About the Authors

Fulvio Gesmundo

Postdoc at QMath

University of Copenhagen

Denmark

fulges[ta]math[td]ku[td]dk

Postdoc at QMath

University of Copenhagen

Denmark

fulges[ta]math[td]ku[td]dk

**Fulvio Gesmundo**works in algebraic geometry and representation theory, focusing on problems originating in theoretical computer science and quantum information theory. He obtained his M.Sc. in Mathematics in 2012 at the University of Florence (Italy) under the supervision of Giorgio Ottaviani, and his Ph.D. in Mathematics in 2017 at Texas A&M University under the supervision of Joseph M. Landsberg. His Master's Thesis deals with the classical tensor rank problem in algebraic geometry. His Ph.D. thesis concerns the study of geometric and representation theoretic aspects of matrix rigidity, a problem originally proposed by L. Valiant in the 70s to prove lower bounds on the complexity of the discrete Fourier transform. Gesmundo is currently a postdoc at the University of Copenhagen, where his research focuses on tensor decomposition problems related to quantum information.

Joseph M. Landsberg

Professor

Dept. of Mathematics

Texas A&M University

College Station, TX

jml[ta]math[td]tamu[td]edu

www.math.tamu.edu/~jml

Professor

Dept. of Mathematics

Texas A&M University

College Station, TX

jml[ta]math[td]tamu[td]edu

www.math.tamu.edu/~jml

**Joseph M. Landsberg**works on questions at the interface of algebraic geometry, differential geometry and representation theory. His current research is focused on geometric problems originating in complexity theory. Landsberg obtained his Ph.D. in 1990 from Duke University under the direction of Robert Bryant on minimal submanifolds and a generalization of calibrations. He has directed ten Ph.D. theses, is the author of three monographs,

*Tensors: Asymptotic Geometry and Developments 2016-2018*(AMS-CBMS),

*Geometry and Complexity Theory*(Cambridge), and

*Tensors: Geometry and Applications*(AMS), a coauthor of the monograph

*Cartan for Beginners*(AMS), and has published over 75 research articles. In Fall 2014 he co-organized the semester

*Algorithms and Complexity in Algebraic Geometry*at the Simons Institute for the Theory of Computing, Berkeley. At the same time he was also the Chancellor's Professor at U.C. Berkeley and gave a course on geometry and complexity theory.