.:RESEARCH:.                                                                                   <BACK TO MY HOMEPAGE>
 
Research
 
 
For a list of my publications, slides from my seminars, CoCoA packages I have written and other amenities, go HERE

:WHERE:  
 
-  I worked at the Mathematics Department [MUUK] of Charles University [UKCZ],  Prague, Czech Republic (EU).
    My position is at the new Eduard Čech Center, [EČC], as a postdoctoral fellow, until June 2007.
-  In August 2007 I joined the faculty of Chapman University for a visiting position.
- I have got my Ph.D. from George Mason University in 2005 under the supervision of  D.C. Struppa.
- Previously, in Italy, I studied in Genova and graduated in 2001 with a thesis in Computer Algebra (calculation of Ext modules) under the supervision  of L. Robbiano.
 
:WHAT:
 
COmputational ALgebraic Analysis [CoAlA] is my main area of interest.
System of differential equations, Gröbner bases, Dirac operators and its various (flat) faces.
I love using CoCoA for my research. Find [MORE] about CoCoA and contact me if you need help.
Some of my most recent research interests include:
- The Dirac operator in several vector variables, with V. Souček.
- Hermitian Clifford Analysis, with D. Eelbode and I. Sabadini,
- Computational Social Aggregation [CoSA] with D.C. Struppa, L. Sparks and M. Mannucci.
- The mathematics of voting systems and electoral studies, with my former schoolmate L. Trucco
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:HOW:
 
In order to prove the world that we are good mathematicians, we have to write research papers. These papers are then reviewed by other mathematicians, who most likely work in a closely related area of research and sometimes do not want you to publish things they could have published themselves. Alternatively, if you are lucky, those who review your work are exactly those that you need to invite to the next conference, or those whose last paper YOU reviewed so they want to/have to pay you back (whatever that means...). Ultimately, they are your collaborators or the collaborators of your collaborators. The whole system is, in my opinion, corrupted (not to use the F word) and highly inefficient: people who deserve recognition because they are brilliant, are sometimes ignored or even faced with hostility. Some of them are too humble to emerge, or end up with the wrong advisor. On the other hand, people who have little right to claim themselves scientists have an easy life because they "marry rich", so to speak, or simply because they know the right people. Journals are measured with this absurd "impact factor" that supposedly tells how good a journal is based on how many times their articles have been cited in the literature. As if citations meant anything other than the fact that somebody wanted to cite that paper to increase the number of citation it gets.
 
SO?? The whole thing has a somewhat positive side for those, like me, who are probably just regular researchers: we can just keep doing what we want without too much trouble, as long as we have fun! That's how I take it: not so seriously, to avoid headaches. Call me mad. Given that my best paper may end up being published only on an average quality journal after having been rejected for years, while my worst could very well make it to the top of the AMS publications just because of political reasons, I simply ignore all this and leave it to others to care about. I have fun running my experiments. I have fun talking to people who know more things that I do. I have fun writing papers. I have oh-so-much fun presenting my work at conferences and I strive to achieve a broader audience than the usual three or four people (those who have written the paper with me...). Whether or not I will officially become a mathematician, let alone a famous one, I really don't care.   
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:WHY:
 
Why mathematics and not something that pays more? I love teaching, I love not having to wake up everyday at the same time, I love having months of vacation and sometimes even paid trips to foreign countries. Plus, computer algebra and algebraic analysis are horizontal, rather then vertical: I hate specializing, I like bridges. And CoCoA is easy to use, Italian, and free! Sometimes we are too lazy to carry out computations by hand. Sometimes, there is no other way to do it: you need a computer. Most of the times, it's actually challenging to teach a machine to do what you would like it to perform. Somehow, it's like teaching a very good and motivated student who has basically no knowledge of your subject...aren't those the best students? Ok, sometimes it's like training a monkey... but the show must go on.
 
:MORE:
 
* I like what Giancarlo Rota has to say about being a mathematician.
 
* And I am truly amused by this: [a day of a graduate student]
 
 

 

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