Student researchers Ashley Swogger ’23 (mathematics) and Jesse Arnold ‘23 (mathematics) have become published co-authors with Dr. David Lyons, professor of mathematical sciences, in an article detailing the results of their summer 2021 research project. Their article, “Local unitary classes of states invariant under permutation subgroups,” published in the top-tier research journal Physical Review A [Phys. Rev. A, 105:032442, 2022], is about the theory and applications of entangled quantum states. With this achievement, The LVC Mathematical Physics Research Group celebrates 20 years of collaborative student-faculty research with this achievement.

Dr. David Lyons, professor of mathematical sciences, published an undergraduate textbook, “Introduction to Groups and Geometries.” According to the MathVista project website, “This free, online test is designed for a one-semester undergraduate mathematics course that combines an introduction to group theory with an introduction to modern geometries using the Kleinian paradigm.”

Dr. David Lyons, professor of mathematical sciences, gave two invited lectures for the Perry Lecture Series at Eastern Illinois University. The lectures, “Spooky Action: Scientific and Philosophical Challenges in the Era of Quantum Technology” and “Mathematical Symmetries in Quantum Information Science,” were given Oct. 31 and Nov. 1, respectively. The latter presentation was part of the university’s colloquium for math and science students and faculty.

Dr. David Lyons, professor of mathematical sciences, received a grant from the National Science Foundation (NSF) for “CQIS: RUI: Entanglement and Applications via Local and Permutational Symmetry earlier this month. The $175,000 grant is the fourth NSF grant received for the student-faculty research conducted by the Mathematical Physics Research Group (MPRG). Dr. Scott Walck, chair and professor of physics, co-directs MPRG and was co-principal investigator on the first three grants with Dr. Lyons.

Daniel J. Upchurch ’16 (physics), Mark A. Peters ’17 (actuarial science and mathematics double major), Nathaniel P. Gibbons ’18 (physics and mathematics double major), and Ezekiel W. Wertz ’18 (physics major, mathematics and computer & data science double minor) co-authored an article, Local Paul Stabilizers of Symmetric Hypergraph States, in the May issue of Journal of Physics A: Mathematical and Theoretical (Vol. 50, No. 24).

They co-authored the article with faculty mentors Dr. David Lyons, professor of mathematical sciences, and Dr. Scot Walck, chair and professor of physics. The paper, which focused on quantum information science, was largely the result of the students’ summer research projects with the LVC Mathematical Physics Research Group.