Academic production
Dissertations defended
In the link below, all defended dissertations are available with a link to the full text provided by the Digital Library of Theses and Dissertations of UFES.
Published Research
The research published within the scope of PPGMAT-UFES reflects the program's commitment to academic excellence and scientific innovation. Covering a wide range of topics within its areas of research, these publications stand out for their theoretical depth and practical relevance. With significant contributions from faculty members and alumni, PPGMAT-UFES aims to promote the advancement of mathematical knowledge, fostering the integration of research, teaching, and society. In the 2021-2024 period, 81 scientific articles were published in indexed journals, with a significant distribution in high-ranking Qualis CAPES categories and the quartiles of the Scimago Journal Rank (SJR).
The distribution of articles by Qualis CAPES highlights the predominance of publications in the highest strata. Throughout the period, 55.6% of the scientific articles produced by the program were classified in the A strata (A1-A4), representing the journals with the greatest impact and academic rigor in the field.
Of this group, 3 articles were published in A1 journals, the highest classification, indicating their relevance and high impact factor. Additionally, 14 articles belong to Qualis A2, while the A3 and A4 strata account for 16 and 12 articles, respectively, consolidating the program's presence in prominent journals.
In the B strata (B1-B3), 17 articles (20.9%) were published, while the C stratum, representing publications with lesser reach in the CAPES evaluation, had 5 publications (6.2%). Furthermore, 14 articles (17.3%) still do not have a defined Qualis classification, either because they were recently published or because they belong to journals that were not evaluated in the latest classification.
The distribution of articles by Scimago quartile (2023) reflects the quality and international impact of the program's scientific publications. We observe that 71.6% of the articles were published in journals ranked in the Q1 and Q2 quartiles, which represent the most prestigious and impactful journals in their respective fields.
Among these publications, 27 articles (33.3%) belong to Q1, the highest quartile in Scimago, including the journals with the highest impact factor and editorial rigor. Additionally, 31 articles (38.3%) are in Q2, indicating that the majority of the program’s output is featured in well-positioned and highly cited journals.
In the following quartiles, 11 articles (13.6%) were published in journals classified as Q3, while 3 articles (3.7%) are in Q4, which includes publications with relatively lower impact. Finally, 9 articles (11.1%) were not found in the Scimago Journal Rank, either because they belong to non-indexed journals or are still under evaluation.
The high concentration of articles in the top Scimago strata (Q1 and Q2) reflects the excellence and international recognition of the program's scientific production. These data indicate that the research developed not only meets the quality standards required by funding and academic evaluation agencies but also has a significant impact within the global scientific community.
In addition to the impressive bibliographic output, the program’s impact can be measured by the active participation of its faculty members in high-level scientific events, reflecting the recognition of the quality of the research conducted. During the evaluated period, 80 presentations were made at national and international conferences and congresses, ranging from oral communications to invited lectures and presentations at high-visibility plenary sessions.
Below is the list of publications associated with the program in the 2021-2024 period:
Brayan Ferreira Cuzzuol
FERREIRA, BRAYAN. "Elliptic Reeb orbit on some real projective three-spaces via ECH." Revista Matemática Iberoamericana, v. 40, p. 1833-1862, 2024.
FERREIRA, BRAYAN; RAMOS, VINICIUS G. B. "Symplectic embeddings into disk cotangent bundles." Journal of Fixed Point Theory and Applications, v. 24, p. 62, 2022.
Carolina de Miranda e Pereiro
CASTELUBER LAASS, VINICIUS; DE MIRANDA E PEREIRO, CAROLINA. "The Borsuk-Ulam Theorem for n-valued maps between surfaces." Geometriae Dedicata, v. 218, p. 1-18, 2024.
DE MIRANDA E PEREIRO, CAROLINA; SGOBBI, WAGNER CARVALHO. "The BNS invariants of the braid groups and pure braid groups of some surfaces." Communications in Algebra, v. 1, p. 1-25, 2024.
LIMA GONÇALVES, DACIBERG; GUASCHI, JOHN; OCAMPO, OSCAR; DE MIRANDA E PEREIRO, CAROLINA. "Crystallographic groups and flat manifolds from surface braid groups." Topology and Its Applications, v. 293, p. 107560, 2021.
Daniela Paula Demuner
Bonotto, E. M.; Demuner, D. P.; SOUTO, G. M. "Recursiveness on impulsive dynamical systems: minimality, non-wandering points, the center of Birkhoff and attractors." Journal of Differential Equations, v. 410, p. 46-75, 2024.
