Julia Plavnik
Visiting Assistant Professor
Department of Mathematics
Mailstop 3368
Texas A&M University
College Station, TX 778433368
Office:  Blocker 510A 

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
 MATH 645, Fall 2017
 MATH 302, Fall 2017
 MATH 433, Spring 2017
 MATH 311, Fall 2016
 MATH 311, Spring 2016
 MATH 151, Fall 2015
Research Experience for Undergraduates 2017
The Department of Mathematics at Texas A&M hosted an eightweek Research Experience for Undergraduates (REU) from May 30 to July 21, 2017. I will mentor the program on Mathematics of Topological Quantum Computation . Details and how to apply are here
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.
I am one of the organizers of the Algebra and Combinatorics Seminar (since Spring 2017).
I am one of the organizers of the Postdoc Colloquium Series (Fall 2017).
Here is a copy of my CV.
Here is a link to my articles on the arXiv.
Publications
 Tensor products and support varieties for some noncocommutative Hopf algebras
with S. Witherspoon
To appear in Algebr. Represent. Theory (2017).
Preprint arXiv:1611.10285.  Modular categories of dimension p^3m with m squarefree
with P. Bruillard, and E.C. Rowell
To appear in Proc. Amer. Math. Soc. (2017).
[arXiv:1609.04896.]  Fermionic Modular Categories and the 16fold Way
with P. Bruillard, C. Galindo, T. Hagge, S.H. Ng, E.C. Rowell, and Z. Wang
J. Math. Phys. (2017) 58, 041704.
Doi: http://dx.doi.org/10.1063/1.4982048.
[arXiv:1603.09294.]  Tensor functor between Morita duals of fusion categories
with C. Galindo.
Lett. Math. Phys. (2017) 107, Issue 3, 553590.
[arXiv:1407.2783.]  On Gauging Symmetry of Modular Categories
with S.X. Cui, C. Galindo and Z. Wang.
Comm. Math. Phys. (2016) 348, Issue 3, 10431064.
[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
 Categorical dimension as a quantum statistic and applications
with P. Bruillard, P. Gustafson, and E.C. Rowell.
Preprint arXiv:1710.10284.  Classification of supermodular categories by rank
with P. Bruillard, C. Galindo, S.H. Ng, E.C. Rowell, and Z. Wang.
Preprint arXiv:1705.05293.
Conferences and Seminars coorganized
 Workshop on Subfactors and Fusion Categories at BIRS in Banff, Canada, October 14th19th, 2018 (organized with Terry Gannon, Scott Morrison, and David Penneys).
 AMS Mathematics Research Communities: "Quantum Symmetries: Subfactors and Fusion Categories”, June 10th16th, 2018 (organized with David Penneys and Noah Snyder with assistants Paul Bruillard and Corey Jones).
 AMS Special Session on Hopf Algebras, Tensor Categories, and Homological Algebra at the AMS Sectional Meeting in Boston, April 21st22nd, 2018 (organized with Cris Negron, and Sarah Witherspoon).
 AMS Special Session on Quantum Symmetries at the AMS Sectional Meeting in Columbus, March 17th18th, 2018 (organized with David Penneys).
 AMS Special Session on Mathematics of Quantum Computing and Topological Phases of Matter at the Joint Mathematics Meetings in San Diego, January 10th13th, 2018 (organized with Paul Bruillard, and David Meyer).
 AMS Special Session on Tensor Categories: Bridging Algebra, Topology, and Physics at the AMS Sectional Meeting in Riverside, November 4th5th, 2017 (organized with Paul Bruillard, and Henry Tucker).
 Workshop on Topological quantum computing, an interdisciplinary challenge at the 5th Heidelberg Laureate Forum (HLF), Heidelberg, Germany, September 24th29th, 2017 (organized with Sir Michael Atiyah  mentor and Ismael Sierra del Rio).
 Special Session on Hopf Algebras and Tensor Categories at the XXII Coloquio Latinoamericano de Álgebra in Quito, Ecuador, August 07th11th, 2017 (organized with Cesar Galindo).
 Special Session on Mathematics of Quantum Phases of Matter and Quantum Information at the Second Mathematical Congress of the Americas in Montreal, July 24th28th, 2017 (organized with Paul Bruillard, Cesar Galindo, and Eric Rowell).
 Working seminar on Quantum Computation and Quantum Information at Texas A&M University (Summer 2017), (organized with Michael Brannan and Paul Gustafson).
 AMS Special Session on Fusion Categories and Applications at the AMS Sectional Meeting in Bloomington, April 1st2nd, 2017(organized with Paul Bruillard, and Eric Rowell).
 Insight and Strategies for Professional Success, Personal Well Being and Getting Along with Others: Symposium for Faculty, Staff, Graduate Student and PostDocs in the Sciences at Texas A&M University, Febraury 24th, 2017 (organized with Akleman, Dabney, Rosenthal, Watanabe, and Webb).
 AMS Special Session on Fusion Categories and Quantum Symmetries at the Joint Mathematics Meetings in Atlanta, January 04th07th, 2017(organized with Paul Bruillard, and Eric Rowell).
 AMS Special Session on Topological Phases of Matter and Quantum Computation at the AMS Sectional Meeting in Brunswick, Sept. 24th25th, 2016(organized with Paul Bruillard, and Carlos Ortiz Marrero).
 Minisymposium on Mathematical Models for Topological Phases of Matter at SIAM Annual Meeting in Boston, July 11th15th, 2016 (organized with Paul Bruillard, and Daniel Creamer).
 AMS Special Session on Fusion Categories and Topological Phases of Matter at the AMS Sectional Meeting in Salt Lake City, April 09th10th, 2016 (organized with Paul Bruillard).
 First Encuentro Colombiano de Computacion Cuantica (EC32015) in Bogota, Colombia, May 11th15th, 2015 (organized with Díaz, Galindo, Rowell, and Wang).
 Colloquium on Algebra and Representations  Quantum 2014 in Santa Maria, Rio Grande do Sul, Brasil, March 20th24th, 2014 (organized with Angiono, Bagio, Flôres, Paques, and Silva Rodrigues).
 Colloquium on Algebra and Representations  Quantum 2013 in Tafi del Valle, Tucuman, Argentina March 22nd25th, 2013 (organized with Andruskiewitsch, and Fantino).
 Graduate seminar of FaMAF, Universidad Nacional de Cordoba (UNC), 2010. Cordoba, Argentina (organized with Romina M. Arroyo).