My preprints and publications are listed below. Please feel free to contact me for more information.
My preprints and publications are listed below. Please feel free to contact me for more information.
Research Papers and preprints
Research Papers and preprints
Preprint: Dias, L.R.G., and Ramos, G. S. B., "A Thom Isotopy Theorem for nonproper semialgebraic maps", submitted.
Preprint: Dias, L.R.G., and Ramos, G. S. B., "A Thom Isotopy Theorem for nonproper semialgebraic maps", submitted.
Preprint: Dias, L.R.G. and Jelonek, Z., "Symmetry defect of n-dimensional complete intersections in C^{2n+1}", submitted.
Preprint: Dias, L.R.G. and Jelonek, Z., "Symmetry defect of n-dimensional complete intersections in C^{2n+1}", submitted.
13. Dias, L.R.G., Farnik, M. and Jelonek, Z., "Generic symmetry defect set of an algebraic curve", accepted for publication in Proc. Amer. Math. Soc. (2024).
13. Dias, L.R.G., Farnik, M. and Jelonek, Z., "Generic symmetry defect set of an algebraic curve", accepted for publication in Proc. Amer. Math. Soc. (2024).
12. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "Surjectivity of linear operators and semialgebraic global diffeomorphisms", Journal d'Analyse Mathématique 150, 789–802 (2023).
12. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "Surjectivity of linear operators and semialgebraic global diffeomorphisms", Journal d'Analyse Mathématique 150, 789–802 (2023).
11. Dias, L.R.G. and Ribeiro, Nilva R., "Lipschitz normally embedded set and tangent cones at infinity", Journal of Geometric Analysis 32, 51 (2022).
11. Dias, L.R.G. and Ribeiro, Nilva R., "Lipschitz normally embedded set and tangent cones at infinity", Journal of Geometric Analysis 32, 51 (2022).
10. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "A counterexample to the conjecture of Nollet-Xavier." Proc. Amer. Math. Soc. 150, 1795-1798 (2022).
10. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "A counterexample to the conjecture of Nollet-Xavier." Proc. Amer. Math. Soc. 150, 1795-1798 (2022).
9. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "On global invertibility of semi-algebraic local diffeomorphisms", Topol. Methods Nonlinear Anal 58, (2021).
9. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "On global invertibility of semi-algebraic local diffeomorphisms", Topol. Methods Nonlinear Anal 58, (2021).
8. Dias, L.R.G; Joita, C. and Tibar, M., "Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials", Mathematische Zeitschrift, v. 298(3), 1545-1558 (2021).
8. Dias, L.R.G; Joita, C. and Tibar, M., "Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials", Mathematische Zeitschrift, v. 298(3), 1545-1558 (2021).
7. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "On topological approaches to the Jacobian Conjecture in C^n", Proceedings of the Edinburgh Mathematical Society, v. 63, issue 3, p. 666-675 (2020).
7. Braun, F.; Dias, L.R.G. and Venato-Santos, J., "On topological approaches to the Jacobian Conjecture in C^n", Proceedings of the Edinburgh Mathematical Society, v. 63, issue 3, p. 666-675 (2020).
6. Dias, L.R.G. and Venato-Santos, J., "Fibrations and global injectivity of local homeomorphisms", Topology and its Applications, v. 235, p. 22-34 (2018).
6. Dias, L.R.G. and Venato-Santos, J., "Fibrations and global injectivity of local homeomorphisms", Topology and its Applications, v. 235, p. 22-34 (2018).
5. Dias, L.R.G; Tanabé, S. and Tibar, M., "Towards effective detection of the bifurcation locus of real polynomial maps", Foundations of Computational Mathematics, v. 17, p. 837-849 (2017) .
5. Dias, L.R.G; Tanabé, S. and Tibar, M., "Towards effective detection of the bifurcation locus of real polynomial maps", Foundations of Computational Mathematics, v. 17, p. 837-849 (2017) .
4. Dias, L.R.G. and Tibar, M., "Detecting bifurcation values at infinity of real polynomials", Mathematische Zeitschrift , 279 (1), p. 311-319 (2015).
4. Dias, L.R.G. and Tibar, M., "Detecting bifurcation values at infinity of real polynomials", Mathematische Zeitschrift , 279 (1), p. 311-319 (2015).
3. Dias, L.R.G., "On regularity conditions at infinity", Journal of Singularities, v.10, p.54-66 (2014).
3. Dias, L.R.G., "On regularity conditions at infinity", Journal of Singularities, v.10, p.54-66 (2014).
2. Chen, Y.; Dias, L.R.G., Takeuchi, K. and Tibar, M., "Invertible polynomial mappings via Newton non-degeneracy", Annales de L'Institut Fourier, 64 no. 5, p. 1807-1822 (2014).
2. Chen, Y.; Dias, L.R.G., Takeuchi, K. and Tibar, M., "Invertible polynomial mappings via Newton non-degeneracy", Annales de L'Institut Fourier, 64 no. 5, p. 1807-1822 (2014).
1. Dias, L.R.G; Ruas, M.A.S. and Tibar, M., "Regularity at infinity of real mappings and a Morse-Sard theorem", J. Topology (Oxford), 5, p. 323-340 (2012).
1. Dias, L.R.G; Ruas, M.A.S. and Tibar, M., "Regularity at infinity of real mappings and a Morse-Sard theorem", J. Topology (Oxford), 5, p. 323-340 (2012).