Selected Publications

Books



1. Jorge Morales, Lecture Notes in Number Theory, Draft (2020), 484 pp.


Special journal issues


1. Jerome Hoffman, Ling Long, Karl Mahlburg, Jorge Morales, Bogdan Oporowski, Robert Perlis, Holly Swisher, editors, Special Issue on Applications of Automorphic Forms in Number Theory and Combinatorics In honor of the lifelong work of Wen-Ching Winnie Li, J. Number Theory, Vol. 161, April 2016, 1-534.


2. J. W. Hoffman, J. Hurrelbrink, J. Morales, R. Perlis, and P. van Wamelen, editors, Proceedings of the Conference on Quadratic Forms and Related Topics, Documenta Mathematica, Bielefeld, 2001. Held at Louisiana State University, Baton Rouge, LA, March 26–30, 2001, Doc. Math. 2001, Extra Vol.


Articles


1. Jorge Morales and Anthony Sanchez, Generic extensions and generic polynomials for multiplicative groups, J. Algebra 423 (2015), 405-421.


2. Piotr Maciak and Jorge Morales, Siegel’s mass formula and averages of Dirichlet L-functions over function fields, Enseign. Math. (2) 57 (2011), no. 3-4, 393-422.


3. Jean Bureau and Jorge Morales, Representation of definite binary Fq[t]-lattices, Illinois J. Math., 53(1):237–250, 2009.


4. Jean Bureau and Jorge Morales, Isospectral definite ternary Fq [t]-lattices, J. Number Theory, 129(10):2457–2473, 2009. 5. Jean Bureau and Jorge Morales, A note on indefinite ternary quadratic forms representing all odd integers, Bol. Soc. Parana. Mat. (3), 23(1-2):85–92, 2005.


6. Rosali Brusamarello, Pascale Chuard-Koulmann, and Jorge Morales, Orthogonal groups containing a given maximal torus, J. Algebra, 266(1):87–101, 2003. 7. Pascale Chuard-Koulmann and Jorge Morales, Extending involutions on Frobenius algebras, Manuscripta Math., 108(4):439–451, 2002.


8. J. William Hoffman and Jorge Morales, Arithmetic of binary cubic forms, Enseign. Math. (2), 46(1-2):61–94, 2000.


9. Rosali Brusamarello and Jorge Morales, On the second Stiefel-Whitney class of scaled trace forms of central simple algebras, J. London Math. Soc. (2), 61(2):335–348, 2000.


10. Laura Fainsilber and Jorge Morales, An injectivity result for Hermitian forms over local orders, Illinois J. Math., 43(2):391– 402, 1999.


11. Jorge Morales, L’invariant de Hasse-Witt de la forme de Killing, Canad. J. Math., 50(6):1323–1336, 1998.


12. Eva Bayer-Fluckiger and Jorge Morales, Multiples of trace forms in number fields, In K- theory and algebraic geometry: connections with quadratic forms and division algebras (Santa Barbara, CA, 1992), volume 58 of Proc. Sympos. Pure Math., pages 73–81. Amer. Math. Soc., Providence, RI, 1995.


13. Jorge Morales, Trace forms and Stickelberger relations, J. Number Theory 51(1):118–129, 1995.


14. Jorge Morales, On some invariants for systems of quadratic forms over the integers, J. Reine Angew. Math., 426:107–116, 1992.


15. Boas Erez and Jorge Morales, The Hermitian structure of rings of integers in odd degree abelian extensions, J. Number Theory, 40(1):92–104, 1992.


16. Jorge Morales and Jean-Marc Piveteau, Quadratic forms invariant under group actions, Illinois J. Math., 36(1):145–154, 1992.


17. Jorge Morales, The classification of pairs of binary quadratic forms, Acta Arith., 59(2):105– 121, 1991.


18. D. W. Lewis and J. F. Morales, The Hasse invariant of the trace form of a central simple algebra, In Théorie des nombres, Années 1992/93–1993/94, Publ. Math. Fac. Sci. Besançon, page 8. Univ. Franche-Comté, Besançon, 1994.


19. Jorge F. Morales, Equivariant Witt groups, Canad. Math. Bull., 33(2):207–218, 1990.


20. Jorge Morales, Hermitian class numbers in group rings, Bull. London Math. Soc., 22(4):321– 332, 1990.


21. B. Erez, J. Morales, and R. Perlis, Sur le genre de la forme trace, In Séminaire de Théorie des Nombres, 1987–1988 (Talence, 1987–1988), pages Exp. No. 18, 15. Univ. Bordeaux I, Talence, 1988.


22. Jorge F. Morales, Maximal Hermitian forms over ZG, Comment. Math. Helv., 63(2):209–225, 1988.


23. Daniel Lines and Jorge Morales, Grothendieck groups of sesquilinear forms over a ring with involution, Math. Ann., 281(1):97–108, 1988.


24. Jorge F. Morales, Integral bilinear forms with a group action, J. Algebra, 98(2):470–484, 1986.