Bruno Benedetti


Assistant Professor

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


Basic teaching

   Survey of Modern Algebra
MATH 461G, Spring 2018 - Syllabus - Homework 1 (due Jan 26): Ex. 0,2,3,5,6, page 26 - Homework 2 (Feb 2): Ex. 1,7,8,9,10,13, p.26.
Anybody can count: 0,1,2,3... so we all understand the natural numbers. But what about the other numbers? What is a fraction? What is a polynomial? Is there a fraction to express √5? And why do we do geometry in the Cartesian plane RxR? And many more questions: What are the last two digits of 15612012986? Why 1/7, 2/7, 3/7, 4/7... are all periodic, and the period is exactly six digits? 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.
Previous editions:
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 - Homework 1 (due Jan 26): Ex. 15, 23, 30, 33, 43 page 35. Ex. 16 page 53. Ex 34 page 55. Exercises 23, 28 page 67. Homework 2 (due Feb 2): Ex. 35, page 55. Ex. 53, p. 56. Ex. 12, p. 65. Ex. 30,33, p. 67. Ex. 2, p. 78. Ex 12, p. 79.

A tough course on basic logic, basic arithmetic, and basic graph theory, that will help you think like a mathematician.

   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 teaching

   Polytopes
MATH 786 R and 471 R, Fall 2016- Syllabus

   for 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