Curriculum vitae

Research interests

Geometric analysis, partial differential equations, calculus of variations, geometric measure theory and optimal transport.

Academic Position

• 2023:                  Associate Professor (with tenure).
                                  Department of Mathematics, University of Maryland, College Park, MD, USA

• 2020-2023:    Assistant Professor.
                                  Department of Mathematics, University of Maryland, College Park, MD, USA
                                  Other affiliations: Affiliate faculty of the Applied Mathematics & Statistics, and Scientific Computation (AMSC) program, UMD.
  Fall 2021:         Department of Decision Sciences and BIDSA, Bocconi University, Milano, Italy.    

• 2017-2020:    Assistant Professor/Courant Instructor.
                                  Courant Institute of Mathematical Sciences, New York University, New York, NY, USA

Education

• 2014-2017:  Ph.D. in mathematics - University of Zurich.
  Advisors: Prof. Camillo De Lellis and Prof. Guido De Philippis.
  Thesis: Anisotropic energies in geometric measure theory. 
  Awarded with Distinction and money prize (1.000 Chf): top 5% of the PhD candidates.

• 2013-2014:  Master 2 of Research : PDEs and Scientific Computing - University “Paris-Sud”, Orsay.
  Advisors: Prof. Antonin Chambolle and Prof. Benoît Merlet.
  Thesis: Continuous solutions for the divergence equation. Grade : Bien.

• 2014:  Stage of Research (1/3/2014-30/6/2014) - CMAP - “Ecole Polytechnique” - CNRS, France

• 2012-2014:  Master in Mathematics - University of Naples “Federico II”.
  Advisor: Prof. Bianca Stroffolini.
  Thesis: Continuous solutions for the divergence equation. Grade : 110/110 cum laude

• 2009-2012:  Bachelor in Mathematics - University of Naples “Federico II”.
  Advisor: Prof. Massimiliano Berti.
  Thesis: Conservation Laws and Transport Phenomena. Grade : 110/110 cum laude

• 2009:  Scientific High School Diploma - High School “S.Cantone”, Pomigliano d’Arco (Naples). Grade : 100/100 cum laude

Grants

• 2023-2028: ERC Starting Grant 2022, 101076411 (1.492.700 EUR). Single PI.

• 2023-2026: AFOSR grant FA9550-23-1-0123 - Air Force Office of Scientific Research - Mathematical Optimization Program (389.135 USD). Co-PI with Aida Khajavirad.

• 2022-2027: NSF DMS CAREER Award 2143124 (450.000 USD). Single PI.

• 2022-2024: NSF DMS Award 2149913 (480.525 USD). PIs are M. Cameron and W. Czaja. I am one of 6 Senior Personnel. 

• 2019-2022: NSF DMS Award 1906451 - 2112311 (124.242 USD). Single PI. 

• 2019-2021: AMS Simons travel grant (4.000 USD). Single PI.

• 2016: Graduate Campus (GRC) Grant Grant 2016_Q3_G04, University of Zurich (9.896 CHF). I was one of 6 Co-PIs. 

Prizes

• 2023: 2023 Maryland Research Excellence.

• 2019: Carlo Ciliberto Prize 2019 (1.500 EUR): for researchers in Mathematical Analysis.

• 2017: Year Prize of the Science Faculty of the University of Zurich - Distinction for Ph.D. Thesis (Amount: 1.000 CHF).

• 2013: Excellence Master Fellowship of the “Fondation mathematique Jacques Hadamard (FMJH)”   (10.000 EUR).

• 2012: Excellence Bachelor full scolarship.

• 2009: Prize of the Italian Ministry of Education for high school diploma grade cum laude.

• 2009: Honourable mention at the XXV National Mathematical Olympiad.

• 2009: Honourable mention at XVI “Certamen Ennianum”.

Other recognitions

• 2023: Abilitazione Scientifica Nazionale, Prima Fascia, Settore Concorsuale 01/A3.

• 2020: Abilitazione Scientifica Nazionale, Seconda Fascia, Settore Concorsuale 01/A3.

