Munir Ben Jemaa

Munir Ben Jemaa

Mentor

Dr. Scott McCullough

College

College of Liberal Arts and Sciences

Major

Mathematics

Minor

N/A

Organizations

UF Club Ultimate, UF Quiz Bowl

Academic Awards

Benacquisto Scholarship, UF President's Honor Roll

Volunteering

N/A

Research Interests

Noncommutative algebra

Hobbies and Interests

Chess, puzzles (especially of the crossword variety), reading

Research Project

Automorphisms of a Free Spectrahedron

The purpose of this project is to investigate the automorphisms of what is arguably the simplest example of a free spectrahedron whose automorphisms have not yet been classified. A spectrahedron is the scalar solution set of a Linear Matrix Inequality (LMI), generalizing the notion of a polytope from linear programming. They are the basis for semidefinite programming (SDP) within convex optimization. Free spectrahedra are their matricial analogs, and have more structure and are hence more tractable. Free spectrahedra have connections to quantum information theory and systems engineering, and the study of their automorphisms has close ties to noncommutative algebra.

  • Dr. Scott McCullough
  • Mathematics
  • N/A
  • Noncommutative algebra
  • Benacquisto Scholarship, UF President's Honor Roll
  • UF Club Ultimate, UF Quiz Bowl
  • N/A
  • Chess, puzzles (especially of the crossword variety), reading
  • Automorphisms of a Free Spectrahedron
  • The purpose of this project is to investigate the automorphisms of what is arguably the simplest example of a free spectrahedron whose automorphisms have not yet been classified. A spectrahedron is the scalar solution set of a Linear Matrix Inequality (LMI), generalizing the notion of a polytope from linear programming. They are the basis for semidefinite programming (SDP) within convex optimization. Free spectrahedra are their matricial analogs, and have more structure and are hence more tractable. Free spectrahedra have connections to quantum information theory and systems engineering, and the study of their automorphisms has close ties to noncommutative algebra.