Portrait

 Lucian M. Ionescu

  Illinois State University
  Department of Mathematics
  Stevenson Hall 312J
  309-438-7167, LMIones"At"ilstu.edu

  Dr. Who? ... Ask Google ;)
Portfolio:
CV & more about LMI
Teaching Statement: Old & New
Research Statement: Old & New

          Research:
     Math                    Physics
(arXiv articles)         (Books etc.)       
News:
                       Work with Prof. Kontsevich and French quisine
  Presentations and Publications:
Bullet Conferences <2010, >=2010
 Publications: <2005  2005-2010   2010-present
 Grant Proposals
  STEM Corner:
      New Courses!    Math-Physics, Information & Technology Club  (project)
       Math, Science & Technology (Lab / Garage experiments :)
     
       ... and Center for Mathematics Science & Technology (see ISU SRA)
        2011  2012  2015   ...
  • Mat 345 - Advanced Calculus
  • Mat 347 - Advanced Real Analysis
  • Mat 349 - Introduction to Complex Analysis
  • Mat 389.60 - Introduction to Topology and Differential Geometry
  • Mat 389.61 - Introduction to Quantum Computing
  • Mat 400 - Independent study
    • Category Theory, Homological Algebra
    • Algebraic Number Theory, Algebraic Topology, Algebraic Geometry
    • Math-Physics (Feynman Diagrams, Zeta Functions & Periods) etc.
  • Mat 410 - Topics in Number Theory
  • Mat 411 - Topics in Mathematics
  • Mat 447 - Advanced Analysis I
  • ISU Summer Research Academy: 2011 The Music of Spheres , 2012 Resonance and Primes, 2015 NT & Cryptography, ...
  • ISU Mathematical-Physics Seminar (Organizer: L. Ionescu): 2010-present
  • ISU Algebra Seminar: 2005-2006, Fall 2006, Spring2007, 2007-2009,   2009-12 (link to Math Department),  Spring 2014, 
  • ISU (Older) Analysis and Mathematical-Physics Seminar: F01 & S 02  F02 & S 03 F03 & S 04 U04  Fall04               

  • IWU:      Mat 110 Finite Mathematics                 Mat 263 Calculus III               
  • UNCo - Math-Phys & Computer Science seminar:  Spring 2001

    •             Recent Presentations and Preprints (2010-> present)
                    (See also L. M. Ionescu Articles and Presentations list, if not included below)
    2010-2016
    - On the Arrow of Time (old, but new!)
    - Remarks on Physics as Number Theory, 2011
    - From Feynman amplitudes to the Qubit Model, 2016
    - The Finite String Theory Project, 2016
    - De Rham Cohomology of Finite Abelian Groups, Sept. 2016
    - Jacobi Sums and String Theory, Sept. 2016
    - Statistical Exploration of Riemann Zeros using CAGE
    - SAGE / CoCalc  Programs (2015-2016)
          - Algebraic Number Theory
            - Riemann Zeros
            - Miscellaneous: ...
    2017
    - Periods, Feynman Integrals and Jacobi Sums, 2017 Jan. 15
    - Math-Physics Discussions on BCFW Recursion   2017, May-Aug.?
    - Constructible numbers and periods, ISU Alg. Seminar, Beamer Presentation, Sept. 21, 2017
    - Periods, Quantization Functors and Multiple Zeta Functions, Sept., 2017
    - Octonions and Physics, ISU Alg. Seminar, Sept. 28, 2017
    - STEM Project: Standard Model and Category Theory, Fall 2017
    - MAT 349 Introduction to Complex Analysis (ads talk!), Wed. Oct. 18, 2017
    - On Prime Numbers and Riemann Zeros, JAAM, Vol. 2, No. 4, Oct. 2017

    2018
    - A study of p-adic Frobenius lifts and p-adic periods, APM Vol 8 No.4, pp.408-418, arXive: 1801.07570
    - Periods: Variation sur un theme de Kontsevich, IHES presentation, slides.
    - Periods: from Local to Global, IHES v.1, Jan. 2018.
    - Primes and Deformations, ISU Algebra Seminar talk, March 1, 2018.
    - On Scholarship and Dissemination: Open Access Journals vs. Traditional Publishing, March 2, 2018.
    - On Modeling Quark Flavor, joint work with Jackson Earl, ISU UG Research Symposium, April 2018.
    - A note on manifolds vs. networks as mathematical models in modern physics, May 2018;     http://vixra.org/abs/1912.0095
    - What is a muon anyways!?, July, 2018.
    - Periods: from Global to Local, ver.1, IHES notes, June 2018.
    - Periods, Feynman Integrals and Jacobi Sums, ver. 1, 2018 (after ISU talk 2017).
    - The Platonic Universe (and the ADE-Classification), ISU Algebra Seminar, 11/28.
    - On Finite Subgroups of SU(N) and Applications to Elementary Particle Physics, URG/SFF, Nov. 2018.

    2019
    - The Divisions Group Invariant and Galois Theory (On ADE and Belyi-Grothendieck), Math-Phys Seminar presentation, Google slides, 1/18/2019.
    - "e, pi, chi ... alpha?", article on Sir M. Atiyah's recent work and the fine structure constant, Feb., 2019.
    - "The Qubit Model: A Platonic and Exceptional Quantum Theory", (The Platonic Universe), article/pdf, Feb. 1, 2019.
    - "The Arithmetic of Galois Theory and Anabelian Geometry", ISU Alg. Seminar/Google slides, Feb. 13 & 20, 2019
    - "Applications of Platonic Solids in Sciences", joint work with Joshua Lacy, ISU UG Colloquium, pptx slide, April 2019.
    - "From Periods to Anabelian Geometry and Quantum Amplitudes, GP for IHES / pdf, June 2019.
    - IHES Summer School Proposal: Graphs on Surfaces and Applications, July 2019.
    - "Arithmetic Galois Theory" Google slides (long version); AGT short Beamer version, ISU Alg. Seminar, Sept. 26, 2019.

    2020
    - "On Teaching, Learning and AI", Jan. 2020.
    - "Teaching Mathematics with Technology", ISU CTLT Symposium, Jan.8 (pdf, pptx).
    - "Arithmetic Galois Theory", Google presentation at Joint Math. Meeting, Denver Jan.17, 2020; pdf/pptx.
       JMM - Arithmetic Galois Theory (Beamer ver.).
    - "On Galois Theory with an Invitation to Category Theory", Parts I & II, Alg. Seminar, Feb. 13 & 20; pdf
    - "A Tentative UFT including Gravity" - Essay for the Gravity Research Foundation Contest, April.
    - "What is a muon anyways: meson or lepton?", J. High Energy Gravity and Cosmology, Vol. 6, No.2, April 2020, pp 244-250.
    - "From Periods to Anabelian Geometry and Quantum Amplitudes", Advances in Pure Mathematics, Vol. 10, No.5, May 15, 2020, pp.229-244.
    - "Hodge Structures and Motives" (Google Slides), IHES online presentation, Nov.11, pdf.
    - "On Hodge Structures Part I: Algebraic aspects", IHES ver. Nov. 5.
    - "On Kontsevich Generalizations of Tian-Todorov Theorem and applications", IHES preprint, Nov.13.
    - "Classification of holomorphic functions as Polya vector fields via Differential Geometry", with G. Pripoae and C. Pripoae, draft ver. Nov. (available on request).
    -
    ...

    2021
    To be written:
    - On mass formulas and periods, TBA ~  2021
    - Quantizing the Qubit, TBA ~ Aug. 2021 (see also the Platonic Universe 2018)

    ...