Nadia Mazza's Home Page

Nadia Mazza
Department of Mathematics and Statistics
Lancaster University
Lancaster, LA1 4YF

Office : B6a
Tel : +44(0)1524-593961
Email : please, see here.

Teaching Lent 2012

Short bio

In June 2010, together with Jon Carlson, Radu Stancu and Donna Testerman, we organised the conference Group Representation Theory and Related Topics in Lausanne. It was on honour of the 60th birthday of Prof. Jacques Thévenaz. In addition, please find here the handout version of my oral contribution to the conference.
At the end of this meeting, two short-courses for the Doctoral School of the EPFL took place, and I had the pleasure to give one of them. The lecture notes are available in pdf and in dvi.

Here is my Curriculum Vitae, for more details about my professional experience.

Publications

• The Dade group of a metacyclic p-group, Journal of Algebra, 266 (2003) 102--111. (dvi, pdf)
• Endo-permutation modules as sources of simple modules, Journal of Group Theory, 6 (2003) 477-497. (dvi, pdf)
• The Dade group of (almost) extraspecial p-groups, Journal of Pure and Applied Algebra, 192 (2004), 21-51. (with S. Bouc, Amiens, France, dvi, pdf)
• Varieties of Nilpotent Elements for Simple Lie Algebras, J. Algebra, 280 (2004) 719-737. (with the University of Georgia VIGRE Algebra Group, Athens, GA, USA, dvi, pdf)
• Varieties of Nilpotent Elements for Simple Lie Algebras II. Bad primes, J. Algebra 292, no. 1 (2005), 65-99. (with the University of Georgia VIGRE Algebra Group, Athens, GA, USA, dvi, pdf)
• Endotrivial modules for finite groups of Lie type, J. Reine Angew. Math., 595 (2006) 93-120. (with J. Carlson and D. Nakano, Athens, GA, USA, dvi, pdf)
• Support varieties for Weyl modules over bad primes, J. Algebra, 312, Issue 2 (2007), 602--633. (with the University of Georgia VIGRE Algebra Group, Athens, GA, USA, dvi, pdf)
• The group of endotrivial modules in the normal case, J. Pure Appl. Algebra, 209 (2007), 311--323. (dvi, pdf)
• Endotrivial modules in the cyclic case, Archiv der Mathematik, 89, Issue 6 (2007), 497--503. (with J. Thévenaz, Lausanne, Switzerland, dvi, pdf)
• Endotrivial modules for the symmetric and alternating groups, Proc. Edinburgh Math. Soc., 52, Issue 1 (2009), 45--66. (with J. Carlson and D. Nakano, Athens, GA, USA, dvi, pdf)
• The Dade group of a fusion system, J. Group Theory, 12 (2009), 55--74. (with M. Linckelmann, dvi, pdf, or beamer presentation (pdf) of the talk given at the MSRI, March 2008)
• Connected components of the category of elementary abelian $p$-subgroups, J. Algebra, 320, Issue 12 (2008), 42--48. (dvi, pdf)
• Glauberman and Thompson's theorems for fusion systems, Proc. Amer. Math. Soc., 137, Issue 2 (2009), 495--503. (with A. Díaz, A. Glesser and S. Park, dvi, pdf)
• The group of endotrivial modules for the symmetric and alternating groups, Proc. Edinburgh Math. Soc., Volume 53, Issue 01, 2010, 83--95. (with J. Carlson and D. Hemmer, dvi, pdf) Control of transfer and weak closure in fusion systems, J. Algebra, 323, Issue 2 (2010), 382--392. (with A. Díaz, A. Glesser and S. Park, dvi, pdf)
• On Oliver's p-group conjecture: II, Math. Ann., 347, Number 1 (2010), 111-122. (with D. Green and L. Héthelyi, dvi, pdf)
• $p$-groups with maximal elementary abelian subgroups of rank $2$, J. Algebra, 323, Issue 6 (2010), 1729-1737. (with G. Glauberman, dvi, pdf)
• Endotrivial modules for $p$-solvable groups, Trans. Amer. Math. Soc., 363 (2011), 4979-4996. (with J. Carlson and J. Thévenaz, dvi, pdf)
• On a strong form of Oliver's p-group conjecture, J. Algebra, to appear. (with D. Green and L. Héthelyi, dvi, pdf)
• Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup, Journal of the European Mathematical Society, to appear. (with J. Carlson and J. Thévenaz, dvi, pdf)
• Auslander-Reiten components for some Knörr lattices, submitted. (with M. Geline)

  And, of course, my PhD thesis : Modules d'endo-permutation (in French).

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  Here are a few maths links:
  
  • Looking for a reference? Mathscinet has maybe an answer.
  • Love Groups, Representations and Cohomology? Then click here.
  • Other broad source of maths papers: arXiv ?
  • Don't forget NUMDAM !
  • A good source for maths references (at all levels) is the celebrated Mathworld, courtesy of Wolfram.
  • Algebra on with a computer? How? See MAGMA, or GAP.
  • You may also take a math-break with a Mathematical Moment, with the compliments of the American Mathematical Society.
  • A few journals focusing on mathematics: Notices (of the AMS), Pi in the Sky (of the PIMS), and Plus Magazine.

  Some maths societies:

  • AMS, alias the American Mathematical Society.
  • IMA, alias the Institute of Mathematics and its Applications.
  • LMS, alias the London Mathematical Society.
  • MFO, alias the Mathematisches Forschung Institut.
  • MSRI, alias the Mathematical Sciences Research Institute.
  • PIMS, alias the Pacific Institute for the Mathematical Sciences.
  • SNF, alias the Swiss National Science Foundation.
  There are several research networks in the UK which promote algebra. In particular, ARTIN, alias Algebra and Representation Theory In the North, and BLOC, alias Bristol Leicester Oxford Colloquium.

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  Here're further links:
  • Problems with LateX?
  • Have a Mac? Then check the Fink project and Mac OS Forge.
  • Prefer Linux operating system? Have you tried Ubuntu?
  • Looking for (text-)books? Check abebooks.co.uk, or visit the corresponding website of another country.
  • Ethical behaviour and consuming in the UK. See also Defra, the Department for Environment, Food and Rural Affairs.
  • From sea to mountain weather forecast.
  • A link that might be useful, however, to handle with care: Wikipedia.
  • Conversion of units here or here. Conversion of currencies here.
  • ...

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  Last updated: 2/2012

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