Paolo Mantero Source Confirmed
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Assistant Professor
University of Arkansas at Fayetteville
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Biography and Research Information
OverviewAI-generated summary
Paolo Mantero's research focuses on abstract algebra, particularly in the areas of commutative algebra and algebraic geometry. His work investigates the properties of algebraic structures, including symbolic powers of ideals, Koszul algebras, and canonical modules.
Mantero has published on topics such as the Alexander–Hirschowitz Theorem and its related problems, providing formulas for symbolic powers and examining the structure of specific algebraic objects like Koszul algebras defined by quadrics. He also studies the characteristics of canonical modules and class groups within Rees-like algebras, as well as the Betti numbers of conormal modules for certain classes of rings.
In addition to his research, Mantero has been involved in organizing mathematical conferences. He served as PI for the 50th Arkansas Spring Lecture Series in the Mathematical Sciences and as Co-PI for the 51st iteration of the same series, both funded by the National Science Foundation (NSF). These grants totaled $61,600. With 38 publications, an h-index of 7, and 117 citations, Mantero maintains an active research presence.
Metrics
- h-index: 7
- Publications: 38
- Citations: 117