• 2019: US Junior Oberwolfach Fellow.

• 2018: US Junior Oberwolfach Fellow. 

• 2018: Qualification as “Maître de conférences” in Sections 25-26.

• 2017: Oberwolfach Leibniz Graduate Student (OWLG).

Publications

Journal publications 

1. Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds. A. De Rosa, and R. Neumayer. Indiana University Mathematics Journal. 2024. ArXiv:2308.04565

2. The anisotropic Min-Max theory: Existence of anisotropic minimal and CMC surfaces. G. De Philippis, and A. De Rosa. Communications on Pure and Applied Mathematics. Volume 77, Issue 7, Pages 3184–3226, 2024.

3. Boundary regularity for anisotropic minimal Lipschitz graphs. A. De Rosa, and R. Resende. Communications in Partial Differential Equations. Volume 49, Issue 1-2, Pages 15-37, 2024.

4. Efficient Joint Object Matching via Linear Programming. A. De Rosa, and A. Khajavirad. Mathematical Programming. Volume 202, Pages 1–46, 2023.

5. Regularity for graphs with bounded anisotropic mean curvature. A. De Rosa, and R. Tione. Inventiones mathematicae. Volume 230, Pages 463-507, 2022.

6. The ratio-cut polytope and K-means clustering. A. De Rosa, and A. Khajavirad. SIAM Journal on Optimization. Volume 32, Issue 1, Pages 173-203, 2022.

7. Stability of optimal traffic plans in the irrigation problem. M. Colombo, A. De Rosa, A. Marchese, P. Pegon, and A. Prouff. Discrete and Continuous Dynamical Systems. Volume 42, Issue 4, Pages 1647-1667, 2022. 

8. On the anisotropic Kirchhoff-Plateau problem. A. De Rosa, and L. Lussardi. Mathematics in Engineering. Volume 4, Issue 2, Pages 1-13, 2022.

9. On the well-posedness of branched transportation. M. Colombo, A. De Rosa, and A. Marchese. Communications on Pure and Applied Mathematics. Volume 74, Issue 4, Pages 833-864, 2021.

10. Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces. A. De Rosa, and S. Gioffrè. Journal für die reine und angewandte Mathematik. Volume 2021, Issue 780, Pages 1-40, 2021.

11. A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties. A. De Rosa, and D. A. La Manna. Communications on Pure and Applied Analysis. Volume 20, Number 5, Pages 2101-2116, 2021.

12. Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets. A. De Rosa, S. Kolasiński, and M. Santilli.  Archive for Rational Mechanics and Analysis. Volume 238, Issue 3, Pages 1157–1198, 2020.

13. Equivalence of the ellipticity conditions for geometric variational problems. A. De Rosa, and S. Kolasiński. Communications on Pure and Applied Mathematics. Volume 73, Issue 11, Pages 2473-2515, 2020. 

14. Existence results for minimizers of parametric elliptic functionals. G. De Philippis, A. De Rosa, and F. Ghiraldin. Journal of Geometric Analysis. Volume 30, Issue 2, Pages 1450–1465, 2020.

15. The Area Blow Up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals. G. De Philippis, A. De Rosa, and J. Hirsch. Discrete and Continuous Dynamical Systems. Volume 39, Issue 12, Pages 7031-7056, 2019.

16. Stability for the mailing problem.  M. Colombo, A. De Rosa, and A. Marchese. Journal de Mathématiques Pures et Appliquées. Volume 128, Pages 152-182, 2019.

17. Quantitative stability for anisotropic nearly umbilical hypersurfaces. A. De Rosa, and S. Gioffrè. Journal of Geometric Analysis. Volume 29, Issue 3, Pages 2318-2346, 2019.

18. A direct approach to the anisotropic Plateau’s problem. C. De Lellis, A. De Rosa, and F. Ghiraldin.  Advances in Calculus of Variations. Volume 12 Issue 2, Pages 211-223, 2019.

19. Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies. G. De Philippis, A. De Rosa, and F. Ghiraldin.  Communications on Pure and Applied Mathematics. Volume 71, Issue 6, Pages 1123-1148, 2018.

20. Minimization of anisotropic energies in classes of rectifiable varifolds. A. De Rosa. SIAM Journal on Mathematical Analysis. Volume 50, No. 1, Pages 162-181, 2018.

21. Improved stability of optimal traffic paths. M. Colombo, A. De Rosa, and A. Marchese. Calculus of Variations and Partial Differential Equations. Volume 57, Issue 28,  2018.

22. On the lower semicontinuous envelope of functionals defined on polyhedral chains. M. Colombo, A. De Rosa, A. Marchese, and S. Stuvard. Nonlinear Analysis. Volume 163C, Pages 201-215, 2017.

23. A direct approach to Plateau’s problem in any codimension. G. De Philippis, A. De Rosa, and F. Ghiraldin. Advances in Mathematics. Volume 288, Pages 59-80, 2016.

Submitted papers

24. On the power of linear programming for K-means clustering. A. De Rosa, and A. Khajavirad. Submitted. 2024. ArXiv:2402.01061

25. Construction of fillings with prescribed Gaussian image and applications. A. De Rosa, Y. Lei, and R. Young.   Submitted. 2024. ArXiv:2401.10858

26. The double and triple bubble problem for stationary varifolds: the convex case. A. De Rosa, and R. Tione. Submitted. 2023. ArXiv:2301.10705

27. Explicit convex hull description of bivariate quadratic sets with indicator variables. A. De Rosa, and A. Khajavirad. Submitted. 2022. ArXiv: 2208.08703

Interdisciplinary papers

28. Functional changes in prefrontal cortex following frequency-specific training. L. Bach-Morrow, F. Boccalatte, A. De Rosa, D. Devos, C. Garcia-Sanchez, M. Inglese, A. Droby. Nature Scientific Reports. 12, Article number: 20316, 2022.

29. Proposing an Unbiased Oxygen Reduction Reaction Onset Potential Determination by Using a Savitzky-Golay Differentiation Procedure. G. de Falco, M. Florent, A. De Rosa, T.J. Bandosz, Journal of Colloid and Interface Science. Volume 586, Pages 597-600, 2021.

Reports and Proceedings

30. Min-max construction of anisotropic CMC surfaces. A. De Rosa. Calculus of Variations. Oberwolfach Reports. DOI: 10.14760/OWR-2022-37 (Lia Bronsard, László Székelyhidi, Yoshihiro Tonegawa, Tatiana Toro), 2022.

31. Regularity of anisotropic minimal surfaces. A. De Rosa. Partial Differential Equations. Oberwolfach Reports. DOI: 10.4171/OWR/2021/35 (Guido De Philippis, Richard Schoen, Felix Schulze), 2021.

32. Anisotropic counterpart of Allard’s rectifiability theorem and applications. A. De Rosa. Calculus of Variations. Oberwolfach Reports. Volume 15, no. 3, Pages 2077-2156 (Alessio Figalli, Robert V. Kohn, Tatiana Toro, Neshan Wickramasekera), 2019.

Teaching experience

Instructor

At University of Maryland:

• Spring 2023: Partial Differential Equations II (graduate) - Evaluation: 3.9/4

• Fall 2022: Geometric Analysis (graduate) - Evaluation: 3.8/4

• Spring 2021: Partial Differential Equations - Evaluation: 3.9/4

• Fall 2020: Honors Calculus III - Evaluation: 3.8/4

At Bocconi University:

• Fall 2021: Advanced analysis and optimization - Evaluation: 9.3/10

• Spring 2024:  Optimization

At Courant Institute:

• Spring 2020: Honors Analysis I - Evaluation: 4.6/5

• Fall 2019: Analysis - Evaluation: 4.7/5

• Spring 2019: Analysis - Evaluation: 4.8/5

• Fall 2018: Calculus 1 - Evaluation: 4.0/5

• Spring 2018: Calculus 1 - Evaluation: 4.4/5

• Fall 2017: Mathematics for Economics I - Evaluation: 4.3/5

Recitation lecturer 

At University of Zurich:

