Julia Plavnik
Visiting Assitant Professor
Department of Mathematics
Mailstop 3368
Texas A&M University
College Station, TX 778433368
Office:  Blocker 509A 

Email:  julia (at) math (dot) tamu (dot) edu 
Office Hours: 
(Spring 2016) Tuesday 1:002:00 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 (FaMAFCIEM),
Argentina in 2013 under the supervision of Sonia Natale.
I completed a CONICET postdoc at IMASUniversidad de Buenos Aires
and CIEMFaMAF 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.  Lowdimensional 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, 23642388.
[arXiv:1411.2313.]  Classification of integral modular categories of FrobeniusPerron 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, 721734.
[ arXiv:1303.4748.]  Solvability of a class of braided fusion categories
with S. Natale.
Appl. Categor. Struct. (2014) 22, 229240.
[ arXiv:1205.2394.]  On fusion categories with few irreducible degrees
with S. Natale.
Algebra Number Theory (2012) 6, no. 6, 11711197.
[ arXiv:1103.2340.]
Preprints
 Fermionic Modular Categories and the 16fold 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 coorganized
 AMS Special Session on Topological Phases of Matter and Quantum Computation at the AMS Sectional Meeting in Brunswick, September 24th25th, 2016.
 Minisymposium on Mathematical Models for Topological Phases of Matter at SIAM Annual Meeting in Boston, July 11th15th, 2016.
 AMS Special Session on Fusion Categories and Topological Phases of Matter at the AMS Sectional Meeting in Salt Lake City, April 09th10th, 2016.
 First Encuentro Colombiano de Computacion Cuantica (EC32015), May 11th15th, 2015. Bogota, Colombia.
 Colloquium on Algebra and Representations  Quantum 2014, March 20th24th, 2014. Santa Maria, Rio Grande do Sul, Brasil.
 Colloquium on Algebra and Representations  Quantum 2013, March 22nd25th, 2013. Tafi del Valle, Tucuman, Argentina.
 Graduate seminar of FaMAF, Universidad Nacional de Cordoba (UNC), 2010. Cordoba, Argentina.