The Program in Indo-European Studies at the University of California, Los Angeles, sponsors an Annual UCLA Indo-European Conference. The Conference welcomes participation by linguists, philologists, and others engaged in all aspects of Indo-European studies. These Proceedings include papers presented at the Thirty-Second Annual UCLA Indo-European Conference, held in an online format. Inhalt: Preface Michele Bianconi: A New Look at Phrygian Metre Chiara Bozzone and Ryan Sandell: One or Many Homers? Using Quantitative Authorship Analysis to Study the Homeric Question Isabelle de Meyer: Myc. a-mo and Gk. ?? a: The Enigma that Keeps on Rolling Benjamin W. Fortson IV: The ber Necessities: The Second Singular Aorist Imperative in Armenian Jose L. Garcia Ramon: The Greek Infinitives in Aor. -sa?, Med.-Pass. -es?a?, -s?a? Riccardo Ginevra: On Chariots and at Sea: Indo-European Gods of Mobility Old Norse Njor r, Vedic Sanskrit Na satya-, and Proto-Indo-European *nes-?t-/-et- 'returning (safely home), arriving (at the desired goal)' Stefan Hofler: Greek Adjectives in -?? (-??): An Overlooked Type? Anahita Hoose: On Aorist Stems Surviving in Epic Sanskrit Ronald I. Kim: The Prehistory of Ossetic Verbal Inflection (I): Present Indicative and Imperative Jared S. Klein: On Double Determination in the Classical Armenian Noun Phrase Valentina Lunardi: f-feature Hierarchy and Old Irish Object Pronoun Distribution Teigo Onishi: Clitic Doubling in Tocharian B Zachary Rothstein-Dowden: Against the Supposed Law of Geminate Sibilant Occlusion in Indic Andrei Sideltsev: Finer-Grained Hittite Syntax: Hittite Philology and Theory-Dependent Construals The Case of Vocatives and the Left Periphery Anthony D. Yates: Emergent Mobility in Indo-European *-r/n-stems and Its Implications for the Reconstruction of the Neuter Plural