I'm a real analyst with a particular interest in geometric measure theory and fractals.
Points of middle density in the real line (2012)
Csörnyei, Marianna; Grahl, Jack and O'Neil, Toby C.
Real Analysis Exchange, 37(2) (pp. 243-248)
Universal singular sets in the calculus of variations (2008-12)
Csörnyei, Marianna; Kirchheim, Bernd; O'Neil, Toby; Preiss, David and Winter, Steffen
Archive for Rational Mechanics and Analysis, 190(3) (pp. 371-424)
The Hausdorff dimension of the visible sets of planar continua (2007-11)
Transactions of the American Mathematical Society, 359(11) (pp. 5141-5170)
The Dimension of visible sets (2004-06)
Real Analysis Exchange, 30(1) (p 412)
Visible parts and dimensions (2003-05)
Järvenpää, Esa; Järvenpää, Maarit; MacManus, Paul and O'Neil, Toby C.
Nonlinearity, 16(3) (pp. 803-818)
The composition of two derivatives has a fixed point (2001-02)
Csörnyei, Marianna; O'Neil, Toby and Preiss, David
Real Analysis Exchange, 26(2) (pp. 749-760)
N-fold sums of Cantor sets (2000)
Hare, Kathryn and O'Neil, Toby
Mathematika, 47(1-2) (pp. 243-250)
Measuring anistropy in planar sets (2018-06-30)
O'Neil, Toby C.
In : Summer Symposium in Real Analysis XLI (18-24 Jun 2017, Wooster College, Ohio, USA)