Mathematics Research Center

On a Computational Approach to the Nash Blowup Problem

In this paper, we describe the implementation that led to the counterexamples to the Nash blowup conjectures recently discovered by the authors. We also provide new examples of toric varieties with prescribed singularities that are not resolved by the normalized Nash blowup, incl...

Post-disturbance temperate reef states influence fish contributions to nature and people

Abstract Background Climate-driven habitat reorganization is reshaping the capacity of marine ecosystems to sustain biodiversity and human well-being, with implications for SDG 14 (Life Below Water) and SDG 2 (Zero Hunger). Yet, it remains unclear to what extent post-disturbance...

Mexican illicit cigarette market in 2023: a follow-up study

Background Over the past decade, research on illicit tobacco trade in low- and middle-income countries has expanded considerably. In Latin America, independent studies have been conducted in at least seven countries, including Mexico, where the illicit cigarette market was estima...