Publications

39. Algebraic topology of real spectra. In preparation

38. Real Closed Rings. In preparation

37. The semiring of sums of squares in a formally real field. In preparation

36. Real closed valuation rings. Preprint 2007

35. Convex subrings of partially ordered rings. Preprint 2007
Convex Extensions of Partially Ordered Rings (A series of lectures at the conference,"Géométrie algébrique et analytique réelle"). Kenitra, Morocco, 2004

34. About Schmüdgen's Theorem. Preprint

33. mit S. Kuhlmann und M. Marshall: Positivity, sums of squares and the multi-dimensional moment problem II. Advances in Geometry 5, 583-606 (2005)

32. mit A. Prestel: Model theory of real closed rings. In: Fields Institute Communications, vol. 32 (Eds. F.-V. Kuhlmann et al.), American Mathematical Society, Providence 2002, pp. 261 - 290

31. Epimorphic extensions and Prüfer extensions of partially ordered rings. manuscripta mathematica 102, 347 - 381 (2000)

30. mit J.J. Madden: Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings. Lecture Notes in Mathematics, Vol. 1712, Springer-Verlag, Berlin 1999

29. mit J.J. Madden: Separating ideals in dimension 2. Revista Mat. Univ. Compl. Madrid 10, 217-240 (1997)

28. Gabriel filters in real closed rings. Comment. Math. Helv. 72, 434-465 (1997)

27. Bounds for the Postulation Numbers of Hilbert Functions. J. Algebra 193, 581-615 (1997)

26. Rings of continuous functions as real closed rings. In: Ordered Algebraic Structures (Eds. W.C. Holland, J. Martinez), Kluwer, Dordrecht 1997, pp. 277-313

25. Piecewise polynomial functions. In: Ordered Algebraic Structures (Eds. J. Martinez, C. Holland), Kluwer, Dordrecht 1993, pp. 169-202

24. mit P. Kleinschmidt, B. Sturmfels: Unimodular fans, linear codes, and toric manifolds. In: Discrete and Computational Geometry (Eds. J.E. Goodman et al.), Discrete Math. and Theor. Comp. Sci, Vol. 6, Amer. Math. Soc., Providence 1991, pp. 179-186

23. mit E. Becker: Reduced Witt rings of infinite level. Mitteilungen math. Ges. Hamb. 12, 287-328 (1991)

22. Inverse real closed spaces. Illinois J. Math. 35, 536-568 (1991)

21. Eine universelle Eigenschaft reell abgeschlossener Räume. Comm. Alg. 18, 755-774 (1990)

20. Compactification of varieties. Arkiv för mat. 28, 333-370 (1990)

19. Signatures and real closures of fields. In: Seminaires sur les structures algebriques ordonnées, I (Eds. F. Delon et al.), Publ. math. Univ. Paris VII, vol. 32, UER de Mathématiques de l'Univ. Paris VII, Paris 1990, pp. 65-78

18. Open morphisms of real closed spaces. Rocky Mountain J. Math. 19, 913-938 (1989)

17. Epimorphisms of f-rings. In: Ordered Algebraic Structures (Ed. J. Martinez), Kluwer, Dordrecht 1989, pp.187-195

16. The basic theory of real closed spaces. Memoirs Amer. Math. Soc. No. 397, Amer. Math. Soc., Providence 1989

15. Stability of Gröbner bases. J. Pure Applied Alg. 53, 171-186 (1988)

14. Open locally semi-algebraic maps. J. Pure Applied Alg. 53, 139-169 (1988)

13. The basic theory of real closed spaces. Regensburger Math. Schriften, Bd. 15, Mathematische Fakultät der Universität Regensburg, Regensburg 1987

12. Chain signatures and higher level Witt rings. J. Alg. 110, 74-107 (1987)

11. Lattice-ordered fields. Order 3, 179-194 (1986)

10. Real Closed Rings. In: Algebra and Order (Ed. S. Wolfenstein), Heldermann Verlag, Berlin 1986, pp.175-194

9 .Chain signatures and real closures. J. reine angew. Math. 347, 1-20 (1984)

8. Real Closed Spaces. Habilitationsschrift, München 1984

7. mit E. Becker: Zum Darstellungssatz von Kadison - Dubois. Arch. Math. 40, 421-428 (1983)

6. Local stability and saturation in spaces of orderings. Canadian J. Math. 35, 454-477 (1983)

5. Der Raum der Zusammenhangskomponenten einer reellen Varietät. Geom. Ded. 13, 361-397 (1983)

4. The strong topology on real algebraic varieties. In: Ordered Fields and Real Algebraic Geometry (Eds. D.W. Dubois, T. Recio), Contemporary Math., Vol. 8, Amer. Math. Soc., Providence 1982, pp. 297-325

3. Archimedean lattice-ordered fields that are algebraic over their o-subfields. Pac. J. Math. 89, 189-198 (1980)

2. äta-alpha-Strukturen. Math. Zeitschrift 158, 147-155 (1978)

1. Über die Beziehungen zwischen der Galoisgruppe und dem Raum der Anordnungen eines formal-reellen Körpers. Arch. Math. 29, 148-153 (1977)