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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

- Homepage: Bernardo González Merino 

- Habilitation's talk next 20/03/2017 at 02.04.011

- 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, A. Polyanskii, G. Wachsmuth, Hunting for reduced polytopes , arXiv:1701.08629.

-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? , accepted in Advances in Geometry, February 2017.

-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 , Israel Journal of Mathematics, 218 (2017), no. 1, 489--510.

-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.

Research Unit M9


Department of Mathematics
Boltzmannstraße 3
85748 Garching b. München
Germany
phone:+49 89 289-16858
fax:+49 089 289-16859
sekretariat-m9ma.tum.de

Professors

Prof. Dr. Peter Gritzmann
Applied Geometry and Discrete Mathematics

Prof. Dr. Andreas S. Schulz
Mathematics of Operations Research
(affiliated member of M9)

Prof. Dr. Stefan Weltge
Discrete Mathematics

News

April 2018
Case Studies 2018: Save the date: Case Studies poster presentation on May 25th, 2018, final workshop on July 7th, 2018.