Publications of the PhD Alumni 2018

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-  Leomaques Francisco Silva Bernardo 

Defense: 23/02/2018

Current Position: Universidade Federal de Campina Grande - UFCG. Assistant Professor.

Publicações:

-Fidelis, C.; Diniz, D.; Bernanrdo, L.; Koshlukov, P.,  Graded Identities and Central Polynomials for the Verbally Prime Algebras. Algebra s and Representation Theory, v. 1, p. 1-27, 2021.

 

-  Vladimir Angulo Castillo 

Defense: 28/02/2018

Current Position: Universidad Nacional de Colombia - UNAL (Bogotá). Assistant Professor.

Publicações: 

-Angulo-Castillo, V.; Chalco-Cano, Y.; Villamizar-Roa, E. J., Applications of generalized fixed points theorems to the existence of uncertainly hyperbolic partial differential equations with finite delay. Computational and Applied Mathematics, v. 41, n. 4,  Paper No. 182, 2022.

-Angulo-Castillo, V.; Ferreira, L. C. F., Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations. Discrete and Continuous Dynamical Systems Series B, v. 25, n. 12, p. 4553-4573, 2020.

-Angulo-Castillo, Chalco-Cano, Y.; Khastan, A.; Villamizar-Roa, E. J. V., Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay. Iranian Journal of Fuzzy Systems, v. 17, n. 6, p. 1-15, 2020.

-Angulo-Castillo, V.; Ferreira, L. C. F.; Kosloff, L., Long-time solvability for the 2D dispersive SQG equation with improved regularity. Discrete and Continuous Dynamical Systems, v. 40, n. 3, p. 1411-1433, 2020.

-Ferreira, L. C. F.; Angulo-Castillo, V., Global well-posedness and asymptotic behavior for Navier-Stokes-Coriolis equations in homogeneous Besov spaces. Asymptotic Analysis, v. 112, no. 1-2, p. 37-58, 2019.

-Angulo-Castillo, V.; Ferreira, L. C. F., On the 3D Euler equations with Coriolis force in borderline Besov spaces. Communications in Mathematical Sciences, v. 16, n. 1, p. 145-164, 2018.

 

- Aline Vilela Andrade

Defense: 02/03/2018

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

Publicações:

-Andrada, A. V.; Marchesi, S.; Miro-Roig, R. M., Irreducibility of the moduli space of orthogonal instanton bundles on P^n. Revista Matematica Complutense, v. 33, p. 271-294, 2020.

-Almeida,  C.; Andrada, A. V.; Miro-Roig, R. M., Gaps in the number of generators of monomial Togliatti systems. Journal of Pure and Applied Algebra, v. 223, n. 4, p. 1817-1831, 2019..

-Almeida,  C.; Andrada, A. V., Lefschetz property and powers of linear forms in 𝕂[x,y,z]. Forum Mathematicum, v. 30, p. 857-865, 2017.

 

- Stephanie Akemi Raminelli

Defense: 16/05/2018

Current Position: No information

Publicações:

-Lima, D. V.; Ramanelli, S. A., de Rezende, K. A., Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows. Journal of Singularities, v. 23, p. 33-91, 2021.

 

-  Felipe Yukihide Yasumur 

Defense: 06/12/2018

Current Position:  Universidade de São Paulo - USP. Assistant Professor.

Publicações: 

-Yasumura, F., Universal enveloping of a graded Lie algebra. Linear Algebra and its Applications, v. 674, p. 208-229, 2023.

-Yasumura, F., Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3. Communications in Algebra, v. 51, p. 2293-2307, 2023.

-da Fonseca, L. S.;Santulo Jr. E.; Yasumura, F., Degree-inverting involution on full square and triangular matrices. Linear & Multilinear Algebra, v. 70, p. 1980-1994, 2022.

-Hitomi, E.; Yasumura, F., On the combinatorics of commutators of Lie algebras.   Journal of Algebra and its Applications, v. 19, p. 2050119, 2020.

-Santulo Jr. E.; Souza, J.; Yasumura, F., Group gradings on finite dimensional incidence algebras. Journal of Algebra, v. 544, p. 302-328, 2020.

