Florian Breuer

Professor of Mathematics

Room 1008C
Mathematics Building

Address:

    Department of Mathematical Sciences, Mathematics Division
    University of Stellenbosch
    7602 Stellenbosch
    South Africa
    Tel: +27 (0) 21 808 3288
    Fax: +27 (0) 21 808 3828
    email: fbreuer@sun.ac.za

mugshot by David Goss

Activities:

Postdoc opportunity for Germans: Are you German, and want to do a postdoc at Stellenbosch University? Apply here to get a postdoc scholarship from the Alexander-von-Humboldt Foundation. As a Humboldian, I can be your host in South Africa.

The Number Theory Seminar takes place once a week, on Mondays 14h30-15h30, in the discussion rooms. Dirk Basson is now in charge.

Wiskus is the undergraduate Mathematics society, currently in hibernation. If you're interested in reviving it, let me know.

I'm on the editorial board of the Journal of Number Theory. If you wish to submit an article, I would prefer you to use the online submission system at this link.

A biennial conference series in Arithmetic Geometry has been held in Stellenbosch since 1997. The next instalment is the AIMS-Stellenbosch Number Theory Conference 2017, to be held 16-20 January 2017.
See below for some of the recent conferences in this series:
2005
2007
2009
2011
2013
2015 (held at AIMS)

Photography

Research

I work in Number Theory. More specifically, my main interst lies in Arithmetic Geometry, where I work on Elliptic curves, Drinfeld modules, Drinfeld modular forms and related topics. I also sometimes work on more elementary things, such as Ducci sequences.

Publications

Note: for copyright reasons, some of the following PDF files are not the final, published versions.
  1. Discovery and analysis of gamma doradus type pulsations in the F0 IV star HR 2740 QW pup, Mon. Not. R. Astron. Soc. 292 (1997), 621-630. (4th author, with E. Poretti, C. Koen, P. Martinez, D. de Alwis and H. Haupt) [PDF]
  2. Line profile variations in the spectra of the gamma Dor star HR 2740, In: IAU Symposium 185 "New Eyes to See Inside the Sun and Stars", (F.-L. Deubner, J. Christensen-Dalsgaard, D. Kurtz, eds) Kyoto, Japan, 18-22 August, 1997, p. 387. (5th author, with E. Poretti, L. Mantegazza, C. Koen, P. Martinez, D. De Alwis and H. Haupt). [PDF]
  3. Strategy and complexity of the game of squares. Bull. London. Math. Soc 30 (1998), 274-282. (With Mike Robson) [PDF]
  4. A note on a paper by Glaser and Schöffl. Fibonacci Quart. 36.5 (1998), 463-466. [PDF]
  5. Ducci sequences over abelian groups. Comm. Algebra 27.12 (1999), 5999-6013. [PDF]
  6. Heights of CM points on complex affine curves. Ramanujan J. 5 (2001), 311-317. [PDF]
  7. Distinguished liftings and the André-Oort conjecture. Quaest. Math. 25(3) (2002), 363-380. [PDF]
  8. La conjecture d'André-Oort pour le produit de deux coubres modulaires de Drinfeld. C. R. Math. Acad. Sci. Paris 335 (2002), no. 11, 867--870. [PDF]
  9. Higher Heegner points on elliptic curves over function fields. J. Number Theory 104 (2004), 315-326. [PDF]
  10. Images of isogeny classes on modular elliptic curves. Math. Res. Lett. 11 (2004), 649-651. [PDF]
  11. The André-Oort conjecture for products of Drinfeld modular curves. J. reine angew. Math. 579 (2005), 115-144. [PDF]
  12. Monodromy groups associated to non-isotrivial Drinfeld modules in generic characteristic. In: "Number Fields and Function Fields - Two Parallel Worlds", (G. van der Geer, B. Moonen, R. Schoof, eds.), Progress in Mathematics, 239, p61-69, Birkhäuser Verlag, 2005. (With Richard Pink.) [PDF]
  13. CM points on products of Drinfeld modular curves. Trans. Amer. Math. Soc. 359 (2007), 1351-1374. [PDF]
  14. Ducci sequences and cyclotomic polynomials. Finite Fields Appl. 13 (2007), 293-304. (With Ernest Lötter and Brink van der Merwe.) [PDF]
  15. Ducci sequences in higher dimensions. Integers: Electronic Journal of Combinatorial Number Theory 7 (2007), #A24. [PDF]
  16. The André-Oort conjecture for Drinfeld modular varieties. C. R. Math. Acad. Sci. Paris, Ser. I, 344 (2007), 733-736. [PDF]
  17. Heegner points and the rank of elliptic curves over large extensions of global fields. Canadian J. Math. 60 (2008), no.3, 481-490. (With Bo-Hae Im) [PDF]
  18. Drinfeld modular polynomials in higher rank. J. Number Theory 129 (2009), 59-83. (With Hans-Georg Rück) [PDF]
  19. Torsion bounds for elliptic curves and Drinfeld modules. J. Number Theory 130 (2010), 1241-1250. [PDF]
  20. Ducci sequences and cyclotomic fields. J. Difference Equ. Appl. 16 (2010), no. 7, 847-862. [PDF]
  21. Special subvarieties of Drinfeld modular varieties. J. reine angew. Math. 668 (2012), 35-57. [PDF]
  22. Newton identities for Weierstrass products. Amer. Math. Monthly 119, no. 9 (2012), 796-799. [PDF]
  23. Explicit Drinfeld moduli schemes and Abhyankar's generalized iteration conjecture. J. Number Theory 160 (2016), 432-450. [PDF]
  24. Drinfeld modular polynomials in higher rank II: Kronecker congruences. (With Hans-Georg Rück). J. Number Theory 165 (2016), 1-14. [PDF]
  25. A note on Gekeler's h-function. Arch. Math. 107 (2016), 305-313. [PDF] The final publication is available at Springer via http://dx.doi.org/doi:10.1007/s00013-016-0923-1.

  26. On certain Drinfeld modular forms of higher rank. (with Dirk Basson). Submitted. [PDF]

Academic qualifications

Curriculum Vitae

Graduate Students

Courses Offered

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004


Due to a server crash, some of the above links are broken, and some content was lost. If you need anything you can't find here, please contact me.