Jonathan Hauenstein

Cited by

	All	Since 2021
Citations	4685	1851
h-index	36	21
i10-index	90	64

420

210

105

315

200820092010201120122013201420152016201720182019202020212022202320242025202617 42 48 99 111 309 277 271 298 369 325 279 329 339 364 293 377 419 57

Public access

View all

93 articles

1 article

available

not available

Based on funding mandates

Co-authors

Andrew SommeseUniversity of Notre DameVerified email at nd.edu
Charles WamplerUniversity of Notre DameVerified email at nd.edu
Dhagash MehtaHead of Applied Artificial Intelligence Research (Investment Management) at Blackrock Inc.Verified email at blackrock.com
Frank SottileProfessor of Mathematics, Texas A&M UniversityVerified email at tamu.edu
Bei HuUniversity of Notre DameVerified email at nd.edu
Agnes SzantoProfessor of Mathematics, North Carolina State UniversityVerified email at ncsu.edu
Yong-Tao ZhangProfessor, University of Notre DameVerified email at nd.edu
Joseph M. LandsbergProfessor of Mathematics, Texas A&M UniversityVerified email at math.tamu.edu
Yuan LIUWichita State UniversityVerified email at math.wichita.edu
Heather A HarringtonMax Planck Institute of Molecular Cell Biology, TUD and Mathematical Institute, University of OxfordVerified email at maths.ox.ac.uk
Ashraf N. Al-KhateebKhalifa UniversityVerified email at ku.ac.ae
Samuel PaolucciProfessor of Aerospace and Mechanical Engineering, University of Notre DameVerified email at nd.edu
Joseph M. PowersProfessor, Aerospace and Mechanical Engineering, University of Notre DameVerified email at nd.edu
Yang-Hui He 何楊輝何杨辉London Institute for Mathematical Sciences, Royal Institution of Great BritainVerified email at merton.ox.ac.uk
Sandra Di RoccoKTHVerified email at kth.se
Bernard MourrainInria, AromathVerified email at inria.fr
Bernd SturmfelsDirector of the Max Planck Institute for Mathematics in the Sciences in Leipzig, GermanyVerified email at mis.mpg.de
Giorgio OttavianiProfessor of Geometry, Universita' di FirenzeVerified email at math.unifi.it
Luke OedingAuburn UniversityVerified email at auburn.edu
Kristian RanestadProfessor of Mathematics, University of OsloVerified email at math.uio.no

Jonathan Hauenstein

Robert and Sara Lumpkins Collegiate Professor, Appl. & Comp. Math. & Stat., University of Notre Dame

Verified email at nd.edu - Homepage

Numerical algebraic geometry differential equations algebraic geometry


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Bertini: Software for numerical algebraic geometry DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler	586	2006
Numerically solving polynomial systems with Bertini DJ Bates, AJ Sommese, JD Hauenstein, CW Wampler Society for Industrial and Applied Mathematics, 2013	550	2013
Algorithm 921: alphaCertified: certifying solutions to polynomial systems JD Hauenstein, F Sottile ACM Transactions on Mathematical Software (TOMS) 38 (4), 1-20, 2012	157	2012
Adaptive multiprecision path tracking DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler SIAM Journal on Numerical Analysis 46 (2), 722-746, 2008	140	2008
Regeneration homotopies for solving systems of polynomials J D. Hauenstein, A J. Sommese, C W. Wampler Mathematics of Computation 80 (273), 2010	115	2010
Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis D Mehta, NS Daleo, F Dörfler, JD Hauenstein Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (5), 2015	91	2015
Numerically computing real points on algebraic sets JD Hauenstein Acta applicandae mathematicae 125 (1), 105-119, 2013	80	2013
Isosingular sets and deflation JD Hauenstein, CW Wampler Foundations of Computational Mathematics 13 (3), 371-403, 2013	76	2013
Witness sets of projections JD Hauenstein, AJ Sommese Applied Mathematics and Computation 217 (7), 3349-3354, 2010	76	2010
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core W Hao, JD Hauenstein, B Hu, Y Liu, AJ Sommese, YT Zhang Nonlinear Analysis: Real World Applications 13 (2), 694-709, 2012	75	2012
Homotopy techniques for tensor decomposition and perfect identifiability JD Hauenstein, L Oeding, G Ottaviani, AJ Sommese Journal für die reine und angewandte Mathematik (Crelles Journal) 2019 (753 …, 2019	73	2019
One-dimensional slow invariant manifolds for spatially homogenous reactive systems AN Al-Khateeb, JM Powers, S Paolucci, AJ Sommese, JA Diller, ... The Journal of chemical physics 131 (2), 2009	69	2009
Algebraic boundaries of Hilbert’s SOS cones G Blekherman, J Hauenstein, JC Ottem, K Ranestad, B Sturmfels Compositio Mathematica 148 (6), 1717-1735, 2012	64	2012
Numerical algebraic geometry: a new perspective on gauge and string theories D Mehta, YH He, JD Hauenstein Journal of High Energy Physics 2012 (7), 1-32, 2012	63	2012
A numerical local dimension test for points on the solution set of a system of polynomial equations DJ Bates, JD Hauenstein, C Peterson, AJ Sommese SIAM Journal on Numerical Analysis 47 (5), 3608-3623, 2009	63	2009
Stepsize control for path tracking DJ Bates, JD Hauenstein, AJ Sommese, CW Wampler II Contemporary Mathematics 496, 21, 2009	62	2009
Mechanism mobility and a local dimension test CW Wampler, JD Hauenstein, AJ Sommese Mechanism and machine theory 46 (9), 1193-1206, 2011	60	2011
Energy-landscape analysis of the two-dimensional nearest-neighbor model D Mehta, JD Hauenstein, M Kastner Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 85 (6 …, 2012	59	2012
Maximum likelihood for matrices with rank constraints J Hauenstein, J Rodriguez, B Sturmfels arXiv preprint arXiv:1210.0198, 2012	58	2012
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws W Hao, JD Hauenstein, CW Shu, AJ Sommese, Z Xu, YT Zhang Journal of Computational Physics 250, 332-346, 2013	55	2013

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow

Cited by

Co-authors