Dr. Nevins’ research is in algebra. Her particular interests include the structure and representation theory of algebraic groups over the p-adic numbers. She also explores applications to cryptography, particularly in the post-quantum context.
Current Students and Postdocs
- Serine Bairakji (PhD)
- Caroline Scassa (MSc)
- Yafei Zhu (MSc)
Research Groups
- Algebra,
- Lie Theory,
- Quantum Security via Algebras and Representation Theory (QUaSAR)
Selected publications
- Monica Nevins and Susanne Pumplün, "A parametrization of nonassociative cyclic algebras of prime degree," Journal of Algebra, Volume 664, Part A, pages 631--654, February 2025.
- Mengyuan Cao, Monica Nevins,and Hadi Salmasian, "The refined solution to the Capelli eigenvalue problem for gl(m|n)⊕gl(m|n) and gl(m|2n)," Indagationes Mathematicae, Vol 36, Issue 1, pages 218-244, January 2025.
- Monica Nevins, "The local character expansion as branching rules: nilpotent cones and the case of SL(2),", Pacific Journal of Mathematics, Vol. 329 (2024), No. 2, 259--301.
- Laura Maddison and Monica Nevins, "A Classically Efficient Forgery of MPPK/DS Signatures," La Matematica 3, 573–587 (2024).