Position:
- Professor of mathematics at the Department of Mathematics, University of Zagreb
Fields of interest:
- Lie algebras and algebraic groups, and their representations; algebraic and geometric aspects
- Noncommutative algebra, algebraic number theory
Five selected publications:
- Širola, Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras, J. Algebra 423 (2015), 636-682.
- Širola, Compatible pairs of Borel subalgebras and shared orbit pairs, J. Algebra 423 (2015), 726-766.
- Širola, On Cartan subalgebras and Cartan subspaces of nonsymmetric pairs of Lie algebras, Proc. Amer. Math. Soc. 141 (2013), 2233-2243.
- Širola, On noncommutative Noetherian schemes, J. Algebra 282 (2004), 667-698.
- Širola, On supports and associated primes of modules over the enveloping algebras of nilpotent Lie algebras, Trans. Amer. Math. Soc. 353 (2001), 2131-2170.
The most important grants (as PI):
- 2007-2013 Principal investigator at the project Enveloping algebras of Lie algebras and their modules (no. 900-194134), funded by the Ministry of Science, Education and Sport in Croatia.
- 2002-2006 Principal investigator at the project Restriction of representations of semisimple Lie groups and Lie algebras (no. 0037121), funded by the Ministry of Science and Technology in Croatia.
- 2000-2002 Principal investigator at the supporting project for young scientists Characteristic cycles and embedding of modules for enveloping algebras (no. 037057), funded by the Ministry of Science and Technology in Croatia.
Vita:
Boris Širola earned a B.Sc. degree in mathematics at the Department of Mathematics, University of Zagreb, in 1988. He also earned a M.Sc. degree in 1992. and Ph.D. in 1996., at the same institution.
He held a position of a teaching assistant at the Department of Mathematics, University of Zagreb, since 1988. He received a permanent position of Assistant Professor in 2000., and was promoted to the rank of Associate Professor in 2005., and to the rank of Professor in 2012. An academic year 1998./99. he spent as a postdoc at the Massachusetts Institute of Technology, Cambridge, MA, USA. He has also been, as a visiting scholar, at the following institutions: Tata Institute of Fundamental Research, Mumbai (2002.); Mathematische Institut, Heinrich Heine Universitet, Dusseldorf (2005.); University of Utah, Salt Lake City (2010. i 2014.) His fields of interest are (noncommutative) algebra, group theory, number theory and mostly Lie theory; in particular, structure theory and representation theory of Lie algebras, some problems related to investigations of geometry of nilpotent orbits and flag varieties for reductive groups, and relationship with representation theory of algebraic groups. As an only author he published 21 scientific papers in recognized mathematical journals; some of them in leading journals specialized for algebra.
At the undergraduate study he held several courses (e.g., Algebraic structures, Theory of analytic functions). At the graduate study he created and held 4 two-semester courses (Lie algebras and representation theory, Commutative algebra, Riemann Zeta function and Introduction to the theory of analytic functions of several complex variables). He is a cofounder and coleader of the Seminar for Algebra at the University of Zagreb.