PhD supervision

Research area: representation theory of Lie groups, operator theory, analysis

PhD supervision experience:

• Mihai Nicolae, Moments for Lie group representations, SCOSAAR, IMAR (defended on 27 October 2014).

The contents of this PhD thesis were published in 4 papers:

• 1. D. Beltita, M. Nicolae, On universal enveloping algebras in a topological setting. Studia Mathematica 230 (2015), no. 1, 1-29. (Here is the online published final version.)

  2. D. Beltita, M. Nicolae, Moment convexity of solvable locally compact groups. Journal of Lie Theory 25 (2015), no. 3, 733-751. (Here is the online published final version.)

  3. M. Nicolae, On differential calculus on pre-Lie groups. Revue roumaine de mathématiques pures et appliquées 61 (2016), no. 1, 19-28. (Here is the online published final version).

  4. M. Nicolae, On tangent groups of 2-step nilpotent pre-Lie groups. Mathematical Reports 20 (70) (2018), no. 1, 11-27. (Here is the online published final version).

Recent teaching:

Graduate level course:

• Order structures on enveloping algebras (SCOSAAR)

Master level course:

• Unitary representations of Lie groups (SNSB)