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Catalin Zara

Professor

Ph.D., Mathematics
Massachusetts Institute of Technology

Contact Information:

Office: Science 3-091
Phone: (617) 287-6463
Email: catalin.zara

Fall 2017 Office Hours:

By appointment only
Tue 9:50am - 10:20am and 4:00pm - 4:30pm
Thu 9:50am - 10:20am and 4:00pm - 4:30pm

(click on image for larger map)

Professional Interests: Differential geometry. Combinatorial aspects of equivariant cohomology and K-theory. Distances on finite spaces, with applications.

Publications:

2016 Tolerance Distances on Minimal Coverings. IEEE 46th International Symposium on Multiple-Valued Logic. ISMVL 2016, May 18-20, 2016, Sapporo, Japan, 125--130, 2016. [Zara, Catalin and Simovici, Dan]
The Prouhet-Tarry-Escott problem and generalized Thue-Morse sequences. J. Comb. 7 (2016), no. 1, 117--133, [Bolker, Ethan D. and Offner, Carl and Richman, Robert and Zara, Catalin]
2014 Polynomial assignments. Indag. Math. (N.S.) 25 (2014), no. 5, 992--1018, [Guillemin, Victor and Sabatini, Silvia and Zara, Catalin]
2013 Equivariant $K$-theory of GKM bundles. Ann. Global Anal. Geom. 43 (2013), no. 1, 31--45, [Guillemin, Victor and Sabatini, Silvia and Zara, Catalin]
Balanced fiber bundles and GKM theory. Int. Math. Res. Not. IMRN (2013), no. 17, 3886--3910, [Guillemin, Victor and Sabatini, Silvia and Zara, Catalin]
2012 Cohomology of GKM fiber bundles. J. Algebraic Combin. 35 (2012), no. 1, 19--59, [Guillemin, Victor and Sabatini, Silvia and Zara, Catalin]
2011 The Impact of Triangular Inequality Violations on Medoid-Based Clustering. 280--289, Lecture Notes in Computer Science, 6804, 2011. [Baraty, Saaid and Simovici, Dan and Zara, Catalin]
2010 Positivity of equivariant Schubert classes through moment map degeneration. J. Symplectic Geom. 8 (2010), no. 4, 381--401, [Zara, Catalin]
2007 Morse interpolation for Hamiltonian GKM spaces. J. Differential Geom. 75 (2007), no. 3, 503--523, [Zara, Catalin]
Complete Padovan sequences in finite fields. Fibonacci Quart. 45 (2007), no. 1, 64--75, [Gil, Juan B. and Weiner, Michael D. and Zara, Catalin]
2006 Chains, subwords, and fillings: strong equivalence of three definitions of the Bruhat order. Electron. J. Combin. 13 (2006), no. 1, Note 5, 13 pp. (electronic), [Zara, Catalin]
A GKM description of the equivariant cohomology ring of a homogeneous space. J. Algebraic Combin. 23 (2006), no. 1, 21--41, [Guillemin, V. and Holm, T. and Zara, C.]
2003 Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph. Electron. J. Combin. 9 (2003), no. 2, Research paper 11, 11 pp. (electronic), [Zara, Catalin]
The existence of generating families for the cohomology ring of a graph. Adv. Math. 174 (2003), no. 1, 115--153, [Guillemin, Victor and Zara, Catalin]
2002 Combinatorial formulas for products of Thom classes. Geometry, mechanics, and dynamics, 363--405, Springer, 2002. [Guillemin, Victor and Zara, Catalin]
2001 1-skeleta, Betti numbers, and equivariant cohomology. Duke Math. J. 107 (2001), no. 2, 283--349, [Guillemin, V. and Zara, C.]
$G$-actions on graphs. Internat. Math. Res. Notices (2001), no. 10, 519--542, [Guillemin, V. and Zara, C.]
2000 Equivariant de Rham theory and graphs [ MR1701922 (2001g:58033)]. Surveys in differential geometry, 221--257, Surv. Differ. Geom., 7, Int. Press, Somerville, MA, 2000. [Guillemin, V. and Zara, C.]
1999 Equivariant de Rham theory and graphs. Asian J. Math. 3 (1999), no. 1, 49--76, [Guillemin, V. and Zara, C.]
1998 A characterization of bi-invariant Riemannian metrics on Lie groups. Stud. Cerc. Mat. 50 (1998), no. 1--2, 111--115, [Zara, Cătălin]
1995 On a theorem of D. M\"uller. Stud. Cerc. Mat. 47 (1995), no. 3--4, 359--363, [Zara, Cătălin]


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