
Salvatore Stuvard
Instructor
Department of Mathematics
R. H. Bing Fellowship in Mathematics No. 1stuvard@math.utexas.edu
Phone: 5124711141
Office Location
PMA 10.132
Postal Address
2515 SPEEDWAY
AUSTIN, TX 78712

 Born in Pompei (NA), Italy;
 Italian citizen;
 Speaks English (fluent), Italian (mothertongue), German (intermediate).
Academic Positions
2018  present: Bing Instructor of Mathematics @ The University of Texas at Austin
2017  2018: Postdoctoral Researcher @ The University of Texas at Austin
Education
2013  2017: Ph.D. in Mathematics, University of Zurich, Switzerland
2010  2013: M.Sc. in Mathematics, University of Naples, Italy
2007  2010: B.Sc. in Mathematics, University of Naples, Italy

Broadly speaking, I am interested in the analysis of the regularity properties and the structure of the singularities of solutions to variational problems with an underlying geometric or physical relevance, following an approach which tries to combine stateoftheart techniques in Calculus of Variations, PDE, and Geometric Measure Theory. Topics that fascinate me, and on which I have worked (or am working) include:
 minimal surfaces;
 harmonic maps;
 branched optimal transport;
 geometric flows.

All my research is available for consultation and download on the arXiv and CVGMT portals
Publications and Preprints
 Dynamical instability of minimal surfaces at flat singular points, with Y. Tonegawa; submitted
 Smoothness of collapsed regions in a capillarity model for soap films, with D. King and F. Maggi; submitted
 Collapsing and the convex hull property in a soap film capillarity model, with D. King and F. Maggi; submitted
 An existence theorem for Brakke flow with fixed boundary conditions, with Y. Tonegawa; submitted
 Regularity of area minimizing currents mod $p$, with C. De Lellis, J. Hirsch, and A. Marchese; to appear on Geom. Funct. Anal.
 Area minimizing currents mod $2Q$: linear regularity theory, with C. De Lellis, J. Hirsch, and A. Marchese; to appear on Comm. Pure Appl. Math.
 Plateau's problem as a singular limit of capillarity problems, with D. King and F. Maggi; to appear on Comm. Pure Appl. Math.
 A multimaterial transport problem with arbitrary marginals, with A. Marchese, A. Massaccesi, and R. Tione; submitted
 Soap films with gravity and almostminimal surfaces, with F. Maggi and A. Scardicchio; Discrete Cont. Dyn. Syst. 39(12) (2019), 68776912
 Rectifiability of the singular set of multiplevalued energy minimizing harmonic maps, with J. Hirsch and D. Valtorta; Trans. Amer. Math. Soc. 371 (2019), no. 6, 43034352
 On the lower semicontinuous envelope of functionals defined on polyhedral chains, with M. Colombo, A. De Rosa, and A. Marchese; Nonlinear Anal. 163 (2017), 201–215
 Multiple valued sections of vector bundles: the reparametrization theorem for Qvalued functions revisited; to appear on Comm. Anal. Geom.
 Multiple valued Jacobi fields, Calc. Var. Partial Differential Equations 58 (2019), no. 3, Art. 92, 83 pp
 On the structure of flat chains modulo p, with A. Marchese; Adv. Calc. Var. 11 (2018), no. 3, 309–323

 Simons Travel Grant 2020 (2 yrs, 5000 USD)

In Fall 2020 I am teaching M408K  Differential Calculus (Unique Numbers 53295 and 53300).
Webpage on Canvas.
Previous Teaching:
Fall 2019: Instructor for M393C  Geometric Harmonic Maps, The University of Texas at Austin, Graduate School in Mathematics
Fall 2019: Instructor for M341  Linear Algebra & Matrix Theory, The University of Texas at Austin
Spring 2019: Instructor for M346  Applied Linear Algebra, The University of Texas at Austin
Fall 2018: Instructor for M361  Theory of Functions of a Complex Variable, The University of Texas at Austin
Spring 2017: T.A. for Analysis II, University of Zurich
Fall 2016: T.A. for Mathematical Statistics, University of Zurich
Spring 2016: T.A. for Introduction to Probability, University of Zurich
Fall 2015: T.A. for Mathematics for Chemistry I, University of Zurich
Spring 2015: T.A. for Introduction to Probability, University of Zurich
Fall 2014: T.A. for ODEs and Dynamical Systems, University of Zurich
Spring 2014: T.A. for Analysis II, University of Zurich
Fall 2013: T.A. for Geometry and Topology I, University of Zurich