Peter Bürgisser and Matthias Christandl and Ketan D. Mulmuley and Michael Walter - Membership in moment polytopes is in NP and coNP. SIAM Journal on Computing 46(3) pp. 972-991, 2017.

Peter Bürgisser and Christian Ikenmeyer - Fundamental invariants of orbit closures. Journal of Algebra 477 pp. 390–434, 2017.

Peter Bürgisser and Christian Ikenmeyer and Jesko Hüttenhain - Permanent Versus Determinant: Not Via Saturations. Proc. AMS 145 pp. 1247-1258, 2016.

Peter Bürgisser - Permanent versus determinant, obstructions, and Kronecker coefficients. Séminaire Lotharingien de Combinatoire 75 , 2016.

Paul Breiding and Peter Bürgisser - Distribution of the eigenvalues of a random system of homogeneous polynomials. Linear Algebra and its Applications 497 pp. 88-107, 2016.

Peter Bürgisser and Christian Ikenmeyer and Greta Panova - No occurrence obstructions in geometric complexity theory. Proceedings 57th Annual IEEE Symposium on Foundations of Computer Science pp. 386–395, 04/ 2016.

Peter Bürgisser and Kathlén Kohn and Pierre Lairez and Bernd Sturmfels - Computing the Chow variety of quadratic space curves. Mathematical Aspects of Computer and Information Sciences (eds. I. Kotsireas, S. Rump and C. Yap) - MACIS 2015, Berlin, Germany, November 11-13, Revised Selected Papers pp. 130-136, 4/ 2016.

Diego Armentano and Carlos Beltrán and Peter Bürgisser and Felipe Cucker and Michael Shub - Condition length and complexity for the solution of polynomial systems. Found. Comput. Math. 16(6) pp. 1401–1422, 2016.

Peter Bürgisser and Felipe Cucker and Elisa Rocha Cardozo - Characteristic polynomials of typical matrices are ill-conditioned, Preprint 2015.

Dennis Amelunxen and Peter Bürgisser - Probabilistic analysis of the Grassmann condition number. Foundations of Computational Mathematics 15(1) pp. 3-51, 2015.

Dennis Amelunxen and Peter Bürgisser - Intrinsic volumes of symmetric cones and applications in convex programming. Mathematical Programming 149(1-2) pp. 105-130, 2015.

Peter Bürgisser and Felipe Cucker - A stable, polynomial-time algorithm for the eigenpair problem, Preprint 2014. This preprint was merged in 2015 with arXiv:1410.2179 into arXiv:1505.03290.

Peter Bürgisser and Christian Ikenmeyer - Explicit Lower Bounds via Geometric Complexity Theory. Proceedings 45th ACM Symposium on Theory of Computing pp. 141-150, 2013.

Peter Bürgisser and Christian Ikenmeyer - Deciding Positivity of Littlewood-Richardson coefficients. SIAM J. Discrete Math. 27(4) pp. 1639-1681, 2013.

Dennis Amelunxen and Peter Bürgisser - Intrinsic volumes of symmetric cones, Preprint 2012. A substantially revised and shortened version of this preprint has been published in Mathematical Programming 149(1-2) pp. 105-130, 2015.