Matt McBride's Homepage

Matt McBride, Department of Mathematics, University of Oklahoma

Matt McBride
University of Oklahoma
Department of Mathematics
PHSC 810
601 Elm Ave.
Norman, OK 73019

Hi, welcome to my website. My name is Matt. I am a visiting assistant professor at University of Oklahoma. Click here to see my see my CV.

To contact me...

The best way to get a hold of me is by email: mmcbride@math.ou.edu
I'm also in my office a lot (PHSC 810). The phone number there is: (405) 325 - 5074
And my official office hours are:
Tuesday/Thursday/Friday:12:00 - 1:00 pm

Teaching Schedule:

Courses from IUPUI:

Research:

I am interested in functional analysis and operator theory of unbounded operators, specifically spectral analysis and expansion theorems of said operators. Currently I am researching the Toda flow problem for Jacobi operators with Christian Remling. Kotani showed that certain types of Jacobi operators with certain potenitals come from finite gap spectra. Remling then later generalized this to classify them completely in the finte gap case. Now Christian and I would like to expand this result to the infinite gap setting and to see what classifications can be said. I am also researching the APS index problem for Dirac type operators in non-commutative spaces with Slawomir Klimek from IUPUI. The Atiyah-Patodi-Singer (APS) index problem, studies Dirac operators on closed manifolds with boundary. Since there is no known generic formula for Dirac operators in this set-up, we are studying d-bar and Dirac-type operators to different kinds of global boundary conditions, that are similar to APS boundary conditions, as the APS boundary condition does not always work for these operators on certain domains. For more details you can view my research statement here research statement. Below is a list of my publications with a corresponding link to each paper.

Publications:

Here is a list of my publications:
  • Estimates in the Generalized Morrey Spaces for Linear Parabolic Systems, arXiv:0811.3360
    • ( pdf)
  • D-bar operators in Quantum Domains (with S. Klimek), Math. Phys. Anal. Geom., 13, 357 - 390, 2010.
    • ( pdf)
  • A note on Dirac Operators on the Quantum Punctured Disk (with S. Klimek), SIGMA, 6, 56 - 68, 2010.
    • ( pdf)
  • Classical limit of the d-bar operator on quantum domains (with S. Klimek), Jour. Math. Phys., 52, 1 - 16, 2011.
    • ( pdf)
  • Global boundary conditions for a Dirac operator on the solid torus (with S. Klimek), Jour. Math. Phys., 52, 1 - 14, 2011.
    • ( pdf)
  • A Note on Gluing Dirac Type Operators on a Quantum Two-Sphere (with S. Klimek), SIGMA, 36, 1 - 15, 2014.
    • ( pdf)
  • The Marchenko Representation of Reflectionless Jacobi and Schrodinger Operators (with I. Hur and C. Remling), to appear in Trans. AMS arxiv:1401.7704
    • ( pdf)
  • A P-adic Spectral Triple (with S. Klimek and S. Rathnayake), to appear in Jour. Math. Phys.. arxiv:1403.7263
    • ( pdf)
  • The Quantum Pair of Pants (with S. Klimek, S. Rathnayake, and K. Sakai), to appear in SIGMA. arxiv:1410.0733
    • ( pdf)
  • A Value Region Problem for Stieltjes Type Continued Fractions (with S. Klimek, S. Rathnayake, and K. Sakai), submitted. arxiv:1312.6752
    • ( pdf)
  • Dirac type Operators on the Quantum Solid Torus (with S. Klimek), preprint
    		•
  • The m-Legged Pair of Quantum Pants, preprint
    		•


    Talks:

    Below are links to the slides from some of the talks I have given.

    University of North Texas PDE Conference 2014

    Oklahoma State University PDE Workshop 2013

    AMS Sectional Meeting at Washington University in St. Louis 2013

    Math Fest 2013

    Wabash Conference 2010

    Wabash Conference 2009

    Fun Things:

    Below you'll find links to phdcomics.com and various crossword websites such as indystar's daily online crossword and bestcrosswords.com. You'll also find the film-tech forum website which is dedicated to the operations of the theater industry and it also supports my passionate hobby for film.



    Indystar's Daily Crossword

    BestCrossword.com

    USA Today's Crossword

    Chicago Sun Times' Crossword

    Film-Tech Forum

    Pictures:

    Below here is a link to various pictures that I have.
    Matt's Pictures