Publications of the PhD Alumni 2020

-Norman Francisco Noguera Salgado

Defense: 11/02/2020

Current Position: Universidad de Costa Rica – UCR, Costa Rica.

Publications:

-Noguera, N.; Pastor, A., Blow-up solutions for a system of Schrödinger equations with general quadratic-type nonlinearities in dimensions five and six. Calculus of Variations and Partial Differential Equations, v. 61, p. 111, 2022.

-Noguera, N.; Pastor, A., Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance. SN Partial Differential Equations and Applications, v. 2, p. 60, 2021.

-Noguera, N.; Pastor, A., Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five. Discrete And Continuous Dynamical Systems. Series A, v. 41, p. 3817-3836, 2021.

-Noguera, N.; Pastor, A., A system of Schrödinger equations with general quadratic-type nonlinearities. Communications In Contemporary Mathematics, v. 23, p. 2050023, 2021.

-Noguera, N.; Pastor, A., On the dynamics of a quadratic Schrödinger system in dimension n=5. Dynamics of Partial Differential Equations, v. 17, p. 1-17, 2020.

 

-Simeão Targino da Silva

Defense: 20/02/2020

Current Position: Universidade Federal Rural do Semi-Árido – UFERSA. Assistant Professor.

Publications:

-Targino da Silva, S.; Varão, R. Conditions for Atomic Disintegration to be Monoatomic. Journal of Dynamical and Control Systems (aceito para publicação), 2023.

 

-Luis Ernesto Portilla Paladines

Defense: 03/03/2020

Current Position: Université de Bretagne Occidentale - UBO, França. Post-Doc Position.

Publicações:

-Paladines, L. E. P.; Sá Earp, H. N., Instantons on Sasakian 7-manifolds. The Quarterly Journal of Mathematics, v.74, p. 1027-1083, 2023.

 

-Adriana Juzga León

Defense: 09/03/2020

Current Position: Universidade do Estado do Rio de Janeiro – UERJ. Post-Doc Position.

Publications:

-Kochloukova, D. H.; León, A. J. Finitely presented metabelian restricted Lie algebras. Journal of Algebra, v. 560, p. 1107-1145, 2020.

 

-Luís Augusto de Mendonça

Defense: 09/03/2020

Current Position: Universidade Federal de Minas Gerais – UFMG. Assistant Professor.

Publicações:

-Klopsch, B.; Mendonça, L.; Petschick, J. M., Free polynilpotent groups and the Magnus property. Forum Mathematicum, v. 35, p. 573-590, 2023.

-Kochloukova, D. H.; Mendonça, L., On the Bieri-Neumann-Strebel-Renz Σ-invariants of the Bestvina-Brady groups. Forum Mathematicum, v. 34, p. 605-626, 2022.

-Kochloukova, D. H.; Mendonça, L., Weak commutativity for pro-p groups. Monatshefte Fur Mathematik, v. 194, p. 555-575, 2021.

-Mendonça, L., Weak commutativity and nilpotency. Journal of Algebra, v. 564, p. 276-299, 2020.

-Mendonça, L., On the Σ-invariants of wreath products. Pacific Journal of Mathematics, v. 298, p. 113-139, 2019.

-Mendonça, L., The weak commutativity construction for Lie algebras. Journal of Algebra, p. 145, 2019.

 

-Daniel Gomes Fadel

Defense: 09/03/2020

Current Position: Universidade Federal do Rio de Janeiro – UFRJ. Assistant Professor.

Publications:

-Fadel, D.; Nagy, A.; Oliveira, G., The asymptotic geometry of G2-monopoles. Memoirs of the American Mathematical Society (artigo aceito).

-Fadel, D. G., Asymptotics of Finite Energy Monopoles on AC 3-Manifolds. Journal of Geometric Analysis, v. 33, p. 17, 2023.

-Fadel, D. G.; Oliveira, G., The limit of large mass monopoles. Proceedings of the London Mathematical Society, v. 119, p. 1531-1559, 2019.

 

-Carlos Augusto Bassani Varea

Defense: 11/03/2020

Current Position: Universidade Tecnológica Federal do Paraná – UTFPR. Assistant Professor.

Publications:

-Ortiz, C.; Varea, C. A. B., Complex Dirac structures with constant real index on flag manifolds. Annali di Matematica Pura ed Applicata (artigo aceito), 2023.

-Quintero, F. V.; Varea, C. A. B., Invariant Generalized Almost Complex Structures on Real Flag Manifolds. The Journal of Geometric Analysis (Online), v. 32, p. 296, 2022.

-Gasparim, E.; Valencia, F.; Varea, C. A. B., Invariant generalized complex geometry on maximal flag manifolds and their moduli. Journal of Geometry And Physics, v. 163, p. 104108, 2021.

-Gasparim, E.; Varea, C.A. B., Aplicações da Teoria de Lie à Geometria Simplética. Boletim da Sociedade Paranaense de Matemática, v. 39, p. 141-161, 2020.

-Varea, C.A. B.; San Martin, L. A. B., Invariant generalized complex structures on flag manifolds. Journal of Geometry And Physics, v. 150, p. 103610, 2020.

