Paolo Mantero
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Assistant Professor
Formerly Arkansas Affiliated with University of Arkansas through 2024.
Faculty Researcher
Research Areas
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Biography and Research Information
OverviewAI-generated summary
Paolo Mantero's research interests lie in the field of algebraic geometry and commutative algebra, with a specific focus on the homological properties of algebraic varieties and ideals. His work investigates concepts such as projective dimension, symbolic powers of matroids, and related structures. He has published research on the Alexander–Hirschowitz Theorem and its associated problems, as well as on linear bounds for the projective dimension of certain types of ideals.
Mantero has also explored the structure of symbolic powers of matroids, including their local properties and connections to other algebraic concepts. His contributions extend to the study of focal matroids of covers and their homological characteristics. As a federally funded principal investigator, he has received support from the National Science Foundation (NSF) for organizing mathematical conferences, including the 51st and 50th Arkansas Spring Lecture Series in the Mathematical Sciences. He maintains an active lab website to disseminate his research activities.
Metrics
- h-index: 7
- Publications: 38
- Citations: 120
Selected Publications
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A formula for symbolic powers (2024)
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The structure of Koszul algebras defined by four quadrics (2022)
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Betti numbers of the conormal module of licci rings (2021)
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The Alexander–Hirschowitz Theorem and Related Problems (2021)
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Betti numbers of Koszul algebras defined by four quadrics (2020)
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The structure and free resolutions of the symbolic powers of star configurations of hypersurfaces (2020)
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Singularities of Rees-like algebras (2020)
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The projective dimension of three cubics is at most 5 (2018)
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Hypergraphs with high projective dimension and 1-dimensional hypergraphs (2017)
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Arithmetical rank of strings and cycles (2017)
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A finite classification of (x, y)-primary ideals of low multiplicity (2017)
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Chudnovsky's conjecture for very general points in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup></mml:math> (2017)
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A tight bound on the projective dimension of four quadrics (2017)
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Projective Dimension of String and Cycle Hypergraphs (2016)
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Generalized stretched ideals and Sally's conjecture (2015)
Federal Grants 2 $61,600 total
Conference: 50th Arkansas Spring Lecture Series in the Mathematical Sciences
Conference: 51st Arkansas Spring Lecture Series in the Mathematical Sciences
Collaboration Network
Top Collaborators
- The Alexander–Hirschowitz Theorem and Related Problems
- The structure of Koszul algebras defined by four quadrics
- Betti numbers of the conormal module of licci rings
- A formula for symbolic powers
- A formula for symbolic powers