Bruno Benedetti


Assistant Professor

Education: TU Berlin, 2010
Research Area: Geometric Combinatorics
Email: bruno@math.miami.edu
Office: Ungar 533
Tel: 305.284.8652


Currently teaching

   Survey of Modern Algebra
MATH 461 P, Spring 2019 - Syllabus
Anybody can count: 0,1,2,3... We all understand the natural numbers. But what about the other numbers? What is a fraction? What is a polynomial? Can we write √5 as a fraction? And why do we do geometry in the Cartesian plane RxR, aren't fractions and their roots enough? And many more questions: What are the last two digits of 15612012986? Why are 1/7, 2/7, 3/7, 4/7... all periodic, and why is the period always six digits long? This course will teach you an abstract approach that solves all of these questions. In addition, it allows you to understand better the world of vectors and matrices.

   Metric Geometry
MATH 785 R, Fall 2018 - Syllabus
The goal is to study together the theory of length metric spaces, and their connection with combinatorics.


Basic courses I taught

   Survey of Modern Algebra
MATH 461 G, Spring 2018 - Syllabus
MATH 461 D, Spring 2017 - Syllabus
MATH 461 D, Spring 2016 - Syllabus - a note on a non-UFD ring.

   Discrete Mathematics
MATH 309D, Spring 2018 - Syllabus

   Topology I
MATH 531O and 631O, Spring 2016 - Syllabus

   Linear Algebra
MATH 210 O, Fall 2015 - Syllabus - Weekly assignments

   Introduction to Ordinary Differential Equations
MATH 311 P, Fall 2015 - Syllabus - Weekly assignments

   Calculus II
MATH 162 G7, Spring 2017 - Syllabus
MATH 1342, Fall 2014 (at Northeastern University, Boston)


Summer schools and advanced courses

   Polytopes
MATH 786, Fall 2016 -- Syllabus
MATH 785 Q, Fall 2018 - Syllabus
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   Optimization methods for Mathematical Finance
MATH 645 S, Fall 2018 - Syllabus - simplex method


   At Institut Mittag-Leffler
   Applied Topology Schools
   Seminaire Lotharingien de Combinatoire
  • Lecture series on Some recents results on polytopes, Bertinoro, Seminaire Lotharingien de Combinatoire, September 6-9, 2015.
   for the Italian Ministry of Education