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This volume contains the proceedings of the Arizona School of
Analysis and Mathematical Physics, held from March 5-9, 2018, at
the University of Arizona, Tucson, Arizona. A main goal of this
school was to introduce graduate students and postdocs to exciting
topics of current research that are both influenced by physical
intuition and require the use of cutting-edge mathematics. The
articles in this volume reflect recent progress and innovative
techniques developed within mathematical physics. Two works
investigate spectral gaps of quantum spin systems. Specifically,
Abdul-Rahman, Lemm, Lucia, Nachtergaele, and Young consider
decorated AKLT models, and Lemm demonstrates a finite-size
criterion for $D$-dimensional models. Bachmann, De Roeck, and Fraas
summarize a recent proof of the adiabatic theorem, while Bachmann,
Bols, De Roeck, and Fraas discuss linear response for interacting
Hall insulators. Models on general graphs are the topic of the
articles by Fischbacher, on higher spin XXZ, and by Latushkin and
Sukhtaiev, on an index theorem for Schrodinger operators.
Probabilistic applications are the focus of the articles by DeMuse
and Yin, on exponential random graphs, by Saenz, on KPZ
universality, and by Stolz, on disordered quantum spin chains. In
all, the diversity represented here is a testament to the
enthusiasm this rich field of mathematical physics generates.
Performing in a country rife with racism and segregation, the tenor
Roland Hayes was the first African American man to reach
international fame as a concert performer and one of the few
artists who could sell out Town Hall, Carnegie Hall, Symphony Hall,
and Covent Garden. His trailblazing career carved the way for a
host of African American artists, including Marian Anderson and
Paul Robeson. Performing the African American spirituals he was
raised on, Hayes's voice was marked with a unique sonority which
easily navigated French, German, and Italian art songs. A
multiculturalist both on and off the stage, he counted among his
friends George Washington Carver, Eleanor Roosevelt, Ezra Pound,
Pearl Buck, Dwight Eisenhower, and Langston Hughes. This engaging
biography spans the history of Hayes's life and career and the
legacy he left behind as a musician and a champion of African
American rights. It is an authentic, panoramic portrait of a man
who was as complex as the music he performed.
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