Carlos Simpson

This is my Sketchbook 2 where I share some of my ideas and thoughts using a wide variety of techniques ranging from pencil drawings to watercolour, collage to coloured pencils, to pen and ink, handwriting, colours, photography, symbols, and information that we use every day. It explores the individual in a social, cultural, and political context. As a specialist communicator, an image-maker I always start my first idea on a blank page which can be found always in my sketchbook.

A Survival Guide

Sketchbook

Bertrand Toën

Gabriele Vezzosi

Tony Pantev

Michel Vaquié

This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France. Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains. Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way.

Stacks and Categories in Geometry, Topology, and Algebra

Carlos Simpson is an Artist-Designer living and working in London – United Kingdom. My Art is an anthropological and philosophical study with the intention of better understanding first of all the Man / Woman and everything that surrounds him/her in order to understand my own existence as an individual and evolutionary matter.” Simpson explores the complex relationships between art, beauty, religion, science, life, and death, gender dynamics, question society constructs, and gender empowerment.

Identity lines and the expression of the self

PORTRAITS OF THE SELF & FINGERPRINTS

The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of higher categories. Starting with a cohesive overview of the many different approaches currently used by researchers, the author proceeds with a detailed exposition of one of the most widely used techniques: the construction of a Cartesian Quillen model structure for higher categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly associative n-categories and Segal n-categories. A corollary is the construction of higher functor categories which fit together to form the (n+1)-category of n-categories. The approach uses Tamsamani's definition based on Segal's ideas, iterated as in Pelissier's thesis using modern techniques due to Barwick, Bergner, Lurie and others.

From Segal Categories to n-Categories and Beyond

Homotopy Theory of Higher Categories

2016 has been a very intense, full year of events and Politics Design. Very different from any previous one’s. With regard to politics, seems like they were all over the media and for the first time, Fake News were an essential topic of any social-political debate. Being accustomed to posters, signs, stickers, etc., exclusively based on typography and layout. This time it was somehow different and social networks exclusively Twitter and Facebook have assumed an extremely fundamental role in elections both in Europe – UK ‘Brexit‘ and in the United States the emergence of a new character named Donald Trump. From here we can see that information and manipulation of information was the key to these choices and the results of them. So everything happens so fast like a huge snowball that exists but no many of us understand in a war of constant bombardment of information. The book is a compilation of the result of intensive research in contemporary politics. With the use of text and visual language, the author portrays the most iconic political moments not only from Brexit, Europe, United States (Donald Trump) but also from the world in general. Politics Design emphasises the importance of the political stamps in human history and identity.

Carlos Simpson

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