| 70 |
(with Igor Klep and Jurij Volcic)
Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem.
Mathematische Annalen 387, 1403-1433 (2023).
(pdf).
|
| 69 |
(with Tim Kobert)
Spectrahedral representation of polar orbitopes.
Manuscripta mathematica 169, 185-208 (2022).
(pdf).
|
| 68 |
Extreme points of Gram spectrahedra of binary forms.
Discrete and Computational Geometry 67, 1174-1190 (2022).
(pdf).
|
| 67 |
Second-order cone representation for convex sets in the plane.
SIAM J. Appl. Algebra Geometry 5, 114-139 (2021).
(pdf).
|
| 66 |
(with Jose Capco)
Two remarks on sums of squares with rational coefficients.
Algebra, Logic and Number Theory, Banach Center Publ. 121, 25-36 (2020).
(pdf)
|
| 65 |
(with Philipp Jell and Josephine Yu)
Real tropicalization and analytification of semialgebraic sets.
International Mathematics Research Notices 2022, 928-958.
(pdf).
|
| 64 |
Spectrahedral shadows.
SIAM J. Appl. Algebra Geometry 2, 26-44 (2018).
(pdf).
|
| 63 |
Semidefinite representation for convex hulls of real algebraic curves.
SIAM J. Appl. Algebra Geometry 2, 1-25 (2018).
(pdf).
|
| 62 |
(with Colin Tan)
A Positivstellensatz for forms on the positive orthant.
Arch. Math. 109, 123--131 (2017).
(doi)
|
| 61 |
(with Sebastian Wenzel)
Polynomials nonnegative on the cylinder.
In: Ordered Algebraic Structures and Related Topics,
F. Broglia et al (eds.),
Contemp. Math. 697, AMS, Providence, RI, 2017,
pp. 291-300.
(doi)
|
| 60 |
Sum of squares length of real forms.
Math. Z. 286, 559-570 (2017).
(doi))
|
| 59 |
(with Aaron Kunert)
Extreme positive ternary sextics.
Trans. Am. Math. Soc. 370, 3997--4013 (2018).
(doi,
preprint)
|
| 58 |
(with Daniel Plaumann)
Toric completions and bounded functions on real algebraic varieties.
J. London Math. Soc. (2) 94, 598-616 (2016).
|
| 57 |
Sums of squares of polynomials with rational coefficients.
J. European Math. Soc. 18, 1495-1513 (2016).
|
| 56 |
(with Maria Charina, Mihai Putinar and Joachim Stöckler)
An algebraic perspective on multivariate tight wavelet frames. II.
Appl. Comput. Harmon. Anal. 39, 185-213 (2015).
|
| 55 |
(with David Harari and Tomás Szamuely)
Weak approximation for tori over p-adic function fields.
Int. Math. Res. Notices 10, 2751-2783 (2015).
|
| 54 |
(with Mihai Putinar) Quillen property of real algebraic varieties.
Münster J. Math. 7, 671-696 (2014).
|
| 53 |
(with Maria Charina, Mihai Putinar and Joachim Stöckler)
An algebraic perspective on multivariate tight wavelet frames.
Constructive Approximation 38, 253-276 (2013)
|
| 52 |
Appendix to:
"Isomorphism criteria for Witt rings of real fields"
by N. Grenier-Boley and D. Hoffmann.
Forum Math. 25, 15-17 (2013)
|
| 51 |
(with Mihai Putinar) Quillen property for real algebraic varieties.
Illinois J. Math. 56, 213-220 (2012)
|
| 50 |
(with Albrecht Pfister)
An elementary proof of Hilbert's theorem on ternary quartics.
J. Algebra 371, 1-25 (2012)
|
| 49 |
(with Daniel Plaumann)
The ring of bounded polynomials on a semi-algebraic set.
Trans. Am. Math. Soc. 364, 4663-4682 (2012)
|
| 48 |
A Positivstellensatz for projective real varieties.
