Matthias Franz

Assistant professor

Office hours: TBA

E-mail: mfranz@uwo.ca

Phone: (1) 519-661-2111 ext. 86538

Fax: (1) 519-661-3610

Address: Department of Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada

Teaching

all semesters

Publications

• (with Christopher Allday and Volker Puppe) Equivariant cohomology, syzygies and orbit structure, to appear in Trans. Amer. Math. Soc., arXiv:1111.0957
• (with Anthony Bahri and Nigel Ray) Weighted projective spaces and iterated Thom spaces, to appear in Osaka J. Math., arXiv:1109.2359
• (with Anthony Bahri, Dietrich Notbohm and Nigel Ray) The classification of weighted projective spaces, Fund. Math. 220 (2013), 217-226
• Tensor products of homotopy Gerstenhaber algebras, Homology Homotopy Appl. 13 (2011), 249-262
• (with Volker Puppe) Exact sequences for equivariantly formal spaces, C. R. Math. Acad. Sci. Soc. R. Can. 33 (2011), 1-10
• Describing toric varieties and their equivariant cohomology, Colloq. Math. 121 (2010), 1-16
• (with Anthony Bahri and Nigel Ray) The equivariant cohomology ring of weighted projective space, Math. Proc. Camb. Phil. Soc. 146 (2009), 395-405
• (with Volker Puppe) Freeness of equivariant cohomology and mutants of compactified representations, pp. 87-98 in: Megumi Harada et al. (eds.), Toric Topology (Osaka 2006), Contemp. Math. 460, AMS, Providence 2008
• (with Volker Puppe) Exact cohomology sequences with integral coefficients for torus actions, Transformation Groups 12 (2007), 65-76
• (with Frédéric Bihan, Clint McCrory and Joost van Hamel) Is every toric variety an M-variety? Manuscripta Math. 120 (2006), 217-232
• (with Volker Puppe) Steenrod squares on conjugation spaces, C. R. Acad. Sci. Paris, Ser. I 342 (2006), 187-190
• Comment on Novel public key encryption technique based on multiple chaotic systems, Phys. Rev. Lett. 96 (2006), 069401
• Koszul duality and equivariant cohomology, Documenta Math. 11 (2006), 243-259
• The integral cohomology of toric manifolds, Proc. Steklov Inst. Math. 252 (2006), 53-62
• (with Andrzej Weber) Weights in cohomology and the Eilenberg-Moore spectral sequence, Ann. Inst. Fourier 55 (2005), 673-691
• The singular Cartan model, Oberwolfach Reports 1 (2004), 1085-1087
• Koszul duality and equivariant cohomology for tori, Int. Math. Res. Not. 42 (2003), 2255-2303
• Moment polytopes of projective G-varieties and tensor products of symmetric group representations, J. Lie Theory 12 (2002), 539-549
  The polytope P(3,3,3) from the article in polymake format.

(Pr)eprints

• (with Christopher Allday and Volker Puppe) Equivariant Poincaré-Alexander-Lefschetz duality and the Cohen-Macaulay property, arXiv:1303.1146
• A geometric criterion for syzygies in equivariant cohomology, arXiv:1205.4462
• On the integral cohomology of smooth toric varieties, arXiv:math/0308253

Theses

• Koszul duality for tori, pdf (414K)
  PhD thesis supervised by Volker Puppe, Universität Konstanz 2001
• Darstellungstheorie und Quantenmechanik
  diploma thesis supervised by Volker Strassen, Universität Konstanz 1997
  Konstanzer Schriften in Mathematik und Informatik 186 (2003)

Workshops

• Topological methods in toric geometry, symplectic geometry and combinatorics, Banff, 8-11 November 2010
  (co-organized with Tony Bahri, Fred Cohen, Samuel Gitler and Megumi Harada)
• Calculations in equivariant cohomology, Konstanz, 6-7 December 2002
  (co-organized with Volker Puppe)

Mathematical programming

• Convex, a Maple package for convex geometry
• Torhom, a Maple package to study the homology of real and complex toric varieties