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Research interests: Geometry, algebra and combinatorics and their applications, including the theory of error-correcting codes and cryptology. |
Other academic interests:
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Theoretical computer science, mathematical physics and bioinformatics.
I am a professor in the Department of Mathematics at CSU.
I moved here from the University of Western Australia in late December, 2006.
Teaching
Fall 2009
M466 Abstract Algebra I Office hours 12 MW Lectures 10MWF
M676 Topics in Mathematics Section 4 : Reflection groups, Lie algebras and Lie groups Lectures 11MWF
Students:
Luke Bayens who's working towards a Ph. D. with me on problems in finite geometry, including those about groups of hyperovals, flag-transitive Laguerre planes and hemisystems of Hermitian varieties.
Cayla McBee who's working towards a Ph. D. with me on phylogenetic combinatorics.
Elizabeth Scott-Janda who's working towards a Ph. D. with me on groups of generalized quadrangles. Elizabeth was formerly Bob Liebler's student.
I am always looking for graduate students.
Of my former students listed below, Rebecca Gower, Katrina Hicks, Nick Gill and Ranga Muhandiramge completed doctorates in Queensland, Oxford, Cambridge and Western Australia, and Nicholas Hamilton, Ivano Pinneri, Tim Boykett, Blair Williams, Maska Law, John Bamberg, Rebecca Gower and Nick Gill had postdoctoral positions in Gent(Belgium), Rome(Italy), Linz(Austria), London(England), Rome(Italy), Gent(Belgium), Oxford(England) and Bristol(England) respectively.
Shane Kelly has recently completed a Masters in algebraic geometry in France (and Italy), and is now working towards a doctorate at ANU, Canberra. My former students, Nicholas Hamilton and John Bamberg, won the Kirkman medal of the Institute of Combinatorics and its Applications, as did my research associate, Matthew Brown. In 1996, I won the Hall medal of the Institute of Combinatorics and its Applications for my research.
Former Students:
Ph. D.
John Bamberg (jointly supervised with Cheryl Praeger) Thesis : Innately transitive groups (2003)UWA
Maska Law Thesis : Flocks, generalised quadrangles and translation planes from BLT-sets (2003)UWA
Blair Williams Thesis : Ovoids of hyperbolic and parabolic spaces (1998)UWA
Tim Boykett
(jointly supervised with Gunter Pilz, Johannes Kepler Universitaet, Linz, Austria)
Thesis : Algebraic aspects of reversible computation (1996)UWA
Ivano Pinneri Thesis : Flocks, generalised quadrangles and hyperovals (1996)UWA
Nicholas Hamilton Thesis : Maximal arcs in finite projective planes and associated structures in projective spaces (1995)UWA
Masters
Andrew Hudson Thesis : A class of translation planes (2009)CSU
Eric Nelson Thesis : Two-intersection sets with respect to hyperplanes in projective spaces (2008)CSU
Honours
Luke Bayens Thesis : Hyperovals and their groups (2006)UWA
Shane Kelly(jointly supervised with Michael Giudici).
Thesis : Tight sets and m-ovoids in polar spaces (2005)UWA
Ranga Muhandiramge (jointly supervised with Jingbo Wang)
Thesis : Spin Adapted Configuration Interaction Study of N-electron Quantum Dots (2003)UWA
Danijela Cvoro Thesis : Poincare's theorem for compact polygons(2000)UWA
Nick Gill Thesis : Galois theory and orthogonal geometry(1998)UWA
Maska Law
Thesis : The Klein correspondence (1997) UWA
Kenneth Phillips Thesis : Ovals, conics and Segre's theorem(1997)UWA
Nicholas Hamilton Thesis : Group representation theory and applications to quantum mechanics (1991)UWA
Ivano Pinneri Thesis : Propositional calculus of quantum mechanics (1990)UWA
Katrina Hicks (jointly supervised with Michael Alder) Thesis : Automata (1990)UWA
Rebecca Gower Thesis : Finite Generalized Quadrangles (1989)UWA
Honorary students
Michel Lavrauw, Eindhoven, Netherlands (2001)
Elisabeth Kuijken, Gent, Belgium (2002)
Rocco Trombetti, Napoli, Italy (2002)
Research associates:
Cheryl Praeger Australian Research Council
Australian Professorial Fellow (2007-11)
Michael Giudici Australian Research Council
Australian Research Fellow (2007-11)
John Bamberg Australian Research Council
Australian Postdoctoral Fellow (2004-6)
Matthew Brown
Australian Research Council Senior Research Associate (2003-5)
Australian Research Council Research Associate (1998-9)
Keith Martin Australian Research Council Research Associate (1992-6)
Recent Grants
Australian Research Council Discovery Project DP0342520 (with Susan Barwick, Catherine Quinn)
Characterizing and classifying ovoids, flocks and generalized quadrangles,2003-2005:Au$210,000
Australian Research Council Discovery Project DP0450695(with John Bamberg)
Applications of group theory to finite geometry,2004-2006:Au$202,486
Australian Research Council Discovery Project DP0770915
(with Cheryl Praeger, Michael Giudici, Cai Heng Li)
Finite permutation groups and flag-transitive incidence structures, 2007-2011:
Au$999,354
Email: penttila@math.colostate.edu
Prof. Tim Penttila
Department of Mathematics
Colorado State University
Fort Collins, CO 80523-1874
Phone: +1(970) 491-6695
Fax: +1(970) 491-2161
Author : Tim Penttila