Fabiano Petronetto do Carmo
COL, ALCEBIADES DAL; Petronetto, Fabiano; DE OLIVEIRA NETO, JOSÉ R.; LIMA, JULIANO B. "Windowed hypergraph Fourier transform and vertex-frequency representation." Signal Processing, v. 223, p. 109538, 2024.
COL, ALCEBIADES DAL; Petronetto, Fabiano. "Graph regularization centrality." Physica A-Statistical Mechanics and Its Applications, v. 628, p. 129188, 2023.
DAL COL, A. J.; PETRONETTO, F. "Graph regularization multidimensional projection." Pattern Recognition, v. 129, p. 108690, 2022.
Fabio Julio da Silva Valentim
ALEXANDRE B. SIMAS; VALENTIM, FÁBIO J. "Homogenization of a Generalized Second-Order Differential Operator." Matemática Contemporânea, v. 52, p. 146-161, 2022.
Fernando Pereira Paulucio Reis
ALVARENGA, NATÁLIA M.; CAVALCANTI, ERICH; LINHARES, CESAR A.; LOURENÇO, JOSÉ ANDRÉ; MAHON, JOSÉ ROBERTO P.; REIS, FERNANDO P. P. "Instantons and Transseries of the Mathieu Potential Deformed by a mathcalPmathcalTmathcal{P}mathcal{T}mathcalPmathcalT Symmetry Parameter." Brazilian Journal of Physics, v. 54, p. 1-13, 2024.
REIS, F. P. P.; SCARDUA, B. "On the Integrability of Hill’s Equation of the Motion of the Moon." Journal of Mathematics and Statistics Research, v. 5, p. pubtexto.com, 2023.
Reis, Fernando; RIBEIRO, MAICO FELIPE; DA SILVA, EURIPEDES. "Topology of first integrals via Milnor fibrations." Matemática Contemporânea, v. 53, p. 5-22, 2023.
LOURENCO, F.; Reis, Fernando. "A brief survey on residue theory of holomorphic foliations." Matemática Contemporânea, v. 53, p. mc.sbm.org.br-212, 2023.
E.C da Silva; REIS, F. P. P.; SOUZA, D. "Characterization of totally geodesic foliations with integrable and parallelizable normal bundle." Glasgow Mathematical Journal, p. 1-10, 2022.
REIS, F. P. P.; SCARDUA, B. "On germs of holomorphic foliations admitting sectorial first integrals." Boletín de la Sociedad Matemática Mexicana (Online), v. 27, p. 33-52, 2021.
Ginnara Mexia Souto
BONOTTO, E.M.; DEMUNER, D.P.; SOUTO, G.M. "Recursiveness on impulsive dynamical systems: Minimality, non-wandering points, the center of Birkhoff and attractors." Journal of Differential Equations, v. 410, p. 46-75, 2024.
João Paulo Costalonga
COSTALONGA, J. P.; REID, T. J.; WU, H. "Rooted Prism-Minors and Disjoint Cycles Containing a Specified Edge." Electronic Journal of Combinatorics, v. 30, p. P2.38, 2023.
COSTALONGA, J. P.; KINGAN, S. R. "N-Critical Matroids." Graphs and Combinatorics, v. 37, p. 797-803, 2021.
COSTALONGA, J. P.; KINGAN, R. J.; KINGAN, S. R. "Constructing Minimally 3-Connected Graphs." Algorithms, v. 14, p. 9, 2021.
José Victor Goulart Nascimento
GOULART, VICTOR; SALDANHA, NICOLAU C. "Stratification of Spaces of Locally Convex Curves by Itineraries." Bulletin of the Brazilian Mathematical Society, v. 54, p. 47, 2023.
GOULART, VICTOR; SALDANHA, NICOLAU C. "Locally convex curves and the Bruhat stratification of the spin group." Israel Journal of Mathematics, v. 242, p. 565-604, 2021.
Leonardo Meireles Câmara
CÂMARA, L. M.; RUAS, M. A. S. "On the Moduli Space of Quasi-Homogeneous Functions." Bulletin of the Brazilian Mathematical Society, v. 53, p. 895-908, 2022.
Maico Felipe Silva Ribeiro
Maico Ribeiro, Ivan Santamaria, Thiago da Silva. "Some remarks about rho-regularity for real analytic maps." Research in the Mathematical Sciences, v. 11, p. 00-00, 2024.
