Martin Widmer

Address:

Graz University of Technology

Institute for Analysis and Computational Number Theory (Math A)

Steyrergasse 30/II

8010 Graz

Austria

Contact:

Phone: +43 (316) 873 - 7620

E-mail: widmer"at"tugraz.at

Research Publications CV Teaching

Research

My main interests surround aspects of heights in Diophantine analysis, field arithmetic and Diophantine geometry.
A more detailed description of my research activities can be found in my research statement.

Publications

1. Counting primitive points of bounded height; Trans. Amer. Math. Soc. 362 (2010), no. 9, 4793-4829. pdf

2. Counting points of fixed degree and bounded height; Acta Arith. 140 (2009), no. 2, 145-168. pdf

3. Counting points of fixed degree and bounded height on linear varieties; J. Number Theory 130 (2010), no. 8,
    1763-1784. pdf

4. Small generators of function fields; J. Theor. Nombres Bordeaux 22, (2010), no. 3, 544-551. pdf

5. On certain infinite extensions of the rationals with Northcott property; Monatsh. Math. 162 (2011), no. 3,
    341-353. pdf

6. On number fields with nontrivial subfields; Int. J. Number Theory 7, (2011), no. 3, 695-720. pdf

7. Lipschitz class, narrow class, and counting lattice points; Proc. Amer. Math. Soc. 140 (2012), no. 2, 677-689. pdf

8. (With J. Thunder) Counting points of fixed degree and given height in function fields;
    submitted (2011). pdf

9. (With S. Checcoli) On the Northcott property and other properties related to polynomial mappings;
    to appear in Math. Proc. Cambridge Philos. Soc. pdf

10. Integral points of fixed degree and bounded height; preprint (2011).

11. (With J. Vaaler) On small generators of number fields; in preparation (2011).

Short Curriculum Vitae

[07/2010 -- present] Lise Meitner fellow, TU Graz, Austria.

[05/2010 -- 07/2010] Visitor at the IH\'ES, Bures sur Yvette, France.

[03/2009 -- 05/2010] Lecturer and Postdoctoral Researcher, TU Graz, Austria.

[03/2008 -- 04/2009] SNSF Postdoctoral Fellow, University of Texas at Austin, USA.

[10/2007 -- 02/2008] Teaching assistant, University of Basel, Switzerland.

[10/2003 -- 10/2007] Ph.D. student, University of Basel, Switzerland.
                                 Ph.D. Thesis: Asymptotically Counting Points of Bounded Height
                                 Adviser: David Masser.
                                 Defense: October 18, 2007.

Here is an extended version of my CV.

Teaching (Office Hours: Thursday 14:00-16:00)

[March 02 - March 04 2011] Winter School "Heights and algebraic numbers" organized by Prof. Walter Gubler. Here is my course manuscript.

[Summer 2011] Instructor and TA, Einfuehrung in die Hoehentheorie.

[Summer 2011] Instructor and TA, Spezialgebiete der Zahlentheorie.

[Winter 2009/2010] Instructor and TA, Analysis 3 - Complex analysis.

[Winter 2009/2010] TA, Analysis 3 - Ordinary differential equations, Instructor: Prof. R. Burkard.

[Fall 2007] TA, Commutative algebraic groups, Instructor: Prof. D. W. Masser.

[Fall 2007] TA, Mathematics for middle school teachers, Instructor: Dr. Chr. Zehrt.

[Summer 2007] TA, Mathematical methods 2, Instructor: Prof. A. A'Campo-Neuen.

[Winter 2006/2007] TA, Linear algebra, Instructor: Prof. D. W. Masser.

[Summer 2006] TA, Applied stochastics, Instructor: Dr. Chr. Luchsinger.

[Winter 2005/2006] TA, Galois theory, Instructor: Prof. D. W. Masser.

[Summer 2005] TA, Mathematics for natural scientists 4, Instructor: Prof. A. A'Campo-Neuen.

[Winter 2004/2005] TA, Algebraic number theory, Instructor: Prof. D. W. Masser.

[Summer 2004] TA, Proseminar, Instructor: Prof. D. W. Masser.

[Winter 2003/2004] TA, Diophantine equations 2, Instructor: Prof. D. W. Masser.

[Winter 2003/2004] Instructor, Preparatory course in mathematics, NSH Bildungszentrum, Basel.

[Winter 2001/2002] TA, Linear algebra, Instructor: Prof. M. Grote.

Last modified on January 25, 2012.