Research Interests

my Publications/ Errata

my Seminar Slides

other Handouts

Open Problems

video

G. Eric Moorhouse:

Seminar Slides

Projective Planes

  1. Finite Projective Planes, Michigan Technological University
  2. Embedding Finite Partial Linear Spaces in Finite Projective Planes. RMAC Seminar, CSU, 17 Sept 2004
  3. On the Complexity of Embedding Configurations in Finite Planes, 19 May 2012
  4. Construction of Some New Projective Planes
  5. Finite Projective Planes and their Substructures, RMAC Seminar, CSU, 10 Sept 2010
  6. Open Problems Concerning Automorphism Groups of Projective Planes, BIRS, 25 April 2011. One of these problems was subsequently solved by Pentilla and myself (see the next item)
  7. Automorphism Groups of Projective Planes with Arbitrarily Many Point and Line Orbits, RMAC Seminar, CSU, 14 Sept 2012

Ovoids

  1. Ovoids over Z/mZ. RMAC Seminar, CSU, 26 Sept 2008
  2. Counting Ovoids in the Triality Quadric, RMAC Seminar, CSU, 12 April 2013
  3. Octonionic Ovoids, Third Mile High Conference, 15 Aug 2013

Nets and Webs

  1. p-Ranks of Nets
    Derives the p-rank of a 3-net in terms of the left-multiplication group of the corresponding loop.
  2. Quasigroup Cohomology and p-Ranks of Nets, 3 Mar 2000.
    More details from preceding talk, including proofs and cohomological interpretation
  3. Planes, Nets and Webs, 2005
  4. Ranks of Webs and Nets, 31 Oct 2004

Geometry

  1. Good Packings, Memorial University of Newfoundland, Fall 2001
  2. Approaching Some Problems in Finite Geometry Through Algebraic Geometry. RICAM, Linz, Austria, 5 May 2006
  3. The Maslov Index and Covers of Symplectic Dual Polar Graphs, RMAC Seminar, CSU, 17 Feb 2017
  4. Semifinite Generalized Quadrangles, RMAC Seminar, CSU, 10 Oct 2014
  5. Partial Spreads and Flocks over Infinite Fields, Normfest, 2009
  6. Finite Geometry Lectures, Zhejiang University, China, March 2019
    1. Planes, Nets and Webs
    2. Planes and their Substructures
    3. Geometry Beyond the Finite
    4. Ovoids and Spreads
    5. p-Ranks

Algebra

  1. The LLL Algorithm for Lattices. RMAC Seminar, CSU, 23 Feb 2001
  2. Transfer Matrix Method. UW Seminar.
    Includes the generating function for the p-rank of points versus k-spaces of PG(n,q). This gives the same answer as Hamada's formula but is much more computationally efficient.
  3. The 2-transitive Complex Hadamard Matrices, 26 Sept 1997
  4. Deflation in Coxeter Groups, RMAC Seminar, CSU

Graph Theory/Combinatorics

  1. Two-graphs and skew two-graphs. RMAC Seminar at CSU, Nov 18, 1994
  2. Colouring the Plane, Ebertfest, Delaware, 2010
  3. The Alon-Tarsi Conjecture, RMAC Seminar, CSU, 5 Dec 2008
  4. Two-graphs and finite geometries, Knoxville, 22 Mar 2014
  5. Some Remarks on Isomorphism Testing, RMAC Seminar, CSU, 6 March 2015
  6. Double Covers, Hangzhou, 26 Nov 2017. A shorter version was presented at the Prairie Discrete Math Workshop, 4 June 2017
  7. Cut Distance and Graphons, ACNT Seminar, UW, 2 April 2019

Logic/Set Theory/Topology

  1. What Can Logic Do For You? University of Denver, 6 April 2012
  2. Knots. UW, Spring 2006
  3. Using the Borsuk-Ulam Theorem, a survey of Jiri Matoušek's book by this title. 27 Jan 2006

Quantum Information and Computation

  1. Quantum Information and Computation. San Diego, Fall 2002.
  2. UW Math/Physics Seminar on Quantum Information and Computation, Fall 2000
    1. Computational Complexity using Deterministic, Randomized and Quantum Computers. UW Seminar, 4 Oct 2000.
    2. Shor's Algorithm for Factorising Large Intergers. UW, 7 Nov 2000
    3. Public Key Cryptography. UW, 14 Nov 2000
    4. Error-Correcting Codes. UW, 28 Nov 2000
    5. Quantum Codes. UW, 4 Dec 2000
  3. The Kochen-Specker Theorem, UW, Feb 2017

 Under Construction


/ revised March, 2017