Rafael Holanda

About

Currently, I am a professor at the Universidade Federal da Pernambuco (UFPE). I have a research interest in commutative algebra and algebraic geometry, with experience in the following subjects: local cohomology; Castelnuovo-Mumford regularity, and homological dimensions.

Employment

• Universidade Federal de Pernambuco Professor
  2024 - Present
• Universidade Federal da Paraíba
  2023 - 2024
• Scuola Internazionale Superiore di Studi Avanzati
  2023 - 2023

Education

• Universidade Federal da Paraíba PhD
  2018 - 2022
• Universidade Federal da Paraíba MSc
  2016 - 2018
• Universidade Federal de Pernambuco BSc
  2012 - 2015

Projects & Funding

Projects & funding information is unavailable.

Publications (10)

• An Ext-Tor duality theorem, cohomological dimension, and applications
  Bulletin des Sciences Mathématiques 2025 0 citations DOI: 10.1016/j.bulsci.2025.103696
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• Bass and Betti numbers of a module and its deficiency modules
  2024 0 citations DOI: 10.1216/jca.2024.16.197
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• COHEN-MACAULAY PAIRS
  arXiv 2024 0 citations DOI: 10.48550/arXiv.2402.06842
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• COX-GORENSTEIN ALGEBRAS
  arXiv 2024 0 citations DOI: 10.48550/arXiv.2407.17811
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• HOMOLOGICAL DIMENSIONS, THE GORENSTEIN PROPERTY, AND SPECIAL CASES OF SOME CONJECTURES
  arXiv 2024 0 citations DOI: 10.48550/arXiv.2405.00152
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• Homology of multiple complexes and Mayer-Vietoris spectral sequences
  2023 0 citations DOI: 10.1090/proc/16551
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• An Ext-Tor duality theorem, cohomological dimension, and applications
  2023 0 citations DOI: 10.48550/ARXIV.2312.09725
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• Generalized Hartshorne's problem on finiteness properties of local cohomology modules
  2023 0 citations DOI: 10.48550/ARXIV.2304.11493
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• Multigraded Tor and local cohomology
  2022 0 citations DOI: 10.48550/ARXIV.2211.14357
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• Vanishing of (co)homology, freeness criteria, and the Auslander-Reiten conjecture for Cohen-Macaulay Burch rings
  2022 0 citations DOI: 10.48550/ARXIV.2212.05521
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