Joshua Friedman PhD

Links

Research

Disclaimers

crowneagle@gmail.com

Research

Analytical number theory: Selberg trace formulas, Selberg zeta-functions, modular forms, Hecke operators, computational number theory; Fuchsian and Kleinian groups, arithmetic groups; Data Mining

Papers

  1. PhD thesis: The Selberg trace formula and Selberg zeta-function for confinite Kleinian Groups with finite-dimensional unitary representations. (math.NT/0612807)
  2. The Selberg trace formula and Selberg zeta-function for confinite Kleinian Groups with finite-dimensional unitary representations. Math. Z. Volume 250, Number 4 / August, 2005 (SpringerLink - Journal Article) [math/0410067]
  3. The regularized determinant of the Laplace operator for confinite Kleinian Groups with finite-dimensional unitary representations.  Communications in Mathematical Physics Volume 275, Number 3 / November, 2007 (math.NT/0605288)
  4. Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group. (Proceedings of the American Mathematical Society). (math.NT/0702030)
  5. The Selberg trace formula for Hecke operators on cocompact Kleinian groups (arXiv:0710.5787)
  6. An effective bound for the Huber constant for cofinite Fuchsian groups, with Jay Jorgenson and Jurg Kramer (arXiv:1003.1652) Published in Mathematics of Computation
  7. Uniform sup-norm bounds on average for cusp forms of higher weights, with Jay Jorgenson and Jurg Kramer (arXiv:1305.1348) To be submitted.

Current Math Courses

Calculus One and Two: Single variable calculus, differentiation, integration, infinite series.

Differential Equations: Ordinary diffEQs, Fourier series, Boundary value problems.

Probability and Statistics: Calculus and non-calculus based approaches.

Quantitative Methods: Operations research, linear programming, transportation problems, network problems.

Data Mining and Java Programming (currently in preparation).

Disclaimer

This website is a personal endeavor of Joshua S. Friedman. Though I am an employee of the United States Government, this webpage does not reflect their will or views in any way.

NOTICE OF LIABILITY
Joshua S. Friedman makes no representations about the suitability of the information contained in the documents and related graphics published on this Server for any purpose. All such documents and graphics are provided 'as is' without warranty of any kind. Joshua S. Friedman hereby disclaims all warranties and conditions with regard to this information, including all implied warranties and conditions of merchantibility, fitness for a particular purpose and non-infringement.
Joshua S. Friedman applies this Liability Notice to all the information linked to from this site. While we endeavour to maintain the good quality and high tone of the Hyperlinks to other Web servers, Joshua S. Friedman is expressly not responsible and does not endorse in any way the content, bearing, intent, opinion or other responsibility for any information or content held on alternative World Wide Web servers linked to. We make no representation regarding the content or accessibility to content that may or may not be suitable for viewing by minors or other persons. Please contact the individual webmaster regarding their content.
In no event shall Joshua S. Friedman be liable for any special, incidental or consequential damages or any damages whatsoever, including but not limited to, death, personal injury, damage, loss of use, loss of data, loss of revenues, loss of profit, or loss of prospective economic advantage, whether in an action of contract, negligence or other tortious action, arising out of the use or misuse of this Server or information, Server performance, documents or software herein, even if Joshua S. Friedman has been advised of the possibility of such damages, or for any claim by another party.
Joshua S. Friedman shall also not be liable for the presentation of information that is a violation or infringement of the rights of any person, firm or company (including but not limited to intellectual property rights).