Dr. Nihal Yapage Senior Lecturer in Mathematics Head of Department Department of Mathematics University of Ruhuna Matara SRI LANKA Email: nihal@maths.ruh.ac.lk, yapagen@gmail.com Office: +94 +41 2227018, Ext. 4201 Residence: +94 +91 3924565 Mobile: +94 +77 9516475 Homepage: http://www.math.ruh.ac.lk/~nihal/

Academic Qualifications

Ph.D. in Mathematics and Physics of Information, University of Electro-Communications, Tokyo, JAPAN, 2008.
Title : Information geometrical study of Quantum Boltzmann Machines
Supervisor : Prof Hiroshi Nagaoka

M.Eng. in Mathematics and Physics of Information, University of Electro-Communications, Tokyo, JAPAN, 2005.
Title : Quantum extension of Boltzmann machine
Supervisor : Prof Hiroshi Nagaoka

B.Sc. Special (Hons) Degree in Mathematics, University of Ruhuna, Matara, SRI LANKA, 1998.

Research Interests

At present, I am focusing on multidisciplinary research in

1. Information Geometry (Differential Geometrical methods in Mathematical Statistics) and its applications to other related fields
2. Complex Systems and Networks (biological and social networks)
3. Theory of classical and quantum information
4. Quantum computer science

Publications

1. N. Yapage. Statistical and geometrical properties of power-law distributions (in preparation).
2. N. Yapage. Some information measures of power-law distributions. Submitted to 1st Ruhuna International Science and Technology Conference (RISTCON 2013) (to be held in January, 2014), Faculty of Science, University of Ruhuna, Matara, Sri Lanka.
3. N. Yapage. Information geometry of mean field approximation for third-order classical and quantum Boltzmann machines. Abstract accepted to the 38th Conference of the Middle European Cooperation in Statistical Physics 25-27 March 2013 at the ICTP, Trieste, Italy.
4. N. Yapage. Mean field equations for higher-order quantum statistical models : an information geometric approach, 2012. arXiv:1202.5726v1 [quant-ph].
5. M. W. S. Perera, N. Yapage. Successes and failures of Shor's algorithm for large integer factorization : a numerical study, 2011, Proceedings of the annual research symposium, Faculty of Science, University of Ruhuna, Matara, Sri Lanka.
6. N. Yapage. Information Geometrical Study of Quantum Boltzmann Machines, Doctoral Thesis, University of Electro-Communications, Tokyo, Japan, 2008.
7. N. Yapage, H. Nagaoka. An information geometrical approach to the mean field approximation for quantum Ising spin models. Journal of Physics A: Mathematical and Theoretical 41, 2008, 065005.
8. N. Yapage, H. Nagaoka. Information geometry of mean field approximation for quantum Boltzmann machines. Proceedings of the Asian Conference on Quantum Information Science (AQIS'06), Beijing, China, 143--144, 2006.
9. N. Yapage, H. Nagaoka. A Quantum Extension of Boltzmann machine: An information geometrical viewpoint. Proceedings of the ERATO (Exploratory Research for Advanced Technology) Conference on Quantum Information Science (EQIS'05), Tokyo, Japan, 204--205, 2005.

Ongoing Research Projects

Basically, I am interested in Information Geometry (Differential Geometry and Statistics) and Information Theory and its Applications in other Sciences. Presently working on ``Information Measures of Orthogonal Polynomials '' and ``Applications of Information Geometry and Information Theory to understand the structure of Complex Networks''. In this work we are specially interested in complex systems and networks in biology (especially biochemical reaction networks), economics and other social networks. Also I started working on ``A study on the Information measures and diversity indices'' in 2013.

Teaching Portfolio

Department of Mathematics, Faculty of Science, University of Ruhuna, Matara, Sri Lanka

Courses I have taught in the past and I am currently teaching:

for advanced undergraduate students in Mathematics:

Faculty of Natural Sciences and Faculty of Engineering Technology, Open University of Sri Lanka