Manuscr. math. 138, 73-88 (2012)
|
| 47 |
(with Sabine Burgdorf and Markus Schweighofer)
Pure states, nonnegative polynomials, and sums of squares.
Comm. Math. Helvetici 87, 113-140 (2012)
|
| 46 |
Convex hulls of curves of genus one.
Adv. Math. 228, 2606-2622 (2011)
|
| 45 |
(with Mihai Putinar)
Sums of hermitian squares on pseudoconvex boundaries.
Math. Res. Lett. 17, 1047-1053 (2010)
|
| 44 |
The u-invariant of one-dimensional function fields over real power series fields.
Arch. Math. 93, 245-251 (2009)
|
| 43 |
Weighted sums of squares in local rings and their completions, II.
Math. Z. 266, 21-42 (2010)
|
| 42 |
Weighted sums of squares in local rings and their completions, I.
Math. Z. 266, 1-19 (2010)
|
| 41 |
Hilbert's theorem on positive ternary quartics: A refined analysis.
J. Algebraic Geometry 19, 285-333 (2010)
|
| 40 |
Positivity and sums of squares: A guide to recent results.
In: Emerging Applications of Algebraic Geometry
(M. Putinar, S. Sullivant, eds.),
IMA Volumes Math. Appl. 149, Springer, 2009, pp. 271-324.
|
| 39 |
(with Jaka Cimprič and Salma Kuhlmann)
Sums of squares and moment problems in equivariant situations.
Trans. Am. Math. Soc. 361, 735-765 (2009)
|
| 38 |
(with Mihai Putinar)
Multivariate moment problems: Geometry and indeterminateness.
Ann. Scuola Norm. Sup. Pisa (5) 5, 137-157 (2006)
|
| 37 |
(with José F. Fernando and Jesús M. Ruiz)
Sums of squares of linear forms.
Math. Res. Lett. 13, 947-956 (2006)
|
| 36 |
Sums of squares on real algebraic surfaces.
Manuscr. math. 119, 395-410 (2006)
|
| 35 |
Non-existence of degree bounds for weighted sums of squares representations.
J. Complexity 21, 823-844 (2005)
|
| 34 |
Distinguished representations of non-negative polynomials.
J. Algebra 289, 558-573 (2005)
|
| 33 |
(with Vicki Powers, Bruce Reznick and Frank Sottile)
A new approach to Hilbert's theorem on ternary quartics.
C. R. Acad. Sci. Paris, Ser. I 339, 617-620 (2004)
|
| 32 |
(with José F. Fernando and Jesús M. Ruiz)
Sums of squares in real rings.
Trans. Am. Math. Soc. 356, 2663-2684 (2004)
|
| 31 |
Sums of squares on real algebraic curves.
Math. Z. 245, 725-760 (2003)
|
| 30 |
(with Joost van Hamel)
Cohomology of tori over p-adic curves.
Math. Ann. 326, 155-183 (2003)
|
| 29 |
(with David Lewis and Thomas Unger)
A weak Hasse principle for central simple algebras with an involution.
Doc. Math. Extra Volume, Proc. Conf. Quadratic Forms and Related Topics,
Baton Rouge, La., 2001, 241-251 (2001)
|
| 28 |
On sums of squares in local rings.
J. reine angew. Math. 540, 205-227 (2001)
|
| 27 |
(with Vicki Powers)
The moment problem for non-compact semialgebraic sets.
Adv. Geom. 1, 71-88 (2001)
|
| 26 |
Sums of squares of regular functions on real algebraic varieties.
Trans. Am. Math. Soc. 352, 1039-1069 (1999)
|
| 25 |
The structure of some virtually free pro-p groups.
Proc. Am. Math. Soc. 127, 695-700 (1999)
|
| 24 |
(with Yuval Z. Flicker and R. Sujatha)
Grothendieck's theorem on non-abelian H2 and local-global principles.
