Alexandru I. Suciu

Professor · Mathematics Department · Northeastern University

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Contact

Office:
435 Lake Hall
Phone:
1-617-373-3899
Fax:
1-617-373-5658
E-Mail:
a.suciu@neu.edu

Mailing Address

Prof. Alexandru Suciu
567 Lake Hall
Dept. of Mathematics
Northeastern University
360 Huntington Avenue
Boston, MA 02115, USA

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Background

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.

Research

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.

Teaching

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 MATH 2351, an undergraduate course in Ordinary Differential Equations, MATH 5121, a graduate Topology 1 course, MATH 7722, a Readings in Algebraic Topology course, and MATH 9996, a Dissertation course.

Activities

In May-June 2010, I visited the Centro di Ricerca Matematica Ennio De Giorgi, in Pisa, Italy, where I attended an intensive research period on Configuration Spaces: Geometry, Combinatorics and Topology. And in November I was at BIRS, in Banff, Canada for a one-week workshop on Topological methods in toric geometry, symplectic geometry and combinatorics.
In April 2011, I organized, together with Graham Denham, a Workshop and Special Session on The Algebraic Geometry and Topology of Hyperplane Arrangements at Northeastern and the AMS Spring Eastern Section Meeting. In May, I visited the University of Nice, where I attended a workshop on the Topology of Algebraic Varieties, while in June I visited the University of Caen. In July, I attended a conference on Toric Methods in Homotopy Theory, at Queen's University, in Belfast, UK, while in August I was at a conference on Hyperplane Arrangements and Applications at PIMS, in Vancouver, British Columbia.
In February, 2012, I attended a workshop on Homotopy Theory and Toric Spaces, at Princeton and Rider universities. In April and May, I visited the Max Planck Institute for Mathematics in Bonn, Germany and attended a workshop on Arrangements and Configuration Spaces at the University of Bremen. In early June I attended a workshop on Singularities of Differential Equations in Algebraic Geometry, at CIRM, Luminy, France, and gave a series of lectures at a school and workshop on Hyperplane Arrangements and Related Topics, held at the University of Pau, France, while in late June I visited IMAR, in Bucharest, Romania. In early October, I organized, together with Graham Denham, a mini-workshop on Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties, at MFO, in Oberwolfach, Germany, while in late Fall I visited the University of Sydney.