-Varea, C. A. B., Invariant generalized complex structures on partial flag manifolds. Indagationes Mathematicae-New Series, v. 31, p. 536-555, 2020.

-Gasparim, E.; Suzuki, B.; Torres-Gomez, A.; Varea, C. A. B., Topological string partition function on generalised conifolds. Journal of Mathematical Physics, v. 58, p. 042303, 2017.

 

-José Vitor Pena

Defense: 26/03/2020

Current Position: No informations

Publications: No informations

 

-Heraclio Ledgar López Lázaro

Defense: 27/03/2020

Current Position: Universidade de São Paulo (ICMC). Post-Doc Position.

Publications:

-López-Lázaro, H. L.; Nascimento, M. J. D.; Rubio, O., Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary. v. 225, Paper No. 113107, 35 pp., 2022.

-López-Lázaro, H. L.; Marín-Rubio, P.; Planas, G., Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity. Journal of Mathematical Fluid Mechanics, v. 23, p. 30, 2021.

 

-Leithold Louis Aurazo Alvarez

Defense: 28/04/2020

Current Position: Universidade Federal do Rio de Janeiro – UFRJ. Post-Doc Position.

Publications:

-Aurazo-Alvarez, L. L., Stationary solutions for the fractional Navier-Stokes-Coriolis system in Fourier-Besov spaces. Journal Of Elliptic and Parabolic Equations, v. 9, p. 441-471, 2023.

-Aurazo-Alvarez, L. L.; Ferreira, L. C. F., Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type. Partial Differential Equations and Applications, v. 2, p. 62, 2021.

 

-Marcos dos Santos Ferreira

Defense: 29/05/2020

Current Position: Universidade Estadual de Santa Cruz – UESC. Assistant Professor.

Publications:

-Ferreira, M S.; Júnior, G. A., Special Conjugations on The Hardy Space. International Journal of Functional Analysis, Operator Theory & Applications, v. 14, p. 19-24, 2022.

-Ferreira, M. S., On the spectrum of complex symmetric Toeplitz operators. Operators and Matrices, v. 16, p. 87-94, 2022.

-Ferreira, M. S., Complex Symmetry of Toeplitz Operators on The Hardy Space of The Polydisk. International Journal of Functional Analysis, Operator Theory & Applications, v. 13, p. 29-44, 2021.
 

-Francisco Javier Vielma Leal

Defense: 14/07/2020

Current Position: Universidad Tecnologica Metropolitana – UTEM, Chile.

Publications:

-Vielma Leal, F. J.; Pastor, A., Exact Controllability and Stabilization for Linear Dispersive PDEs on the Two-Dimensional Torus. Siam Journal on Control And Optimization (artigo aceito), 2023.

-Vielma Leal, F. J.; Pastor, A. Control and stabilization for the dispersion generalized Benjamin equation on the circle. ESAIM-Control Optimisation and Calculus of Variations, v. 28, p. 54, 2022.

-Vielma Leal, F. J.; Pastor, A. Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain. Evolution Equations and Control Theory, v. 11, p. 1745-1773, 2022.

-Capistrano-Filho, R. A.; Kwak, C.; Vielma Leal, F. J., On the control issues for higher-order nonlinear dispersive equations on the circle. Nonlinear Analysis-Real World Applications, v. 68, p. 103695, 2022.

-Panthee, M.; Vielma Leal, F. J., On the controllability and stabilization of the linearized Benjamin equation on a periodic domain. Nonlinear Analysis-Real World Applications, v. 51, p. 102978, 2020.

-Panthee, M.; Vielma Leal, F. J., On the controllability and stabilization of the Benjamin equation on a periodic domain. Annales de L’Institut Henri Poincaré-Analyse Non Lineairé, v. 38, p. 1305-1652, 2020.

 

-Brian David Grajales Triana

Defense: 16/07/2020

Current Position: Universidade Estadual de Campinas – Unicamp. Post-Doc Position.

Publications:

-Grajales, B.; Grama, L., Invariant Einstein metrics on real flag manifolds with two or three isotropy summands. Journal of Geometry and Physics, v. 176, p. 104494, 2022.

-Grajales, B.; Negreiros, C. J. C., Geodesic orbit spaces in real flag manifolds. Communications in Analysis and Geometry, v. 28, p. 1933-2003, 2020.
 

-Gabriel Alexis Rondón Vielma

Defense: 16/09/2020

Current Position: Universitat Autonoma de Barcelona – UAB. Post-Doc Position.

Publications:

-Gouveia, L F. S.; da Silva, P. R.; Rondón, G., Global Phase Portrait and Local Integrability of Holomorphic Systems. Qualitative Theory of Dynamical Systems, v. 22, p. 35, 2023.

-Rondón, G.; Silva, P. R.; Perez, O. H., Slow-Fast Normal Forms Arising from Piecewise Smooth Vector Fields. Journal of Dynamical and Control Systems, v. 1, p. 1-18, 2023.

-Gouveia, Luiz F.S.; Rondón, G.; Silva, P. R., Piecewise holomorphic systems. Journal of Differential Equations, v. 332, p. 440-472, 2022.