J. Am. Math. Soc. 11, 731-750 (1998)
|
| 23 |
Appendix to:
"A cohomological interpretation of the Grothendieck-Teichmüller group"
by P. Lochak and L. Schneps.
Invent. math. 127, 597-600 (1997)
|
| 22 |
Remark on the paper
"Zerlegung reeller algebraischer Funktionen in Quadrate.
Schiefkörper über reellem Funktionenkörper'' by E. Witt.
In: Ernst Witt, Collected Papers --- Gesammelte Abhandlungen (I. Kersten, ed.),
Springer, Berlin, 1998, p. 89
|
| 21 |
Classification of hermitian forms and semisimple groups over
fields of virtual cohomological dimension one.
Manuscr. math. 89, 373-394 (1996)
|
| 20 |
Hasse principles and approximation theorems for homogeneous spaces
over fields of virtual cohomological dimension one.
Invent. math. 125, 307-365 (1996)
|
| 19 |
Farrell cohomology and Brown theorems for profinite groups.
Manuscr. math. 91, 247-281 (1996)
|
| 18 |
(with Jean-Louis Colliot-Thélène)
Zero-cycles and cohomology on real algebraic varieties.
Topology 35, 533-559 (1996)
|
| 17 |
Purity theorems for real spectra and applications.
In: Real Analytic and Algebraic Geometry, Proc. Conf. Trento 1992,
F. Broglia, M. Galbiati, A. Tognoli (eds.),
de Gruyter, Berlin 1995, pp. 229-250
|
| 16 |
Quasi-augmented simplicial spaces, with an application to cohomological dimension.
J. Pure Applied Algebra 81, 293-311 (1992)
|
| 15 |
Real algebra and its applications to geometry in the last ten years:
Some major developments and results.
In: Real Algebraic Geometry, Proc. Conf. Rennes 1991,
M. Coste, L. Mahé, M.-F. Roy (eds.),
Lect. Notes Math. 1524, Springer, Berlin, 1992, pp. 75-96
|
| 14 |
Some remarks on orderings under finite field extensions.
Pacific J. Math. 152, 175-185 (1992)
|
| 13 |
Spaces of orderings of fields under finite extensions.
Manuscr. math. 72, 27-47 (1991) |
| 12 |
Stability index of real varieties.
Invent. math. 97, 467-483 (1989)
|
| 11 |
(with Roland Huber)
A relative notion of local completeness in semialgebraic geometry.
Arch. Math. 53, 571-584 (1989)
|
| 10 |
Quotients of semi-algebraic spaces.
Math. Z. 201, 249-271 (1989)
|
| 9 |
Riemannian almost-product structures with maximal mobility.
Geom. Dedicata 24, 109-122 (1987)
|
| 8 |
Intersections of maximal subalgebras in Lie algebras.
J. Algebra 105, 268-270 (1987)
|
| 7 |
Algebraic subgroup lattices of topological groups.
Algebra Universalis 22, 235-243 (1986)
|
| 6 |
Topologies on the subgroup lattice of a compact group.
Topology Appl. 23, 183-191 (1986)
|
| 5 |
Zusammenhängende Untergruppen von pro-Lieschen Gruppen.
Geom. Dedicata 21, 231-248 (1986)
|
| 4 |
Quasi-normal subgroups of algebraic groups.
Arch. Math. 45, 8-11 (1985)
|
| 3 |
Topologisch quasinormale Untergruppen zusammenhängender lokalkompakter Gruppen.
Monatsh. Math. 98, 75-81 (1984)
|
| 2 |
Topologisch linksengelsche Elemente.
Manuscr. math. 49, 243-266 (1985)
|
| 1 |
Topologisch rechtsengelsche Elemente in zusammenhängenden lokalkompakten Gruppen.
Arch. Math. 43, 117-120 (1984)
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