Maico F. Ribeiro, T. F. Silva, L. O. Nery. "Poincaré duality and the existence of exotic structures on n-spheres." Latin American Journal of Mathematics, v. 2, p. 58-98, 2023.
Maico F. Ribeiro, Raimundo N. Araújo dos Santos, Daniel Dreibelbis, M. Griffin. "Harmonic morphisms and their Milnor fibrations." Annali di Matematica Pura ed Applicata, v. 202, p. 2035-2048, 2023.
Fernando P. P. Reis, Maico F. Ribeiro, E. C. Silva. "Topology of first integrals via Milnor Fibrations." Matemática Contemporânea, v. 53, p. 5-22, 2023.
Thiago da Silva, Maico F. Ribeiro. "Universally injective and integral contractions on relative Lipschitz saturation of algebras." Journal of Algebra, v. 662, p. 902-922, 2024.
Renato Fehlberg Júnior
NETO, PAULO MENDES CARVALHO; JÚNIOR, RENATO FEHLBERG. "The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces II." Fractional Calculus and Applied Analysis, v. 27, p. 1348-1368, 2024.
FEHLBERG JÚNIOR, RENATO; Kaygorodov, Ivan. "On the Kantor product, II." Carpathian Mathematical Publications, v. 14, p. 543-563, 2022.
JÚNIOR, RENATO FEHLBERG; Kaygorodov, Ivan; KUSTER, CRISLAINE. "The algebraic and geometric classification of antiassociative algebras." Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, v. 116, p. 78, 2022.
ALVAREZ, MARÍA ALEJANDRA; FEHLBERG JÚNIOR, RENATO; Kaygorodov, Ivan. "The algebraic and geometric classification of Zinbiel algebras." Journal of Pure and Applied Algebra, v. 226, p. 107106, 2022.
NETO, PAULO MENDES DE CARVALHO; JÚNIOR, RENATO FEHLBERG. "The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces I." Communications on Pure and Applied Analysis, v. 21, p. 3667-3700, 2022.
FEHLBERG JÚNIOR, RENATO; Sánchez, Javier. "On free subalgebras of varieties." Proceedings of the Edinburgh Mathematical Society, v. 65, p. 89-101, 2022.
Thiago Filipe da Silva
GAFFNEY, T.; da Silva, T. "The generic equivalence among the Lipschitz saturations of a sheaf of modules." Research in the Mathematical Sciences, v. 11, p. 32, 2024.
RIBEIRO, M.; SANTAMARIA, I.; da Silva, T. "Some remarks about ρ−regularity for real analytic maps." Research in the Mathematical Sciences, v. 11, p. 40, 2024.
GAFFNEY, T.; da Silva, T. "Infinitesimal Lipschitz conditions on a family of analytic varieties: genericity and necessity." São Paulo Journal of Mathematical Sciences, v. S, p. 1, 2024.
DA SILVA, THIAGO; RIBEIRO, MAICO. "Universally injective and integral contractions on relative Lipschitz saturation of algebras." Journal of Algebra, v. 662, p. 902-922, 2024.
DA SILVA, THIAGO; SCHULTZ NETTO, GUILHERME. "A survey on relative Lipschitz saturation of algebras and its relation with radicial algebras." Latin American Journal of Mathematics, v. 3, p. 1-18, 2024.
da Silva, T. F. "Categorical aspects of Gaffney's double structure of a module." Matemática Contemporânea, v. 53, p. 213-232, 2023.
OLIVEIRA, L. N.; RIBEIRO, M.; da Silva, T. "Poincaré duality and the existence of exotic structures on n-spheres." Latin American Journal of Mathematics, v. 2, p. 58-98, 2023.
Wescley Bonomo
BONOMO, WESCLEY; LIMA, HEIDES; VARANDAS, PAULO. "Shape and stability of rotation sets for incompressible flows on the torus." Israel Journal of Mathematics, v. TBD, p. 1-40, 2024.
BONOMO, WESCLEY; ROCHA, JORGE; VARANDAS, PAULO. "Discrete symmetries of smooth flows and their time-t maps." Journal of Mathematical Analysis and Applications, v. 239, p. 128534, 2024.
BONOMO, WESCLEY; ROCHA, JORGE; VARANDAS, PAULO. "Symmetries of CrC^rCr-vector Fields on Surfaces." Bulletin Brazilian Mathematical Society (Online), v. 54, p. 45, 2023.
