Josep Àlvarez Montaner

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Research Topics

• Commutative Algebra: Local cohomology modules, Lyubeznik numbers.
• Combinatorial Commutative Algebra: Stanley-Reisner rings, Zⁿ-graded modules, binomial edge ideals.
• Positive characteristic methods: Algebras of Frobenius and Cartier operators and their modules.
• Invariants of Singularities:
  • Multiplier ideals, jumping numbers.
  • Bernstein-Sato polynomials.
  • Test ideals, F-jumping numbers.
• D-modules: Holonomicity, V-filtrations, Riemann-Hilbert correspondence.

Singulab

Other

• Executive board member of Centre de Recerca Matemàtica: In charge of the BGSMath Training Unit.
• Editorial board member of Journal of Algebraic Combinatorics: Check the webpage for submissions.