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Catalin Zara

Professor

Ph.D., Mathematics
Massachusetts Institute of Technology

Contact Information:

Office: Wheatley 3-154-15
Phone: (617) 287-6463
Email: catalin.zara

Spring 2024 Office Hours:

TBA

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

Recent Publications:

2021 [MR4354754] Balance weighing: variations on a theme . Math. Mag. 94 (2021), no. 5, 339--352. --- Bolker, Ethan D. ; Feuer, Samuel A. ; Zara, Catalin
2020 [MR4051848] Beyond cohomological assignments . Adv. Math. 363 (2020), 106976, 21 pp. --- Guillemin, Victor ; Tolman, Susan ; Zara, Catalin
2016 [MR3570622] Tolerance distances on minimal coverings . 2016 IEEE 46th International Symposium on Multiple-Valued Logic, 125--130, IEEE Computer Soc., Los Alamitos, CA, 2016. --- Zara, Catalin ; Simovici, Dan A.
[MR3436197] The Prouhet-Tarry-Escott problem and generalized Thue-Morse sequences . J. Comb. 7 (2016), no. 1, 117--133. --- Bolker, Ethan D. ; Offner, Carl ; Richman, Robert ; Zara, Catalin
2014 [MR3264785] Polynomial assignments . Indag. Math. (N.S.) 25 (2014), no. 5, 992--1018. --- Guillemin, Victor ; Sabatini, Silvia ; Zara, Catalin
2013 [MR3017075] Equivariant K-theory of GKM bundles . Ann. Global Anal. Geom. 43 (2013), no. 1, 31--45. --- Guillemin, Victor ; Sabatini, Silvia ; Zara, Catalin
[MR3096913] Balanced fiber bundles and GKM theory . Int. Math. Res. Not. IMRN 2013, no. 17, 3886--3910. --- Guillemin, Victor ; Sabatini, Silvia ; Zara, Catalin
2012 [MR2873096] Cohomology of GKM fiber bundles . J. Algebraic Combin. 35 (2012), no. 1, 19--59. --- Guillemin, Victor ; Sabatini, Silvia ; Zara, Catalin
2010 [MR2738385] Positivity of equivariant Schubert classes through moment map degeneration . J. Symplectic Geom. 8 (2010), no. 4, 381--401. --- Zara, Catalin
2007 [MR2358834] Complete Padovan sequences in finite fields . Fibonacci Quart. 45 (2007), no. 1, 64--75. --- Gil, Juan B. ; Weiner, Michael D. ; Zara, Catalin
[MR2301454] Morse interpolation for Hamiltonian GKM spaces . J. Differential Geom. 75 (2007), no. 3, 503--523. --- Zara, Catalin
2006 [MR2218848] A GKM description of the equivariant cohomology ring of a homogeneous space . J. Algebraic Combin. 23 (2006), no. 1, 21--41. --- Guillemin, V. ; Holm, T. ; Zara, C.
[MR2212512] Chains, subwords, and fillings: strong equivalence of three definitions of the Bruhat order . Electron. J. Combin. 13 (2006), no. 1, Note 5, 13 pp. --- Zara, Catalin
2003 [MR1959894] The existence of generating families for the cohomology ring of a graph . Adv. Math. 174 (2003), no. 1, 115--153. --- Guillemin, Victor ; Zara, Catalin
[MR2028281] Parking functions, stack-sortable permutations, and spaces of paths in the Johnson graph . Permutation patterns (Otago, 2003). Electron. J. Combin. 9 (2002/03), no. 2, Research paper 11, 11 pp. --- Zara, Catalin
2002 [MR1919836] Combinatorial formulas for products of Thom classes . Geometry, mechanics, and dynamics, 363--405, Springer, New York, 2002. --- Guillemin, Victor ; Zara, Catalin
2001 [MR1832539] G-actions on graphs . Internat. Math. Res. Notices 2001, no. 10, 519--542. --- Guillemin, V. ; Zara, C.
[MR1823050] 1-skeleta, Betti numbers, and equivariant cohomology . Duke Math. J. 107 (2001), no. 2, 283--349. --- Guillemin, V. ; Zara, C.
1999 [MR1701922] Equivariant de Rham theory and graphs . Sir Michael Atiyah: a great mathematician of the twentieth century. Asian J. Math. 3 (1999), no. 1, 49--76. --- Guillemin, V. ; Zara, C.
1998 [MR1837394] A characterization of bi-invariant Riemannian metrics on Lie groups . Stud. Cerc. Mat. 50 (1998), no. 1-2, 111--115. --- Zara, Catalin
1995 [MR1682873] On a theorem of D. Müller . (Romanian) Stud. Cerc. Mat. 47 (1995), no. 3-4, 359--363. --- Zara, Catalin


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