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Non standard varieties

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lightbulbAbout this topic
Non-standard varieties refer to linguistic forms that deviate from the established norms of a language, often characterized by unique phonological, grammatical, or lexical features. These varieties may arise from regional, social, or contextual influences and are studied to understand language variation, identity, and the dynamics of language change.
lightbulbAbout this topic
Non-standard varieties refer to linguistic forms that deviate from the established norms of a language, often characterized by unique phonological, grammatical, or lexical features. These varieties may arise from regional, social, or contextual influences and are studied to understand language variation, identity, and the dynamics of language change.

Key research themes

1. How do degeneracy loci and determinantal conditions characterize special algebraic varieties?

This research theme focuses on varieties defined by rank conditions or degeneracy loci arising from symmetric or skew-symmetric bundle maps, or determinantal equations. It explores the geometric and cohomological properties of such varieties, including their classes expressed via Chern classes, conditions for generic finite determinacy, and geometric interpretations within algebraic geometry. These determinantal varieties bridge local and global properties and provide foundational examples for singularity theory and deformation problems.

Key finding: Established explicit cohomology class formulas for degeneracy loci of symmetric and skew-symmetric bundle maps over compact oriented manifolds, generalizing Porteous' formula to these contexts. Introduced 'squaring principle'... Read more
Key finding: Demonstrated that generic determinantal varieties of fixed type (m, n, t) defined by matrices with generic homogeneous polynomial entries are essentially isolated determinantal singularities (EIDS). Proved that finite... Read more
Key finding: Generalized the concept of polar loci and polar classes from smooth to singular varieties via generic immersions and normalizations. Derived formulas expressing polar classes as pushdowns of Chern classes of associated... Read more

2. What are the criteria and geometric conditions ensuring equisingularity and Whitney regularity in families of singular curves and varieties?

This theme investigates conditions under which families of algebraic curves and surfaces with singularities vary ‘equisingularly’ – that is, their singularities behave uniformly across the family. The focus is on characterizations of Whitney regularity, Zariski’s discriminant criterion, topological triviality, and their equivalence or nuances in non-reduced or generically reduced cases. It includes an analysis of equisingularity criteria's stability under modifications such as blow-ups and Nash modifications, and studies implications for normalization and smoothness of total spaces.

Key finding: Proved that Whitney regularity and Zariski's discriminant criterion are equivalent for one-parameter flat families of generically reduced curves, extending classical results beyond reduced curves. Showed topological... Read more
Key finding: Surveyed progress on varieties parameterizing projective curves with fixed numbers and types of singularities, focusing on universal numerical sufficient conditions guaranteeing nonemptiness, T-smoothness (transversality of... Read more
Key finding: Introduced the multicross singularities on weakly normal varieties and showed their locus is open dense with codimension at least two complement, enabling stratifications of weakly normal varieties. Developed Hartogs-type... Read more

3. How do social and linguistic factors influence the acquisition and maintenance of nonstandard varieties and language use in education?

This theme addresses the sociolinguistic and educational dynamics of nonstandard language varieties, focusing especially on mixed languages or lingua francas (such as Sepitori) and their influence on standard language acquisition among home language learners. It examines the sociopolitical and cultural implications of mixed varieties in classrooms, how learners' home language backgrounds influence their written and spoken output, and educators' perspectives on the status and pedagogical treatment of nonstandard varieties within formal education.

Key finding: Established that informal caste-based social networks critically influence adoption and diffusion of improved rice varieties among Indian farmers, showing marginal caste individuals as key informal leaders when dominant... Read more
Key finding: Provided complete geometrico-combinatorial classifications of normal real affine varieties with effective actions of the real circle group (non-split real form of the multiplicative group), by extending Altmann-Hausen... Read more
Key finding: Showed that learners whose home language is Setswana but who speak Sepitori, a mixed lingua franca, exhibit significant influence of Sepitori in their standard Setswana written output across three Tshwane townships. Educators... Read more

All papers in Non standard varieties

This article investigated the impact of non-standard dialects on Grade 10 learners at the two selected high schools in Winterveldt concerning writing Setswana and how to improve the written competency of Setswana Home Language (HL)... more
This contribution is an empirical study of morphosyntactic complexity variance in more than four dozen varieties of English, based on four diVerent complexity notions and combining two diVerent data sources.1 Our point of departure is... more
European Portuguese is the only Romance language displaying an é que-cleft structure, i.e. a strategy in which the focused constituent is fronted followed by é que 'is that'. The analysis of data from the corpus CORDIAL-SIN shows that... more
This paper explored Sesotho sa seterateng (an informal Sesotho language in Lesotho) to establish the traditional function of Sesotho in the 21st century at schools. The observation made was that, as much as Sesotho sa seterateng is... more
This article aims at investigating how isiZulu speakers residing in Soshanguve report on the use of their ethnic language, isiZulu, and to use the outcomes to confirm how their language continues to be powerfully maintained in Soshanguve.... more
In this paper we will report on recent and ongoing research on large-scale morphosyntactic variation in non-standard varieties of English. Our empirical basis will be what may be called the 'World Atlas of Morphosyntactic Variation in... more
This article established how a mixed language spoken as a lingua franca by black residents of Tshwane, known as Sepitori, influenced learners who studied Setswana as a home language at three high schools in GaRankuwa, Mabopane and... more
This article established how a mixed language spoken as a lingua franca by black residents of Tshwane, known as Sepitori, influenced learners who studied Setswana as a home language at three high schools in GaRankuwa, Mabopane and... more
This article established how a mixed language spoken as a lingua franca by black residents of Tshwane, known as Sepitori, influenced learners who studied Setswana as a home language at three high schools in GaRankuwa, Mabopane and... more
This paper examines the use of a lexical variety used by women prisoners in Swaziland. It analyses whether women prisoners living as a community manipulate language to encode their own terminology in order to remain separate from the... more
This article established how a mixed language spoken as a lingua franca by black residents of Tshwane, known as Sepitori, influenced learners who studied Setswana as a home language at three high schools in GaRankuwa, Mabopane and... more
This article established how a mixed language spoken as a lingua franca by black residents of Tshwane, known as Sepitori, influenced learners who studied Setswana as a home language at three high schools in GaRankuwa, Mabopane and... more
Sepitori is a mixed language which Black residents of Tshwane speak as a lingua franca. In June 2017, #LearnPitori took South Africa by storm soon after a twitterati posted what s/he deemed to be Sepitori and called out other twitterati... more
This paper will outline the theoretical and methodological aspects of comparative research on youth language (with a special focus on the pluricentric Spanish language) in order to arrive at a reliable description of the characteristics... more
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