Jean-Francois Biasse
University of South Florida, FL·Mathematics & Statistics
Secure online communication, reliable data transmission and future quantum computers all depend on algebra, the branch of mathematics that studies abstract structures and equations. This training grant builds research teams at the University of South Florida in applied algebra.
- Fields
Mathematics & Statistics
Computer Science
- Topics
applied algebra
cryptography
shortest vector problem
- Grants
- 1 known grant, through Aug 2030
What they work on
- Investigate hard algebraic and number-theoretic problems, including finding short vectors in Euclidean lattices, isogenies between curves, and inverting group actions, as foundations for next-generation cryptosystems.
- Study error-correcting codes, which fix errors introduced when data are transmitted, with emphasis on the repair problem for recovering lost data and on code-based cryptography.
- Design quantum algorithms for applied algebra problems that classical computers cannot solve, and use computational algebra and error-correcting codes to improve quantum circuits and protect them from noise.
- Train undergraduates, graduate students and postdoctoral researchers in teams that span career stages, with mentoring, peer tutoring, internships and a Florida Hub for Applied Algebra run with Florida Atlantic University.
More about the research
Each team includes faculty, postdoctoral researchers, graduate students and undergraduates. The teams focus on three applications: cryptography, coding theory and quantum computing.
Why it matters
The cryptography research aims to identify hard mathematical problems on which stronger encryption systems could be built. The coding theory and quantum computing research could make data transmission and quantum circuits more resistant to errors. The program also aims to prepare more mathematically trained people for the cybersecurity and quantum computing workforce.
Known grants
From NIH and NSF research grants. Labs often have other funding we can't see.
Closest labs
Jason LeGrow
Virginia Polytechnic Institute and State University, VA·Computer Science
Construct post-quantum blind signatures, threshold signatures and multisignatures based on lattices, error-correcting codes and group actions such as isogenies, maps between elliptic curves.
Frauke Bleher
University of Iowa, IA·Mathematics & Statistics
Improve explicit constructions of infinite families of number fields with small root discriminants, using Galois cohomology, explicit Chebotarev theorems and p-adic and modular-form methods related to Hilbert's 12th problem.
Ryan O'Donnell
Carnegie Mellon University, PA·Computer Science
Find new elementary methods for constructing high-dimensional expanders, highly interconnected mathematical networks, that avoid the advanced algebra and number theory used in current constructions.
The school
University of South Florida: 20 labs on PI Pages, $522M a year on research, 305 research doctorates a year.
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