PEYMAN AND HIS TONBAK

Mathematical Autobiography and Interests

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About Me & My Math
 
My serious mathematical studies started at the age of 15, as I was fond of generalizing mathematical formulas. For example from the Phytagorean identities 3^2+4^2=5^2 and 5^2+12^2=13^2 I got 3^2+4^2+12^2=13^2 and Finally n^2+(n+1)^2+(n(n+1))^2 = (n(n+1)+1)^2. This is true in every ring with identity.
 
Later I collected this and some other problems in a paper which was published in a Persian mathematical journal. This was my first publication at the age of 19.
 
I entered Shahid Behshti University (before known as National University) department of mathematics in 1993. My main studies in those years were focused on Mathematical Analysis. Being an active student I had three lectures during the B.Sc. program.
 
I was acquainted with Dr. Siamak Yassemi in the last years of the program. During his lectures in modules in Commutative Algebra I found a counterexample for a formula. This has been mentioned in one of his published papers titled Maximal Element of Support.
 
After getting the Bachelor's Degree in 1997 I went to the University of Tehran where Dr. Yassemi was one of the professors in the department of mathematics.
 
It should be mentioned that I stood at the 12th position in the second State Student Scientific Olympiad 1997, among 2836 participants, in the field of mathematics.
 
I got my Master's Degree in pure mathematics in 1999. My thesis is on cancellation ideals and content modules. I loved that three-month period when I worked on my thesis. That was the most serious mathematical research during my academic studies.
 
Content of polynomials was one of the important fields of research at that time. A part of the thesis (Generalization of the cancellation ideals and content of module polynomial rings) has been published in Kyungpook Mathematical Journal with the title M-cancellation Ideals. This was my first academic paper.
 
My curiosity in knowing the fundamentals of mathematics led me to study mathematical logic. I was fortunate to find a good master when I decided to understand the concept of mathematics, logic and the language. I studied Wittgenstein's Philosophy under the supervision of professor Seyyed Abdollah Anwar for eight years. This had important effect on my thought and my mathematics. Also he taught me about Old Modal Logic (Mantegh-e-Jahat) of the Islamic period and Old Theoretical Persian Art Music (Talif-e-Negham and Igha). As you may know music used to be the forth topic of mathematics in ancient time. At the moment I am studying Human Knowledge of Bertrand Russell under his guide.

I have been teaching mathematics since 1992 sometimes as a university lecturer, sometimes as a high school teacher and sometimes as a private tutor, but most of my mathematical activities in the field of training (education) of mathematics has been collaborating with seminars and confrerences in order to popularize mathematics in the society of Iran. Here is what one of my professors says about me:

"He also took an elective course in "mathematics education (teaching method)" with me, in the spring semester of 1996-97. His active participation in this course and his great interest in learning, made me believe that he has a very special talent that should be discovered, and should be nurtured by a suitable learning environment.

In addition, Mr. Nasehpour was my teaching assistant in a nationwide training session of 480 mathematics teachers, for new geometry textbooks for the 2nd and 3rd year of secondary school in Iran (I was curriculum designer and co-authored of these textbooks.) My main reason for asking Mr. Nasehpour to assist me in this national event was his stimulating ideas, and his friendly and very sociable character."

Research Interests

Algebra (in particular Commutative Algebra)


Computational Mathematics (in particular COCOA)

Theoretical Computer Science (Formal Languages)

Mathematical Analysis


Philosophy (in particular Philosophy of Ordinary Language by Ludwig Josef Johann Wittgenstein & Bertrand Russell and Mathematical Logic)

Relations of Mathematics, Music and Philosophy

My articles

With Siamak Yassemi, M-cancellation ideals, Kyungpook Mathematical Journal, Vol. 40, No. 2, 2000: PDF

Ostad Abdollah Anwar
Ostad Abdollah Anwar

Prof. Seyyed Abdollah Anwar was born in Tehran, Iran, 1924. He received his high school diplomas in Literature and Mathematics in 1942 and 1943.
 
Also he received his Bachelor's Degrees in Laws, Pure Mathematics, Politics and Economics in 1945, 1946, 1948 and 1949.
 
Then he continued his research and studies personally on the following fields:
Philosophy, Mathematics particularly Mathematical and Modal Logic, Physics, Laws, Politics, Economics, Theology, Religious Jurisprudence, Library Science, History, Tehranology and Genealogy Science.
 
His famous works:
 
List of manuscripts of Iranian national library in ten volumes
Ten volumes books of the very famous Persian dictionary, Dehkhoda dictionary
The very famous book of Khajeh Nasir-al-Din Tusi, Asas-al-Eghtebas and its comment
The very famous book of Abu-Ali-Sina, Shefa in 22 volumes and its comment and comparison with Aristotles works
 
So many articles in different fields
 
He has trained so many students and now his students are very famous in different parts of the world.
 
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Professor Winfried Bruns
Professor Winfried Bruns

Prof. Dr. Winfried Bruns

German Mathematician. I was lucky to meet him at IPM in an international workshop on homological methods in commutative algebra, May 25-31, 2002, Tehran-IRAN. I was one of the local organizers of the workshop.

Prof. Herzog (German Algebraist) & Peyman at IPM
Prof. Herzog (German Algebraist) & me at IPM

Prof. Dr. Jürgen Herzog: German algebraist. I was fortunate to meet him at IPM in an international workshop on homological methods in commutative algebra, May 25-31, 2002, Tehran-IRAN. I was one of the local organizers of the workshop.

Prof. Muhammad Zafrullah (Multiplicative Ideal Theory)

Prof. Siamak Yassemi, my supervisor of MSc course.

Bruce Sagan: US based mathematician and musician. He has established a Yahoo group discussion forum for those interested in Scandinavian folk music, folk dance and related traditional arts.

Music, Mathematics and Computer Science

Computational Music Theory

Persian Mathematics

Saeed Salehi: A very good and kind friend of mine, PhD of mathematics. He stood at the first position in the second State Student Scientific Olympiad 1997, among 2836 participants, in the field of mathematics. I am proud of meeting him in my life.
 
Mohammad Reza Pournaki: Iranian mathematician (Group theorist and so on...). His website is very informative with lots of great links.

CommAlg.org - A Center for Commutative Algebra

Commutative Algebra Group: Commutative Algebra Group is a group at Yahoo Groups established by Peyman Nasehpour (moderator). Anybody who is interested in CommAlg can join to this group.
 

Scirus Scientific Search Engine: Scirus was voted Best Specialty Search Engine in the prestigious Search Engine Watch Awards in both 2001 and 2002.
 

The European Mathematical Information Service

The International Electronic Journal of Algebra (IEJA)

Rocky Mountain Mathematics Consortium: Journal of Commutative Algebra

Tar Setar Barbat Kamancheh Gheychak Santoor Ghanoon Ney Tonbak Daf