Associate Professor Igor Klep

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Associate Professor

Research | Current

  • real algebraic geometry
  • functional analysis
  • convex optimization
 

Postgraduate supervision

  • Real or Convex Algebraic Geometry (Reading and/or Project)
  • Polynomials (Reading and/or Project)
  • Free Analysis (Reading and/or Project)

Selected publications and creative works (Research Outputs)

  • Helton, J. W., Klep, I., & McCullough, S. (2016). Matrix Convex Hulls of Free Semialgebraic Sets. Trans. Amer. Math. Soc, 368 (5), 3105-3139. 10.1090/tran/6560
  • Helton, J. W., Klep, I., & McCullough, S. (2014). The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra. Journal of the European Mathematical Society, 1. Related URL.
  • Helton, J. W., Klep, I., & McCullough, S. (2013). The matricial relaxation of a linear matrix inequality. Mathematical Programming, 138 (1-2), 401-445. 10.1007/s10107-012-0525-z
  • Helton, J. W., Klep, I., & McCullough, S. (2011). Proper analytic free maps. Journal of Functional Analysis, 260 (5), 1476-1490. 10.1016/j.jfa.2010.11.007
    URL: http://hdl.handle.net/2292/18131
  • Klep, I., & Schweighofer, M. (2008). Connes' embedding conjecture and sums of hermitian squares. Advances in Mathematics, 217 (4), 1816-1837. 10.1016/j.aim.2007.09.016
    URL: http://hdl.handle.net/2292/18130

Contact details

Primary location

SCIENCE CENTRE - MATHPHYSIC - Bldg 303
Level 4, Room 423
38 PRINCES ST
AUCKLAND 1010
New Zealand

Web links