Dr. Bernardo González Merino

Foto Zentrum Mathematik
Technische Universität München
D-85747 Garching bei München

Weitere Details zur Postanschrift

Büro: 02.04.036
Tel.: +49 89 289-16865
Fax: +49 89 289-16859
E-Mail: bg.merinotum.de

Sprechzeiten:
während des Semesters:nach Vereinbarung
in der vorlesungsfreien Zeit:nach Vereinbarung

Lehrtätigkeit

Aktuelles Semester // Present semester

- Selected topics on Convex and Discrete Geometry, MA5223 (Master during Winter Semester 2016/17).

Vergangene Semester

Research

List of Publications:

-R. Brandenberg, B. González Merino, Minkowski concentricity and complete simplices , arXiv:1612.06767.

-B. González Merino, T. Jahn, G. Wachsmuth, Hunting for reduced polytopes , arXiv:1607.08125.

-B. González Merino, M. Henze, On densities of lattice arrangements intersecting every i-dimensional affine subspace , arXiv:1605.00443.

-G. Averkov, B. González Merino, M. Henze, I. Paschke, S. Weltge, Tight bounds on discrete quantitative Helly numbers , arXiv:1602.07839.

-R. Brandenberg, B. González Merino, T. Jahn, H. Martini, Is a complete, reduced set necessarily of constant width? , arXiv:1602.07531.

-D. Alonso-Gutiérrez, B. González Merino, C. H. Jiménez, R. Villa, John's ellipsoid and the integral ratio of a log-concave function , accepted in Journal of Geometric Analysis, February 2017.

-D. Alonso-Gutiérrez, B. González Merino, C. H. Jiménez, R. Villa, Rogers-Shephard inequality for log-concave functions , Journal of Functional Analysis, 271 (2016), no. 11, 3269--3299.

-B. González Merino, M. Henze, On densities of lattice arrangements intersecting every i-dimensional affine subspace , Oberwolfach Preprints, Mathematisches Forschungsinstitut Oberwolfach, 2016.

-B. González Merino, Improving bounds for the Perel'man-Pukhov quotient for inner and outer radii , accepted in Journal of Convex Analysis, June 2016.

-R. Brandenberg, B. González Merino, The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant , accepted in Israel Journal of Mathematics, March 2016.

-R. Brandenberg, B. González Merino, A complete 3-dimensional Blaschke-Santaló diagram , Mathematical Inequalities and Applications, 20 (2017), no. 2, 301--348.

-B. González Merino, M. Henze, A generalization of the discrete version of Minkowski's fundamental theorem , Mathematika, 62 (2016), no. 3, 637--652.

-B. González Merino, N. Jonard-Pérez, A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of R^n , Topology and its Applications, 194 (2015), 125--143.

-B. González Merino, M. Henze, A generalization of the discrete version of Minkowski's fundamental theorem , Oberwolfach Preprints, Mathematisches Forschungsinstitut Oberwolfach, 2014.

-D. Alonso-Gutiérrez, B. González Merino, C. H. Jiménez, Volume inequalities for the i-th-Convolution bodies , Journal of Mathematical Analysis and Applications, 424 (2015), no. 1, 385--401.

-B. González Merino, M. A. Hernández Cifre, A. Hinrichs, Successive radii of families of convex bodies , Bulletin of the Australian Mathematical Society, 91 (2015), no. 1, 331--344.

-B. González Merino, M. Henze, A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints , Journal of Geometry, 106 (2015), no. 1, 75--83.

-B. González Merino, On the families of successive radii and the sum of convex sets , Beiträge für Algebra und Geometrie, 55 (2014), no. 2, 433--440.

-B. González Merino, M. A. Hernández Cifre, On successive radii and p-sums of convex bodies , Advances in Geometry, 14 (2014), no. 1, 117--128.

-B. González Merino, On the ratio between successive radii of a symmetric convex body , Mathematical Inequalities and Applications, 16 (2013), no. 2, 569--576.

-B. González Merino, M. A. Hernández Cifre, Successive radii and Minkowski addition , Monatshefte für Mathematik, 166 (2012), no. 3-4, 395--409.

Teaching

- Selected topics on Convex and Discrete Geometry (Lecturer and organizer. Technische Universität München, 16-17).

- Fundamentals of Convex Optimization (Exercise lectures. Technische Universität München, 14-15).

- Linear Algebra and Calculus (Exercise lectures. 1st year, Optics and Optometry, Uni. Murcia, 12-13).

- Geometry and Statistics (Exercise lectures. 1st year, Optics and Optometry, Uni. Murcia, 11-12).

- Linear Algebra and Calculus (Exercise lectures. 1st year, Optics and Optometry, Uni. Murcia, 11-12).

- Geometry and Statistics (Exercise lectures. 1st year, Optics and Optometry, Uni. Murcia, 10-11).

- Linear Algebra and Calculus (Exercise lectures. 1st year, Optics and Optometry, Uni. Murcia, 10-11).

- Basics of Mathematics in Biotechnology (Exercise lectures. 1st year, Biotechnology, Uni. Murcia, 10-11).

- Geometry and Statistics (Exercise lectures. 1st year, Optics and Optometry, Uni. Murcia, 09-10).

- Linear Algebra and Calculus (Exercise lectures. 1st year, Optics and Optometry, Uni. Murcia, 09-10).

Latest/Upcoming talks

- Two Minkowski-type theorems in the Geometry of Numbers , research seminar at IMUS, University of Sevilla, February 15th 2017, Spain.

- Sobre las clases de cuerpos convexos y reducidos , Bianual Congress of the RSME, January 30th to February 3rd 2017, Zaragoza, Spain.

- On the classes of complete and reduced convex sets , Saxonian Geometry Day, December 8-9th 2016, Chemnitz, Germany.

- Rogers-Shephard and John theorems in the Theory of log-concave functions , 7th European Congress of Mathematics, July 18-22nd 2016, Berlin, Germany.

- On the missing boundary of the (r, D, R)-diagram , Discrete Geometry Days, June 21-24th 2016, Budapest, Hungary.