On definitions of "mathematician"

The definition of who is or what makes a ``mathematician" is an important and urgent issue to be addressed in the mathematics community. Too often, a narrower definition of who is considered a mathematician (and what is considered mathematics) is used to exclude people from the discipline -- both explicitly and implicitly. However, using a narrow definition of a mathematician allows us to examine and challenge systemic barriers that exist in certain spaces of the community. This paper explores and illuminates tensions between narrow and broad definitions and how they can be used to promote both inclusion and exclusion simultaneously. In this article, we present a framework of definitions based on identity, function, and qualification and exploring several different meanings of ``mathematician". By interrogating various definitions, we highlight their risks and opportunities, with an emphasis on implications for broadening and/or narrowing participation of underrepresented groups.Comment: 21 pages, 2 figure

Análisis de diversidad genética mediante microsatélites (SSR) en cultivares del germoplasma cubano de yuca

A study was carried out in order to make a deep analysis of the current knowledges cassava (Manihot esculenta Crantz) genetic diversity, and to evaluate its phylogenetic relationship with relatives cultivated in Africa, and South and Central America in order to facilitate a sustainable management of the genetic resources available in Cuba. A number of 94 cultivars from the Cuban cassava germplasm were studied according to their genetic or economic importance; besides, 54 clones from Africa and America, and 13 genotypes of genetic interest were incorporated. Diversity and genetic differentiation analysis were developed from data of 34 microsatellite markers (SSR). Genetic diversity indexes evidenced the high polymorphism observed for the tested microsatellites. The plant material, coming from Cuba, showed the highest allele average number per locus with 5.8 and as Guatemala, it illustrated 100% polymorphic loci. The highest mean heterozygosity indexes (Ho) are presented by Cuba and Tanzania. The mean rate of heterozygous individuals observed (Ho) was high (0.5918 ±0.0351). These results reported in Cuba for the first time in cassava, offer an important contribution to the genetic breeding program and to the sustainable management of the cassava genetic diversity in Cuba and in the Caribbean area.Key words: genetic differentiation, Manihot, markers, polymorphism, phylogenetic relationshipSe realizó un estudio con el objetivo de profundizar en el conocimiento de la diversidad genética de la yuca (Manihot esculenta Crantz), y para evaluar sus relaciones filogenéticas con parientes cultivados de África, Sur y Centroamérica, con vistas a garantizar un manejo sostenible de los recursos genéticos de que dispone Cuba. Se estudiaron 94 cultivares pertenecientes a la Colección Cubana de Yuca de acuerdo con su importancia económica y genética, además, se incorporaron 54 clones procedentes de África y América y otros 13 genotipos de interés genético. Los análisis de diversidad y diferenciación genética fueron desarrollados a partir de los datos de 34 marcadores microsatélites (SSR). Los índices de diversidad genética evidenciaron el alto polimorfismo observado para los microsatélites ensayados, el material vegetal procedente de Cuba mostró el mayor número promedio de alelos por loci con 5.8 y al igual que Guatemala presentó el 100% de los loci polimórficos; Cuba y Tanzania presentan los mayores índices de heterocigocidad media observada (Ho). La proporción promedio de individuos heterocigotos observados (Ho) fue alta (0.5918 ± 0.0351). Estos resultados, alcanzados por primera vez en Cuba en yuca, son importantes para su programa de mejoramiento genético y para el manejo sostenible de la diversidad genética en Cuba y en la región del Caribe.Palabras clave: diferenciación genética, Manihot, marcadores, polimorfismo, relaciones filogenético

The Mathematics of Mathematics: Using Mathematics and Data Science to Analyze the Mathematical Sciences Community and Enhance Social Justice

We present and discuss a curated selection of recent literature related to the application of quantitative techniques, tools, and topics from mathematics and data science that have been used to analyze the mathematical sciences community. We engage in this project with a focus on including research that highlights, documents, or quantifies (in)equities that exist in the mathematical sciences, specifically, and STEM (science, technology, engineering, and mathematics) more broadly. We seek to enhance social justice in the mathematics and data science communities by providing numerous examples of the ways in which the mathematical sciences fails to meet standards of equity, equal opportunity and inclusion. We introduce the term ``mathematics of Mathematics" for this project, explicitly building upon the growing, interdisciplinary field known as ``Science of Science" to interrogate, investigate, and identify the nature of the mathematical sciences itself. We aim to promote, provide, and posit sources of productive collaborations and we invite interested researchers to contribute to this developing body of work.Comment: 18 pages, comments welcome

Data for Quantifying and Documenting Inequities in PhD-granting Mathematical Sciences Departments in the United States

Data and code for the paper "Quantifying and Documenting Inequities in PhD-granting Mathematical Sciences Departments in the United States

Analysis by microsatellites (SSR) of genetic diversity in cultivars of Cuban cassava germplasm

A study was carried out in order to make a deep analysis of the current knowledges cassava (Manihot esculenta Crantz) genetic diversity, and to evaluate its phylogenetic relationship with relatives cultivated in Africa, and South and Central America in order to facilitate a sustainable management of the genetic resources available in Cuba. A number of 94 cultivars from the Cuban cassava germplasm were studied according to their genetic or economic importance; besides, 54 clones from Africa and America, and 13 genotypes of genetic interest were incorporated. Diversity and genetic differentiation analysis were developed from data of 34 microsatellite markers (SSR). Genetic diversity indexes evidenced the high polymorphism observed for the tested microsatellites. The plant material, coming from Cuba, showed the highest allele average number per locus with 5.8 and as Guatemala, it illustrated 100% polymorphic loci. The highest mean heterozygosity indexes (Ho) are presented by Cuba and Tanzania. The mean rate of heterozygous individuals observed (Ho) was high (0.5918 ±0.0351). These results reported in Cuba for the first time in cassava, offer an important contribution to the genetic breeding program and to the sustainable management of the cassava genetic diversity in Cuba and in the Caribbean area. Key words: genetic differentiation, Manihot, markers, polymorphism, phylogenetic relationshi