-Centrone, L.; Yasumura, F., Actions of Taft's algebras on finite dimensional algebras. Journal of Algebra, v. 560, p. 725-744, 2020.

-Bahturin, Y.; Yasumura, F., Graded polynomial identities as identities of universal algebras. Linear Algebra and its Applications, v. 562, p. 1-14, 2019.

-Bahturin, Y.; Yasumura, F., Distinguishing simple algebras by means of polynomial identities. São Paulo Journal of Mathematical Sciences, v. 13, p. 39-72, 2019.

-Fidelis, C.; Gonçalves, D. J.; Diniz, D.; Yasumura, F., Graded involutions on block-triangular matrix algebras. Linear Algebra and its Applications, v. 585, p. 24-44, 2019.

-Kochetov, M; Yasumura, F., Group gradings on the Lie and Jordan algebras of block-triangular matrices. Journal of Algebra, v. 537, p. 147-172, 2019.

-Yasumura, F.; Koshlukov, P., Asymptotics of graded codimension of upper triangular matrices. Israel Journal of Mathematics, v. 223, p. 423-439, 2018.

-Yasumura, F., Group gradings on upper block triangular matrices. Archiv der Mathematik, v. 110, p. 327-332, 2018.

-Koshlukov, P.; Yasumura, F., Elementary gradings on the Lie algebra. Journal of Algebra, v. 473, p. 66-79, 2017.

-Koshlukov, P.; Yasumura, F., Group gradings on the Lie algebra of upper triangular matrices. Journal of Algebra, v. 477, p. 294-311, 2017.

-Koshlukov, P.; Yasumura, F., Group gradings on the Jordan algebra of upper triangular matrices. Linear Algebra and its Applications, v. 534, p. 1-12, 2017.

-Hitomi, E.; Koshlukov, P.; Yasumura, F., Group gradings on the Lie and Jordan algebras of upper triangular matrices. São Paulo Journal of Mathematical Sciences, v. 11, p. 326-347, 2017.

 

- Francisco Vieira de Oliveira

Defense: 10/12/2018

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

Publicações:

-Oliveira, F. V., On the stability of invariant almost complex structures on flag manifolds. Journal of Geometry and Physics, v. 166, p. 104264, 2021.

 

- Robson Ricardo de Araújo

Defense: 14/12/2018

Current Position: Instituto Federal de São Paulo - IFSP.  "EBTT Professor".

Publicações:
 

-Araújo, R. R. An upper bound on the covering radius of the logarithmic lattice for cyclotomic number fields. Discrete Mathematics, v. 347, p. 113665, 2024.

-Ortiz, J. N.; Araújo, R. R.; Aranha, D. F.; Costa, S. I. R.; Dahab, R., The Ring-LWE Problem in Lattice-Based Cryptography: The Case of Twisted Embeddings. Entropy, v. 23, p. 1108, 2021.

-Araújo, R. R.; Jorge, G. C., Constructions of full diversity D_n-lattices for all n. Rocky Mountain Journal of Mathematics, v. 50, p. 1137-1150, 2020.

-Araújo, R. R.; Chagas, A. C. M. M.; Andrade, A. A.; Nóbrega Neto, T. P., Trace form associated to cyclic number fields of ramified odd prime degree. Journal of Algebra and its Applications, v. 19, p. 2050080, 2020.

-Andrade, A. A.; Ferrari, A. J.; Interlando, J.  C.; Araújo, R. R., Constructions of Dense Lattices of Full Diversity. Têndencias em Matemática Aplicada e Computacional, v. 21, p. 299, 2020.

-Andrade, A. A.; Ferrari, A. J.; Interlando, J.  C.; Araújo, R. R., Constructions of Dense Lattices over Number Fields. Têndencias em Matemática Aplicada e Computacional, v. 21, p. 57, 2020.

-Ferrari, A. J.; Andrade, A. A.; Araújo, R. R.; Interlando, J.  C., Trace forms of certain subfields of cyclotomic fields and applications. Journal of Algebra Combinatorics Discrete Structures and Applications, v. 7, p. 143-162, 2020.

-Araujo, R. R.; Costa, S. I. R.,Well-Rounded Algebraic Lattices in Odd Prime Dimension. Archiv der Mathematik, v. 112, p. 139-148, 2018.

 

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