Goethe-Universität —

Wintersemester 2020/2021

Proseminar Kurven und konvexe Funktionen (Blockveranstaltung)

15. - 19.03.2021, Raum 901

Merkblatt

Archiv

Wintersemester 2018/2019

Blockseminar über Minimalflächen
(gem. mit Prof. Dr. Andreas Bernig)

11. - 15.03.2019, 10-16 Uhr, Raum 901

Wintersemester 2016/17:

Vorlesung Liegruppen

Wintersemester 2015/16:

Vorlesung Integrationstheorie

Sommersemester 2014:

Tutorium zur Vorlesung Einführung in die lineare Funktionalanalysis (Prof. Weth)

Wintersemester 2013/14:

Tutorium zur Vorlesung Riemannsche Geometrie (Prof. Cabezas-Rivas)

Sommersemester 2013:

Vorlesung Fourieranalysis und konvexe Mengen

Publications:

(with A. Bernig and S. Dann) Flag area measures. Mathematika, 65, 958-989, 2019.

(with K. Jr. Böröczky, M. Domokos, and D. Kertész) SL(m,C)-equivariant and translation covariant continuous tensor valuations. Journal of Functional Analysis, 276, no. 11, 3325-3362, 2019.

(with A. Colesanti and E. Saorín Gómez) Minkowski additive operators under volume constraints. The Journal of Geometric Analysis, 28, no. 3, 2422-2455, 2018.

(with H. Ahn, S. Bae, O. Cheong, S. Dann, D. Park, and C. Shin) Minimum Convex Container of Two Convex Polytopes under Translations. Computational Geometry: Theory and Applications., 77, 40-50, 2019.

(with A. Colesanti and E. Saorín Gómez) Minkowski valuations under volume constraints. Advances in Mathematics, 333, 118-158, 2018.

(with M.A. Hernández Cifre and E. Saorín Gómez) Mean projection and section radii of convex bodies. Acta Mathematica Hungarica, 155, no. 1, 89-103, 2018.

(with E. Saorín Gómez) The role of the Rogers-Shephard inequality in the characterization of the difference body. Forum Mathematicum, 29, no. 6, 1227-1243, 2017.

(with T. Wannerer) Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3. Calculus of Variations and Partial Differential Equations, 54, no. 2, 1767-1791, 2015.

(with E. Saorín Gómez) How do difference bodies in complex vector spaces look like? A geometrical approach. Communications in Contemporary Mathematics, 17, no. 4, 1450023, 32 pp., 2015.

Minkowski valuations in a 2-dimensional complex vector space. International Mathematics Research Notices, 2015, no. 5, 1247-1262, 2015.

(with E. Gallego) Convexity on complex hyperbolic space.Journal of Convex Analysis, 20, no. 2, 329-338, 2013.

Difference bodies in complex vector spaces.Journal of Functional Analysis, 263, no. 11, 3588-3603, 2012.

(with A. Reventós and C.J. Rodríguez) What did Gauss read in the Appendix? Historia Mathematica, 39, no. 3, 292-323, 2012.

(with E. Gallego and G. Solanes) Gauss-Bonnet theorem and Crofton type formulas in complex space forms.
Israel Journal of Mathematics, 187, 287-317, 2012.

(with A. Bernig) Projection bodies in complex vector spaces. Advances in Mathematics, 227, no. 2, 830-846, 2011.

Average of mean curvature integral in complex space forms. Advances in Geometry, 12, no. 3, 445-464, 2011.

Preprints:

(with A. Bernig) Additive kinematic formulas for flag area measures.

Popularization papers:

The difference body and the projection body in convex geometry. (Survey article for non-experts, in Catalan) Butlletí de la Societat Catalana de Matemàtiques, 32, no. 1, 5-44, 2017.

PhD Thesis:

Integral geometry in complex space forms. Universitat Autònoma de Barcelona, November 2009.

Master Thesis:

CH^n: l'espai, els convexos i l'infinit (in Catalan). Universitat Autònoma de Barcelona, June 2006.

Bachelor Thesis:

Introduction to Hyperbolic Geometry with Sketchpad. Universitat Autònoma de Barcelona, June 2004.

For further information please visit my personal webpage hosted by the Department of Mathematics at the Universitat Autònoma de Barcelona.
English version. Catalan version.