The doctoral dissertation in the field of Mathematics will be examined at the Faculty of Science, Forestry and Technology, Joensuu campus.
What is the topic of your doctoral research? Why is it important to study the topic?
The topic of my doctoral research is tropical Nevanlinna theory and its applications to ultradiscrete equations. Tropical Nevanlinna theory can be applied to detect integrable ultadiscrete equations and to study the solutions of integrable equations.
What are the key findings or observations of your doctoral research?
The most central results of my research are the extention of tropical Nevanlinna second main theorem and the lemma on the logarithmic derivative for noncontinuous tropical meromorphic functions as well as studying a reduction of the ultradiscrete modified Korteweg-De Vries equation.
What are the key research methods and materials used in your doctoral research?
The results of the research have been reached by methods of mathematical deduction.
The doctoral dissertation of Juho Halonen, MSc, entitled Tropical Nevanlinna theory and its applications to ultradiscrete equations will be examined at the Faculty of Science, Forestry and Technology, Joensuu campus. The opponent will be Professor Katsuya Ishizaki, The Open University of Japan, Japan, and the custos will be University Lecturer, Docent Janne Heittokangas, University of Eastern Finland. Language of the public defence is English.
For more information, please contact:
Juho Halonen, [email protected]
