TENURE
Julia Plavnik - Mathematics
TENURE AND PROMOTION GUIDELINES
Mathematics Department Tenure and Promotion Guidelines
College of Arts and Sciences Tenure Guidelines
Curriculum vitae
Curriculum Vitae
PAPERS AND ANNOTATED BIBLIOGRAPHY
Annotated Bibliography
PUBLISHED PAPERS
MR2968637 Reviewed Natale, Sonia; Plavnik, Julia Yael On fusion categories with few irreducible degrees. Algebra Number Theory 6 (2012), no. 6, 1171–1197. (Reviewer: David A. Jordan) 16T05 (18D10)
MR3163515 Reviewed Natale, Sonia; Plavnik, Julia Yael Solvability of a class of braided fusion categories. Appl. Categ. Structures 22 (2014), no. 1, 229–240. (Reviewer: Alessandro Ardizzoni) 18D10
MR3270794 Reviewed Bruillard, Paul; Galindo, César; Hong, Seung-Moon; Kashina, Yevgenia; Naidu, Deepak; Natale, Sonia; Plavnik, Julia Yael; Rowell, Eric C. Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2. Canad. Math. Bull. 57 (2014), no. 4, 721–734. (Reviewer: José N. Alonso Álvarez) 18D10
MR3423950 Reviewed Bruillard, Paul; Chang, Liang; Hong, Seung-Moon; Plavnik, Julia Yael; Rowell, Eric C.; Sun, Michael Yuan Low-dimensional representations of the three component loop braid group. J. Math. Phys. 56 (2015), no. 11, 111707, 15 pp. (Reviewer: Tetsuya Ito) 20F36 (20G05 57M27)
MR3448800 Reviewed Bruillard, Paul; Galindo, César; Ng, Siu-Hung; Plavnik, Julia Y.; Rowell, Eric C.; Wang, Zhenghan On the classification of weakly integral modular categories. J. Pure Appl. Algebra 220 (2016), no. 6, 2364–2388. (Reviewer: David Penneys) 18D10
MR3555361 Reviewed Cui, Shawn X.; Galindo, César; Plavnik, Julia Yael; Wang, Zhenghan On gauging symmetry of modular categories. Comm. Math. Phys. 348 (2016), no. 3, 1043–1064. (Reviewer: Daniel Ion Bulacu) 18D10 (81T60)
MR3606516 Reviewed Galindo, César; Plavnik, Julia Yael Tensor functors between Morita duals of fusion categories. Lett. Math. Phys. 107 (2017), no. 3, 553–590. (Reviewer: Ehud Meir) 18D10 (20J06 20J15)
MR3641612 Reviewed Bruillard, Paul; Galindo, César; Hagge, Tobias; Ng, Siu-Hung; Plavnik, Julia Yael; Rowell, Eric C.; Wang, Zhenghan Fermionic modular categories and the 16-fold way. J. Math. Phys. 58 (2017), no. 4, 041704, 31 pp. (Reviewer: Tim Raeymaekers) 81V35
MR3780767 Reviewed Plavnik, Julia Yael; Witherspoon, Sarah Tensor products and support varieties for some noncocommutative Hopf algebras. Algebr. Represent. Theory 21 (2018), no. 2, 259–276. (Reviewer: Iván Ezequiel Angiono) 16T05 (18D10)
MR3876728 Reviewed Bruillard, Paul; Plavnik, Julia Yael; Rowell, Eric C. Modular categories of dimension p^3m with m square-free. Proc. Amer. Math. Soc. 147 (2019), no. 1, 21–34. (Reviewer: Luz Adriana Mejía Castaño) 18D10 (16T05)
MR4017856 Reviewed Edie-Michell, Cain; Jones, Corey; Plavnik, Julia Yael Fusion rules for ℤ/2ℤ permutation gauging. J. Math. Phys. 60 (2019), no. 10, 102302, 15 pp. (Reviewer: Wolfgang Rump) 16D90 (81R50)
MR4109138 Reviewed Bruillard, Paul; Galindo, César; Ng, Siu-Hung; Plavnik, Julia Y.; Rowell, Eric C.; Wang, Zhenghan Classification of super-modular categories by rank. Algebr. Represent. Theory 23 (2020), no. 3, 795–809. (Reviewer: Costel Gabriel Bontea) 18M20 (16D90 81U20)
MR4079746 Pending Bruillard, Paul; Gustafson, Paul; Plavnik, Julia Yael; Rowell, Eric C. Dimension as a quantum statistic and the classification of metaplectic categories. Topological phases of matter and quantum computation, 89–113, Contemp. Math., 747, Amer. Math. Soc., [Providence], RI, [2020], ©2020. 18M20 (20J99 81V27)
MR4209971 Reviewed Bruillard, Paul; Plavnik, Julia; Rowell, Eric C.; Zhang, Qing On classification of super-modular categories of rank 8. J. Algebra Appl. 20 (2021), no. 1, Paper No. 2140017, 36 pp. 18M20 (18E50)
MR4287180 Reviewed Delaney, Colleen; Galindo, César; Plavnik, Julia; Rowell, Eric C.; Zhang, Qing Braided zesting and its applications. Comm. Math. Phys. 386 (2021), no. 1, 1– 55. (Reviewer: Xiao-Kan Guo) 18M20 (18M15)
MR4219963 Reviewed Bergh, Petter Andreas; Plavnik, Julia Yael; Witherspoon, Sarah Support varieties for finite tensor categories: complexity, realization, and connectedness. J. Pure Appl. Algebra 225 (2021), no. 9, Paper No. 106705, 21 pp. (Reviewer: Ehud Meir) 16E40 (16T05 18M05)
Extension Theory for Braided-Enriched Fusion Categories Corey Jones, Scott Morrison, David Penneys, Julia Plavnik International Mathematics Research Notices, rnab133, https://doi.org/10.1093/imrn/rnab133 Published: 02 July 2021
MR4378088 Pending Negron, Cris; Plavnik, Julia Cohomology of finite tensor categories: duality and Drinfeld centers. Trans. Amer. Math. Soc. 375 (2022), no. 3, 2069–2112. 18G15 (16T99)
On odd-dimensional modular tensor categories, with A. Czenky. To appear Algebra & Number Theory (2021)
Completion for braided enriched monoidal categories, with S. Morrison and D. Penneys. Preprint: arXiv:1809.09782 (2018).
Algebraic structures in group-theoretical fusion categories, with Y. Morales, M. Müller, A. Ros Camacho, A. Tabiri, and C. Walton. Preprint: arXiv:2001.03837 (2020).
Zesting produces modular isotopes and explains their topological invariants, with C. Delaney and S. Kim. Preprint: arXiv:2107.11374 (2021).
Modular tensor categories, subcategories, and Galois orbits, with A. Schopieray, Z. Yu, and Q. Zhang. Preprint: arXiv:2111.05228 (2021).