Paolo Mantero

Bilsland Dissertation Fellow

Department of Mathematics
Purdue University

Hello, my name is Paolo Mantero, a finishing Ph.D. student in the Department of Mathematics of Purdue University (graduation date: August 2012) I was born in Mississauga (Canada) and lived many years in Genova (Italy), hence no surprise that I have dual citizenship: Canadian and Italian.

Below you will find links to my Vita, my research and my teaching, and a list of my recent and upcoming talks.

Vita

During the years 2001-2006, I completed my Laurea Triennale and my Laurea Specialistica (together, they are slighly less than the B.Sc. + M.Sc.) in Mathematics at the Department of Mathematics of the University of Genova, in Italy. My advisors were Prof. Tito Valla and Prof. Marilina Rossi. My Laurea's Dissertation is entitled Minimal graded free resolutions of Artin level algebras.

During my first years at the University of Genova, I was the recipient of the Outstanding Student Award for the years 2002-2003 and 2003-2004. This honorary and monetary award is given to selected students in the whole University of Genova.
Later, in 2004, after passing selective tests, I became a recipient of the INDAM National Fellowship, a 2-year fellowship awarded to 15 students nationwide.

In Fall 2006, I started my Ph.D. in Mathematics at Purdue University.

If you are interested, here is the link to my Vita.

Research

My advisor is Professor Bernd Ulrich.

My area of research is Commutative Algebra and its interactions with Algebraic Geometry and Homological Algebra. My thesis is entitled Linkage and Hilbert functions. As the title suggests, I work in Linkage (Liaison) and Hilbert Functions. However, my research involves Residual Intersection Theory (a generalization of Linkage), Multiplicity Theory and the study of several homological invariants, both in the graded and local setting.

If you are interested in learning more about my research, or if you look for my papers and preprints, just click here.

Teaching

Teaching is an invaluable and essential component of my professional life. It gives me the opportunity of communicating to the students the ideas and connections that make Mathematics so beautiful. At the same time, I often learn from the students different perspectives and new approaches to the subject, thanks to their comments and the frequent in-class discussions. Therefore, teaching plays a crucial role in my professional and human growth.

However, since I am a recipient of the Bilsland Dissertation Fellowship for the year 2011-2012, I do not teach for the whole year.

If you are interested, you may find here a link, summarizing the courses I taught in the last years.



Recent and upcoming invited talks:

Liaison classes of non-licci ideals, University of Illinois (UIUC), April 2012.

Hilbert functions, associated graded rings and Sally's Conjecture (2 talks), University of Nebraska, April 2012.

An approach to study the liaison classes of non-licci ideals, AMS Meeting at the University of Kansas, March 2012.

Liaison classes of non-licci ideals, New Mexico State University, March 2012.

Linkage and homological equivalence of ideals, University of Genova (Italy), January 2012.

Hilbert function and a question of Vasconcelos, University of Genova (Italy), January 2012.

Liaison and Hilbert functions, University of Basel (Switzerland), December 2011.



Interestingly, I appear (with my co-author and good friend, Y. Xie) on the front page of the above AMS brochure (on job search) for the year 2011-2012.


--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Mailing address:   

Department of Mathematics
Office 701
Purdue University
150 N University St
West Lafayette, IN 47907-2067
U.S.A.
Contact Information:

Office Phone:  +1-(765)-494-5964

Email Address:  pmantero@math.purdue.edu