BONOMO, WESCLEY; LIMA, HEIDES; VARANDAS, PAULO. "The rotation sets of most volume preserving homeomorphisms on mathbbTd{mathbb{T}^d}mathbbTd are stable, convex and rational polyhedrons." Israel Journal of Mathematics, v. 243, p. 81-102, 2021.
Ivan Kaygorodov
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. "Transposed Poisson structures on the Lie algebra of upper triangular matrices." Portugaliae Mathematica, v. 81, p. 135-149, 2024.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. "Transposed Poisson structures on Lie incidence algebras." Journal of Algebra, v. 647, p. 458-491, 2024.
DAMAS BEITES, PATRÍCIA; FERREIRA, BRUNO LEONARDO MACEDO; KAYGORODOV, IVAN. "Transposed Poisson Structures." Results in Mathematics, v. 79, p. 93, 2024.
KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. "Transposed Poisson structures on solvable and perfect Lie algebras." Journal of Physics A-Mathematical and Theoretical, v. 57, p. 035205, 2024.
CALDERÓN MARTÍN, ANTONIO JESÚS; FERNÁNDEZ OUARIDI, AMIR; KAYGORODOV, IVAN. "Non-degenerate evolution algebras." Journal of Pure and Applied Algebra, v. 228, p. 107594, 2024.
ABDURASULOV, KOBILJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. "The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras." Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, v. 118, p. 34, 2024.
GUO, XUELIAN; KAYGORODOV, IVAN; TANG, LIMING. "Maps on the Mirror Heisenberg-Virasoro Algebra." Mathematics, v. 12, p. 802, 2024.
KAYGORODOV, IVAN. "Transposed Poisson structures on Galilean and solvable Lie algebras." Journal of Geometry and Physics, v. 187, p. 104781, 2023.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. "Transposed Poisson structures on Witt type algebras." Linear Algebra and Its Applications, v. 665, p. 196-210, 2023.
ABDURASULOV, KOBILJON; ADASHEV, JOBIR; KAYGORODOV, IVAN. "Maximal Solvable Leibniz Algebras with a Quasi-Filiform Nilradical." Mathematics, v. 11, p. 1120, 2023.
KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR; ABDURASULOV, KOBILJON. "The Algebraic Classification of Nilpotent Bicommutative Algebras." Mathematics, v. 11, p. 777, 2023.
BEITES, PATRÍCIA DAMAS; OUARIDI, AMIR FERNÁNDEZ; KAYGORODOV, IVAN. "The algebraic and geometric classification of transposed Poisson algebras." Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, v. 117, p. 55, 2023.
BENAYADI, SAÏD; KAYGORODOV, IVAN; MHAMDI, FAHMI. "Symmetric Zinbiel superalgebras." Communications in Algebra, v. 51, p. 224-238, 2023.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. "Transposed Poisson structures on Block Lie algebras and superalgebras." Linear Algebra and Its Applications, v. 656, p. 167-197, 2023.
KAYGORODOV, IVAN. "Non-associative algebraic structures: classification and structure." Communications in Mathematics, v. 32, Issue 3, p. 1, 2023.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA; LOPES, SAMUEL A. "The geometric classification of nilpotent algebras." Journal of Algebra, v. 633, p. 857-886, 2023.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. "Transposed Poisson Structures on Generalized Witt Algebras and Block Lie Algebras." Results in Mathematics, v. 78, p. 186, 2023.
KAYGORODOV, IVAN; VOLKOV, YURY. "Degenerations of noncommutative Heisenberg algebras." Communications in Algebra, v. 51, p. 4204-4213, 2023.
KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR; ABDURASULOV, KOBILJON. "The algebraic classification of nilpotent Novikov algebras." Filomat, v. 37, p. 6617, 2023.
CAMACHO, LUISA; KAYGORODOV, IVAN; OUARIDI, A. F.; NAVARRO, ROSA. "Zinbiel superalgebras." New York Journal of Mathematics, v. 29, p. 1341, 2023.
MASHUROV, FARUKH; KAYGORODOV, IVAN. "One-generated nilpotent assosymmetric algebras." Journal of Algebra and Its Applications, v. 21, p. 2250031, 2022.
FERNÁNDEZ OUARIDI, AMIR; KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA; VOLKOV, YURY. "Degenerations of nilpotent algebras." Journal of Pure and Applied Algebra, v. 226, p. 106850, 2022.
