Giovanni Eugenio Comi
Postdoc in the workgroup of Prof. Thomas Schmidt
Office hours:
on appointment by email
Teaching:
Research topics:
Geometric Measure Theory, Calculus of Variations
In particular: Divergencemeasure fields, weak GaussGreen formulas, fractional Sobolev and BV spaces
CvGmt (Calculus of Variations and Geometric Measure Theory website), Scholar and ResearchGate profiles
Publications
 E. Bruè, M. Calzi, G. E. Comi and G. Stefani, A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II, preprint (2020).
 A. Carbotti and G. E. Comi, A note on RiemannLiouville fractional Sobolev spaces, Communications on Pure and Applied Analysis (2020).
 A. Nikishova, G. E. Comi and A. G. Hoekstra, Sensitivity analysis based dimension reduction of multiscale models, Mathematics and Computers in Simulation, 170: 205220 (2020).
 G. E. Comi and V. Magnani, The GaussGreen theorem in stratified groups, Adv. Math. 360: 106916 (2020).
 G. E. Comi and G. Stefani, A distributional approach to fractional bounded variation: asymptotics I, preprint (2019).
 V. Buffa, G. E. Comi and M. Miranda Jr., On BV functions and essentially bounded divergencemeasure fields in metric spaces, preprint (2019).
 G. E. Comi and G. Stefani, A distributional approach to fractional bounded variation: existence of blowup, Journal of Functional Analysis, 277(10):33733435 (2019).
 G.Q. G. Chen, G. E. Comi and M. Torres, Cauchy fluxes and GaussGreen formulas for divergencemeasure fields over general open sets, Archive for Rational Mechanics and Analysis, 233(1):87166 (2019).
 G. E. Comi, R. J. Fitzner, S. Kolumbán, F. P. Pijpers, R. M. Pires da Silva Castro, R. A. J. Post and A. J. Vromans, Causal effects of government decisions on earthquakes in Groningen, In Proceedings of Study Group Mathematics with Industry 2018 (2018).
 G. E. Comi, BMOtype norms and anisotropic surface measures, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 29(3):431437 (2018).
 L. Ambrosio and G. E. Comi, Anisotropic surface measures as limits of volume fractions, In Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg, 132, Springer Optim. Appl., 135, Springer, Cham (2018).
 G. E. Comi and K. R. Payne, On locally essentially bounded divergence measure fields and sets of locally finite perimeter, Adv. Calc. Var. (2017).
 G. E. Comi and M. Torres, Onesided approximation of sets of finite perimeter, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 28(1):181190 (2017).
PhD Thesis : Refined GaussGreen formulas and evolution problems for Radon measures, Scuola Normale Superiore, 2020 (Supervisors: Prof. L. Ambrosio and Prof. M. A. Peletier).
Master Thesis : Divergencemeasure fields: generalization of the GaussGreen formula with applications, Università degli Studi di Milano Statale, 2015 (Supervisor: Prof. K. R. Payne).
Conferences, Workshops and Scientific Talks
 UWA Zoom Analysis Seminar, University of Western Australia, Perth, Australia, 14 October 2020.
Talk: "Fractional Sobolev and BV spaces: a distributional approach".
 NCTS PDE & Analysis Seminar, AstronomyMathematics Building, NTU, Taipei, Taiwan, 03 October 2019.
Talk: "An overview on divergencemeasure fields and weak integration by parts formulas".
 Lothar Collatz Seminar, Geomatikum, Hamburg, Germany, 21 May 2019.
Talk: “Integration by parts formulas under weak regularity assumptions”.
 Workshop “Some topics of Geometric Analysis and Geometric Measure Theory”, Pisa, Italy, 1617 April 2019.
Talk: “A distributional approach to fractional Sobolev spaces and fractional variation: existence of blowup”.
 XXIX Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, Italy, 48 February 2019.
Talk: “A distributional approach to fractional Sobolev spaces and fractional variation: existence of blowup”.
 Talk: "The GaussGreen formulas for divergencemeasure fields and sets of finite perimeter", Università degli Studi di Ferrara, 18 July 2018.
 Talk: "Divergencemeasure fields and the GaussGreen formulas", Università degli Studi di Modena e Reggio Emilia, 8 May 2018.
 Workshop “Vector Fields, Surfaces and Perimeters in Singular Geometries”, Ferrara, Italy, 2728 February 2018.
Talk: “The GaussGreen theorem in stratified groups”.
 Workshop “From Regensburg to Pisa: two days of Analysis under the Leaning Tower”, Pisa, Italy, 30 June  1 July 2017.
Talk: “Anisotropic surface measures as limits of volume fractions”.
 PDE CDT Lunchtime Seminar, Mathematical Institute, Oxford, United Kingdom, 8 June 2017.
Talk: “Divergencemeasure fields: an overview of the generalizations of the GaussGreen formulas”.
 XXVII Convegno Nazionale di Calcolo delle Variazioni, Levico Terme, Italy, 610 February 2017.
Talk: “Anisotropic surface measures as limits of volume fractions”.
 "Divergencemeasure fields: generalizations of GaussGreen formula", Technische Universität Dresden, 26 May 2016.
 " Divergencemeasure fields: generalizations of GaussGreen formula with applications", Università Statale di Pisa, 2 March 2016.
