Julia Plavnik
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Texas A&M University
Mathematics

Julia Plavnik

Visiting Assitant Professor
Department of Mathematics
Mailstop 3368
Texas A&M University
College Station, TX 77843-3368

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Office: Blocker 509A
E-mail: julia (at) math (dot) tamu (dot) edu
Office Hours: (Spring 2016) Tuesday 1:00-2:00 pm, Wednesday 9:00 - 10:00, and by appointment.



Teaching


About me

Currently, I am a visiting assistant professor in the Texas A&M mathematics department, where I participate in the Algebra and Combinatorics Seminar. I received my Ph.D. from Universidad Nacional de Cordoba (FaMAF-CIEM), Argentina in 2013 under the supervision of Sonia Natale. I completed a CONICET postdoc at IMAS-Universidad de Buenos Aires and CIEM-FaMAF under the supervision of Maria Julia Redondo and Martin Mombelli.
My research focuses in category theory and noncommutative algebra. I am particularly interested in fusion and modular categories, their classification and applications to physics. I also study Hopf algebras and quantum groups and their representation theories.

Here is a copy of my CV.
Here is a link to my articles on the arXiv.


Publications

  • On Gauging Symmetry of Modular Categories
    with S.X. Cui, C. Galindo and Z. Wang.
    To appear in Comm. Math. Phys.
    Preprint arXiv:1510.03475.
  • Low-dimensional representations of the three component loop braid group
    with P. Bruillard, L. Chang, S.-M. Hong, E. C. Rowell and M. Y. Sun.
    J. Math. Phys. (2015) 56, no. 11, 11707.
    [arXiv:1508.00005.]
  • On the Classification of Weakly Integral Modular Categories
    with P. Bruillard, C. Galindo, S.-H. Ng, E.C. Rowell and Z. Wang.
    J. Pure Appl. Algebra. (2015) 22, no. 16, 2364-2388.
    [arXiv:1411.2313.]
  • Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2
    with P. Bruillard, C. Galindo, S.-M. Hong, Y. Kashina, D. Naidu, S. Natale and E. C. Rowell.
    Canad. Math. Bull. (2014) 57, no. 4, 721-734.
    [ arXiv:1303.4748.]
  • Solvability of a class of braided fusion categories
    with S. Natale.
    Appl. Categor. Struct. (2014) 22, 229-240.
    [ arXiv:1205.2394.]
  • On fusion categories with few irreducible degrees
    with S. Natale.
    Algebra Number Theory (2012) 6, no. 6, 1171-1197.
    [ arXiv:1103.2340.]

Preprints

  • Fermionic Modular Categories and the 16-fold Way
    with P. Bruillard, C. Galindo, T. Hagge, S.-H. Ng, E.C. Rowell and Z. Wang
    Preprint arXiv:1603.09294.
  • A premodular rank finiteness. Appendix to Rank 4 premodular categories by P. Bruillard
    with P. Bruillard, C. Galindo, S.-H. Ng, E.C. Rowell and Z. Wang.
    Preprint arXiv:1204.4836.
  • Tensor functor between Morita duals of fusion categories
    with C. Galindo.
    Preprint arXiv:1407.2783.

Conferences and Seminars co-organized

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