• Spring 2017: Introduction to probability

• Fall 2016: Analysis 1 for Mathematics

• Spring 2016: Convex Optimization (graduate)

• Fall 2015: Analysis for the Natural Sciences

• Spring 2015: Convex Optimization (graduate)

• Fall 2014: ODEs and dynamical systems

Mentoring

• 2023: REU (Research Experience for Undergraduates) at University of Maryland - 8 weeks (June 12th to August 4th):
  Geometric measure theory in optimal transport, geometric flows, and minimal surfaces.

• 2021: Postdoctoral advisor of Giulia Bevilacqua supported by Ermenegildo Zegna Founder’s Scholarship.

• 2021: Advisor for the REU of the undergraduate student Nicholas Baranello at University of Maryland.

• 2016-2019: Co-mentor of the PhD student Stefano Gioffré at University of Zurich (main advisor C. De Lellis). 

• 2017-2018: Advisor of the undergraduate student Dominic Louis Wynter at Courant Institute, NYU. Awarded the Hollis Cooley Memorial Prize for his thesis. (Now PhD student at University of Cambridge, UK). 

• 2017-2018: Advisor of the undergraduate student Jeffrey Kober at Courant Institute, NYU. 

• 2016-2017: Co-mentor of the master student Simone Steinbrüchel at University of Zurich (main advisor C. De Lellis).

Conference talks

1. 21.07.2025, “Geometric Variational Problems in Smooth and Nonsmooth Metric Spaces”, Mathematical Congress of the Americas, University of Miami, July 21-25, 2025.

2. 19.05.2025, “PDE conference in Hong Kong”, HKUST, May 19-23, 2025.

3. 19.10.2024, “Nonlocal Analysis and Geometric Measure Theory”, Fall 2024 AMS Eastern Sectional Meeting, University at Albany, NY, October 19-20, 2024.

4. 22.07.2024, “Geometry of Measures and Free Boundaries; a Conference in Honor of Tatiana Toro”, Seattle, July 22-26, 2024.

5. 27.06.2024, “Regularity Theory for Free Boundary and Geometric Variational Problems IV”, Levico Terme, June 24-28, 2024. 

6. 03.06.2024, “PDE in Moab: Advances in Theory and Applications”, Utah State University, Moab, June 3-7, 2024.

7. 13.02.2024, “XXXIII Convegno Nazionale di Calcolo delle Variazioni”, Riccione, February 12-16, 2024. 

8. 15.08.2022, “Calculus of Variations, Oberwolfach”, August 14-20, 2022.

9. 15.07.2022, “Regularity Theory for Free Boundary and Geometric Variational Problems II”, Pisa, July 10-15, 2022.

10. 29.07.2021, “Partial Differential Equations, Oberwolfach”, July 25–31, 2021.

11. 11.06.2021, “Workshop on Minimal Surfaces and Related Topics”, Tongji University, Shanghai, June 11-13, 2021.

12. 06.01.2021, “JMM 2021 Special Session 53A: PDEs in optimization, control, and games”, Washington, DC, January 6-9, 2021.

13. 04.10.2020, “AMS Fall Eastern Sectional Meeting”, Pennsylvania State University, October 3-4, 2020.

14. June 2020,   “The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications” (rescheduled due to COVID-19), Atlanta, 2020.

15. 19.09.2019, “Dynamics, Equations and Applications, (DEA 2019)”, AGH, Kraków, September 16–20, 2019.

16. 22.10.2018, “Kinetic descriptions in theory and applications”, University of Maryland, October 22–26, 2018.

17. 30.07.2018, “Calculus of Variations, Oberwolfach”, July 29–August 04, 2018.

18. 16-20.07.2018, PCMI Summer Session (IAS): “Harmonic Analysis”, July 1–21, Park City, Utah, 2018.

