Erin McNicholas: Research Interests

Table of Contents

1. Random Graphs & Random Matrices
   • Papers
   • Presentations
2. Cryptography & Coding
   • Papers
   • Presentations
   • Conferences
3. Biomedical Imaging Systems
   • Papers

Papers

• Dissertation Summary (6/30/06)
• Orals Paper

Presentations

• Embedded Tree Structures of Genus Zero One-Face Maps

  • Portland Area Lecture Series, Portland State University, February 13, 2007

   

• Embedded Tree Structures and Eigenvalue Statistics of Genus Zero One-Face Maps

  • Applied Mathematics Seminar, Ohio State University, Columbus Ohio January 25, 2007

   

• From Primes to Riemann to Random Matrices and Graph Theory

  • Mathematics Colloquium, Willamette University,  November 2006

   

• Embedded Tree Structures

  • Analysis and Its Applications Seminar, University of Arizona, May 2006

   

• The Many Representations of a Genus Zero Map Having One Face

  • Applied Graduate Colloquium, Department of Mathematics, University of Arizona, October 2005

   

• Eigenvale Statistics of Random One-Face Maps

  • Analysis and Its Applications Seminar, University of Arizona, April 5, 2005

   

• Universality of the Eigenvalue Distributions of Random Matrix Theory

  • Undergraduate Research Seminar Talk, University of Arizona, February 7th & 14th 2005

   

• Universality of the Eigenvalue Distributions of Random Matrices

  • Los Alamos Days Conference, January 28th, 2005

   

• Ramanujan Graphs and the Cayley Construction

  • Applied Graduate Colloquium, University of Arizona, Dept. of Mathematics, April 16th 2004

   

• Ramanujan Graphs: Random Matrix Models

  • Crypto Meeting, Sandia National Laboratory July 2004

Papers

• An Introduction to Hyperelliptic Curve Cryptosystems Based on the Discrete Log Problem

Presentations

• Elliptic Curve and Hyperelliptic Curve Cryptography

  • Graduate Colloquium, University of Arizona, Dept. of Mathematics (Fall 2004)

   

• Elliptic Curves: for the Pure and Impure at Heart (Point Multiplication and Factoring) 

  • Graduate Colloquium, University of Arizona, Dept. of Mathematics (Fall 2003)

   

• Counting MDS Codes

  • Crypto Meeting, Sandia National Laboratory (Summer 2003)

   

• Obfuscation

  • Crypto Meeting, Sandia National Laboratory (Summer 2003)

   

• Cryptography Goes Public: An Introduction to Public Key Cryptography

  • SIP August 2002 Symposium, Sandia National Laboratory (Summer 2002)

Conferences

• Oberwolfach Seminar on Arithmetic Geometry & Public Key Cryptography
  • Organized by Tanja Lange & Gerhard Frey, November 7th - 13th 2004

Papers

• Dynamic Susceptibility Contrast (DSC) MRI