Antonio Córdoba – författare

This volume explores how Latin American and Latinx creators have engaged science fiction to explore posthumanist thought. Contributors reflect on how Latin American and Latinx speculative art conceptualizes the operations of other, non-human forms of agency, and engages in environmentalist theory in ways that are estranging and open to new forms of species companionship. Essays cover literature, film, TV shows, and music, grouped in three sections: “Posthumanist Subjects” examines Latin(x) American iterations of some of the most common figurations of the posthuman, such as the cyborg and virtual environments and selves; “Slow Violence and Environmental Threats” understands that posthumanist meditations in the hemisphere take place in a material and cultural context shaped by the catastrophic destruction of the environment; the chapters in “Posthumanist Others” shows how the reimagination of the self and the world that posthumanism offers may be an opportunity to break the hold thatoppressive systems have over the ways in which societies are constructed and governed.

This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems. Several connections to number theory, crystallography or atomic theory are also surveyed. The term “suprematism” refers to a certain geometric point of view underlying proofs and arguments.

The opening of the book is dedicated to a few results, with short statements and proofs, that could be called “mathematical haikus”. Then, in the first part of the book, singular integrals beyond the classical Calderón-Zygmund theory, such as Vitali-type covering lemmas and estimates for the corresponding maximal operators, are explored. The exponential overlapping of parallelepipeds, the strong maximal function, and Zygmund''s conjecture about monotonic bases are also covered. The core of this part is devoted to the Kakeya maximal function and its relation to the spherical summation of Fourier series and integrals. The two-dimensional case is well understood, but the case of higher dimensions still presents many open problems and conjectures. The chapters in the second part of the book treat questions at the interface of harmonic analysis and number theory, including applications of the Poisson summation formula to crystallography and arithmetic, estimates of the Minkowski dimension of Riemann graphs, random lattice point problems, and the role of Weyl sums in atomic energy oscillations.

With a focus on rigorous research insights for graduate students and researchers in mathematics, this book provides a comprehensive journey through the hidden landscapes of harmonic analysis.