19. 18.07.2018, PCMI Summer Session (IAS): “Harmonic Analysis”, July 1–21, Park City, Utah, 2018.

20. 12.07.2018, “2018 Seminar on Geometric Measure Theory, Varifolds, and Their Applications”, Portland State University, Oregon, July 9–12, 2018.

21. 19.02.2018, “Kinetic models in biology and social sciences”, Arizona State University, February 19–23, 2018.

22. 09.10.2017, “Current trends in kinetic theory”, University of Maryland, October 9–13, 2017.

23. 08.02.2017, “XXVII Convegno nazionale di calcolo delle variazioni”, Levico Terme, February 6–10 2017.

24. 27.05.2016, “New Trends in Calculus of Variations”, Accademia Nazionale dei Lincei, Rome.

Seminar talks

25. 16.05.2024, Analysis Seminar, SISSA, Trieste.

26. 25.03.2024, Analysis Seminar, Sapienza University of Rome.

27. 07.11.2023, Center for Nonlinear Analysis Seminar, Carnegie Mellon University.

28. 02.11.2023, Colloquium, Rutgers University, Newark.

29. 01.11.2023, Differential Geometry & Geometric Analysis Seminar, Princeton University.

30. 27.04.2023, Virtual Analysis and PDE Seminar, The University of California, Los Angeles.

31. 27.04.2023, Virtual PDE seminar, Beijing Normal University.

32. 04.04.2023, Geometric Analysis Seminar, University of Chicago, Chicago.

33. 24.03.2023, Geometric Analysis and Topology Seminar, Courant Institute of Mathematical Sciences, NYU.

34. 21.03.2023, ISE Seminar, Lehigh University.

35. 28.02.2023, Center for Nonlinear Analysis Seminar, Carnegie Mellon University.

36. 24.02.2023, Rutgers University, Newark.

37. 09.02.2023, Differential Geometry Seminar, University of California San Diego, San Diego.

38. 05.12.2022, PDE/Applied Math seminar, Indiana University Bloomington.

39. 15.11.2022, Geometric Analysis Seminar (postponed to April 4th, 2023), University of Chicago, Chicago.

40. 04.11.2022, Analysis, Logic and Physics Seminar (ALPS), Virginia Commonwealth University.

41. 24.10.2022, Analysis and Geometric Analysis Seminar, Cornell University.

42. 07.10.2022, Geometry & Analysis Seminar, Columbia University, New York.

43. 26.09.2022, Geometric Analysis Seminar, Iowa State University.

44. 23.09.2022, Mathematics Colloquium, Howard University.

45. 25.08.2022, PDE Seminar via Zoom 2022.

46. 26.07.2022, Analysis seminar, National University of Singapore.

47. 27.04.2022, Colloquium, University of Maryland, College Park.

48. 25.04.2022, Johns Hopkins University, Baltimore.

49. 22.12.2021, Nonlinear Analysis Seminar, Rutgers University, New Brunswick.

50. 29.11.2021, Analysis and Applied Math seminar, University of Illinois at Chicago.

51. 18.11.2021, Analysis seminar, University of Trento.

52. 12.11.2021, Departmental Applied Math Colloquium, University of Maryland Baltimore County.

53. 04.11.2021, Geometry and Algebra Seminar, University of L'Aquila.

54. 07.09.2021, Online Seminar Geometric Analysis, University of Salzburg - University of Halle - University of Pittsburgh - University of Freiburg

55. 18.05.2021, Colloquium Talk, Bocconi University. 

56. 13.04.2021, Mathematics Colloquium, City College of New York, New York.

57. 15.12.2020, Differential Equations in Warsaw, Warsaw.

58. 04.12.2020, EPFL, Lausanne.

59. 14.10.2020, CSCAMM Seminar, University of Maryland, College Park.

60. 06.10.2020, Geometric Analysis Seminar, Rutgers University, New Brunswick.

61. 29.05.2020, The London Geometry and Topology Seminar, Imperial College London.

62. 06.05.2020, Calculus of Variations Seminar, University of Pisa, Pisa.

