On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities. - Daniel J. Bates; Daniel A. Brake; Jonathan D. Hauenstein; Andrew J. Sommese; Charles W. Wampler (ICMS, 2014)

Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets. - Daniel A. Brake; Daniel J. Bates; Wenrui Hao; Jonathan D. Hauenstein; Andrew J. Sommese; Charles W. Wampler (ICMS, 2014)

Workspace Multiplicity and Fault Tolerance of Cooperating Robots. - Daniel A. Brake; Daniel J. Bates; Vakhtang Putkaradze; Anthony A. Maciejewski (MACIS, 2015)

Numerical Local Irreducible Decomposition. - Daniel A. Brake; Jonathan D. Hauenstein; Andrew J. Sommese (MACIS, 2015)

Decomposing Solution Sets of Polynomial Systems Using Derivatives. - Daniel A. Brake; Jonathan D. Hauenstein; Alan C. Liddell Jr. (ICMS, 2016)

Validating the Completeness of the Real Solution Set of a System of Polynomial Equations. - Daniel A. Brake; Jonathan D. Hauenstein; Alan C. Liddell Jr. (ISSAC, 2016)

Numerically validating the completeness of the real solution set of a system of polynomial equations. - Daniel A. Brake; Jonathan D. Hauenstein; Alan C. Liddell Jr. (CoRR, 2016)

Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Sets. - Daniel J. Bates; Daniel A. Brake; Jonathan D. Hauenstein; Andrew J. Sommese; Charles W. Wampler (MACIS, 2017)

Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces. - Daniel A. Brake; Daniel J. Bates; Wenrui Hao; Jonathan D. Hauenstein; Andrew J. Sommese; Charles W. Wampler (ACM Trans. Math. Softw., 2017)

Paramotopy: Parameter Homotopies in Parallel. - Daniel J. Bates; Danielle A. Brake; Matt Niemerg (ICMS, 2018)

polyTop: Software for Computing Topology of Smooth Real Surfaces. - Danielle A. Brake; Jonathan D. Hauenstein; Margaret H. Regan (ICMS, 2018)

Arc Length based Maximal Lyapunov Functions and domains of attraction estimation for polynomial nonlinear systems. - Mojtaba Zarei; Ahmad Kalhor; Dani Brake (Autom., 2018)

Solving Critical Point Conditions for the Hamming and Taxicab Distances to Solution Sets of Polynomial Equations. - Danielle A. Brake; Noah S. Daleo; Jonathan D. Hauenstein; Samantha N. Sherman (SYNASC, 2019)

Singular Value Decomposition of Complexes. - Danielle A. Brake; Jonathan D. Hauenstein; Frank-Olaf Schreyer; Andrew J. Sommese; Michael Eugene Stillman (SIAM J. Appl. Algebra Geom., 2019)

Robustness and parameter geography in post-translational modification systems. - Kee-Myoung Nam; Benjamin M. Gyori; Silviana V. Amethyst; Daniel J. Bates; Jeremy Gunawardena (PLoS Comput. Biol., 2020)