A degree bound for codimension two lattice ideals

Herzog and Srinivasan have conjectured that for any homogeneous k-algebra, the degree is bounded above by a function of the maximal degrees of the syzygies. Combining the syzygy quadrangle decomposition of Peeva and Sturmfels and a delicate case analysis, we prove that this conjectured bound holds for codimension 2 lattice ideals

Gluing semigroups and strongly indispensable free resolutions

We study strong indispensability of minimal free resolutions of semigroup rings. We focus on two operations, gluing and extending, used in literature to produce more examples with a special property from the existing ones. We give a naive condition to determine whether gluing of two semigroup rings has a strongly indispensable minimal free resolution. As applications, we determine extensions of $3$-generated non-symmetric, $4$-generated symmetric and pseudo symmetric numerical semigroups as well as obtain infinitely many complete intersection semigroups of any embedding dimension, having strongly indispensable minimal free resolutions.Comment: Internat. J. Algebra Compu

Cayley-Bacharach and evaluation codes on complete intersections

In recent work, J. Hansen uses cohomological methods to find a lower bound for the minimum distance of an evaluation code determined by a reduced complete intersection in the projective plane. In this paper, we generalize Hansen's results from P^2 to P^m; we also show that the hypotheses in Hansen's work may be weakened. The proof is succinct and follows by combining the Cayley-Bacharach theorem and bounds on evaluation codes obtained from reduced zero-schemes.Comment: 10 pages. v2: minor expository change

Capoeira and Hip Hop in North East Brazil: Resistance to Inequality

In my MA thesis I argue that engagement in Capoeira and Hip Hop by Afro-Indigenous youth and community members in NorthEast Brazil ruptures their historically unequal status and enacts collective social change. My thesis is grounded on two programs I co-founded, “Capoeira for Street Kids” (Canada and Brazil) and “Hip Hop Rescues Kids” (Brazil). Both programs I co-created in 2005 with street involved and homeless kids and youth in Brazil. Both are unique forms of decolonizing research methodology and practice focused on healing from an Afro-Indigenous Brazilian worldview. The programs covers street health, harm reduction and community outreach with homeless and street involved people. This work is collaborative with communities with a history of diverse challenges including: poverty, homelessness, violence and addictions/mental health

They don\u27t say it up front : immigrant-origin high school students\u27 experiences of disrespect and racial microaggressions by teachers : a project based upon a group research investigation

This qualitative study used counter-storytelling methodology from Critical Race Theory to explore 15 racial and ethnic minority immigrant-origin high school students’ experiences of racial microaggressions by teachers. Previous research focuses on overt racism with youth or microaggressions with adults, but has not addressed subtle racism experienced by high school students. The findings suggest immigrant-origin experience teacher disrespect as racial microaggressions, including those that are related to immigrant identity. Though not conclusive, the results indicate that experiences of racial microaggressions and responses may differ for immigrant-origin youth with different generation status. Teachers’ racial sensitivity and school climate were demonstrated to be important factors for further exploration. This study’s focus on immigrant youth experiences in school is timely given the influence that the current U.S. political climate around immigration has on classroom dynamics, and thus has immediate implications for teachers, administrators, and social workers

Betti Numbers and Degree Bounds for Some Linked Zero-Schemes

In [J. Herzog, H. Srinivasan, Bounds for multiplicities, Trans. Amer. Math. Soc. 350 (1998) 2879–2902], Herzog and Srinivasan study the relationship between the graded Betti numbers of a homogeneous ideal II in a polynomial ring RR and the degree of II. For certain classes of ideals, they prove a bound on the degree in terms of the largest and smallest Betti numbers, generalizing results of Huneke and Miller in [C. Huneke, M. Miller, A note on the multiplicity of Cohen–Macaulay algebras with pure resolutions, Canad. J. Math. 37 (1985) 1149–1162]. The bound is conjectured to hold in general; we study this using linkage. If R/IR/I is Cohen–Macaulay, we may reduce to the case where II defines a zero-dimensional subscheme YY. If YY is residual to a zero-scheme ZZ of a certain type (low degree or points in special position), then we show that the conjecture is true for IYIY

Meanings of Cultural Participation at the Neighborhood Level: A Focus Group Analysis

In February and March 2004, Research for Action conducted three focus groups in North Philadelphia and Camden, NJ to shed light on the meanings of cultural participation in these low-income urban neighborhoods. Participants were recruited through neighborhood associations, senior centers, and churches to engage residents who were active in the community but not closely affiliated with arts and cultural organizations. The focus groups were designed to reveal how residents define cultural participation, the range of cultural activities in which they participate, how they express themselves creatively, and the barriers to cultural participation in these neighborhoods

Medication Abortion: A Sample Protocol for Increasing Access During a Pandemic and Beyond

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Determination of SID Tryptophan to Lysine Ratio in Nursery Pigs

Four hundred and fiftynewly weaned nursery pigs were observed over a 35-day period at the Iowa State University Swine Nutrition Farm. Pigs were weighed and allotted to 1 of 5 treatments upon arriving, averaging 6.49 ± 0.40 kg for an initial bodyweight. All pigs were had ad libitumaccessto feed and water. The 5 treatments consisted of differing ratios of SID tryptophan to lysine, as follows: 0.150 Trp:Lys, 0.175 Trp:Lys, 0.200 Trp:Lys, 0.225 Trp:Lys, and 0.250 Trp:Lys. The overall data indicate that there is no further advantage in termsof growth performance and feed efficiency by having a diet containing a Trp:Lys ratio greater than 0.175 for nursery pigs. The Trp:Lys ratio largely explained variation in feed efficiency, but not ADG or ADFI. These data are supportive of the Trp:Lys ratio (Trp:Lys = 0.170) specified by the NRC (2012)