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Academic Positions
2020 - present: RTG Postdoctoral Fellow at the University of Texas at Austin
2019 - 2020: Assistant Research Professor at the University of Connecticut
Education
2013-2019: Ph.D. in Mathematics, Indiana University Bloomington
2009-2013: B.S. in Mathematics, University of Illinois Urbana-Champaign
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Broadly speaking, I work in the areas of partial differential equations and the calculus of variations. I am particularly interested in variational models from materials science and physics.
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6. D. Golovaty, M. Novack, P. Sternberg. A One-Dimensional Variational Problem for Cholesteric Liquid Crystals with Disparate Elastic Constants, Journal of Differential Equations 286 (2021), 785-820. Preprint: arXiv:2008.04492
5. M. Novack, X. Yan. Compactness and sharp lower bound for a 2D smectics model, to appear in Journal of Nonlinear Science. Preprint: arXiv:2007.07962
4. D. Golovaty, M. Novack, P. Sternberg. A novel Landau-de Gennes model with quartic elastic terms, European Journal of Applied Mathematics 32 (2020), no. 1, 177-198. Preprint: arXiv:1906.09232
3. D. Golovaty, Y.-K. Kim, O. Lavrentovich, M. Novack, P. Sternberg. Phase transitions in nematics: textures with tactoids and disclinations, Mathematical Modelling of Natural Phenomena 15 (2020) no. 8. Preprint: arXiv:1902.06342
2. D. Golovaty, M. Novack, P. Sternberg, R. Venkatraman. A model problem for nematic-isotropic phase transitions with highly disparate elastic constants, Archive for Rational Mechanics and Analysis 236 (2020), no. 3, 1739–1805. Preprint: arXiv:1811.12586
1. M. Novack. Dimension reduction for the Landau-de Gennes model: the vanishing nematic correlation length limit, SIAM Journal on Mathematical Analysis 50 (2018), no. 6, 6007-6048. Preprint: arXiv:1801.04477
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Spring 2021: M408D
Fall 2020: M408L
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