Publicaciones (últimos 5 años):

• Aicardi, Francesca; Arcis, Diego; Juyumaya, Jesús Brauer and Jones tied monoids. J. Pure Appl. Algebra 227 (2023), no. 1, Paper No. 107161, 25 pp.
• Arcis, Diego; Juyumaya, Jesús Tied monoids. Semigroup Forum 103 (2021), no. 2, 356–394.
• Aicardi, Francesca; Juyumaya, Jesús Kauffman type invariants for tied links. Math. Z. 289 (2018), no. 1-2, 567–591.
• Aicardi, F.; Juyumaya, J. Tied links and invariants for singular links. Adv. Math. 381 (2021), 107629, 39 pp. 57K10
• Aicardi, F.; Juyumaya, J. Two parameters bt-algebra and invariants for links and tied links. Arnold Math. J. 6 (2020), no. 1, 131–148.

• Chlouveraki, Maria; Juyumaya, Jesús; Karvounis, Konstantinos; Lambropoulou, Sofia Identifying the invariants for classical knots and links from the Yokonuma-Hecke algebras. Int. Math. Res. Not. IMRN 2020, no. 1, 214–286.
• Flores, Marcelo; Juyumaya, Jesús; Lambropoulou, Sofia A framization of the Hecke algebra of type B. J. Pure Appl. Algebra 222 (2018), no. 4, 778–806.
• Goundaroulis, Dimos; Juyumaya, Jesús; Kontogeorgis, Aristides; Lambropoulou, Sofia Framization of the Temperley-Lieb algebra. Math. Res. Lett. 24 (2017), no. 2, 299–345.

• Aicardi, Francesca; Juyumaya, Jesús. Tied links. J. Knot Theory Ramifications 25 (2016), no. 9, 1641001, 28 pp.

 

• Aicardi, Francesca; Juyumaya, Jesús. Markov trace on the algebra of braids and ties. Mosc. Math. J. 16 (2016), no. 3, 397–431.

 

• Juyumaya, Jesús; Lambropoulou, Sofia. On the framization of knot algebras. New ideas in low dimensional topology, 297–333, Ser. Knots Everything, 56, World Sci. Publ., Hackensack, NJ, 2015.

 

• Goundaroulis, D.; Juyumaya, J.; Kontogeorgis, A.; Lambropoulou, S. The Yokonuma-Temperley-Lieb algebra. Knots in Poland III. Part III, 77–99, Banach Center Publ., 103, Polish Acad. Sci. Inst. Math., Warsaw, 2014.

 

• Juyumaya, Jesús; Lambropoulou, Sofia p-adic framed braids II. With an appendix by Paul Gérardin. Adv. Math. 234 (2013), 149–191.

Proyectos (últimos 5 años):

 

• Protecto FONDECYTl Nª1141254, "Knot invariants from the Yokonuma-Hecke algebra – The algebra of braids and ties". Investigador principal. (2014-2016)
• Interfaces among knot theory and the algebras of Yokonuma-Hecke and the bt-algebra, FONDECYT Regular 1180036, 3 años, 2018. Investigador Principal

Apuntes de cursos:

 

• Álgebra Lineal, Pedagogía/Licenciatura en Matemáticas.
• Invariantes de nudos polinomiales, Magíster en Matemáticas

 

Cursos dictados regularmente:

 

• Álgebra Lineal
• Álgebra Multilineal
• Anillos y Módulos