Deformation Theory and Partition Lie Algebras

A theorem of Lurie and Pridham establishes a correspondence between formal moduli problems and differential graded Lie algebras in characteristic zero, thereby formalising a well-known principle in deformation theory. We introduce a variant of differential graded Lie algebras, called partition Lie algebras, in arbitrary characteristic. We then explicitly compute the homotopy groups of free algebras, which parametrise operations. Finally, we prove generalisations of the Lurie-Pridham correspondence classifying formal moduli problems via partition Lie algebras over an arbitrary field, as well as over a complete local base.Comment: 89 page

When Mommy or Daddy is Gay: Developing Constitutional Standards for Custody Decisions

Divorce can be one of the most traumatic and stressful experiences a person will undergo in his or her lifetime. When the trauma of divorce is intensified by a battle over custody of one\u27s children, the process becomes even more difficult. When someone involved in that process is at the same time dealing with issues of same-sex orientation, perhaps for the first time, it is easy to see why gay, lesbian, or bisexual individuals involved in a dissolution of marriage may experience extreme pressure, since the issue of their sexual orientation could become a critical issue in the court proceedings. When gay and lesbian parents are forced to make the choice between their children and their partners, or when courts make that choice for them by imposing draconian restrictions based on myths about how homosexuality impacts child-rearing, the impact of divorce is particularly heartbreaking

Regional evolutionary distinctiveness and endangerment as a means of prioritizing protection of endangered species

Conservation is costly, and choices must be made about where to best allocate limited resources. I propose a regional evolutionary diversity and endangerment (RED-E) approach to prioritization of endangered species. It builds off of the evolutionary diversity and global endangerment (EDGE) approach, but will allow conservation agencies to focus their efforts on species in specific regions. I used the RED-E approach to prioritize mammal and bird species listed under the U.S. Endangered Species Act (ESA), as well as to make a ranking of species without ESA critical habitat (CH), as a practical application. Regional conservation approaches differ significantly from global approaches. The RED-E approach places a high significance on the level of endangerment of a species, but also allows for very distinct species to have increased prioritization on the RED-E list. Using the CH RED-E list, the U.S. government could begin focusing resources toward endangered and genetically diverse species

Simplified electrometer has excellent operating characteristics

Simplified and improved electrometer circuit provides high-input impedance, stability of gain and operating point, linear response, and low power requirements

Ocupar las plazas con tuits. Una propuesta para el análisis de la gobernanza de los espacios comunicativos

The demonstration in 2012 in front of the Chamber of Deputies in Madrid serves to introduce a model for analysing communication spaces. During the demonstration, an online map of the centre of Madrid was used to collect the geolocated tweets of protestors under the hashtag #voces25s. A colour code represented the location of the citizens as well as the police charges. In that demonstration, and many that have followed since, a communication space was created across the virtual and the physical realms. In order to understand the socio-political conditions of this space for public discussion, four modes of analysis are introduced: representations, textures, structures and connections