¶¶Òõ¶ÌÊÓƵ

Dr Mircea Voineagu

Dr Mircea Voineagu

Senior Lecturer
Science
School of Mathematics & Statistics

Professional Experience

2020-present Senior Lecturer, UNSW

2013-2020: Lecturer, School of Mathematics and Statistics, UNSW.
2010-2012: Research Scientist, IPMU, University of Tokyo, Japan
2007-2010: Postdoctoral Researcher,Ìý University of Southern California, Los Angeles.

2002-2007: Ph.D Mathematics, Northwestern University, Chicago, Illinois.

Ìý

Research Interests

My research focuses on (co)homological invariants associated with complex and real algebraic varieties, especially motivic and Lawson cohomology (with their equivariant aspects), Semi-topological K-theory and Bredon motivic cohomology. These invariants are expected to hold a great deal of information about smooth algebraic varieties. My recent research was concerned with applications and extensions of Milnor’s conjecture (proved by V. Voevodsky) with an eye toward very new and intriguing conjecture of Suslin regarding a possible partial description of morphic cohomology with integer coefficients in terms of singular cohomology.

Selected Publications:

  • Heller Jeremiah, Ostvaer Paul Arne and Voineagu Mircea Bredon motivic cohomology of a complex point, in preparation, 2022
  • Kieran Walsh, Mircea Voineagu, Fatemeh Vafaee and Irina Voineagu TDAview: an online visualization tool for topological data analysis, Bioinformatics, 2020
  • Mircea Voineagu About Bredon motivic cohomology of a field, JPAA, 2020
  • ÌýDaniel Shnier, Mircea Voineagu and Irina Voineagu,ÌýPersistent homology analysis of brain transcriptome data in autism,ÌýJournal of The Royal Society Interface, 2019
  • Heller Jeremiah, Ostvaer Paul Arne and Voineagu Mircea Topological Comparisons for Bredon motivic cohomology, Trans AMS, 2019
  • Heller, Jeremiah; OstvaerÌýPaul Arne and Voineagu MirceaÌý Equivariant cycles and cancellation for motivic cohomology. Doc. Math, 2015.
  • Heller, Jeremiah; Voineagu, Mircea Remarks on filtrations of the homology of real varieties. Doc. Math. 17 (2012), 641-661.
  • Heller, Jeremiah; Voineagu, Mircea Equivariant semi-topological invariants, Atiyah’s KR-theory, and real algebraic cycles. Trans. Amer. Math. Soc. 364 (2012), no. 12, 6565-6603.
  • Heller, Jeremiah; Voineagu, Mircea Vanishing theorems for real algebraic cycles. Amer. J. Math. 134 (2012), no. 3, 649-709.
  • Voineagu, Mircea Cylindrical homomorphisms and Lawson homology. J. K-Theory 8 (2011), no. 1, 135-168.
  • Voineagu, Mircea Semi-topological K-theory for certain projective varieties. J. Pure Appl. Algebra 212 (2008), no. 8, 1960-1983.
Phone
9385 8804
Location
School of Mathematics and Statistics University of New South Wales SYDNEY NSW 2052 AUSTRALIA The Red Centre Room 6112
  • Journal articles | 2020
    Voineagu M, 2020, 'About Bredon motivic cohomology of a field', Journal of Pure and Applied Algebra, 224,
    Journal articles | 2020
    Walsh K; Voineagu MA; Vafaee F; Voineagu I, 2020, 'TDAview: An online visualization tool for topological data analysis', Bioinformatics, 36, pp. 4805 - 4809,
    Journal articles | 2015
    Heller J; Voineagu M; Østvær PA, 2015, 'Equivariant cycles and cancellati for motivic cohomology', Documenta Mathematica, 20, pp. 269 - 332
    Journal articles | 2012
    Heller J; Voineagu M, 2012, 'Equivariant semi-topological invariants, Atiyah's kr-theory, and real algebraic cycles', Transactions of the American Mathematical Society, 364, pp. 6565 - 6603,
    Journal articles | 2012
    Heller J; Voineagu M, 2012, 'Vanishing theorems for real algebraic cycles', American Journal of Mathematics, 134, pp. 649 - 709,
    Journal articles | 2011
    Heller J; Voineagu M, 2011, 'Remarks on filtrations of the homology of real varieties', Documenta Mathematica, 17, pp. 641 - 661
    Journal articles | 2011
    Voineagu M, 2011, 'Cylindrical homomorphisms and Lawson homology', Journal of K-Theory, 8, pp. 135 - 168,
    Journal articles | 2008
    Voineagu M, 2008, 'Semi-topological K-theory for certain projective varieties', Journal of Pure and Applied Algebra, 212, pp. 1960 - 1983,
  • Working Papers | 2019
    Heller J; Voineagu M; Østvær PA, 2019, Topological comparison theorems for bredon motivic cohomology,
    Working Papers | 2019
    Voineagu M; Voineagu I; Shnier D, 2019, Persistent homology analysis of gene expression data in autism,