1964: Winner of the national mathematical competition "Kronprinsens prisoppgaver for norske gymnasiaster",organized by the Norwegian Mathematical Society.

August 1992 -July 1996: VISTA professor appointed by The Norwegian Academy of Science and Letters in cooperation with Den Norske Stats Oljeselskap a.s. (Statoil). This is a research position with no administrative or teaching obligations except supervision of graduate students.

May 1996: Elected member of the Norwegian Academy of Science and Letters.

May 1996: Winner of the Nansen Prize for 1996,for my research in stochastic analysis and its applications.

January 2002: Elected member of the Royal Norwegian Science Society.

Jan.1976-July 77: Member of the Board of College Education, Agder region. This is the board that coordinates and plans the education on the college level in the Agder counties of Norway.

Jan.1987-Dec.88: Chairman of the Mathematics Department, Section A, University of Oslo.

Jan.1987-Dec.88: President of the Norwegian Mathematical Society.

July 1992: Coorganizer of the 4th Workshop on Stochastic Analysis and Related Topics, held in Oslo,Norway.

1992: One of the initiators of the new program of study "Mathematics and Economics" at the Mathematics Department, University of Oslo.

July 1994: Coorganizer of the 5th Workshop on Stochastic Analysis and Related Topics, held in Silivri,Turkey.

Jan.-June 1995: Scientific Director of the program "Stochastic analysis and Stochastic Processes", held at the Mittag-Leffler Mathematical Research Institute in Djursholm, Sweden.

July 1996: Coorganizer of the 6th Workshop on Stochastic Analysis and Related Topics, held in Geilo,Norway.

December 1997: Coorganizer of the international conference "Workshop on Mathematical Finance" held at the University of Botswana, Africa.

June 1998: Coorganizer of the Workshop on Mathematical Finance,held at the Sophus Lie Conference Centre, Nordfjordeid, Norway.

July 1998: Coorganizer of the 7th Workshop on Stochastic analysis and Related Topics, held in Kusadasi,Turkey.

August 1999: Coorganizer of the Second Nordic-Russian Symposium on Stochastic Analysis in Beitostølen, Norway.

Nov./Dec. 1999: Coorganizer of the Second Botswana Symposium on Mathematical Finance in Gaborone, Botswana.

June 2000: Coorganizer of the session on Stochastic Differential Equations and Financial Mathematics at the AMS-Scand Conference in Odense 13.-16 June 2000.

June/July 2001: Coorganizer of the Midnight Sun Workshop on Stochastic Analysis and Mathematical Finance, Kautokeino, Norway.

1979 - 1988: Member of the editorial board of NORMAT (Nordisk Matematisk Tidskrift).

1991 - 1999: Member of the editorial board of the international mathematical research journal "Potential Analysis".

1996 - : Associate editor of the international mathematical research journal "Finance and Stochastics".

1997 - : Associate editor of the international mathematical research journal "Journal of Applied Mathematics and Optimization".

1998 - : Associate editor of the international mathematical research journal "Stochastics and Stochastics Reports"

2002 - : Associate editor of the international mathematical research journal "Stochastic Analysis and Applications"

2002 - : Member of the Advisory Board of the book series "Applications of Mathematics: Stochastic Modelling and Applied Probability", published by Springer-Verlag.

I have been the supervisor of the following dr.scient students:

Jan Ubøe (completed 1989)

Håkon Gjessing (external supervisor) (completed 1995)

Fred Espen Benth (completed 1995)

Jon Gjerde (completed 1996)

Ismail Elsanosi (completed 2000)

Kristin Reikvam (completed 2001)

Bjørnar Larssen (completed 2002) 

Nils Christian Framstad (completed 2002)

Cloud Makasu (completed 2002)

Currently I am supervising the following dr.scient students:

Carl Peter Kirkebø

Thilo Meyer Brandis

Sure Mataramvura (Zimbabwe)

In addition I have supervised a number of cand.scient/Masters students.

I have attended more than 100 conferences since 1969.Since January 1999 I have participated at the following conferences and given the following lectures/guest lectures:

Jan.18-22,1999: Conference on Lévy processes, University of Aarhus, Denmark. Invited speaker. Title of talk: "White noise generalizations of the Clark-Ocone theorem".

Febr.4,1999: University of California,Los Angeles (UCLA). Colloquium speaker. Title of talk: "The Black & Scholes formula: A triumph for mathematical modelling in finance".

Febr.25,1999: University of California,San Diego (UCSD). Invited talk. Title of talk: "The Clark-Ocone formula and its application in finance".

April 1,1999: University of Kansas at Lawrence. Colloquium speaker. Title of talk: "The Black & Scholes formula: A triumph for mathematical modelling in finance".

April 2,1999: University of Chicago. Invited talk. Title of talk: "The Black & Scholes formula: A triumph for mathematical modelling in finance".

