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Jesús Juyumaya

Titulos o Grados:

  • Doctor en Ciencias Mención Matemática, Universidad de Chile.
  • Magíster en Matemáticas, Pontificia Universidad Católica de Valparaíso.

Jerarquia

Profesor Titular

Áreas de Interés:

  • Álgebra (representaciones de grupos finitos, álgebras de Hecke).
  • Topologia en bajas dimensiones (teoría de Nudos, grupo de trenzas).
Publicaciones
  1. Aicardi, F., Juyumaya, J., & Papi, P. (2025). Framization and Deframization. Algebr. Represent. Theor., 28, 1469–1506.
  2. Juyumaya, J. (2025). A visit in Valparaíso. J. Knot Theory Ramifications, 34(3), Paper No. 2340028.
  3. Aicardi, F., Arcis, D., & Juyumaya, J. (2024). Ramified inverse and planar monoids. Moscow Math. Journal, 24(3), 321–355.
  4. Aicardi, F., Arcis, D., & Juyumaya, J. (2023). Brauer and Jones tied monoids. J. Pure Appl. Algebra, 227(1), Paper No. 107161.
  5. Cisneros, B., Flores, M., Juyumaya, J., & Roque-Márquez, C. (2022). An Alexander type invariant for doodles. J. Knot Theory Ramifications, 31(13), Paper No. 2250090.
  6. Arcis, D., & Juyumaya, J. (2021). Tied Monoids. Semigroup Forum, 103(2), 356-394.
  7. Aicardi, F., & Juyumaya, J. (2021). Tied links and invariants for singular links. Adv. Math., 381, Paper No. 107629.
  8. Aicardi, F., & Juyumaya, J. (2020). Two parameters bt-algebra and invariants for links and tied links. Arnold Math. J., 6(1), 131-148.
  9. Chlouveraki, M., Juyumaya, J., Karvounis, K., & Lambropoulou, S. (2020). Identifying the invariants for classical knots and links from the Yokonuma-Hecke algebras. Int. Math. Res. Not. IMRN, 2020(1), 214–286.
  10. Aicardi, F., & Juyumaya, J. (2018). Kauffman type invariants for tied links. Math. Z., 289(1–2), 567–591.
  11. Flores, M., & Juyumaya, J. (2018). A Framization of the Hecke algebra of Type B. J. Pure Appl. Algebra, 222(4), 778–806.
  12. Goundaroulis, D., Juyumaya, J., Kontogeorgis, A., & Lambropoulou, S. (2017). Framization of the Temperley-Lieb algebra. Math. Res. Lett., 24(2), 299–345.
  13. Aicardi, F., & Juyumaya, J. (2016). Tied links. J. Knot Theory Ramifications, 25(9), 1641001.
  14. Aicardi, F., & Juyumaya, J. (2016). Markov trace on the algebra of braids and ties. Mosc. Math. J., 16(3), 397–431.
  15. Juyumaya, J., & Lambropoulou, S. (2015). On the framization of knot algebras. In New ideas in low dimensional topology (pp. 297–333). Ser. Knots Everything, 56, World Sci. Publ.
  16. Goundaroulis, D., Juyumaya, J., Kontogeorgis, A., & Lambropoulou, S. (2014). The Yokonuma-Temperley-Lieb algebra. In Knots in Poland III. Part III (pp. 77–99). Banach Center Publ., 103, Polish Acad. Sci. Inst. Math.
  17. Juyumaya, J., & Lambropoulou, S. (2013). $p$–adic framed braids II. Adv. Math., 234, 149–191.
  18. Juyumaya, J., & Lambropoulou, S. (2011). An adelic extension of the Jones polynomial. In The mathematics of knots (pp. 125–142). Contrib. Math. Comput. Sci., 1, Springer.
  19. Juyumaya, J., & Lambropoulou, S. (2009). An invariant for singular knots. J. Knot Theory Ramifications, 18(6), 825–840.
  20. Juyumaya, J., & Lambropoulou, S. (2007). $p$–adic framed braids and $p$–adic Markov traces. In Intelligence of low dimensional topology 2006 (pp. 75–84). Ser. Knots Everything, 40, World Sci. Publ.
  21. Juyumaya, J., & Lambropoulou, S. (2007). $p$–adic framed braids. Topology Appl., 154(8), 1804–1826.
  22. Juyumaya, J. (2004). Markov trace on the Yokonuma-Hecke algebra. J. Knot Theory Ramifications, 13(1), 25–39.
  23. Juyumaya, J., & Senthamarai Kannan, S. (2001). Braid relations in the Yokonuma-Hecke algebra. J. Algebra, 239(1), 272–297.
  24. Juyumaya, J. (1999). A new algebra from the representation theory of finite groups. Rev. Math. Phys., 11(7), 929–945.
  25. Juyumaya, J. (1998). Sur les nouveaux générateurs de l'algèbre de Hecke $H(G, U, 1)$. J. Algebra, 204(1), 49–68.
  26. Juyumaya, J. (1996). Opérateurs de type Fourier-Grassmann sur $1\!\! 1^{GL_n{(\mathbb{F}_q)}}_{U}$. J. Algebra, 185(3), 796–819.
  27. Jimenez, D., & Juyumaya, J. (1994). On the spectrum of the conjugation action for $D_n$. Proyecciones, 13(2), 123–129.
  28. Juyumaya, J. (1992). Représentation du groupe symétrique par des opérateurs de Fourier-Grassmann. C. R. Acad. Sci. Paris Sér. I Math., 315(7), 755–758.
  29. Juyumaya, J. (1990). On the spectrum of the conjugation action for $GL_n(\mathbb{F}_q)$. In Workshop on Group Representations, Part II, Notas Soc. Mat. Chile, 9(1), 63–70.
Proyectos
  1. Fondecyt No. 1210404 (2021): Tied links, monoids and algebras.
  2. Fondecyt No. 1180036 (2018): Interfaces among knot theory and the algebras Of Yokomuma-Hecke and the bt-algebra.
  3. Fondecyt No. 1141254 (2014): tKnot invariants from the Yokonuma-Hecke algebra. The algebra of braids and ties.
  4. Fondecyt No. 1085002 (2008): p-adic framed braids-On spectrum associated to the Heisenberg and unipotents subgroups.
  5. Fondecyt No. 1050302 (2005): Almost Parabolic Subgroups, Markov Trace And Conjugacy Representation.
  6. Fondecyt No. 1020002 (2002): On certain algebras involving braid relations.
  7. Fondecyt No. 1000013 (2000): Some questions arising from the Yokonuma-Hecke algebra.
Material Docente
Apuntes Álgebra Lineal Apuntes Álgebra Multilineal Apuntes Invariantes polinomiales de enlaces y enlaces ligados