I hail from Bucharest, Romania. I did my undergraduate studies at the Faculty of Mathematics of the University of Bucharest. Here is a picture from those days.
For my graduate studies, I went to Columbia University, receiving my Ph.D. degree in 1984. Here is a picture from around that time, taken in Cambridge, UK.
After a J.W. Gibbs Instructorship at Yale University, I came in 1986 to Northeastern University, where I've been ever since.
My research interests are in Topology, and how it relates to Algebra, Geometry, and Combinatorics.
I currently investigate cohomology jumping loci, and their applications to algebraic varieties, low-dimensional
topology, and toric topology, such as the study of hyperplane arrangements, moment angle complexes,
configuration spaces, and various classes of knots, links, and manifolds, as well as the homology
and lower central series of discrete groups. Below are some recent papers and preprints
(click here for a complete list).
The spectral sequence of an equivariant chain complex and homology with local coefficients (with S. Papadima), Trans. Amer. Math. Soc. 362 (2010), no. 5, 2685-2721.
Bieri-Neumann-Strebel-Renz invariants and homology jumping loci (with S. Papadima), Proc. London Math. Society 100 (2010), no. 3, 795-834.
Algebraic monodromy and obstructions to formality
(with S. Papadima), Forum Math. 22 (2010), no. 5, 973-983.
Fundamental groups, Alexander invariants, and cohomology jumping loci, in: Topology of algebraic varieties and singularities, 179-223, Contemporary Math., vol. 538, Amer. Math. Soc., Providence, RI, 2011.
Quasi-Kähler groups, 3-manifold groups, and formality (with A. Dimca and S. Papadima), Math. Zeit., 268 (2011), no. 1, 169-186.
Resonance varieties and Dwyer-Fried invariants, in: Arrangements of Hyperplanes (Sapporo 2009), 359-398, Adv. Stud. Pure Math., vol. 62, Kinokuniya, Tokyo, 2012.
Geometric and homological finiteness in free abelian covers, in: Configuration Spaces: Geometry,
Combinatorics and Topology (Centro De Giorgi, 2010), 461-501, Publications of the Scuola Normale Superiore, vol. 14, Edizioni della Normale, Pisa, 2012.
Homological finiteness in the Johnson filtration of the automorphism group of a free group (with S. Papadima), Journal of Topology 5 (2012), no. 4, 909-944
Intersections of translated algebraic subtori (with Y. Yang and G. Zhao), J. Pure and Appl. Algebra 217 (2013), no. 3, 481-494.
Characteristic varieties and Betti numbers of free abelian covers, to appear in Int. Math. Res. Not. (IMRN).
Homological finiteness of abelian covers (with Y. Yang and G. Zhao), to appear in Ann. Sc. Norm. Super. Pisa.
- The rational homology of real toric manifolds, extended abstract of a talk given at MFO, to appear in Oberwolfach Reports.
Vanishing resonance and representations of Lie algebras (with S. Papadima), preprint July 2012.
Multinets, parallel connections, and Milnor fibrations of arrangements (with G. Denham), preprint September 2012.
Kähler groups, quasi-projective groups, and 3-manifold groups (with S. Friedl), preprint December 2012.
- Hyperplane arrangements and Milnor fibrations, preprint January 2013.
Jump loci in the equivariant spectral sequence (with S. Papadima), preprint February 2013.
I teach a variety of math courses, both at the undergraduate and graduate level. If you are interested in taking a directed study course or a reading course with me (in addition to those courses regularly offered), please contact me.
In Spring 2010, I taught an undergraduate course in
Topology, and graduate courses
in Topology 2
and Topics in Topology.
In Fall 2010, I taught two sections of MATH 3175, an undergraduate course in Group Theory, and MATH 7721, a Readings in Topology graduate course.
In Spring 2011, I taught MATH 3150, an undergraduate course in Real Analysis; MATH 5121, a graduate Topology 1 course; and MATH 7722, a Readings in Algebraic Topology course.
In Fall 2011, I taught MATH 3150, an undergraduate course in Real Analysis; MATH 7221, a graduate course in Topology 2; and MATH 7321, a graduate course in Topology 3.
In Spring 2012, I taught MATH 7722, a Readings in Algebraic Topology course, and MATH 7723, a Readings in Geometric Topology course.
In Fall 2012, I taught MATH 7723, a Readings in Geometric Topology course, and MATH 9990, a Dissertation course.
In Spring 2013, I teach
an undergraduate course in Ordinary Differential Equations,
a graduate Topology 1 course,
a Readings in Algebraic Topology course, and MATH 9996, a Dissertation course.