April 22,1999: University of California,Irvine (UCI). Colloquium speaker. Title of talk: "The Black & Scholes formula: A triumph for mathematical modelling in finance".

May 5,1999: University of Southern California,Los Angeles (USC). Colloquium speaker. Title of talk: "The Clark-Ocone formula and its application in finance".

May 14,1999: University of California,LosAngeles(UCLA).Invited talk. Title of talk:"The Clark-Ocone formula and its application in finance".

June 14-18,1999: Conference on Stochastic Processes and Their Applications. Beijing, China (SPA´99). Invited speaker. Title of talk: "Optimal consumption and portfolio with both fixed and proportional transaction costs: A combined stochastic control and impulse control problem".

July 5,1999: Symposium on Mathematical Finance, University of Edinburgh, Scotland. Invited speaker.Title of talk: :"Optimal consumption and portfolio with both fixed and proportional transaction costs: A combined stochastic control and impulse control problem".

July 6-9,1999: Durham Conference on Stochastic Analysis. University of Durham, England. Invited speaker.Title of talk: "Fractional white noise calculus and applications to finance".

Aug. 1-6,1999: Second Nordic-Russian Symposium on Stochastic Analysis. Beitostølen, Norway. Coorganizer and speaker. Title of talk: "Fractional white noise calculus and applications to finance".

Aug.10-18,1999: 54^th meeting of the International Statistical Institute (ISI99), Helsinki, Finland. Invited speaker. Title of talk: "Fractional white noise calculus and applications to finance".

Sept.20-24,1999: Third Seminar on Stochastic Analysis,Random Fields and applications, Ascona, Switzerland. Invited speaker. Title of talk: "Fractional white noise calculus and applications to finance".

Oct.20,1999: University of Odense, Denmark. Invited speaker. Title of talk: "Optimal consumption and portfolio with both fixed and proportional transaction costs".

Oct.21-26,1999: Workshop on Stochastics and Quantum Physics.University of Aarhus, Denmark. Invited lecturer (mini-course: 4 lectures).Title of course: "A short course on Wick products, Malliavin calculus and their Applications in Physics".

Nov.29-Dec.3,1999: The Second Botswana Symposium on Mathematical Finance. University of Botswana, Gaborone. Coorganizer and speaker. Title of talk: "Some solvable stochastic control problems with delay".

Jan.21,2000: Invited lecture at the University of Paris – Dauphine. Title of lecture: "Fractional white noise calculus and applications to finance".

March 29-31,2000: The Bachelier Colloquium on Mathematical Finance. University of Besancon, France. Title of talk: Optimal consumption and portfolio in a Black-Scholes market driven by fractional Brownian motion".

May 4,2000: Invited lecture at the Caesar Institute/University of Bonn, Germany. Title of talk: "Optimal streams of dividends from a stochastic market with delay".

May 19,2000: Invited lecture at the University of Jyväskylä, finland. Title of talk: "Optimal control with partial observation".

August 19-22,2000: The Nagu/Nauvo workshop on Mathematical Modeling in Finance and Telecommunications, Nagu/Nauvo, Finland. Title of talk:"A stochastic maximum principle for fractional Brownian motion and applications to finance".

September 11-15, 2000: School of Mathematical Finance, INSEA,Rabat,Morocco: "Combined impulse and stochastic control with applications to fiance" Invited lectures (4 lectures)

October 5-7, 2000: Conference on Intertemporal Finance, University of Konstanz, Germany. Invited talk:" The maximum principle for processes driven by fractional Brownian motion and applications to finance"

November 10-11, 2000: Symposium on Stochastic Functional Differential Equations and Related Topics, University of Warwick, England: Two invited talks, entitled "Some solvable stochastic control problem for stochastic differential equations with delay", part 1 and 2.

December 4-5, 2000: Conference in honour of Professor Alain Bensoussan, Paris. Invited lecture: "The maximum principle for stochastic differential equations with delay, with applications to finance".

December 4-5, 2000: The conference in honor of Professor Alain Bensoussan, Paris. Invited lecture. Title of talk: "A maximum principle for optimal control of stochastic systems with delay, with applications to finance". 

December 11-15, 2000: The 12^th Conference of the Southern African Mathematical Sciences association, held in Swaziland: Invited key note speaker. Title of talk: "Fractional Brownian motion - an old concept with new applications".

January 4, 2001: Conference on Stochastic Partial Differential Equations, University of Copenhagen, Denmark. Invited lecture. Title of talk: "Stochastic partial differential equations driven by fractional white noise".

January 15-16,2001: Invited lectures at the National University of Singapore, Dept. of Mathematics and Dept. of Financial engineering. Titles of talks:

1. An Introduction to Mathematical Finance

February 15, 2001: Workshop on Fractional Brownian Motion, University of Barcelona, Spain. Invited lecture. Title of talk: "Stochastic partial differential equations driven by fractional white noise".

