OVERVIEW
ROLES AT IMM
2023
IMM International Faculty
Advanced Differential Geometry
Course
Pakistan
Fall
2022
IMM International Faculty
Differential Geometry
Course
Pakistan
Spring
2019
IMM International Faculty
Advanced Differential Geometry
Course
Pakistan
Fall
ABOUT ME
What is your teaching philosophy? What would you like to transmit to your students? How do you motivate them?
My goal in teaching is to make the students able to appreciate and internalise the ideas, the techniques and the way of thinking about the specific problems the course is about. I try and make them to become mathematically autonomous, able to understand, use and possibly expand by themselves the ideas discussed in the course.The techniques that I use to motivate the students depend very much on the kind of students I’m teaching and on the content of the course. In an advanced mathematical course to Ph.D. students in mathematics I try and show how exciting and novel and interesting by itself the topic of the course is; in a basic calculus course for biology students I try and show how mathematical ideas and tools can be useful in real life, in all kind of science and in biology too, and that they can also be, why not, beautiful.
CURRICULUM
from 2019 to Present
IMM International Faculty, International Mathematics Master (IMM)
International
from 2001 to Present
Full Professor, University of Pisa
Italy
MORE INFORMATION
How would you define your field of study? What is your vision about it? Which are the topics you're most passionate about?
My field of study is complex analysis and complex geometry. More specifically I have worked on geometric function theory in several complex variables, on complex differential geometry and on holomorphic dynamical systems.
I like these topics because they are strongly interdisciplinary, relying on ideas and techniques coming from analysis, algebra, geometry, topology, number theory, mathematical physics and so on — and, of course, on ideas and techniques originated specifically in these areas — with a very fruitful and exciting mixing of thoughts and arguments leading to new results and new theories.
How do you expect your experience in IMM to be? Why did you accept to teach for this project?
I strongly believe that mathematics should be shared, and should be shared worldwide, without any boundary of any kind (geographic, political, or gender, religion, ethnicity, etc.).
Furthermore, mathematics (and the way of thinking which is the fundamental basis of mathematics) is becoming more and more important for understanding and living in the contemporary digital world.
For these reasons I have decided to do my part and to help in sharing and teaching mathematics around the world, and in particular in countries less in contact (for whatever reason) with the more recent developments of mathematics. It also is a wonderful way to meet and know different cultures and different ways of living and thinking — and to learn from people I meet.
It is always a two-way exchange, and the things I discover, the people I have conversations with, the experiences I have make me a better mathematicians and, I hope, a better person. So thank you for giving me this opportunity.