-Novaes, D. D., Rondón, G., On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities. Physica D-Nonlinear Phenomena, v. 1, p. 133526, 2022.

-Novaes, D. D.; Rondón, G. Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles. Nonlinearity, v. 34, p. 4202-4263, 2021.
 

-Yury Popov

Defense: 30/09/2020

Current Position: Saint Petersburg State University, Saint Petersburg, Russia.

Publications:

-Popov, Y., Representations of simple noncommutative Jordan superalgebras II. Journal of Pure and Applied Algebra, v. 227, Paper No. 107135, 29 pp., 2023.

-Ignatyev, M.; Kaygorodov, I.; Popov, Y., The geometric classification of 2-step nilpotent algebras and applications. Revista Matemática Complutense, v. 35, p. 907-922, 2022.

-Kaygorodov, I.; Popov, Y.; Pozhidaev, A.; Volkov, Y. Corrigendum to “Degenerations of Zinbiel and nilpotent Leibniz algebras”. Linear and Multilinear Algebra, v. 70, p. 993-995, 2022.

-Gorshkov, I.; Kaygorodov, I.; Popov, Y., Degenerations of Jordan algebras and “marginal” algebras. Algebra Colloquium, v. 28, p. 281-294, 2021.

-Kaygorodov, I.; Khrypchenko, M.; Popov, Y., The algebraic and geometric classification of nilpotent terminal algebras. Journal of Pure and Applied Algebra, v. 225, Paper No. 106625, 41 pp., 2021.

-Popov, Y., Conservative algebras and superalgebras: a survey. Communications in Mathematics, v. 28, p. 231-251, 2020.

-Kaygorodov, I.; Lopes, S. A.; Popov, Y., Degenerations of nilpotent associative commutative algebras. Cummunications in Algebra, v. 48, p. 1632-1639, 2020.

-Popov, Y., Representations of simple noncommutative Jordan superalgebras I. Journal of Algebra, v. 544, p. 329-390, 2020.

-Kaygorodov, I.; Popov, Y., Split regular hom-Leibniz color 3-algebras. Colloquium Mathematicum, v. 157, p. 251-277, 2019.

-Kaygorodov, I.; Popov, Y.; Pozhidaev, A., The universal conservative superalgebra. Communications in Algebra, v. 47, p. 4066-4076, 2019.

-Beites, P. D.; Kaygorodov, I.; Popov, Y., Generalized Derivations of Multiplicative n-Ary Hom-Ω Color Algebras. Bulletin of the Malaysian Mathematical Sciences Society, v. 42, p. 315-335, 2019.

-Kaygorodov, I.; Lopatin, A.; Popov, Y., Separating invariants for 2×2 matrices. Linear Algebra and its Applications, v. 559, p. 114-124, 2018.

-Kaygorodov, I.; Popov, Y.; Pozhidaev, A.; Volkov, Y., Degenerations of Zinbiel and nilpotent Leibniz algebras. Linear and Multilinear Algebra, v. 66, p. 704-716, 2018.

-Kaygorodov, I.; Lopatin, A.; Popov, Y.. The Structure of Simple Noncommutative Jordan Superalgebras. Mediterranean Journal of Mathematics, v. 15, p. 33, 2018.

-Kaygorodov, I.; Popov, Y.; Volkov, Y., Degenerations of binary Lie and nilpotent Malcev algebras. Communications in Algebra, v. 46, p. 1-13, 2018.

-Kaygorodov, I.; Popov, Y.; Pozhidaev, A.; Volkov, Y., Degenerations of Zinbiel and nilpotent Leibniz algebras. Linear & Multilinear Algebra, v. 65, p. 1-13, 2018.

-Kaygorodov, I.; Lopatin, A.; Popov, Y.. Jordan algebras admitting derivations with invertible values. Communications in Algebra, v. 46, p. 69-81, 2017.
 

-Elizeu Cleber dos Santos França

Defense: 30/10/2020

Current Position: Universidade Federal de Rondonópolis – UFR. Assistant Professor.

Publications:

-França, E., Pointwise Periodic Flows Induced by Circle Actions. Bulletin of the Brazilian Mathematical Society, v. 54, p. 2, 2023.
 

-Hugo Alberto Galeano Anaya

Defense: 16/11/2020

Current Position: Universidad de Córdoba, Colômbia.

Publications:

-Galeano, H.; Jardim, M.; Muniz, A., Codimension one distributions of degree 2 on the three-dimensional projective space. Journal of Pure and Applied Algebra, v. 226, p. 106840, 2021.

 

-Sergio Andres Cordoba Pareja

Defense: 17/12/2020

Current Position: Universidad del Cauca (Colômbia).

Publications:

-Córdoba, S. A.; Tozoni, S. A., Estimates for n-widths of multiplier operators of multiple Walsh series. Journal of Mathematical Analysis and Applications, v. 479, p. 1292-1323, 2019.

 

-Lino Ramada Ferreira Junior

Defense: 22/12/2020

Current Position: No informations

Publications: No informations

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