Benjamin McKay

School of Mathematical Sciences
Information Technology Building
Room G-39
University College Cork
Cork, Ireland

b.mckay{at.pay.no.attention.to.this.part)ucc.ie

Curriculum Vitae

Telephone	353 21 420 5838
Fax	353 21 427 0813
Secretary	353 21 490 2542

Teaching

Autumn

• Calculus
  • Problems
  • Syllabus
  • New exam format: ask Tom Carroll
• Linear Algebra I
  • Tutorials Wednesdays 11am AL 1
  • Lecture notes
  • Syllabus
  • Same exam format as last year.
• Linear Algebra II
  • Lecture notes
  • Syllabus
  • New exam format: 7 questions of equal value, do all 7.

Research

• Papers

  • Dual curves and pseudoholomorphic curves , Selecta Mathematica N.S., 9 (2003), pp. 251-311, math.DG/0101017
  • Duality and Integrable Systems of Pseudoholomorphic Curves, Ph.D. thesis, Duke University, 1999
  • Analogues of complex geometry, to appear in Journal of the London Mathematical Society , math.DG/0107073
  • The Blaschke conjecture and great circle fibrations of spheres , American Journal of Mathematics, vol. 126, no. 5, October 2004, pp. 1151-1191, math.DG/0112027
  • An Analytical Study of Heat Transfer in Finite Tissue With Two Blood Vessels and Uniform Dirichlet Boundary Conditions, Journal of Heat Transfer, February 2005, vol. 127, no. 2, pp. 179-188
  • G₂ manifolds of cohomogeneity two, math.DG/0311441
  • Almost complex rigidity of the complex projective plane, Proceedings of the American Mathematical Society, 135 (2007) 597-603, math.SG/0403155
  • Lagrangian manifolds in affine symplectic geometry, Differential Geometry and Its Applications, Volume 24, Issue 6, December 2006, 670-689 math.DG/0508118
  • Sussmann's orbit theorem and maps, Differential Geometry and Its Applications, Volume 25, Issue 3, June 2007, 277-280 math.DG/0508121
  • Complete complex parabolic geometries, International Mathematics Research Notices, vol. 2006, Article ID 86937, 2006, math.DG/0409559
  • Smooth projective planes, Geometriae Dedicata, 116 (1), December 2005, 157-202, math.DG/0412500
  • Complete projective connections, math.DG/0504082
  • Rational curves and ordinary differential equations, math.DG/0507087
  • Surfaces with flat normal bundle in space forms
  • Rational curves and parabolic geometries, math.DG/0603276
  • Complex nonlinear ordinary differential equations and geometry
  • Characteristic forms of complex Cartan geometries, math.DG/0704.2555
  • Complete Cartan connections, math.DG/0802.1473
  • Extension phenomena for holomorphic geometric structures, math.DG/0812.2353
  • Holomorphic parabolic geometries and Calabi-Yau manifolds, math.DG/0812.1749
  • Holomorphic Cartan geometries and Calabi-Yau manifolds, math.AG/0812.3978
  • Holomorphic Cartan geometries, Calabi-Yau manifolds and rational curves
  • Locally homogeneous geometric structures on Hopf surfaces

• Talks

  • The characteristic variety
    Thoughts on chapter 5 of the book Exterior Differential Systems
  • Generalized Cauchy-Riemann equations
    Thesis defence, in postscript
  • Periodic geodesics
    Undergrad colloquium. The typing was done by character recognition software from my rough handwritten notes, and I have no TeX file, so there are lots of typos.
  • Geometry of ordinary differential equations
    Graduate colloquium
  • Painleve transcendents
    Graduate colloquium (a few errors in the postscript file)
  • Integral geometry
    Graduate colloquium
  • G₂ manifolds
    Notes from lectures of Robert Bryant
  • Path integrals in quantum mechanics
    From the University of Utah QFT seminar
  • Basic general relativity
    From the University of Utah QFT seminar
  • The Blaschke conjecture (seminar)
    From the University of Utah Differential Geometry seminar
  • Pseudoholomorphic twistor theory on 4-manifolds
    Northeastern Univ AMS Meeting, October 2002
  • Biological signals: listening to people without cutting them open
    Colloquium, University of Florida Math Dept
  • The Blaschke conjecture page
    Colloquium, University of South Florida Tampa
  • Complex conformal geometry
    Colloquium at Texas A&M
  • Complex conformal geometry handout
  • The Cartan-Kaehler theorem
    Geometry seminar at UCC
  • The Cartan-Kaehler theorem handout
  • Smooth projective planes talk
    Colloquium at Maynooth and UCC
  • Smooth projective planes handout
  • Geometry Seminar at ESI & University of Vienna
  • Multi-Rate Processes and Hysteresis 2006
  • Rational Curves and ODE
    Trinity College Dublin Colloquium
  • Smooth projective planes and symplectic topology
    Geometry Workshop, Keio University, Yokohama
  • Parabolic geometries and rational curves
    Colloquium, Korean Institute for Advanced Study, Seoul
  • Parabolic geometries and rational curves handout
  • St. Brendan's College
  • St. Brendan's College handout