Prof. Pavle Pandžić

Position:

  • Professor of Mathematics, Faculty of Science, University of Zagreb (Department of Mathematics)

Fields of interest:

  • Representation theory of real reductive Lie groups, Lie algebras and superalgebras
  • Algebraic and holomorphic geometry, D-modules

Awards:

  • Annual Croatian State Award for Science in 2012

Five selected publications:

  • -S.Huang, P.Pandžić, Dirac cohomology, unitary representations and a proof of a conjecture of Vogan, J. Amer. Math. Soc. 15 (2002), 185-202.
  • -S.Huang, P.Pandzic, G.Savin, New dual pair correspondences, Duke Math. J. 82 (1996), 447-471.
  • Pandžić, Zuckerman functors between equivariant derived categories, Trans. Amer. Math. Soc. 359 (2007), 2191-2220.
  • -S.Huang, P.Pandžić, F.Zhu, Dirac cohomology, K-characters and branching laws, Amer. J. Math. 135 (2013), no.5, 1253-1269.
  • Mehdi, P.Pandžić, D.Vogan, Translation principle for Dirac index, to appear in Amer. J. Math.

The most important grants (as PI)

  • 2015- Leader of the Research unit for representation theory of Lie algebras, number theory, and associated structures of  the Center of excellence for quantum and complex systems and representations of Lie algebras  – QuantiXLie
  • 2014- PI of the grant „Dirac operators in representation theory“ funded by the Croatian Science Foundation
  • 2002-2013 PI of two grants funded by the Ministry of Science and Technology of the Republic of Croatia
  • 2002-2013 PI of three bilateral Croatian-French grants.

Bio:

Pavle Pandžić graduated mathematics at the Department of Mathematics, Faculty of Science, University of Zagreb, in 1986. He obtained his Master degree at the same institution in 1989. From 1990 to 1995 he attended the graduate program at University of Utah, Salt Lake City, USA, where he obtained his Ph.D. degree in 1995. His advisor was D.Miličić. From 1995 to 1998 he was a C.L.E. Moore Instructor at Massachusetts Institute of Technology, Cambridge, USA. In 1998 he returned to University of  Zagreb, where he has since held the positions of Research Assistant, Assistant Professor, Associate Professor and finally Full Professor since 2010.  After returning to Zagreb, he held long-term visiting positions in Singapore, Japan, Hong Kong, USA, France and Germany. He is an author of 30 publications, and a scientific monograph „Dirac operators in representation theory“. He gave around 30 invited lectures at conferences, and around 30 lectures at seminars and colloquia at various places he was visiting. His subjects of interest are representations of real reductive groups, in particular (g,K)-modules and their homological algebra. His main results concern applications of Dirac operators to (g,K)-modules.

He received the Annual Croatian State Award for Science in 2012. He supervised one finished Ph.D. student, and currently he is supervising four Ph.D. students. He was the PI of several scientific grants. He held various administrative positions at the Department of Mathematics. He was the Editor in Chief of the scientific journal Glasnik matematički. He taught many courses in algebra, analysis and geometry.