JÚNIOR, RENATO FEHLBERG; KAYGORODOV, IVAN; KUSTER, CRISLAINE. "The algebraic and geometric classification of antiassociative algebras." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Serie A-Matemáticas, v. 116, p. 78, 2022.
JUMANIYOZOV, DOSTON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. "The geometric classification of nilpotent commutative mathfrakCDmathfrak {CD}mathfrakCD-algebras." Bollettino Della Unione Matematica Italiana, v. 15, p. 465-481, 2022.
FEHLBERG JÚNIOR, R.; KAYGORODOV, I. "On the Kantor product, II." Carpathian Mathematical Publications, v. 14, p. 543-563, 2022.
KAYGORODOV, IVAN; PÁEZ-GUILLÁN, PILAR; VORONIN, VASILY. "One-Generated Nilpotent Bicommutative Algebras." Algebra Colloquium, v. 29, p. 453-474, 2022.
KAYGORODOV, I.; ISMAILOV, N.; MUSTAFA, M. "The algebraic and geometric classification of nilpotent right alternative algebras." Periodica Mathematica Hungarica, v. 84, p. 18-30, 2021.
KAYGORODOV, I.; FERREIRA, B. L. M.; GUZZO JR, H. "Local and 2-local derivations of simple n-ary algebras." Ricerche di Matematica, v. 73, p. 341-350, 2021.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA; POPOV, YURY. "The algebraic and geometric classification of nilpotent terminal algebras." Journal of Pure and Applied Algebra, v. 225, p. 106625, 2021.
KAYGORODOV, IVAN; ZUSMANOVICH, PASHA. "On anticommutative algebras for which a derivation is a derivation." Journal of Geometry and Physics, v. 163, p. 104113, 2021.
ADASHEV, JOBIR; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR; SATTAROV, ALOBERDI. "The Algebraic and Geometric Classification of Nilpotent Right Commutative Algebras." Results in Mathematics, v. 76, p. 24, 2021.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. "The geometric classification of nilpotent -𝔇-algebras." Journal of Algebra and Its Applications, v. 20, p. 2150198, 2021.
KAYGORODOV, I.; LOPES, S.; MASHUROV, F. "Actions of the additive group on certain noncommutative deformations of the plane." Communications in Mathematics, v. 29, p. 269-279, 2021.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. "Poisson structures on finitary incidence algebras." Journal of Algebra, v. 578, p. 402-420, 2021.
ALVAREZ, MARÍA ALEJANDRA; KAYGORODOV, IVAN. "The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras." Journal of Algebra, v. 588, p. 278-314, 2021.
JUMANIYOZOV, DOSTON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. "The algebraic classification of nilpotent commutative algebras." Electronic Research Archive, v. 29, p. 3909, 2021.
KAYGORODOV, IVAN; ALVAREZ, MARÍA ALEJANDRA; MELLO, THIAGO CASTILHO DE. "Central extensions of 3-dimensional Zinbiel algebras." Ricerche di Matematica, v. 72, p. 921-947, 2021.
KAYGORODOV, I.; GUZZO JR, H.; FERREIRA, B. L. M. "Lie maps on alternative rings preserving idempotents." Colloquium Mathematicum, v. 166, p. 227-238, 2021.
IGNATIEV, M.; KAYGORODOV, I.; POPOV, YU. "The geometric classification of 2-step nilpotent algebras and applications." Revista Matematica Complutense, v. 35, p. 907-922, 2021.
FERREIRA, BRUNO LEONARDO MACEDO; KAYGORODOV, IVAN; LOPATKIN, VIKTOR. "rac12rac{1}{2}rac12-derivations of Lie algebras and transposed Poisson algebras." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Serie A-Matemáticas, v. 115, p. 142, 2021.
ADASHEV, JOBIR; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR; SATTAROV, ALOBERDI. "The algebraic and geometric classification of nilpotent left-symmetric algebras." Journal of Geometry and Physics, v. 167, p. 104287, 2021.
GORSHKOV, ILYA; KAYGORODOV, IVAN; POPOV, YURY. "Degenerations of Jordan Algebras and -Marginal- Algebras." Algebra Colloquium, v. 28, p. 281-294, 2021.
KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA; LOPES, SAMUEL A. "The algebraic classification of nilpotent algebras." Journal of Algebra and Its Applications, v. 21, p. 1-2, 2021.