May 23, 2001: Invited lecture at the University of Manchester, England. Title of talk: "An introduction to Malliavin calculus and its application to finance".

May 25, 2001: Workshop on SPDEs in Finance, University of Warwick, England. Title of talk: "Optimal control of SPDEs and application to stochastic control with partial observation".

May 29, 2001: Invited lectures at Imperial College, London, England. Title of talks:

1. "White noise calculus for fractional Brownian motion and applications to finance"

July 16-18, 2001: Invited speaker at the Conference on Mathematical Finance in Kyongju, South Korea. Title of talk: "Optimal control of stochastic partial differential equations and applications to partial observation control"

July 19-20, 2001: Four invited lectures at Sogang University in Seoul, South Korea, entitled "White noise analysis and applications to finance".

August 27-31, 2001: This week I gave an invited intensive course (20 lectures) on "Stochastic Control Theory and Applications to Economics" at Odense University, Denmark.

September 18-22, 2001: This week I gave 4 invited lectures on the topic "Applications of White Noise Analysis to Finance" at the Summer School on Infinte Dimensional Analysis in Coimbra, Portugal.

December 4, 2001: The Third Botswana Symposium on Mathematical Finance, University of Botswana. Title of talk: "Optimal control of stochastic partial differential equations and applications to partial observation control".

December 13, 2001: Workshop on Malliavin Calculus and Applications to Finance, INRIA, Paris. Invited lecture. Title of talk: "Malliavin derivatives and explicit representations of minimal variance hedging in Lévy markets".

January 12, 2002: Workshop on Mathematical Finance, the National University of Singapore. Invited lecture. Title of talk: "Optimal control of stochastic partial differential equations and applications to partial observation control".

May 20-24, 2002: Symposium on Stochastic Analysis and Applications in Ascona, Switzerland. Invited lecture. Title of talk: "White noise calculus for Lévy processes and applications to finance".

June 12 - 15, 2002: The Second Bachelier Society Conference on Mathematical Finance, held in Crete,Greece. Title of talk: "Weighted local time for fractional Brownian motion and applications to finance".

August 2 - 7, 2002: The Laugarvatn Workshop on Stochastic Analysis. Title of talk: "A general approach to insider trading".

August 16 - 17, 2002: International Conference on Stochastic Economic Dynamics, Helsingør, Denmark. Invited speaker. Titles of talks:

1. "An introduction to Malliavin calculus and its applications"

September 9-13, 2002: Workshop on Random Processes and Fields and Financial Applications, University of Bologna, Italy. As one of the two invited main speakers I gave 10 lectures on the topic "Stochastic calculus with fractional Brownian motion and applications".

November, 2002: I gave a total of 6 talks on stochastic analysis and applications at University of Marne La Vallée, at University of Paris VI and at INRIA, Paris.

December 9-13, 2002: SAMSA Conference, Pretoria, South Africa. Title of talk: "A general stochastic calculus approach to insider trading".

January 10, 2003: Workshop on Mathematical Finance, the National University of Singapore. Invited lecture. Title of talk: "A general stochastic calculus approach to insider trading".

February 14-15, 2003: Workshop on Mathematical Finance, Nice,France. Invited lecture. Title of talk: "The value of information. A stochastic calculus approach to insider trading".

1989 - 1997: Leader of the project "Fluid flow in stochastic reservoirs", where flow in porous media is studied using stochastic differential equations. The project is supported by VISTA, a research cooperation between The Norwegian Academy of Science and Den Norske Stats Oljeselskap A.S. (Statoil).

1996 - 2002: Norwegian coordinator of the Nordic network "Stochastic Analysis and Applications", led by Professor Paavo Salminen, Aabo University, Finland. This is a research cooperation between the Nordic countries, sponsored by NorFa.

1996 - : Norwegian coordinator and one of the initiators of the NUFU program Mathematical Modelling, which is a cooperation between the University of Oslo and the University of Zimbabwe, aiming to enhance the education of mathematicians in the region of Southern Africa.

1999: Together with Agnès Sulem at INRIA, Paris, I started the research project "Stochastic Control and Applications. The project is supported by the Norwegian Research Council under the Aurora program, "Collaboration Research Project between Norway and France in 1999".

2002 - : Participant of the EU- sponsored research project "Probabilitic methods in fluids", led by Professor Ian Davis, University of Swansea.

2002: Elected member of the Committee for Developing Countries (CDC).

I have refereed a number of papers for international research journals. I have been a member of several hiring committees for positions in Norway and Sweden and I am/have been an opponent in 7 doctoral disputations, 3 in Norway, 1 in Sweden,1 in Finland and 2 in France.

See separate document.