Dr. Lucian Ionescu
- About
- Education
- Awards & Honors
- Research
Biography
With a thorough expertise in computer science and software design, my research is application-oriented in mathematical-physics. I teach at Il. St.U, was visiting professor at Wesleyan U. and several times visitor at the Institute des Hautes Etudes Scientifique, Paris, France.
Current Courses
236.001Elementary Abstract Algebra
320.001History Of Mathematics
120.003Finite Mathematics
320.001History Of Mathematics
400.004Independent Study
330.001Number Theory
490.005Research In Mathematics, Math Ed & Applied Mathematics
324.001Seminars For Student Teachers Of Mathematics
Teaching Interests & Areas
Topology and differential geometry, abstract algebra, calculus, quantum computing, differential equations, number theory ...
Research Interests & Areas
Applications of mathematics (homological algebra methods and deformation theory) to quantum physics and quantum computing ... it's just a different kind of Calculus, where discrete changes are modeled as processes: Quantum Information Dynamics. An example desk-top application? Quantum Optics! (For more info see My Books ) My current research, as of 2010 or so, is in Number Theory as the Ultimate Physics Theory.
Ph D Category Theory and Homological Algebra
MS Mathematical-Physics
Other
MS Operator Theory
BS Mathematics
Other Computer Science
ISU Award for Department's 2004 Pre-tenure Outstanding Research
KSU Award for Outstanding Graduate Student in Academics
ISU Research Initiative Award
Abstract
My Research integrates Mathematics, Physics and Computer Science, in sync with the current emphasis on STEM (see my STEM Corner, e.g.), and Information Theory in particular (Classical and Quantum).
1) In Pure Mathematics I investigate the duality between Prime Numbers and Riemann Zeros, as a foundational work for further our understanding of the foundations to many aspects in Algebra, Geometry and Physics. In particular Topics of Advanced Number Theory and Galois Theory are involved in this research;
2) This targets Physics, aiming to sketch the Finite String Theory, a more tractable take on the highly acclaimed Theory of Everything the interaction between algebraic numbers and periods, Anabelian Geometry and Theory of Motives (IHES presentation 2018) are also involved;
3) But the real candidate for a Unified Theory is its double or complexification (according to Arnold), where from the Newtonian point; S0, later replaced by the string S1 we go all the way to the 3D-pixel of Space-Time (Smolin), using the Hopf fibration S3, as the local model and the unit of quantum information, called qubit (quark). The above research is in an advanced stage towards modeling the Universe based on Information Theory, finite Platonic groups of symmetry leading to the exceptional Lie algebras E6, E7 and E8, in close connection with the theory of Quark Line Diagrams of the Standard Model in Physics (with help from STEM assistant Joshua Lacy).
... and I can help sharing this exciting research with my students! In order to generalize this, we need to uplift the Mathematical Interface using Technology as a powerful platform. For additional information see my ISU website. Updated: I.H.E.S. Oct. 13, 2020.
For the actual publications and presentations, visit my website www.ilstu.edu/~lmiones