Professor at the
University of Western Cape, South Africa (April/May, 1996)

Invited Visiting Professor to the Department of Applied Mathematics,
Fukuoka University, Fukuoka, Japan (1997)

Invited Visiting Professor to the Istituto di Fisica, Universita
di Palermo, Palermo, Italy (1997)

RESEARCH NOTES

Dr. Ekhaguere's research areas are:

(a) *Mathematical Physics,* with emphasis on *axiomatic
quantum field theory;*

(b) *Classical and noncommutative stochastic analysis,* with
emphasis on *stochastic calculus and the properties of stochastic
processes;* and

(c) **-algebras,* with emphasis on their *structures, representatives
and extensions.*

He has published many papers in Mathematics and Mathematical Physics in several international journals. Below I list the 25 papers reviewed in the AMS Mathematical Reviews. He is a member of several international mathematical societies, including the American Mathematical Society..

**PUBLICATIONS**

25. *Representation of completely positive maps between partial
${}\sp *$-algebras,* Internat. J. Theoret. Phys. **35**
(1996), 1571--1580.

24. *Quantum stochastic evolutions,* Internat. J. Theoret.
Phys. **35** (1996), no. 9, 1909--1946.

23. *Quantum stochastic differential inclusions of hypermaximal
monotone type,* Internat. J. Theoret. Phys. **34** (1995),
no. 3, 323--353.

22. *Stochastic integration in $\sp *$-algebras without Doob-Meyer
decomposition theorems,* J.
of Nigerian Math. Soc. 13 (1994), 9--22. (Reviewer: Stanis\l
aw Goldstein) 46L50 (60H05)

21. *Decomposition theorems and stochastic integration in
$\sp *$-algebras,* J.
of Nigerian Math. Soc. **13** (1994), 81--101.

20. *Noncommutative mean ergodic theorem for partial $W\sp
*$-dynamical semigroups,* Internat. J. Theoret. Phys. **32**
(1993), no. 7, 1187--1196.

19. *Lipschitzian quantum stochastic differential inclusions,*
Internat. J. Theoret. Phys. **31** (1992), no. 11, 2003--2027.

18. **Ekhaguere, G. O. S.** and Odiobala, P. O. *Completely
positive conjugate-bilinear maps on partial $*$-algebras,*
J. Math. Phys. **32** (1991), no. 11, 2951--2958.

17. *The functional Ito formula in quantum*

*stochastic calculus,* J. Math. Phys. **31** (1990),
no. 12, 2921--2929.

16. *Unbounded partial Hilbert algebras,* J. Math. Phys.
**30** (1989), no. 9, 1957--1964.

15. Unbounded quantum dynamical systems, Contemporary stochastic analysis (Ibadan, 1989), 13--29, World Sci. Publishing, River Edge, NJ, 1991.

14. *Contemporary stochastic analysis,* Papers from the
International Conference on Contemporary Problems in Stochastic
Analysis and its Applications held at the University of Ibadan,
Ibadan, October 9--13, 1989. Edited by G. O. S. Ekhaguere. World
Scientific Publishing Co., Inc., River Edge, NJ, 1991. viii+147
pp. ISBN: 981-02-0693-3 60-06

13. *Partial $W\sp *$-dynamical systems,* Current topics
in operator algebras (Nara, 1990), 202--217, World Sci. Publishing,
River Edge, NJ, 1991.

12. *Dirichlet forms on partial $\sp *$-algebras. Math. Proc,*
Cambridge Philos. Soc. **104** (1988), no. 1, 129--140.

11. *On solutions of quantum stochastic integral equations,*
Fundamental aspects of quantum theory (Como, 1985), 453--455,
NATO Adv. Sci. Inst. Ser. B Phys., **144**, Plenum, New York,
1986. 81C20

10. *Quantum stochastic integration in certain partial $*$-algebras,*
Stochastic processes in classical and quantum systems (Ascona,
1985), 237--245, Lecture Notes in Phys., **262**, Springer,
Berlin-New York, 1986.

9. *On central limit theorems in probability gage spaces,*
Publ. Res. Inst. Math. Sci. **21** (1985), no. 3, 541--591.

8. *The theory of superselection rules. II. Sectors of the
free electromagnetic field, *J. Math. Phys. **25** (1984),
no. 3, 678--683.

7. *On noncommutative stochastic integration,* J.
of Nigerian Math. Soc. **1** (1982), 11--23.

6. *On the existence and uniqueness of noncommutative stochastic
processes,* J. Phys. A **15** (1982), no. 11, 3453--3463.

5. *A characterization of Markovian homogeneous multicomponent
Gaussian fields,* Comm. Math. Phys. **73** (1980), no. 1,
63--77.

4. *A class of Gaussian fields of Markov type,* Phys.
A **99** (1979), no. 3, 545--568.

3. *Markov fields in noncommutative probability theory on
$W\sp{*} $\ algebras,* J. Math. Phys. 20 (1979), no. 8, 1679--1683.

2. *The theory of superselection rules. I. A class of inequivalent,
irreducible $*$-representations of the canonical commutation relations
of the free electromagnetic field,* J. Math. Phys. **19**
(1978), no. 8, 1751--1757.

1. *On notions of Markov property,* J. Mathematical Phys.
**18** (1977), no. 11, 2104--2107.

The web pages

**MATHEMATICIANS OF THE AFRICAN DIASPORA**

are brought to you by

The Mathematics Department of

The State University of New York at Buffalo.

They are created and maintained
by

Scott W. Williams

Professor of Mathematics