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Email address: mnovack at illinoistech dot edu
Personal Info
Personal Info
I am a research associate at the University of Texas at Austin. I am interested in the calculus of variations, geometric measure theory, and partial differential equations.
My CV can be found here.
My research is partially supported by the National Science Foundation, Division of Mathematical Sciences, through NSF Grant DMS-2607241.
Publications and Preprints
Publications and Preprints
19. R. Neumayer , M. Novack, and A. Skorobogatova , Minimizing clusters with prescribed asymptotic geometry, submitted for publication (2026). pdf file
18. L. Bronsard , R. Neumayer , M. Novack, and A. Skorobogatova , On the non-uniqueness of locally minimizing clusters via singular cones, submitted for publication (2025). pdf file, C++ code (requires FLINT library) and output
17. M. Novack, D. Restrepo , A. Skorobogatova , Free boundary regularity for semilinear variational problems with a topological constraint, accepted for publication, Archive for Rational Mechanics and Analysis 250 (2026), no. 55. pdf file
16. L. Bronsard , M. Novack. An infinite double bubble theorem, Annales de l'Institut Henri Poincaré C Analyse Non Linéaire (2025) . pdf file
15. F. Maggi , M. Novack, D. Restrepo . A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen-Cahn equation, submitted for publication (2023). pdf file
14. M. Novack. On the relaxation of Gauss's capillarity theory under spanning conditions, Journal of Geometric Analysis 34 (2024), no. 228. pdf file
13. F. Maggi , M. Novack, D. Restrepo . Plateau borders in soap films and Gauss' capillarity theory, submitted for publication (2023). pdf file
12. N. Fusco , F. Maggi , M. Morini , M. Novack. Rigidity and large volume residues in exterior isoperimetry for convex sets, Advances in Mathematics 453 (2024). pdf file
11. M. Novack. Regularity for minimizers of a planar partitioning problem with cusps, Calculus of Variations and Partial Differential Equations 64 (2025), no. 68 . pdf file
10. F. Maggi , M. Novack. Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature, Archive for Rational Mechanics and Analysis 248 (2024), no. 87. pdf file
9. M. Novack, X. Yan . A smectic liquid crystal model in the periodic setting, Nonlinear Analysis 228 (2023) . pdf file
8. M. Novack, I. Topaloglu , R. Venkatraman . Least Wasserstein distance between disjoint shapes with perimeter regularization, Journal of Functional Analysis 284 (2023), issue 1 . pdf file
7. M. Novack, X. Yan . Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness, Calculus of Variations and Partial Differential Equations 61 (2022), no. 157. pdf file
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 . pdf file
5. M. Novack, X. Yan . Compactness and sharp lower bound for a 2D smectics model, Journal of Nonlinear Science 31 (2021), no. 60. pdf file
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. pdf file
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. pdf file
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. pdf file
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. pdf file
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