This short course is an introduction to the theory of harmonic Maass forms, mock modular forms, and quantum modular forms. These objects have many applications: black holes, Donaldson invariants, partitions and q-series, modular forms, probability theory, singular moduli, Borcherds products, central values and derivatives of modular L-functions, generalized Gross-Zagier formulae, to name a few....

O n his way to neurology grand rounds, Robert (Bob) Joynt, MD, PhD, died suddenly on April 13, 2012, at the age of 86 years in Rochester, New York. He is survived by his wife, Margaret; their 6 children Robert, Patricia, Mary, Anne, Thomas, and Kathleen and their spouses; and 9 grandchildren. Joynt was chief editor of the Archives of Neurology (1982-1997); a trifecta president of the American A...

Auricular, or atrial fibrillation, is one of the most common cardiac arrhythmias. The mechanism of diagnosis will not be considered here, but rather the clinical criteria for attempted reversion to normal sinus rhythm. This report is concerned with the chronic type associated with severe organic heart or vascular disease, and in those persons previously considered bad risks. The treatment of at...

9. Fontaine B, Khurana TS, Hoffman EP et al. Hyperkalemic periodic paralysis and the adult muscle sodium channel alpha-subunit gene. Science 1990; 250: 1000–1002 10. Ptacek LJ, George AL Jr, Griggs RC et al. Identification of a mutation in the gene causing hyperkalemic periodic paralysis. Cell 1991; 67: 1021–1027 11. Rojas CV, Wang JZ, Schwartz LS et al. A Met-to-Val mutation in the skeletal mu...

An analogue of the Littlewood-Offord problem posed by the first author is to find the maximum number of subset sums equal to the same vector over all ways of selecting n vectors in R in general position. This note reviews past progress and motivation for this problem, and presents a construction that gives a respectable new lower bound, Ω(2nn1−3d/2), which compares for d ≥ 2 to the previously k...

The influence of water and stress on the lattice-preferred orientation (LPO) of olivine aggregates was investigated through large strain, shear deformation experiments at high pressures and temperatures (P=0.5–2.1 GPa, T=1470–1570 K) under both waterpoor and water-rich conditions. The specimens are hot-pressed synthetic olivine aggregates or single crystals of olivine. Water was supplied to the...

Introduction: Early differentiation in evolving planetesimals likely involved a variety of different physical mechanisms. Fe-rich metallic liquid segregation can occur in a solid, partially molten, or purely molten silicate body, with or without the presence of deformation. Deformation may assist the segregation of low degree metallic melts. Segregation of Fe-S-Ni liquids formed by variable deg...

Mainstream psychologists have not pursued sexology with the enthusiasm aimed at other areas of psychological research. Ambivalence is evident in the ideological marginalization of sexology by mainstream psychology. The authors argue that scientific conflicts between the disciplines in part reflect divergent interpretations of how each discipline approaches the scientific method. By aligning psy...