| (2015) | 'A Reverse Hölder Inequality for Extremal Sobolev Functions' Tom Carroll and Jesse Ratzkin (2015) 'A Reverse Hölder Inequality for Extremal Sobolev Functions'. *Potential Analysis*, 42 (1):283-292 [DOI] [Details] |

| (2014) | 'The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements' Tom Carroll and Joaquim Ortega-Cerda (2014) 'The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements'. *The European Journal of Applied Mathematics*, 25 (5):531-551 [DOI] [Details] |

| (2012) | 'Two isoperimetric inequalities for the Sobolev constant' Tom Carroll and Jesse Ratzkin (2012) 'Two isoperimetric inequalities for the Sobolev constant'. *Zeitschrift Fur Angewandte Mathematik Und Physik*, 63 (5):855-863 [DOI] [Details] |

| (2012) | 'On Lundh's percolation diffusion' Tom Carroll, Julie O'Donovan and Joaquim Ortega-Cerdà (2012) 'On Lundh's percolation diffusion'. *Stochastic Processes and Their Applications*, [DOI] [Details] |

| (2011) | 'Interpolating between torsional rigidity and principal frequency' Tom Carroll and Jesse Ratzkin; (2011) 'Interpolating between torsional rigidity and principal frequency'. *Journal of Mathematical Analysis and Applications*, 379 (2):818-826 [DOI] [Details] |

| (2011) | 'The maximal expected lifetime of Brownian motion' Rodrigo Banuelos and Tom Carroll; (2011) 'The maximal expected lifetime of Brownian motion'. *Mathematical Proceedings of the Royal Irish Academy*, 111A (1):1-11 [DOI] [Details] |

| (2010) | 'Stretching convex domains and the hyperbolic metric' Rodrigo Banuelos, Tom Carroll; (2010) 'Stretching convex domains and the hyperbolic metric'. *Quarterly Jnl. Mathematics*, 61 (3):265-273 [DOI] [Details] |

| (2009) | 'Hardy inequality and Lp estimates for the torsion function' M. van den Berg, Tom Carroll; (2009) 'Hardy inequality and Lp estimates for the torsion function'. *Bulletin of the London Mathematical Society*, 41 (6):980-986 [DOI] [Details] |

| (2009) | 'The univalent Bloch-Landau constant, harmonic symmetry and conformal glueing' Tom Carroll, Joaquim Ortega-Cerda; (2009) 'The univalent Bloch-Landau constant, harmonic symmetry and conformal glueing'. *Journal de Mathematiques Pures et Appliquees*, 92 (4):396-406 [DOI] [Details] |

| (2008) | 'An extension of Jenkins' condition for extremal domains associated with the univalent Bloch-Landau constant' Carroll, Tom; (2008) 'An extension of Jenkins' condition for extremal domains associated with the univalent Bloch-Landau constant'. *Computational Methods and Function Theory*, 8 (1-2):159-165 [Details] |

| (2008) | 'Lipschitz continuity of the Green function in Denjoy domains' Carroll, Tom and Gardiner, Stephen J; (2008) 'Lipschitz continuity of the Green function in Denjoy domains'. *Arkiv för matematik*, 46 (2):271-283 [Details] |

| (2007) | 'Configurations of balls in Euclidean space that Brownian motion cannot avoid' Carroll Tom, Ortega-Cerda Joaquim; (2007) 'Configurations of balls in Euclidean space that Brownian motion cannot avoid'. *Annales Academiæ Scientiarum Fennicæ*, 32 (1):223-234 [Details] |

| (2005) | 'Sharp integrability for Brownian motion in parabola-shaped regions' Carroll Tom Banuelos R; (2005) 'Sharp integrability for Brownian motion in parabola-shaped regions'. *Journal of Functional Analysis*, 218 (1):219-253 [Details] |

| (2004) | 'Conformal mapping of parabola-shaped domains' Carroll Tom Hayman W.K.; (2004) 'Conformal mapping of parabola-shaped domains'. *Computational Methods and Function Theory*, 4 (1):111-126 [Details] |

| (2002) | 'Hermite polynomials and Brownian motion' Carroll Tom; (2002) 'Hermite polynomials and Brownian motion'. *The Mathematical Scientist*, 27 (2):91-101 [Details] |

| (2002) | 'Boundary behaviour of positive harmonic functions on Lipschitz domains' Carroll, Tom; (2002) 'Boundary behaviour of positive harmonic functions on Lipschitz domains'. *Annales Academiæ Scientiarum Fennicæ*, 27 (no. 1):231-236 [Details] |

| (2002) | 'Torsional rigidity and expected lifetime of Brownian motion' Bañuelos, Rodrigo; van den Berg, M.; Carroll, Tom J. London Math. Soc.; (2002) 'Torsional rigidity and expected lifetime of Brownian motion'. *Journal of The London Mathematical Society*, 66 (no. 2):499-512 [Details] |

| (2001) | 'Old and new on the bass note, the torsion function and the hyperbolic metric' Carroll, Tom; (2001) 'Old and new on the bass note, the torsion function and the hyperbolic metric'. *Irish Mathematical Society Bulletinetin*, 47 (*):41-65 [Details] |

| (2001) | 'On the Bieberbach and Koebe constants of a simply connected domain' Carroll Tom Rugeihyamu Sylvester; (2001) 'On the Bieberbach and Koebe constants of a simply connected domain'. *Complex Variables. Theory and Application*, 46 (1):31-49 [Details] |

| (2000) | 'Extremal problems for conditioned Brownian motion and the hyperbolic metric' Carroll Tom Banuelos R; (2000) 'Extremal problems for conditioned Brownian motion and the hyperbolic metric'. *Annales de l'Institut Fourier Univ. Grenoble*, 50 (5):1507-1532 [Details] |

| (1998) | 'Inradius and integral means for Green's functions and conformal mappings' Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth; (1998) 'Inradius and integral means for Green's functions and conformal mappings'. *Proceedings of the American Mathematical Society*, 126 (no. 2):577-585 [Details] |

| (1997) | 'Conformal mappings of close-to-convex domains' Carroll, Tom and Twomey, J. B.: ; (1997) 'Conformal mappings of close-to-convex domains'. *Journal of The London Mathematical Society-Second Series*, 55 (3):489-498 [Details] |

| (1994) | 'Brownian motion and the fundamental frequency of a drum' Bañuelos, Rodrigo and Carroll, Tom: ; (1994) 'Brownian motion and the fundamental frequency of a drum'. *Duke Mathematical Journal*, 82 (1):87-87 [Details] |

| (1993) | 'Conditioned Brownian motion and hyperbolic geodesics in simply connected domains' Bañuelos, Rodrigo and Carroll, Tom; (1993) 'Conditioned Brownian motion and hyperbolic geodesics in simply connected domains'. *The Michigan Mathematical Journal*, 40 (2):321-332 [Details] |

| (1991) | 'Compact composition operators not in the Schatten classes' Carroll, Tom; Cowen, Carl C.; (1991) 'Compact composition operators not in the Schatten classes'. *Journal of Operator Theory*, 26 (no. 1):109-120 [Details] |

| (1990) | 'A monotone slit mapping with large logarithmic derivative' Carroll, Tom.; (1990) 'A monotone slit mapping with large logarithmic derivative'. *Michigan Mathematical Journal*, 37 (no. 3):409-426 [Details] |

| (1988) | 'A classical proof of Burdzy's theorem on the angular derivative' Carroll, Tom (1988) 'A classical proof of Burdzy's theorem on the angular derivative'. *Journal of The London Mathematical Society*, 38 (3):423-441 [Details] |