63. 21.02.2020, Colloquium Talk, University of Puerto Rico.

64. 30.01.2020, Analysis Seminar, University Federico II of Naples, Naples.

65. 22.01.2020, EPFL, Lausanne.

66. 09.01.2020, Georgia Institute of Technology, Atlanta.

67. 26.11.2019, PDE-Applied Math Seminar, University of Maryland, College Park.

68. 15.11.2019, Analysis Special Lecture, University of Pennsylvania, Philadelphia.

69. 13.11.2019, Special Seminar, North Carolina State University, Raleigh.

70. 18.10.2019, Nonlinear PDEs Seminar, University of California Irvine, Irvine.

71. 17.10.2019, Analysis Seminar, University of California San Diego, San Diego.

72. 08.10.2019, Geometric Analysis Seminar, University of Chicago, Chicago.

73. 12.06.2019, Analysis Seminar, Tokyo Institute of Technology, Tokyo.

74. 11.06.2019, Analysis Seminar, The University of Tokyo, Tokyo.

75. 03.06.2019, Analysis Seminar, TU Delft.

76. 28.05.2019, Excellence Project Seminar DISMA, Politecnico di Torino.

77. 14.05.2019, Geometry/Topology Seminar, University of California, Davis.

78. 10.05.2019, UCSB Differential Geometry Seminar, University of California, Santa Barbara.

79. 25.04.2019, Analysis Seminar, University of Pennsylvania.

80. 18.04.2019, Analysis Seminar, Stony Brook University, New York.

81. 12.04.2019, Geometric Analysis Colloquium, Fields Institute, Toronto.

82. 07.02.2019, Analysis Seminar, Courant Institute of Mathematical Sciences, New York University.

83. 23.01.2019, Geometric function and mapping theory Seminar, IMPAN, Warsaw.

84. 04.12.2018, Rainwater Seminar, University of Washington, Seattle.

85. 28.09.2018, Geometry & Analysis Seminar, Columbia University, New York.

86. 25.09.2018, Geometric Analysis Seminar, CUNY, New York.

87. 18.06.2018, Analysis Seminar, University of Parma, Parma.

88. 08.06.2018, University of Konstanz, Konstanz.

89. 01.06.2018, Analysis Seminar, University Grenoble Alpes.

90. 31.05.2018, Applied Seminar, University Grenoble Alpes.

91. 28.05.2018, GdT Calcul des Variations, LJLL, University Paris Diderot.

92. 22.05.2018, Applied Mathematics Seminar, University of Pavia, Pavia.

93. 02.05.2018, Differential Geometry & Geometric Analysis Seminar, Princeton University.

94. 26.03.2018, Analysis and Partial Differential Equations Seminar, Johns Hopkins University, Baltimore.

95. 14.03.2018, Analysis Seminar, University Federico II of Naples, Naples.

96. 01.11.2017, Rutgers University, New Brunswick.

97. 20.10.2017, Courant Institute of Mathematical Sciences, NYU.

98. 28.09.2017, Geometric Analysis and Topology Seminar, Courant Institute of Mathematical Sciences, NYU.

99. 29.03.2017, Calculus of Variations Seminar, University of Pisa, Pisa.

100. 23.02.2017, University of Sussex, Brighton.

101. 22.02.2017, Geometry Seminar, King’s College London and University College London, London.

102. 21.12.2016, Analysis Seminar, University Federico II of Naples, Naples.

103. 31.05.2016, Graduate Colloquium, Joint Math Seminar of ETH and UZH, Zurich.

104. 12.05.2016, 19.05.2016, Reading Seminar, ETH, Zurich.

105. 18.03.2016, Analysis Seminar, Max-Planck-Institut, Leipzig.

Research affiliation

• Since 2023: Member of the American Mathematical Society.

• 2020: Full Member of Sigma Xi: The Scientific Research Honor Society.

Languages

Italian (Mother tongue) - English (fluent) - French (intermediate) - German (intermediate) - Spanish (basic)